How do I go about solving this? (Teacher got sick mid-lesson & still wanted us to finish the worksheet but he never went over how to solve this kind of equation) Any kind of help is greatly appreciated.
[tex]g(a) = 4a-2\\h(a) = 3a\\Find: g(h(8))[/tex]

Answers

Answer 1

The composite function g(h(8)) when evaluated is 94.

Evaluating the composite functions

From the question, we have the following parameters that can be used in our computation:

g(a) = 4a - 2

h(a) = 3a

To find g(h(8)), we need to first evaluate h(8), and then plug that result into g(a) and simplify.

h(a) is defined as 3a, so h(8) = 3(8) = 24.

Now we can plug in 24 for a in g(a) and simplify:

g(a) = 4a - 2

g(h(8)) = g(24) = 4(24) - 2 = 94

Therefore, g(h(8)) = 94.

Read more about composite function at

https://brainly.com/question/10687170


#SPJ1


Related Questions

How do you calculate the distance traveled by an object by first calculating when it is stopped?

Answers

To calculate the distance traveled by an object by first calculating when it is stopped, you need to follow these steps:
1. Identify the terms

2. Use the given information

3. Determine when the object is stopped

4. Calculate the distance traveled


Identify the terms:

For this question, we are focusing on distance, velocity, time, and acceleration. The object is stopped when its velocity is zero.
Use the given information:

Collect any given values such as initial velocity, final velocity, time, and acceleration.
Determine when the object is stopped:

To find out when the object is stopped, you'll need to use the equation v = u + at, where v is final velocity (0 m/s when stopped), u is initial velocity, a is acceleration, and t is time.

Solve for t (time) when the object is stopped: t = (v - u) / a.
Calculate the distance traveled:

Now that you have the time when the object is stopped, use one of the equations of motion to find the distance traveled.

We can use the equation s = ut + 0.5at²,

where s is the distance, u is initial velocity, t is the time when the object is stopped, and a is acceleration.
By following these steps and using the provided terms, you'll be able to calculate the distance traveled by an object by first calculating when it is stopped.

For similar question on distance.

https://brainly.com/question/17273444

#SPJ11

Find the value of x and y 45 5

Answers

answer is : x 25. y = 20 both y's will cancel . 2x =50.=x=25

PLEASE HELP ME! I’m not sure how to do this :(

Answers

The distance from Earth to Mercury is approximately 5.7 x 107 miles, which is less than the fuel capacity of Spigot to travel 125% of the distance from Earth to Mars. Therefore, Spigot has enough fuel to travel from Earth to Mercury and return to Earth before refueling. The correct option is D.

What is distance?

Distance refers to the amount of space between two points, objects, or locations. It is typically measured in units such as meters, kilometers, miles, feet, or yards. Distance can be measured in a straight line or along a curved path, depending on the context.

Distance is often used in conjunction with time to calculate speed and velocity. For example, the distance traveled by a car in a certain amount of time can be used to calculate its speed.

Learn more about distance on

https://brainly.com/question/26550516

#SPJ1

How can i do parallelogram shown below has an area of
15
1515 units
2
2

Answers

The height of given parallelogram is 5 units.

Given that, the parallelogram shown below has an area of 15 units.

The base is 3 units.

We know that, the area of a parallelogram is Area = Base × Height

Here, Area = 3×Height

15 = 3×Height

Height = 15/3

Height = 5 units

Therefore, the height of given parallelogram is 5 units.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

The parallelogram shown below has an area of 15 units. Find the missing height.

you have a cake that is 16 inches by 18 inches.you want each piece to be exactly the same size.how many people can u serve equal sized piece of cake

Answers

The number of people are 72.

What is HCF?

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

What is LCM?

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

To know more about HCF visit:

https://brainly.com/question/29114178

#SPJ1

We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

What is area?

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

Learn more about area on:

https://brainly.com/question/16519513

#SPJ1

Please help me.
Giving 40 points

Answers

a) i) The pressure on the ground by snowshoe hare is 0.07 N/cm².

ii) The pressure on the ground by European hare is 0.15 N/cm².

b) The snowshoe hare is suited to living in snow because it has a larger surface area of feet.

a) The pressure on the ground can be calculated by dividing the force on the ground due to weight by the total surface area of the feet.

i) For the snowshoe hare, the pressure on the ground is:

Pressure = Force on ground / Total surface area of feet

Pressure = 14 N / 200 cm²

Pressure = 0.07 N/cm²

ii) For the European hare, the pressure on the ground is:

Pressure = Force on ground / Total surface area of feet

Pressure = 38 N / 250 cm²

Pressure = 0.15 N/cm²

b) The snowshoe hare is suited to living in snow because it has a larger surface area of feet than the European hare and exerts less pressure on the ground. This allows the snowshoe hare to move more easily over the snow without sinking.

Additionally, the snowshoe hare has fur on the soles of its feet, which provides additional insulation against the cold snow. These adaptations help the snowshoe hare survive in its snowy environment by allowing it to move and find food more easily.

To learn more about pressure click on,

https://brainly.com/question/20505232

#SPJ1

If a sphere has a volume of 36π cubic inches, what is its radius?

radius = ___ inches

Answers

The radius of the sphere is approximately 3.634 inches.

We have,

The formula for the volume of a sphere is:

V = (4/3)πr³

where V is the volume of the sphere and r is its radius.

We know that the volume of the sphere is 36π cubic inches.

Substituting this value into the formula, we get:

36π = (4/3)πr³

Multiplying both sides by 3/4π, we get:

r³ = (36π)/(3/4π) = 48

Taking the cube root of both sides.

r = (48)^(1/3)

r = 3.634 inches (rounded to three decimal places)

Therefore,

The radius of the sphere is approximately 3.634 inches.

Learn more about Sphere here:

https://brainly.com/question/12390313

#SPJ1

Read this excerpt from "A Visit from the Goon Squad."

Whatever the reason, a swell of approval palpable as rain lifted from the center of the crowd and rolled out toward its edges, where it crashed against buildings and water wall and rolled back at Scotty with redoubled force, lifting him off his stool, onto his feet (the roadies quickly adjusting the microphones), exploding the quavering husk Scotty had appeared to be just moments before and unleashing something strong, charismatic, and fierce. Anyone who was there that day will tell you the concert really started when Scotty stood up.

How does the author portray Scotty in this excerpt?
His confidence is transformed by the crowd’s response.
His musical ability is improving as he performs.
His anger is unleashed by the chaos of the crowd.
His excitement is shown by his moves on stage.

Answers

Answer:

His confidence is transformed by the crowd’s response.

Step-by-step explanation:

Scotty is described as being a "quavering husk...just moments before." This shows his lack of confidence and anxiety about being on stage.

The sales department at a certain company consists of two ​people, the manufacturing department consists of six ​people, and the accounting department consists of four people. Three people will be selected at random from these people and will be given gift certificates to a local restaurant. Determine the probability that two of those selected will be from the manufacturing department and one will be from the accounting department. Assume that the selection is done without replacement.

Answers

The probability that two of those selected will be from the manufacturing department and one will be from the accounting department is approximately 0.409.

To solve the problem, we first need to find the total number of ways to select 3 people out of the 12 people in the company, which is given by the combination formula:

C(12,3) = 12! / (3! * (12-3)!) = 220

Next, we need to find the number of ways to select 2 people from the manufacturing department and 1 person from the accounting department. We can do this by using the combination formula again:

C(6,2) * C(4,1) = (6! / (2! * (6-2)!)) * (4! / (1! * (4-1)!)) = 90

Finally, we can find the probability by dividing the number of desired outcomes by the total number of possible outcomes:

P(2 manufacturing, 1 accounting) = 90 / 220 ≈ 0.409

To learn more about probability click on,

https://brainly.com/question/14227784

#SPJ1

a cathedral ceiling shown in the figure below is 8 feet high at the west wall of a room. as you go from the west wall toward the east wall, the ceiling slants upward. three feet from the west wall, the ceiling is 10.5 feet high. exercise (a) what is the slope of the ceiling? step 1 the slope is the rise over the run. when we move 3 feet east from the west wall the run is incorrect: your answer is incorrect. feet. the corresponding rise is the difference in ceiling heights. rise

Answers

The slope of the cathedral ceiling is 0.83.

To calculate the slope of the cathedral ceiling, we need to find the rise over the run. The rise is the difference in ceiling heights between the two points. The run is the horizontal distance between the two points.

From the problem statement, we know that the ceiling is 8 feet high at the west wall and 10.5 feet high three feet from the west wall. So the rise is:

rise = 10.5 - 8 = 2.5 feet

The run is the horizontal distance between the two points, which is:

run = 3 feet

Now we can calculate the slope:

slope = rise/run = 2.5/3 = 0.83

Therefore, the slope of the cathedral ceiling is 0.83.

Learn more about slope

https://brainly.com/question/3605446

#SPJ4

In this polygon, all angles are right angles.
What is the area of the polygon? Show your work.

Answers

The area of the polygon is solved to be  1044 squared cm

How to find the are of the c]polygon

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

Learn more about area at

https://brainly.com/question/2607596

#SPJ1

Determine whether the triangles are similar. If so, write a similarity statement. Explain ur reasoning.

Answers

Answer:

Both 2B and 2A are not similar.

Step-by-step explanation:

----------------------------------------

Let me be helpful!

Let's start with 2B. It is easier to understand the subject that way.

->for a triangle to be similar, it's angles and sides must be the same.

-2B's triangle shows that line TW got scaled by x2.2 (22/10)

-Line ZW got scaled by 1.18

-2b are not similar.

Now on it 2A!

- line JK got scaled by 0.75

- Line JL got scaled by 0.5

-they are not similar

Let me know if I am incorrect!

-A friendly 8th grader :)

Graph the data set. {(0, 0), (−1, −3), (−2, −6), (−3, −9), (−4, −12)} Which kind of model best describes the data?

Answers

Answer:

linear

Step-by-step explanation:

i js took the test

The kind of model that best describes the data is a linear relation

Calculating the kind of model best describes the data?

From the question, we have the following parameters that can be used in our computation:

{(0, 0), (−1, −3), (−2, −6), (−3, −9), (−4, −12)}

In the above dataset, we can see that

As x increases by -1The values of y increases by -3

Using the above as a guide, we have the following:

The relation has a constant rate of -3/-1

Evaluate

The relation has a constant rate of 3

Only linear relations have constant rates

Hence, the kind of model that best describes the data is a linear relation

Read more about linear relation at

https://brainly.com/question/30318449

#SPJ1

3-4 If you know the rise and run of a fable roof, you can calculate the rake length and area using slope factors. (True or False)

Answers

Given statement "3-4 If you know the rise and run of a fable roof, you can calculate the rake length and area using slope factors." is true. Because the rise and run of a gable roof allows you to calculate the slope factor, which can then be used to calculate the rake length and area of the roof.

If you know the rise and run of a gable roof, you can calculate the rake length and area using slope factors. The slope factor is a ratio that relates the length of the roof to the height of the roof.

The slope factor is calculated by dividing the rise of the roof by the run of the roof. Once you have the slope factor, you can use it to calculate the rake length and area of the roof.

The rake length is the length of the diagonal edge of the roof, and it can be calculated by multiplying the slope factor by the run of the roof.

For example, if the run of the roof is 10 feet and the slope factor is 0.5 (which corresponds to a 6:12 pitch), then the rake length would be 5 feet (0.5 x 10).

The area of the roof can be calculated by multiplying the rake length by the width of the roof.

For example, if the width of the roof is 20 feet and the rake length is 5 feet, then the area of the roof would be 100 square feet.

Statment is true.

For similar question on rise and run

https://brainly.com/question/17314913

#SPJ11

A certain sine function has a midline at y=3.
Which function rule could model this situation?

Answers

The function rule that could model this situation is f(x)=sin(x)+3. The correct answer is (c).

Understanding sine function

The sine function is a mathematical function that describes a periodic oscillation. It is one of the basic trigonometric functions, along with cosine, tangent, cotangent, secant, and cosecant.

Let us relate this to our given question.

The midline of a sine function is the horizontal line that the graph oscillates around.

In this case, the midline is y=3, which means that the sine function oscillates between y=3+1=4 and y=3-1=2.

The function rule that could model this situation is c. f(x)=sin(x)+3, because adding 3 to the sine function shifts the midline up to y=3, and the sine function oscillates between y=4 and y=2.

Learn more about sine function here:

https://brainly.com/question/12595712

#SPJ1

Whats a product with 2 consecutive digits

Answers

The two consecutive digits whose product is 132 are equals to 11 and 12.

Product of two consecutive digits = 132

Let us consider that the two consecutive digits are y and y+1.

Then we can write the expression as,

⇒y × ( y + 1 ) = 132

Expanding the left side of the expression, we get,

⇒ y² + y = 132

Rearranging the values and solving for y, we get,

⇒ y² + y - 132 = 0

Factorize this quadratic equation to get the value of y we have,

⇒ y² + 12y - 11y - 132 = 0

⇒ y( y + 12 ) -11 ( y + 12 ) = 0

⇒ ( y + 12)(y - 11) = 0

This implies,

The two possible values of y are -12 and 11.

However, choose the positive value of y .

Since we are dealing with digits.

Thus, y = 11, and the consecutive digits are 11 and 12.

Therefore, the two consecutive digits are 11 and 12, and their product is indeed 132.

Learn more about consecutive digits here

brainly.com/question/29015567

#SPJ1

The given question is incomplete, I answer the question in general according to my knowledge:

The product of two consecutive digit is equal to 132 . What are the numbers?

4.a) Increase £75 by 5%

Please help me and explain this to me.​

Answers

Answer:

£78.75

Step-by-step explanation:

An easy way step but longer way to do this is

10% of 75 is 7.5 ((75/10= 7.5))

divide by 2 on both sides

5% = 3.75

then just add it, its increasing 75 by 5%

so 75 + 3.75 = 78.75

100% of £75 is

100/100 × £75 = £75 .

increasing it by 5% means +5%

so

100% + 5% = 105%

105% of £75 is

105/100 × £75 = £78.75

hope this helps :)

2.
(05.02 MC)

Given ΔABC, what is the measure of b? (2 points)

Triangle ABC with angle A measuring 54 degrees and angle C measuring 59 degrees and side BC measuring 11
b = 9.668
b = 11.655
b = 12.516
b = 16.841

Answers

The measure of side ‘b’ in the given triangle ABC, with angle A measuring 54 degrees and angle C measuring 59 degrees and side BC measuring 11 is option-c:12.516, which is found using Sine-law.

What is Sine-law?

In a scalene or oblique triangle (a non-right triangle), the law of sine describes the relationship between the sides and angles. Trigonometric laws such as the law of sines and law of cosines are crucial when "solving a triangle" by calculating the unknown angles or sides. The ratio of a triangle's side lengths to the sine of each of its opposite angles must be equal in order for the sine rule to apply. Triangle side length ratios to their corresponding opposite angles are connected by the law of sines. All three sides and the diagonal angles maintain the same ratio.

Given that ∠A= 54° ,∠C= 59° & side BC=a=11

We know that ∠A + ∠B + ∠C = 180°   {angle sum property}

Consider △ABC,

54° + 59° +  ∠B = 180°

113° +  ∠B = 180°

∠B = 180°- 113°

∠B = 67°

Applying Sine-Law,

[tex]\frac{A}{sin\ A} =\frac{B}{sin\ B} = \frac{C}{sin\ C}[/tex]

By using,

[tex]\frac{A}{sin\ A} =\frac{B}{sin\ B}[/tex] , we get:

[tex]\frac{11}{sin\ 54} =\frac{B}{sin\ 67}\\ \\\frac{11}{0.80901} =\frac{B}{0.92050} \\\\B=\frac{11}{0.80901} \times 0.92050[/tex]

B = 13.59686 x 0.92050

B = 12.5159

B = 12.516

To know more about Sine-law , visit:

https://brainly.com/question/17289163

#SPJ1

Refer to the attachment for the complete question.

Need help completing this

Answers

Answer:

a) What is her GROSS pay for a week? 1,400

b) What is her GROSS pay for a year? 67,200

c) What are her TOTAL DEDUCTIONS for a week? 351.39

d) What is her NET pay for a week? 1,048.61

e) What is her NET pay for a year? 50,333.28

f) What does she pay in Income Tax per YEAR? 13,535.52

g) What does she pay in CPP contributions per YEAR? 2,537.28

h) What does she pay in El contributions per YEAR? 793.92

i) What percentage of her yearly Gross Pay is the yearly Income Tax she pays? 20.14%

Step-by-step explanation:

 GROSS

without tax or other contributions having been deducted

 NET

Net pay means take-home pay or the amount employees earn after all payroll deductions are subtracted from their gross pay.

 There are 4 weeks in a month, 52 weeks in a year.

a) What is her GROSS pay for a week? 1,400

The amount of money she makes per hour  ×  the amount of hours she works per week35 × 401,400

b) What is her GROSS pay for a year? 67,200

The amount of money she earns in a month × 12(The amount of money she makes per week × 4) × 12(1,400 × 4) × 125600 × 1267,200

c) What are her TOTAL DEDUCTIONS for a week? 351.39

Income Tax + CPP + El281.99 + 52.86 + 16.54334.85 + 16.54351.39

d) What is her NET pay for a week? 1,048.61

Her gross pay for a week - Her total deductions for a week1,400 - 351.391,048.61

e) What is her NET pay for a year? 50,333.28

Her gross pay for a year - Her total deductions for a yearHer gross pay for a year - ([Her total deductions for a week × 4] × 12)Her gross pay for a year - ([351.39 × 4] × 12)67,200 - ([351.39 × 4] × 12)67,200 - (1,405.56 × 12)67,200 - 16,866.7250,333.28

f) What does she pay in Income Tax per YEAR? 13,535.52

Income tax per month × 12(Income tax per week × 4) × 12(281.99 × 4) × 121,127.96 × 1213,535.52

g) What does she pay in CPP contributions per YEAR? 2,537.28

CPP per month × 12(CPP per week × 4) × 12(52.86 × 4) × 12211.44 × 122,537.28

h) What does she pay in El contributions per YEAR? 793.92

El per month × 12(El per week × 4) × 12(16.54 × 4) × 1266.16 × 12793.92

i) What percentage of her yearly Gross Pay is the yearly Income Tax she pays? 20.14%

(Her yearly Income Tax ÷ Her yearly Gross Pay) × 100(13,535.52 ÷ 67,200) × 1000.20142... × 10020.142...% or 20.14%

Please help with functions!

Answers

The linear equation have the following results: f(- 2) = 0, f(0) = 2, f(1) = 3.

How to evaluate a linear equation

In this problem we find a linear equation that must be evaluated at x = - 2, x = 0 and x = 1. Linear equations are expressions of the form:

y = m · x + b

Where:

m - Slopex - Independent variable.b - Intercepty - Dependent variable.

Now we proceed to evaluate the function, the results are described:

x = - 2

f(- 2) = - 2 + 2

f(- 2) = 0

x = 0

f(0) = 0 + 2

f(0) = 2

x = 1

f(1) = 1 + 2

f(1) = 3

To learn more on linear equations: https://brainly.com/question/29025867

#SPJ1

Let f be the function given by f(x)=2x3+3x2+1. What is the absolute maximum value of f on the closed interval [â3,1] ?

Answers

The absolute maximum value of f(x)=2x³ +3x² +1 on the closed interval [-3, 1] is 6, which occurs at x=1.

To find the absolute maximum value of the function f(x) on the closed interval [-3, 1], we need to evaluate the function at the endpoints of the interval and at any critical points in the interior of the interval.

First, we evaluate the function at the endpoints of the interval

f(-3) = 2(-3)³ + 3(-3)² + 1 = -17

f(1) = 2(1)³ + 3(1)² + 1 = 6

Next, we find the critical points of the function f(x) by taking its derivative and setting it equal to zero

f'(x) = 6x² + 6x

6x(x+1) = 0

x = 0 or x = -1

Now we evaluate the function at these critical points

f(0) = 1

f(-1) = 2(-1)³ + 3(-1)² + 1 = 2

Therefore, the absolute maximum value of f(x) on the closed interval [-3, 1] is 6, which occurs at x=1.

Learn more about absolute maximum value here

brainly.com/question/29449130

#SPJ4

The given question is incomplete, the complete question is:

Let f be the function given by f(x)=2x³ +3x² +1. What is the absolute maximum value of f on the closed interval [-3,1] ?

If x = 4 units , y = 6 units, and h =5 units, and the area of the rhombus shown above using decomposition

Answers

The total area of the rectangle and the two right-angled triangles is 50 square units.

What is meant by area?

Area refers to the measurement of the size or extent of a two-dimensional surface or shape. It is usually expressed in square units, such as square meters or square feet.

What is meant by a rectangle?

A rectangle is a four-sided polygon with two pairs of parallel sides and four right angles. The opposite sides of a rectangle are equal in length, and the area can be calculated as length x width.

According to the given information

Area of rectangle = h * x

Area of one right-angled triangle = (1/2) * h * y

Total area of two right-angled triangles = 2 * (1/2) * h * y = h * y

Adding the area of the rectangle and the area of the triangles, we get the total area:

Total area = Area of rectangle + Total area of two right-angled triangles

Substituting the given values, we get:

Total area = (5 * 4) + (5 * 6)

Total area = 20 + 30

Total area = 50 square units

To know more about the area visit

brainly.com/question/27683633

#SPJ1

Use inverse operations to solve each of the following quadratic equations. Put each of your responses in the simplest radical form possible.

Answers

The given quadratic equations by solving using inverse operations gives,

(a) x = ±2√2, (b) x = ±3√2 + 5, (c) x = ±4√2, (d) x = ±√90 - 2 and (e) x = 4 ±3√3.

Given are some quadratic equations.

We have to solve this using the inverse operations.

Inverse operations are operations which undo the operation which is done to the equation.

(a) 1/2 x² - 4 = 0

Adding both sides by 4,

1/2 x² = 4

Multiplying both sides by 2,

x² = 8

Taking the square root on both sides,

x = ±√8 = ±2√2

(b) (x - 5)² = 18

Taking the square root on both sides,

x - 5 = ±√18

x - 5 = ±3√2

Adding 5 on both sides,

x = ±3√2 + 5

(c) 2x² + 7 = 71

Subtracting by 7 on both sides,

2x² = 64

Dividing by 2 on both sides,

x² = 32

Taking the square root on both sides,

x = ±4√2

(d) 5 (x + 2)² + 37 = 487

Subtracting by 37 on both sides,

5 (x + 2)² = 450

Dividing by 5 on both sides,

(x + 2)² = 90

Taking the square root on both sides,

x + 2 = ±√90

Subtracting by 2 on both sides,

x = ±√90 - 2

(e) (x - 4)² /3 + 8 = 17

Subtracting by 8 on both sides,

(x - 4)² /3 = 9

Multiplying both sides by 3,

(x - 4)² = 27

Taking the square root on both sides,

x - 4 = ±3√3

Adding both sides by 4,

x = 4 ±3√3

Hence the values are found.

Learn more about Quadratic Equations here :

https://brainly.com/question/2617663

#SPJ1

There are 56 people at the party. Only 14
of them are wearing red. What percent of
people are NOT wearing red?

Answers

Answer: 75%

have a good day/night and crush that homework/class!! you are loved

brainliest??

Answer: 75%

Step-by-step explanation: 56 - 14 = 42. So, 42 people are not wearing red. 42/56 is .75, which is the decimal form for 75%. Also, if you simplify 42/56, you get 3/4 which is also 75%

Which is more, 7 yards or 19 feet?

Answers

According to the given condition, 7 yards is more than 19 feet, To compare different units of measurement, we need to convert them to the same unit.

What is multiplication?

Multiplication is an arithmetic operation that involves combining two or more numbers to get a product. It is a way of repeatedly adding a number to itself a certain number of times. The number being multiplied is called the multiplicand, while the number of times it is being multiplied is called the multiplier. The result of the multiplication operation is called the product.

According to the given information:

To compare 7 yards and 19 feet, we need to convert them to the same unit. Since 1 yard is equal to 3 feet, we can convert yards to feet by multiplying by 3, and we can convert feet to yards by dividing by 3.

In the first answer, we converted 7 yards to feet by multiplying by 3, which gave us 21 feet. Then we compared 21 feet to 19 feet, and found that 21 feet is greater than 19 feet. Therefore, we concluded that 7 yards is more than 19 feet.

In the second answer, we converted 19 feet to yards by dividing by 3, which gave us approximately 6.33 yards (rounded to two decimal places). Then we compared 7 yards to 6.33 yards, and found that 7 yards is greater than 6.33 yards. Therefore, we concluded that 7 yards is more than 19 feet.

Therefore, according to the given condition, 7 yards is more than 19 feet, To compare different units of measurement, we need to convert them to the same unit.

To know more about multiplication visit:

https://brainly.com/question/1135170

#SPJ1

Mr. Liaw has two cylindrical travel mugs that he likes to take on his drive to work. His stainless steel mug has a height of 8.5 inches and a radius of 1.5 inches. What is the volume of the stainless steel mug?
Use ​≈3.14 and round your answer to the nearest whole number

Mr. Liaw's ceramic mug has the same volume, but a radius of 2 inches. What is the height of the ceramic mug?
Use ​≈3.14 and round your answer to the nearest whole number

Answers

Therefore , the solution of the given problem of volume comes out to be ceramic mug has a 5 inch height.

What does volume actually mean?

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. The indications for cubic measurements are litre and in3. However, you have to be cognizant of an object's volume in order to calculate its dimensions. Converting an object's weight into metric units like iii . and kilogrammes is a standard technique.

Here,

The following formula determines a cylinder's volume:

=> V = π * r² * h

where r is the cylinder's radius and h is its height, and is roughly equivalent to 3.14.

For the mug made of stainless steel:

1.5 inches is the radius (r).

Height in inches (h) is 8.5

With these values entered into the formula, we obtain:

=> V = 3.14 * (1.5)² * 8.5

=> V ≈ 3.14 * 2.25 * 8.5

=> V ≈ 60.14

The stainless steel mug has a 60 cubic inch volume, rounded to the nearest whole number.

Regarding the mug:

Radius (r) equals two inches

Given that it has the same volume as the stainless steel mug, its volume (V) is equal to 60 cubic inches.

=> 60 = 3.14 * (2)²* h

=> h = 60 / (3.14 * 4)

=> h ≈ 4.77

The ceramic mug has a 5 inch height.

To know more about volume , visit:

https://brainly.com/question/13338592

#SPJ1

How could you mathematically prove that the elevation on ramp B is steeper than ramp A? (without using logic)

Answers

Elevation on ramp B is more steep than ramp A.

What is elevation?

"Elevation" typically refers to the height of a location above sea level. It is often used in geography and topography to describe the height of a mountain or the altitude of a city or other location. Elevation is usually measured in feet or meters, and it can have a significant impact on climate, weather patterns, and other environmental factors.

What is steep?

"Steep" can have a few different meanings depending on the context. It can refer to a steep slope or incline, such as a steep hill or mountain. It can also mean a high price or cost, as in "the price is too steep for me." Additionally, "steep" can refer to the act of soaking something in hot water in order to extract flavor, as in steeping a tea bag in hot water.

For RampA:

tanα=36/30

tanα=1.2

For Ramp B:

tanβ=36/20

tanβ=1.8

Therefore for Ramp B angle is more than Ramp A and incase of tangent function value of angle increases with the angle measures.

So β>α.

Learn more about elevation here:

https://brainly.com/question/29477960

#SPJ1

The National Junior Honor Society made $238at their cake sale. They sold circular Shaped cakes for $7 and heart shaped cakes for $5. If they Sold twice as many heart cakes as circular ones. how many heart cakes did they sell?​

Answers

The number of heart cakes that were sold at the cake sale was 28

According to the question,

Cost of circular-shaped cake = $7

Cost of heart shaped cake = $5

Total sale = $238

Let the number of circular cakes shaped be x

Since the number of heart cakes was sold twice as many as the circular cake, the number of heart cakes will be 2x

Cost of x circular-shaped cake = $7 * x

Cost of 2x heart shaped cake = $5 * 2x

Total sale = Cost of x circular cake + Cost of 2x heart cake

Thus, we get the following equation,

238 = 7x + 10x

238 = 17x

x = 14

Thus, the number of heart cakes sold was 2x that is 28.

Learn more about Equation:

https://brainly.com/question/28871326

#SPJ1

2. A carnival game uses a fair spinner with 16 sections. There are 2 white sections, 4 red sections, and 10 blue sections on the spinner. Part A Find the probability of each event. Express your answer as a fraction in simplest form. P(blue) = = P(green) = P(red) =​

Answers

The probability of landing on a blue section on the spinner is 10/16, which simplifies to 5/8.

The probability of landing on a green section is 0/16, which simplifies to 0.

The probability of landing on a red section is 4/16, which simplifies to 1/4.

What is probability?

The probability of any event occurring is calculated by finding the total number of possible outcomes that would result in that event occurring, and then dividing that number by the total number of possible outcomes.

In this case, the total number of possible outcomes is 16, since there are 16 sections on the spinner.

The total number of outcomes that would result in a blue section being chosen is 10, since there are 10 blue sections on the spinner.

Dividing 10 by 16 gives us the probability of landing on a blue section, which is 5/8.

The same process is used to calculate the probabilities for green and red sections, with the only difference being that the number of sections for each color is different.

Since there are no green sections, the probability of landing on a green section is 0.

There are 4 red sections, so the probability of landing on a red section is 4/16, which simplifies to 1/4.

For more questions related to event

https://brainly.com/question/29782219

#SPJ1

Henry is saving up to buy a new jacket. He already has $95 and can save an additional $5 per week using money from his after school job. How much total money would Henry have after 10 weeks of saving? Also, write an expression that represents the amount of money Henry would have saved in w weeks

Answers

An expression that represents the amount of money Henry would have saved in w weeks is $95 + ($5 x w)

Henry already has $95, and he can save an additional $5 per week. So after one week of saving, Henry would have a total of $100 ($95 + $5). After two weeks, he would have $105 ($100 + $5), and so on.

To find out how much total money Henry would have after 10 weeks of saving, we can use the same method. After 10 weeks, Henry would have saved a total of $145 ($95 + ($5 x 10)). So, Henry would have a total of $145 after 10 weeks of saving.

Now, let's talk about an expression that represents the amount of money Henry would have saved in w weeks. We can use the formula:

Total amount saved = $95 + ($5 x w)

This formula takes into account the $95 that Henry already has, and the additional $5 he can save each week. The "w" in the formula represents the number of weeks Henry has been saving for. By plugging in different values of "w", we can determine how much money Henry would have saved at different points in time.

To know more about expression here

https://brainly.com/question/14083225

#SPJ4

Other Questions
Why does the poet only write 2 lines in stanzas 1 and 5? ResponsesA To emphasize the questions the speaker has about the futureTo emphasize the questions the speaker has about the futureB To show the questions needed to become who you really areTo show the questions needed to become who you really areC To highlight the different professions the speaker can pursueTo highlight the different professions the speaker can pursueD To explain how to read the different stanzas in the poemTo explain how to read the different stanzas in the poem PLS ANSWER ITS A REALLY IMPORTANT TESThERE IS THE POEM6 of 106 of 10 Items25:40FeatureLost in My MindHannah Bright Adrift in the sea of thoughts, I was lost in my mind. Not knowing where to turn, I was sure to find 5 the troubles, the woes that came with the grind. I was lost in my mind. The day turned to darkness, and the darkness declined 10 for it couldnt be praised nor maligned. And it seemed certain to be resigned to the fate that was once signed and sealed by the unkind. I was lost in my mind 15 A pearl of wisdom that the sage opined is neither to be trifled with nor declined. The need is ever-growing for humankind to heed it, to shine it, 20 and to keep it enshrined. I was lost in my mind. My eyes were lights left behind by the stars shooting by in the darkest night. 25 Not confined to the bounds of my mind, I realized I was NOT lost in my mind. Scenario: Susan Goes Global with Grape Fizz Susan is the CEO of Grape Fizz, a global drinks-manufacturing company. She wishes to set up production facilities in other countries and has been advised to assess the political system of each country before she does so. Susan is worried that Dan Marino's demand that she must use locally available raw material and employ local workers might interfere with the quality and efficiency of her business. San Marino, on the other hand, views this as a way to foster local business activity and lessen regional unemployment. What are these laws called What is a form of government in which power is divided between state governments and a national government Balance the following redox reactions in acidic solution a) TeO3?2- ?+ N2O4 --> Te + NO3?-? b) ReO4-? + IO- --> Re + IO3- The right organizational culture and structure can make it easier for an honest person to act out her/his impulse to behave unethically. O True False 2 points An advantage of the consequence-based theory is that it recognizes the intrinsic value of the human being. O True False discuss, analyze and explain how we handle the selection and useof current communications technologies.200-300 words please 35 Points! Multiple choice. State the domain and range of the function graphed. Photo attached. Thank you! Which conditions can cause hypercapnia? (select all that apply)Disease of the medullaLarge airway obstructionIncreased respiratory driveThoracic cage abnormalitiesDepression of the respiratory center Which one of the following statements best explains why a constant magnetic field can do no work on a moving charged particle?a) The magnetic field is conservative.b) The magnetic force is a velocity dependent force.c) The magnetic field is a vector and work is a scalar quantity.d) The magnetic force is always perpendicular to the velocity of the particle.e) The electric field associated with the particle cancels the effect of the magnetic field on the particle. Read lines 1 and 2 from the poem:Something there is that doesn't love a wall,That sends the frozen-ground-swell under it,What does the word "it" refer to? Question 42A major problem that is thwarting efforts to clean up the air is:a. Lack of interest in the programsb. Lack of routine air quality monitoring in developing nationsc. Lack of governmental agreement as the quality standardsd. Economic policies preclude working on air quality issues Please discuss the differences between spot exchange rate, forwardexchange rate, cross-exchange rate, and managed exchange rate.Provide an example of a country using these mechanisms Define Write a brief definition for the term Constitution? A. H2OB. NH3C. BH3D. CH4E. SiH4Which is predicted to have the largest bond angle In chapter 9 of the Born a Crime book, what words, phrases, and descriptions best determine the tone of this? The best known effect of smoking during the prenatal period is _____ What do you think are 5 of the most important technological inventions in human history? Why? On the pipe, the pressure gauge says urgent! What does this mean? En mi cuaderno, reescribo las siguientes oraciones y reemplazo las palabras sealadas por un hipernimo. Analizo qu tipo de relacin hay en cada caso. Question 50The majority of nitrogen oxide originates from:a. Motor vehiclesb. Volcanic eruptionsc. Home waste incinerationd. Burning of industrial wastes