Answer:
10*8y2
Step-by-step explanation:
(5*4y2)(2*2y)(5*4y2)(2*2y)5*4y2*2*2y(5*2)(4y2*2y)(10)(8y2)ASAPPP PLEAse 25 pointss
Show work it's already solved but show work\
`its 2 questions
Volume First Cylinder: 50.24 in³
Volume Second Cylinder: 127.5625 inch³
Volume Third Cylinder: 904.32 inch³
Volume First Cylinder:
= πr²h
= 3.14(2)² (4)
= 3.14 x 16
= 50.24 in³
Volume Second Cylinder:
= πr²h
= 3.14(2.5)² (6.5)
=3.14 (6.25)(6.5)
= 127.5625 inch³
Volume Third Cylinder:
= πr²h
= 3.14(6)² (8)
=3.14 (36)(8)
= 904.32 inch³
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How many significant digits are there in the number 9.15 x 10000
There are four significant digits in the number 9.15 x 10⁴.
The digits that provide the number with useful information are known as the important digits.
As they add to the value of the number in this instance, the numbers 9, 1, and 5 are all important.
The exponent, 4, just instructs us on how many places to relocate the decimal point, therefore it has no bearing on the number of significant digits.
Therefore, the number 9.15 x 10⁴ has four significant digits.
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The population of a city increases by 3.5% per year. If this year's population is
p, which expression does NOT represent next year's population?
3.5p
O (1+0.035)p
1.035p
O 1p+ 0.035p
The expression that does NOT represent next year's population is: [tex]O(1p +0.035)p[/tex]
What is an expression ?Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. Mathematical operations include addition, subtraction, multiplication, and division.
An example is the expression x + y, which combines the terms x and y with an addition operator.
In mathematics, there are two different types of expressions: algebraic expressions, which also include variables, and numerical expressions, which solely comprise numbers.
A number is [tex]6[/tex] more than half of the other number, which is x. This statement is represented by the mathematical equation [tex]\frac{x}{2} +6[/tex]. Mathematical expressions are used to solve complicated puzzles.
According to the problem,
The expression that does NOT represent next year's population is: [tex]O(1p +0.035)p[/tex]
This is because it incorrectly adds [tex]1p to 0.035p[/tex], which would result in an overestimation of the population growth.
The correct way to calculate next year's population with a growth rate of [tex]3.5[/tex]% is to multiply the current population (p) by [tex]1[/tex] + [tex]0.035[/tex], as shown in the other three expressions: [tex]3.5p, 1.035p, (1+0.035)p[/tex].
Therefore,the expression that does NOT represent next year's population is: [tex]O(1p +0.035)p[/tex]
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Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1. 18sin^2(x)cos^2(x)
An equivalent expression to 18sin^2(x)cos^2(x) that does not contain powers of trigonometric functions greater than 1 is 9 - 9cos(4x)/8.
How did we get the value?The power-reducing formulas state that:
sin^2(x) = (1 - cos(2x))/2
cos^2(x) = (1 + cos(2x))/2
Using these formulas, we can rewrite the expression 18sin^2(x)cos^2(x) as:
18sin^2(x)cos^2(x) = 18[(1 - cos(2x))/2][(1 + cos(2x))/2]
Expanding the right-hand side of the equation, we get:
18[(1 - cos^2(2x))/4]
Using the identity cos^2(2x) = (1 + cos(4x))/2, we can simplify further:
18[(1 - (1 + cos(4x))/2)/4] = 9 - 9cos(4x)/8
Therefore, an equivalent expression to 18sin^2(x)cos^2(x) that does not contain powers of trigonometric functions greater than 1 is 9 - 9cos(4x)/8.
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Please what is the answer?
Answer:
When we have a set of points, we can find the distance between them using the formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex], where d is the distance, x1 and x2 are one point and y1 and y2 are another point.
OB:
Thus, for OB, we can allow O(6, 6) to be our x1 and x2 point and we can allow B(9, 6) to be our y1 and y2 point:
[tex]d=\sqrt{(6-9)^2+(6-6)^2} \\d=\sqrt{(-3)^2+(0)^2} \\d=\sqrt{(-9)} \\d=3[/tex]
Thus, the first part/step in the equation is your subtraction expression to find the length of OB.
AB:
For AB, we can allow A(9, 10) to be our x1 and x2 point and we can allow B (9, 6) to be our y1 and y2 point:
[tex]d=\sqrt{(9-9)^2+(10-6)^2}\\ d=\sqrt{(0)^2+(4)^2}\\ d=\sqrt{16}\\ d=4[/tex]
The first part/step is your subtraction expression for the length of AB.
Chanasia buys a plastic bucket. The bucket weighs 460 g. The label on the bucket says made with 20% recycled plastic. How many grams of recycled plastic are used to make Chanasia’s bucket?
please help and please show work
92 grams of recycled plastic were used to make Chanasia's bucket
How to calculate the amount of recycled plastic that was used to make Chanasia's bucket?Chanasia buys a plastic bucket
The bucket weighs 460 grams
The label on the bucket says it was made with 20% recycled plastic
The number of grams of recycled plastic that was used to make the bucket can be calculated as follows
= 460/100
= 4.6
= 4.6 × 20
= 92
Hence 92 grams of recycled plastic was used to make the bucket
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Find the value of x
The value of 'x' in the given figure is 14.73.
The given figure is a Right-angled triangle.
According to the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of squares of the adjacent side and the opposite side.
In the given figure,
Hypotenuse is 19.
The adjacent side is 12.
The opposite side is x.
Now, we have to find the value of x.
According to the theorem,
19² = 12²+x²
361 = 144+x²
x² = 361 - 144
x² = 217
x = √217
x = 14.73
Therefore, the value of 'x' in the given figure is 14.73.
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NO LINKS!! URGENT HEL PLEASE!!!
Use tests for symmetry to determine which graphs from the lists below are symmetric with respect to the y-axis, the x-axis, and the origin. (Select all that apply)
a. symmetric with respect to the y-axis
Using the tests for symmetry, the following are symmetric with respect to y-axis:
y = - x + 7y = - 7x²x = - y² + 9How to determine symmetricity?A graph is symmetric with respect to the y-axis if replacing x with -x produces an equivalent equation.
A graph is symmetric with respect to the x-axis if replacing y with -y produces an equivalent equation.
A graph is symmetric with respect to the origin if replacing x with -x and y with -y produces an equivalent equation.
(a) symmetric with respect to the y-axis:
y = 7x - 4 (no)
y = - x + 7 (yes)
y = - 7x² (yes)
y = 6x² - 9 (no)
x = 1/4 × y² (no)
x = - y² + 9 (yes)
y = - 1/6 × x³ (no)
y = x³ - 1 (no)
y = √(x) (no)
y = √(x) - 6 (no)
Therefore, the graphs that are symmetric with respect to the y-axis are:
y = - x + 7
y = - 7x²
x = - y² + 9
None of the graphs are symmetric with respect to the x-axis or the origin.
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Sarah is borrowing money from a friend. She is paying 5% interest. after 18 months, she paid her friend the principal plus $45. what was the original amount she borrowed?
1) You're traveling to Spain this
summer. You'll have $200 to spend on
memorabilia items. How much euros
do you have to spend on memorabilia
items? Note: $1=0.84 E
Using the conversion factor we know that we will spend 180.69€ on memorabilia items.
What is the conversion factor?A conversion factor is a number that is used to multiply or divide one set of units into another.
If a conversion is required, it must be done using the correct conversion factor to get an identical value.
A fraction that is equal to "1" is a conversion factor.
The numerator and denominator are the same amounts, but they are expressed in different units. It is used to change a number's unit of measurement.
By multiplying the initial number by the fraction that is equal to "1," you can change the units without changing the original number's value.
So, in the given situation:
$200 = euros?
We know that:
$1 = 0.90€
Then,
$200 = 180.69€
Therefore, using the conversion factor we know that we will spend 180.69€ on memorabilia items.
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5 pts
It's time to remodel your home! You'd like to replace the tile in your kitchen. The room is 12'x20' with
8' ceilings. The tile costs $4.75 per square foot. How much will it cost?
If the room is 12'x20' with 8' ceilings and the tile costs $4.75 per square foot, the total cost is $1140.
To calculate the cost of replacing the tile in the kitchen, we need to first calculate the total area of the floor.
Area of the floor = Length x Width = 12 ft x 20 ft = 240 sq ft
Since we know the cost per square foot of tile, we can now multiply the total area of the floor by the cost per square foot to find the total cost:
Total cost = Area of the floor x Cost per square foot
Total cost = 240 sq ft x $4.75/sq ft
Total cost = $1140
Therefore, it will cost $1140 to replace the tile in the kitchen, assuming there are no additional costs such as labor or materials for removing the old tile.
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Help me Help me Help me
Answer:
F
Step-by-step explanation:
First, find the answer to (180 /5 + 4 x 12 - 10) which is 74.
Next, start with solving the possible answers.
Lastly, once you have solves determine which answer is the same, which is F.
A dance instructor ears $75 for teaching 3 classes. The instructor receives a 10% raise. Enter how much the instructor earns, in dollars, per class after the raise.
cylinder radius2 cm height7 cm
13. What is the shape of the bases?
Answer:
88
Step-by-step explanation:
y=2cm h=7cm
CSA=22/7×4×7
the sevens get crossed out and then 22/1 ×4=88.
Use the functions [tex]f(x)[/tex] and [tex]g(x)[/tex] to find the domain of the indicated functions, and simplify the expressions for the domain in question.
FUNCTIONS:
[tex]f(x) = x^4[/tex]
[tex]g(x)=\sqrt{x+7}[/tex]
1) [tex](f+g)(x)[/tex] = [tex]f(x)+g(x)[/tex]
2) [tex](f-g)(x)[/tex] = [tex]f(x)-g(x)[/tex]
3) [tex](fg)(x)[/tex] -> [tex](f(g(x))[/tex]
POSSIBLE ANSWERS:
A) The domain of all three pairs is -∞ ≤ [tex]x[/tex] ≤ ∞.
B) The domain for #1 and #2 is [tex]x[/tex] ≥ -7 and the domain for #3 is -∞ ≤ [tex]x[/tex] ≤ ∞.
C) The domain of every pair is [tex]x[/tex] ≥ -7.
D) A through C are partially true.
E) None of the above OR the domain is undefined.
B) The domain for #1 and #2 is ≥ -7 and the domain for #3 is -∞ ≤ ≤ ∞.
Explanation:1. [tex](f + g)(x) = f(x) + g(x)[/tex]
The domain of [tex](f + g)(x)[/tex] is the intersection of the domains of [tex]f(x)[/tex] and [tex]g(x)[/tex]. Since [tex]f(x) = x^4[/tex] is defined for all real numbers [tex]\mathbb {R}[/tex], and [tex]g(x) = (x + 7)^(1/2)[/tex] is defined only for [tex]x > = -7[/tex] (since we can't take the square root of a negative number), the domain of [tex](f + g)(x)[/tex] is [tex]x > = -7[/tex].
2. [tex](f - g)(x) = f(x) - g(x)[/tex]
The domain of [tex](f - g)(x)[/tex] is also the intersection of the domains of [tex]f(x)[/tex] and [tex]g(x)[/tex]. Since [tex]f(x) = x^4[/tex] is defined for all real numbers [tex]\mathbb {R}[/tex], and [tex]g(x) = (x + 7)^(1/2)[/tex] is defined only for[tex]x > = -7[/tex], the domain of [tex](f - g)(x)[/tex] is also [tex]x > = -7[/tex].
3. [tex](fg)(x) - > (f(g(x))[/tex]
The domain of [tex]f(g(x))[/tex] is the set of all values of [tex]x[/tex] such that [tex]g(x)[/tex] is in the domain of [tex]f[/tex]. Since the domain of [tex]f[/tex] is all real numbers [tex]\mathbb {R}[/tex], and [tex]g(x) = (x + 7)^(1/2)[/tex] is defined only for [tex]x > = -7[/tex], the domain of [tex]f(g(x))[/tex] is [tex]x > = -7[/tex].
Therefore, the correct answer is option:
B) The domain for 1) and 2) is [tex]> = -7[/tex] and the domain for 3) is -∞ ≤ [tex]x[/tex] ≤ ∞.
A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger.
A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger.
To find the cost per pound of hamburger, we need to divide the total cost by the weight in pounds.
For the 2-pound package
Cost per pound = Total cost / Weight in pounds
Cost per pound = $7.00 / 2 lbs
Cost per pound = $3.50 per pound
For the 3-pound package
Cost per pound = Total cost / Weight in pounds
Cost per pound = $10.50 / 3 lbs
Cost per pound = $3.50 per pound
Therefore, the cost per pound of hamburger is the same for both packages, at $3.50 per pound.
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for your land line phone service monthly bill, you pay 3¢ for each minute you use plus a $10 monthly charge. you budget yourself to spend no more than $40 on your phone bill. what is the range of minutes you can use this month?
Answer:
100 Minutes
Step-by-step explanation:
Step 1: Break it down-
3¢ can be expressed as 0.3
Step 2: Add monthly charge-
Since there is a 10$ monthly charge: 40-10=30
Step 3: Subtract-
Now divide: 30 ÷ 0.3
Step 4: Final Answer-
Hence the amount of minutes per month= 100
The area of this rhombus is 20 square miles. One of its diagonals is 10 miles. What is the length of the missing diagonal?
========================================================
Work Shown:
[tex]d_1 = \text{ one of the diagonals} = 10\\\\d_2 = \text{ the other diagonal}= \text{x}\\\\A = \text{ area of the rhombus} = 20\\\\A = \frac{d_1*d_2}{2}\\\\20 = \frac{10\text{x}}{2}\\\\20*2 = 10\text{x}\\\\40 = 10\text{x}\\\\\text{x} = 40/10\\\\\text{x} = 4[/tex]
The other diagonal is 4 miles long.
How much property tax must be paid
each month when the property tax is
$1,176 a year?
Answer:
$98 a month
Step-by-step explanation:
1,176 divided by 12
A digital thermometer in Olivia's car says the temperature outside is –5°C. Which statement BEST describes the meaning of the value –5 in this context?
The value -5°C represents the temperature outside as measured by the digital thermometer in Olivia's car.
Which statement describes the meaning of the valueIn this context, the value -5 represents the temperature outside in Celsius degrees.
The minus sign indicates that the temperature is below freezing point. The Celsius scale is a temperature scale that uses the freezing point of water (0°C) and the boiling point of water (100°C) at standard atmospheric pressure as its reference points.
Thus, a temperature of -5°C means that it is five degrees Celsius below the freezing point of water.
The negative sign indicates that the temperature is below zero degrees Celsius, which is the freezing point of water.
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I need help please!!!
Answer:
a. Plot the points on the graphing calculator, then generate a logarithmic regression equation.
y = 34.17860108 - 5.682632245ln(x)
b. Setting this equation equal to 10, we have x = 70.44 mph
c. If x = 75 mph, then y = 9.64.
Breck has 22 dimes and nickels. The total value of the coins is $1.45.
How many dimes and how many nickels does Breck have?
Answer:
11 dimes and nickels.
Step-by-step explanation:
22 total coins divided by 2 equals 11 for each.
the number 2 represents the dimes and nickels, 22 for the total amount of coins, and 11 for the answer.
Answer:15 nickels and 7 dimes.
Step-by-step explanation:
What is the slope of the line
Answer:
- 2/1
Step-by-step explanation:
if u look at the graph/line it's going up by 2 then across 1
Use w for the unknown.
"A number split into 3 equal parts"
Answer:
[tex] \frac{w}{3} [/tex]
A surge function is a function of the form
f (t) = Atne(−bt)
The values A, n, and b are the parameters of the function.
This function accurately represents the way a drug interacts in the bloodstream. Studying
this function is essential to doctors and pharmacists because it allows them to administer
dosages of medicine correctly.1
A drug dose is being designed for a 90kg male patient. The amount of the drug in the
patient’s bloodstream after t hours, measured in nanograms per milliliter (ng/ml) is given
by a surge function.
Any positive value of A can be achieved by increasing or decreasing the amount of
medicine given. However, depending on the type of delayed release mechanism selected
there are choices possible for the value of the pair (n,b): The achievable pairs are listed in
the table below.
Delay Type n value b value
Extended 2 0.3
Medium 3 0.5
Rapid 3 0.7
The medical requirements for the treatment are:
• The dose (in ng/ml) may not exceed 100 at any time.
• The dose must fall to be at or below 20 ng/ml by 24 hours.
Within these parameters, the treatment effect will be measured in ng/ml-hours. (1
ng/ml concentration for 1 hour is 1 ng/ml-hour of treatment). The objective is to obtain
the maximum possible treatment effect while ensuring the requirements are met.
1Tarko, Olta (2021) ”Surge Functions and Drug Interactions,” Undergraduate Journal of Mathematical
Modeling: One + Two: Vol. 12: Iss. 1, Article 7
50 Points! Multiple choice algebra question. Photo attached. Thank you!
g°f = -9 So, the correct answer is (B) -9.To find g°f, we need to first apply the function f to -3, and then apply the function g to the result.
what is function ?
In mathematics, a function is a relation between two sets, called the domain and the range, that assigns to each element of the domain exactly one element of the range.
In the given question,
To find g°f, we need to first apply the function f to -3, and then apply the function g to the result.
Step 1: Apply f to -3
f(x) = 3x + 7
f(-3) = 3(-3) + 7 = -2
Step 2: Apply g to the result of f(-3)
g(x) = 2x - 5
g(-2) = 2(-2) - 5 = -9
Therefore, g°f = -9.
So, the correct answer is (B) -9.
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Please help studying for next grade:
192-84÷(71+16)x3
Answer:
189.1034.
Step-by-step explanation:
The result of the expression is approximately 189.1035.
To calculate the expression 192 - 84 ÷ (71 + 16) x 3, follow the order of operations, which is commonly remembered by the acronym PEMDAS:
Parentheses: Perform the operation within the parentheses first.
71 + 16 = 87
Division: Perform the division.
84 ÷ 87 ≈ 0.9655 (rounded to four decimal places)
Multiplication: Perform the multiplication.
0.9655 * 3 ≈ 2.8965 (rounded to four decimal places)
Subtraction: Finally, perform the subtraction.
192 - 2.8965 ≈ 189.1035 (rounded to four decimal places)
The result of the expression is approximately 189.1035.
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Find the maximize z = 4x + y. Subject to the constraints x + y ≤ 50, 3x + y ≤ 90, x,y ≥ 0
The maximum value of z = 4x + y subject to the given constraints is 180, which occurs at x = 45 and y = 0.
How to deal with inequality?To find the maximum value of z = 4x + y subject to the given constraints, we can use linear programming.
Graph the constraints:
First, we will graph the constraints to visualize the feasible region.
The constraint x + y ≤ 50 represents the region below the line x + y = 50:
The constraint 3x + y ≤ 90 represents the region below the line 3x + y = 90:
The feasible region is the shaded region that satisfies both constraints:
Identify the corner points of the feasible region:
The feasible region has four corner points: (0, 0), (0, 50), (30, 20), and (45, 0).
Evaluate z at each corner point:
z(0, 0) = 4(0) + 0 = 0
z(0, 50) = 4(0) + 50 = 50
z(30, 20) = 4(30) + 20 = 140
z(45, 0) = 4(45) + 0 = 180
Compare the values of z at the corner points:
The largest value of z is 180, which occurs at the corner point (45, 0).
Therefore, the maximum value of z = 4x + y subject to the given constraints is 180, which occurs at x = 45 and y = 0.
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The perimeter of a rectangle is 42.4 inches. The length of the rectangle is three times its
width. What is the length of the rectangle?
The length of the rectangle is 15.9 inches. The solution has been obtained by using the arithmetic operations.
What are arithmetic operations?
The four fundamental operations, often known as "arithmetic operations," can be used to explain any real number. Operations like quotient, product, sum, and difference come after operations like division, multiplication, addition, and subtraction in mathematics.
We are given that the perimeter of a rectangle is 42.4 inches and the length is three times its width.
Let the width be 'x'.
So, length will be 3x.
From this, we get
⇒ Perimeter = 2 (length + width)
⇒ 42.4 = 2 (3x + x)
⇒ 42.4 = 2 (4x) (Using addition operation)
⇒ 42.4 = 8x (Using multiplication operation)
⇒ x = 5.3 (Using division operation)
So,
⇒ Length = 3 * 5.3
⇒ Length = 15.9 inches
Hence, the length of the rectangle is 15.9 inches.
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. According to the National Highway Traffic Safety Administration, seat belt using among American
drivers and front-seat passengers passed 90% for the first time in 2016. At that time, 90.1% of
people used seat belts. If four people are selected at random, find the probability that all four
regularly use seat belts.
The probability that all four people regularly use seat belts is approximately 0.656 or 65.6%.
To find the probability that all four people regularly use seat belts, we need to use the multiplication rule of probability which states that the probability of two or more independent events occurring together is the product of their individual probabilities.
The probability that the first person uses a seat belt is 0.901, and assuming that the events of seat belt use by different people are independent, the probability that the second person also uses a seat belt is 0.901.
The probability that the third person uses a seat belt is also 0.901, and the probability that the fourth person uses a seat belt is also 0.901.
Therefore, the probability that all four people regularly use seat belts is:
P(all four use seat belts) = P(person 1 uses seat belt) x P(person 2 uses seat belt) x P(person 3 uses seat belt) x P(person 4 uses seat belt)
P(all four use seat belts) = 0.901 x 0.901 x 0.901 x 0.901
P(all four use seat belts) = 0.656
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