Answer:
10
Step-by-step explanation:
Replace X with 5
The new equation should be 8×5 divided by 4
Then you would multiply 8×5, which is 40
Now, divided 40 by 4, which is 10.
Therefore 8×5 divided by 4 is 10.
SORRY IF THIS DIDN'T MAKE SENSE!
Which of the following is equivalent to the quantity two thirds end quantity to the power of 2 times x?
the quantity four thirds end quantity to the power of x
the quantity four sixths end quantity to the power of x
the quantity four ninths end quantity to the power of x
the quantity three halves end quantity to the power of x
The equivalent expressions is solved to give the quantity four ninths end quantity to the power of x. Option C
What is an algebraic expression?An algebraic expression can be described as an expression that is made up of terms, factors, coefficient, variables and constants.
These expressions are also composed of mathematical operations.
Also note that index forms are mathematical forms used to represent numbers too large or too small.
From the information given, we have that;
(2/3)²⁽ˣ⁾
expand the bracket, we get;
(2/3)²ˣ
Find the square of both the numerator and denominator, we get;
(4/9)ˣ
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Which of the following describes the graph shown?
The piecewise function graphed is defined as follows:
C)
y = 1/2x + 2, x ≤ -1.y = 1/2x² - 1, x > -1.What is a piecewise function?A piecewise function is a function that is defined by multiple equations, each of which applies to a specific interval or set of inputs. The equations are pieced together to form a single function that describes the behavior of the function over its entire domain.
The intervals for this problem are given as follows:
x ≤ -1.x > 1.For the first interval, we have a linear function with a slope of 1/2 and an intercept of 2, hence:
y = 1/2x + 2, x ≤ -1.
For the second interval, we have a quadratic function with a vertex of -1, hence:
y = 1/2x² - 1, x > -1.
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From a standard deck of 52 cards, in how many ways can 7 cards be drawn?
there are 133,784,560 ways to draw 7 cards from a standard deck of 52 cards.
How to solve the question?
The number of ways to draw 7 cards from a standard deck of 52 cards can be calculated using the combination formula, which is:
C(52, 7) = 52! / (7! * (52-7)!)
where "!" represents the factorial function.
To simplify this expression, we can use the property that n! / k! = n * (n-1) * (n-2) * ... * (n-k+1) for positive integers n and k such that k ≤ n.
Using this property, we can rewrite the above expression as:
C(52, 7) = (52 * 51 * 50 * 49 * 48 * 47 * 46) / (7 * 6 * 5 * 4 * 3 * 2 * 1)
Simplifying this expression, we get:
C(52, 7) = 133,784,560
Therefore, there are 133,784,560 ways to draw 7 cards from a standard deck of 52 cards.
To understand why this is the case, we can think of each draw as a separate event with no replacement. The first card can be drawn in 52 ways, the second card can be drawn in 51 ways (since one card has already been drawn), the third card can be drawn in 50 ways (since two cards have already been drawn), and so on. Therefore, the total number of ways to draw 7 cards is the product of the number of ways to draw each individual card, which is 52 * 51 * 50 * 49 * 48 * 47 * 46. However, since the order in which the cards are drawn does not matter, we need to divide by the number of ways to arrange 7 cards, which is 7 * 6 * 5 * 4 * 3 * 2 * 1 (i.e., 7 factorial). This gives us the final answer of 133,784,560.
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Twice the difference of a number and three is the sum of that number and four
Answer:
Step-by-step explanation:
Answer:
-20
Step-by-step explanation:
We can set up an equations with the conditions we are given. Let's use x for the missing number.
2(x-4)=3(x+4)
2x-8=3x+12
-20=xWe can set up an equations with the conditions we are given. Let's use x for the missing number.
2(x-4)=3(x+4)
2x-8=3x+12
-20=x
If the width of a rectangle with perimeter P is 6 units, what is its length?
If the width of a rectangle with perimeter P is 6 units, its length would be equal to L = P/2 - 6.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(L + 6)
P = 2L + 12
P - 12 = 2L
L = (P - 12)/2
L = P/2 - 6.
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If Hazel buys 0.9 pounds of coffee ice cream and 3.4 pounds of cherry ice cream, how much will she spend?
Answer:
what brand
Step-by-step explanation:
y= 3 ( x − 1 ) ^2 − 8 in standared form
y = 3(x-1)^2 - 8
y = 3(x^2 - 2x + 1) - 8 [Using the identity (a-b)^2 = a^2 - 2ab + b^2]
y = 3x^2 - 6x + 3 - 8 [Distributing the 3]
y = 3x^2 - 6x - 5 [Simplifying]
*IG:whis.sama_ent
Answer:
y=3x^(2)-6x-5
[tex]y=3x^2 -6x-5[/tex]
hope this helps ;)
Jared also wants to make fruit punch. He has 8 pints each of orange juice, pineapple juice, and cranberry juice. Which of the following is true? A. He does not have enough of each type of juice to make 1 recipe. B. He has enough of each type of juice to make 1 recipe. C. He has enough of each type of juice to make 2 recipes. D. He has enough of each type of juice to make 3 recipes.
We can see here that if Jared wants to make fruit punch and he has 8 pints each of orange juice, pineapple juice, and cranberry juice, we can deduce here that the following is true: B. He has enough of each type of juice to make 1 recipe.
What is a fruit punch?Fruit punch is a non-alcoholic drink that is created by combining different fruit juices. It is a well-liked beverage for parties and other social occasions and is normally served chilled.
Fruit punch's exact ingredients might vary, but typically it consists of a mixture of juices including orange, pineapple, cranberry, and/or grapefruit that have been combined with sugar, water, or carbonated water.
We can see here that in order to make 1 recipe of fruit punch, we need 2 pints of orange juice, 2 pints of pineapple juice, and 1 pint of cranberry juice.
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There are 12 cats and 7 dogs at the humane society A. In how many ways can the first costumer randomly choose a cat?
Answer: C
Step-by-step explanation: C
baseball team 747 for the season this was 9 times the number the number
Hence ,the basketball team scored 83 points in the first game.
What is the basketball?Basketball is a team sport in which two teams, most commonly of five players each, opposing one another on a rectangular court, compete with the primary objective of shooting a basketball through the defender's hoop, while preventing the opposing team from shooting through their own hoop.
What is the team ?A team is a group of individuals (human or non-human) working together to achieve their goal.As defined by Professor Leigh Thompson of the Kellogg School of Management, team is a group of people who are interdependent with respect to information, resources, knowledge and skills and who seek to combine their efforts to achieve a common goal
Let x be the number of points scored in the first game.
According to the question,
747 = 9 x
now 9 divided by both sides,
x = [tex]\frac{747}{9}[/tex]
than we get:
x = 83
Therefore, the basketball team scored 83 points in the first game.
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Complete question is:
A basketball scored 747 points for the season.This was 9 times the number of points they scored in the first game.How many points were scored in the first game.
r=−5sinθ+4θ
Which of the following types of symmetry is demonstrated in the equation above based on the three symmetry tests for polar equations?
θ=π/2
polar axis
pole
none
Answer: Correct answer is pie/2 or A
Step-by-step explanation:
r = -5sinθ + 4θ has symmetry with respect to the line θ = π/2.
To demonstrate this, we can apply the third symmetry test for polar equations:
Symmetry with respect to the line θ = π/2: Replace θ by π - θ and see if the equation remains the same. If it does, the equation has symmetry with respect to the line θ = π/2.
r = -5sin(π/2 - θ) + 4(π/2 - θ) = 5cosθ + 2π - 4θ
r = 5cosθ + 2π - 4θ is the same as the original equation, so there is symmetry with respect to the line θ = π/2.
Therefore, the correct answer is θ = π/2.
r=7/8cosθ+2sinθ
Which of the following gives the Cartesian form of the equation above?
Select the correct answer below:
x2+y2=7/10
y=−1/4x+7/8
y=−4x+7/2
8x2+2y2=7
Answer: 8x^2 + 2y^2 = 7
Step-by-step explanation:
The equation R = 7/8cosθ + 2sinθ can be rewritten in terms of x and y using the conversions x = Rcosθ and y = Rsinθ.
Substituting R = 7/8cosθ + 2sinθ into these equations, we get:
x = (7/8)cosθ cosθ + 2sinθ cosθ
y = (7/8)cosθ sinθ + 2sinθ sinθ
Simplifying these expressions using trigonometric identities, we get:
x = (7/8)cos^2θ + (4/8)sin2θ
y = (7/8)sinθ cosθ + (4/8)sin2θ
Multiplying both sides of the x equation by 8/7 and simplifying, we obtain:
8x^2 + 2y^2 = 7cos^2θ + 8sin^2θ
Using the identity cos^2θ + sin^2θ = 1, we get:
8x^2 + 2y^2 = 7(1)
Therefore, the Cartesian form of the equation is 8x^2 + 2y^2 = 7.
Answer:y=−4x+7/2
Step-by-step explanation:
Multiply each side of the equation by 8cosθ+2sinθ to get 8rcosθ+2rsinθ=7. Using the relationships x=rcosθ and y=rsinθ, the equation becomes 8x+2y=7. Solving this equation for y shows that y=−4x+7/2.
EASY ALGEBRA 2!! THANKS FOR HELPING
a. The exponential model representing the situation is S (t) = 6.26 * [tex]1.04^{t}[/tex]. The number of subscribers in 2016 is 7.32 billion.
b. In the year 2015, the number of cell phone subscribers were about 7 billion.
The solution has been obtained by using the arithmetic operations.
What are arithmetic operations?
Any real number may be explained using the four basic operations, also referred to as "arithmetic operations." In mathematics, operations like division, multiplication, addition, and subtraction come before operations like quotient, product, sum, and difference.
a. Since, during next 5 years there is increase by 4% so, we get the base using the addition operation as:
1 + 4% = 1.04
The exponential model comes out to be
y = 6.26 * [tex]1.04^{t}[/tex]
Now, the number of cell phone subscribers in 2016 is:
y = 6.26 * [tex]1.04^{4}[/tex] (This is because t = 4)
y = 7.32 billion
b. We are given y = 7 billion.
So, we get
⇒ 7 = 6.26 * [tex]1.04^{t}[/tex]
⇒ 1.12 = [tex]1.04^{t}[/tex] (Using the division operation)
⇒ t = 2.8
So, in 2015, the number of cell phone subscribers were about 7 billion.
Hence, the required solutions have been obtained.
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Find the surface area
Round to the nearest tenth
FCATOR EACH POLYNOMIAL. LOOK FOR A GCF FIRST.
3x²-3y²
Answer:
3 (x + y) (x - y)
Step-by-step explanation:
3x²-3y²
GCF is 3
3(x² - y²)
Since both terms are perfect squares, factor using the difference of squares formula, a² − b² = (a+b) (a−b) where a = x and b = y.
So, the answer is 3 (x + y) (x - y)
Use the definition of Ax
to write the vector equation as a matrix equation.
The vector equation written as a matrix equation is enter your response here
.
If the vector is drawn from (0,0) to (5, -1), the outcome vector is drawn.
Describe vector?A mathematical concept known as a vector has both a magnitude and a direction. Physical quantities like force, velocity, and acceleration are represented by it. In the physical sciences, engineering, and computer graphics, vectors are frequently employed. They can also be used to represent abstract concepts like magnitude, directions, and other things.
Here in the question,
(0, 0) is the beginning position. There should be an arrow above each vector name listed below.
Ink a line beginning at (3, -1). A vector has an origin of (0,0) and a destination of (3, -1).
Put a line through points (2,2). The vector B has a start point of (0, 0) and an end point of (2, 2).
These two vectors add up to: a + b = (3-1) + (2,2) = (5,1) when combined.
Whatever order they are in, b + a = (2,2) + (3, -1) = (5,1) regardless.
Either way, the same conclusion is reached.
The terminal point of A + B is at (5, 1).
If the vector is drawn from (0,0) to (5, -1), the outcome vector is drawn.
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pls help thank u i dont no what im doing
Answer:5,4
Step-by-step explanation:
Aaron writes an algebraic expression to represent the product of 14 and the difference of 18 and 3x. what are the factors
Aaron's algebraic expression is:
14 * (18 - 3x)
What is algebraic expression?an algebraic expression is an expression built up from constant algebraic numbers, variables, and the addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number.
This expression represents the product of 14 and the difference of 18 and 3x. The factors of this expression are:
14: This is a constant factor that multiplies the difference of 18 and 3x.
(18 - 3x): This is the distinction of 18 and 3x, which is being duplicated by 14. It is a two-term binomial expression: 18 and -3x. The first term, which has a coefficient of -3, is a variable, while the second term, which has a coefficient of -3, is a constant.
To work on the articulation, we can utilize the distributive property of augmentation to get:
14 * (18 - 3x) = 14*18 - 14*3x = 252 - 42x
In this worked on structure, the elements are as yet 14 and (18 - 3x). However, additional factors of the simplified expression, such as 2 and 21, which are factors of 42 (the coefficient of x), can also be identified.
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4. Which of the following angles is vertical to angle /DEB?
A
C
109°
E
D
B
The angle that is vertical to angle DEB is A.
What is a vertical angle?A vertical angle is an angle formed by two intersecting lines or planes that are perpendicular to each other. Specifically, it is the angle between two straight lines or planes that intersect each other and are perpendicular to the horizontal plane.
The measure of a vertical angle is always the same as the measure of the other vertical angle formed by the same two intersecting lines or planes. This is because vertical angles are always congruent, meaning they have the same size and shape. Vertical angles are commonly used in geometry and trigonometry to solve problems involving angles, lines, and plane.
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A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean
lifetime, μ, of 12 years. To test the company's claim, a competitor has selected 35 of these batteries at random. The mean
lifetime of the sample is 12.5 years. Suppose the population standard deviation of these lifetimes is known to be 3.5 years.
Is there enough evidence to reject the claim that the mean lifetime of the newest model is 12 years? Perform a hypothesis
test, using the 0.10 level of significance.
The conclusion of the given hypothesis is: we FAIL to reject the null hypothesis and conclude that there is not enough evidence to reject the claim that the mean lifetime of the newest model is 12 years
How to carry out Hypothesis Testing?The parameters given are:
Population mean: μ = 12
Sample mean: x' = 12.5
Population standard deviation; σ = 3.5
Sample size: n = 35
Let's define the hypotheses:
Null Hypothesis: H₀: μ = 12
Alternative Hypothesis: Hₐ: μ ≠ 12
Let us find the z-score from the formula:
z = (x' - μ)/(σ/√n)
z = (12.5 - 12)/(3.5/√35)
z = 0.845
The p-value from online p-value from z-score calculator using two tailed hypothesis and a significance level of 0.1 gives:
p-value = 0.398
The p-value is greater than the significance value and we FAIL to reject the null hypothesis and conclude that there is not enough evidence to reject the claim that the mean lifetime of the newest model is 12 years
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how to find the area for a rectangle?
Answer:
Area of a rectangle = Length x Width
Step-by-step explanation:
Length = 25 cm
Width = 8 cm
25 x 8 = 200
So the area of a rectangle = 60 cm^2
M5|L11 Kate wants to buy grass seed to cover her whole lawn, except for the pool. The pool is 7 - m by 2 3 m. Find the area the grass seed needs to cover. LO What's the Area? Solve on paper. Then check your work on Zearn. 4) 5 11 3 4 pool Moro ch
The area the grass seed needs to cover is 7,425 square meters.
What is the total area of Marcos's lawn excluding the pool?To find the total area of the lawn excluding the pool, we first need to calculate the area of the pool. Using the formula for the area of a rectangle, we multiply the length and width of the pool together to get:
= 7.5 m x 3.25 m
= 24.375 square meters
Next, we can find the total area of the lawn by subtracting the area of the pool from the total area of the rectangle formed by the lawn:
= 50 m x 150 m
= 7,500 square meters
So, the area the grass seed needs to cover is:
= 7,500 square meters - 24.375 square meters
= 7,425 square meters.
Full question" Marcos wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover. The dimensions of the lawn are 50 m x 150 m.
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Jenny mixed 4 kg of mixed nuts containing 16% peanuts with 12 kg of mixed nuts containing 40% peanuts. What percent of the new mixture if peanuts?
A. 34%
B. 17%
C. 13%
The new mixture contains 34% peanuts.
How to calculate percent of the new mixture if peanutsUsing a weighted average approach.
Let x be the percentage of peanuts in the new mixture. Then we can set up the following equation:
(0.16)(4) + (0.40)(12) = x(4 + 12)
simplifying the equation, we get:
0.64 + 4.8 = 16x
5.44 = 16x
x = 0.34 or 34%
Therefore, the new mixture contains 34% peanuts.
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Help please!!!!!!
!!!!!
Answer: GL = [tex]\sqrt{61}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem. GL is the hypotenuse.
Given:
a² + b² = c²
Substitue:
AL² + AG = GL²
Find side lengths (count via the coordinate plane given):
6² + 5² = GL²
Square:
36 + 25 = GL²
Add:
61 = GL²
Square root both sides:
[tex]\sqrt{61}[/tex] = GL
I need help with this Regression question!
A quadratic model for the data is y = -0.0076x² + 0.6915x + 14.711.
The fuel economy at 80 mph is 21.39.
How to determine the linear regression equation and correlation coefficient?In this scenario, the speed (x) would be plotted on the x-axis of the scatter plot while the fuel economy (y) would be plotted on the x-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the relationship between the speed (x) and fuel economy (y), a quadratic model for the line of best fit is given by:
y = -0.0076x² + 0.6915x + 14.711
When the speed (x) = 80 mph, the fuel economy (y) is given by;
y = -0.0076(80)² + 0.6915(80) + 14.711
y = 21.39
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A 20 litre solution is 85% paint and 15% thinner. Five litres of thinner is added to this solution.
What percentage of the new solution is PAINT?
Answer: 35% of thinner will be in total after the five litres is added so 85%-25% is 60% Therefore ur answer is 60%
Step-by-step explanation:
Solve for x. I attached the image. Pls help :(
Based on the intersecting chords, the calculated value of x on the circle is 11
Calculating the value of x in the circleThe given shape in the question is a circle
As a general rule, a circle is a shape with all points on its boundary equidistant from a central point called the center
In this case, the center is point W
The sum of angles on the circumference is 360
So, we have
17x - 20 + 75 + 2 * 59 = 360
Evaluating the like terms, we have
17x = 187
Divide by 17
x = 11
Hence. the value of x is 11
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what is the value of x if a shape has sides messuring 131, 122, 125, 148, 107, 126
The value of x unknown for the given shape with given measurements 131°, 122°, 125°, 148°, 107°, 126° is equal to 141°.
The attached figure is seven sided polygon.
Seven sided polygon is called Heptagon.
Sum of all the interior angles of seven sided polygon = 900 degrees
Measurements are,
131°, 122°, 125°, 148°, 107°, 126°
Measurement of seventh angle is unknown.
let the measure of seventh angle be x°
⇒ x° + 131° + 122° + 125° + 148° + 107° + 126° = 900°
⇒ x° + 759° = 900°
⇒ x° = 900° - 759°
⇒ x° = 141°
Therefore, the value of x for the given shape with measurements is equal to 141°.
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The above question is incomplete , the complete question is:
what is the value of x if a shape has sides measuring 131, 122, 125, 148, 107, 126.
Attached figure.
What's the answer to this???????
The x-intercept represents:
"The number of hours the taxi was driven before running out of fuel"
What does the x-intercept represent?In standard notation, the variable x is the independent variable in the horizontal axis, here we can see that in the horizontal axis we are measuring the time (in hours) that the taxi was driving.
Then the x-intercept (the time when y = 0) is the number of hours until the fuel is down to zero, then the correct option is B i guess, but it should be worded as:
"The number of hours the taxi was driven before running out of fuel"
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Please HELPP IM IN URGE
I'll Give BRAINLIEST
The measure of arc angle QT is determined as 142 ⁰.
The measure of m∠STR is determined as 23⁰.
What is the measure of arc angle QT?The measure of angle subtended by the arc QT is calculated by applying the following formula.
Based on the angle of intersecting chord theorem, we will have the following equation.
The measure of m∠STR is calculated as;
m∠STR = ¹/₂( arc SR )
m∠STR = ¹/₂ x 46⁰
m∠STR = 23⁰
The measure of arc QT is calculated as;
m∠QST = ¹/₂( arc QT )
arc QT = 2 (m∠QST)
arc QT = 2 x 71⁰
arc QT = 142⁰
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