Find the area of the circle/please anyone :)

Answer:

its either counterclockwise or clockwise 90 degree rotation

Step-by-step explanation:

each point of the given figure has to be changed from (x, y) to (y, -x)

If 1 book cost $7, 3 books will cost: 3*$7 = $21. (Multiplying)

The answer is $21.

Answer:

x=-5, 2, 4, -3

Step-by-step explanation:

Factor and you get:

(x−2)(x+3)(x−4)(x+5)

Answer:  the zeros are x = {-5, -3, 2, 4}

Step-by-step explanation:

x⁴ + 2x³ - 25x² - 26x + 120 = 0

Given: x = 2 and x = 4

Use synthetic division to find the reduced polynomial for x = 2 and then x = 4

2 |  1     2     -25     -26     120    

  |  ↓    2        8     -34     -120

     1    4      -17      -60      0  ← remainder

4 |  1    4      -17      -60

  |  ↓   4      32        60

     1    8      15         0  ←  remainder

      1x² + 8x + 15 = 0

      (x + 5) (x + 3) = 0

      x + 5 = 0    x + 3 = 0

        x = -5            x = -3

The zeros are: x = 2, x = 4, x = -5, and x = -3

Answer:

The length of the box is 2×√30 inches long, the width of the box is 2×√(10/3) inches long, while the height of the box is √30 inches long

Step-by-step explanation:

The given parameters are;

The length of the last rectangular prism box = 3 × The width of the box

The area of the available wrapping paper = 240 in.²

Let L represent the length of the rectangular prism box, let W represent the width of the rectangular prism box and let h, represent the height of the rectangular box

Therefore, we have;

L = 3 × W

The surface area of the box, A = 2 × L × W + 2 × L × h + 2 × W × h

Whereby, L = 3 × W, we have;

A = 2 × 3 × W × W + 2 × 3 × W × h + 2 × W × h = 8·h·W + 6·W²

A = 8·h·W + 6·W² = 240

8·h·W + 6·W² = 240

8·h·W = 240 - 6·W²

h = (240 - 6·W²)/(8·W)

The volume,  V = L × W × h

∴ V = 3 × W × W × h = 3 × W² × h

V = 3 × W² × h

∴ V = 3 × W² × (240 - 6·W²)/(8·W) = 3/8 × W × (240 - 6·W²) = 90·W - 9/4·W³

dV/dW = d(90·W - 9/4·W³)/dW = 90 - 27/4·W²

At the maximum point, dV/dW = 0, which gives;

dV/dW = 90 - 27/4·W² = 0 at maximum point

27/4·W² = 90

W² = 4/27 × 90 = 40/3

W = ±√(40/3) = ±2×√(10/3)

Differentiating again and substituting gives;

d²V/dW² = d(90 - 27/4·W²)/dW =  - 27/4·W

Given that when W = 2×√(10/3), d²V/dW² is negative, and when W = -2×√(10/3), d²V/dW² is positive, W = 2×√(10/3) is the local maximum point

Therefor, the dimensions of the box are;

W = 2×√(10/3)

L = 3 × W = 3 × 2×√(10/3)

L = 3 × 2×√(10/3) = 2×√30

L = 2×√30

L = 6 ×√(10/3)

h = (240 - 6·(2×√(10/3))²)/(8·(2×√(10/3))) = √30

h = √30

Therefore, the length of the box is 2×√30 inches long, the width of the box is 2×√(10/3) inches long, while the height of the box is √30 inches long.

The equation that represents the sentence "28 is the quotient of a number and 4" is 28 = n/4.

In the given sentence, "28 is the quotient of a number and 4," we can break down the sentence into mathematical terms. The term "quotient" refers to the result of division, and "a number" can be represented by the variable "n." The divisor is 4.

1) Define the variable.

Let's assign the variable "n" to represent "a number."

2) Write the equation.

Since the sentence states that "28 is the quotient of a number and 4," we can write this as an equation: 28 = n/4.

The equation 28 = n/4 represents the fact that the number 28 is the result of dividing "a number" (n) by 4. The left side of the equation represents 28, and the right side represents "a number" divided by 4.

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I’m pretty sure triangle angle sum theorem, law of cosine, and law of sides

The scale factor is 2.

A scale factor is defined as the ratio of the scale of a given original object to the scale of a new object that is its representation but of a different size (bigger or smaller).

J: (2,4) -- J' (4.8)

K: (1,1) -- K' (2,2)

L: (4,0) -- L' (8,0)

We need to find the scale factor.

Scale factor:

If a figure is dilated by factor   with origin as the center of dilation, then

P(x, y) = P1(kx, ky)

Using this rule, we get

J(2, 4) = P1(2k, 4k)

We have J1(4, 8)

On comparing both sides, we get

2k = 4 or 4k = 8

K = 4/2   or  k = 8/4

K = 2   or k = 2

In both cases, the value of the scale factor is k =2.

Therefore the scale of factor is 2

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It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.

Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.

Therefore, random sampling is crucial in making valid statistical inferences about a population.

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Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

No, his statement is not correct. Brody confused value and magnitude. |–4| = 4, and |+1| = 1. The magnitude of –4 is greater than the magnitude of +1. Stock F had a greater price change.

Step-by-step explanation:

sample response :))

Answer:

k = 6

Step-by-step explanation:

"The product of 12 and k"  means 12*k

"is 84" means = 84

Therefore:  

12k = 84

k = 6

After 5 months the total cost at each health club be the same.

Given that, club A offers membership for a fee of $40 plus a monthly fee of $25.

Let the number of months be x.

Membership fee of club A = 40+25x ------(i)

Club B offers a membership fee of $15 plus a monthly fee of $30.

Membership fee of club B = 15+30x

The total cost at each health club be the same

40+25x = 15+30x

30x-25x=40-15

5x=25

x=25/5

x=5

Therefore, after 5 months the total cost at each health club be the same.

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

You are choosing between two health clubs. Club A offers membership for a fee of $40 plus a monthly fee of $25. Club B offers a membership fee of $15 plus a monthly fee of $30.

Using variables of your choice, set-up an equation for each club’s membership cost. Make sure your variables are defined clearly.

After how many months will the total cost at each health club be the same?

Total savings after 7 weeks : $140

Total savings after w weeks : $(70 + 10w)

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a phrase : Taub is saving up to buy a new bicycle. She already has $70 and can save an additional $10 per week using money from her after school job.

Taub will have a total of -

70 + 7 x 10 = $140

The expression that represents the amount of money Taub would have saved in [w] weeks is -

y = 70 + 10w

Therefore -

Total savings after 7 weeks : $140

Total savings after w weeks : $(70 + 10w)

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Summary: In a regression equation with a slope of b = 4, if mx (the mean of the x-values) is 2 and my (the mean of the y-values) is 10, the y-intercept value for the equation is 2.

In a regression equation of the form y = mx + b, the slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). In this case, the slope is given as b = 4.

To find the y-intercept (b), we can use the formula:

b = my - (m * mx)

Given that mx = 2 and my = 10, we can substitute these values into the formula:

b = 10 - (4 * 2)

Simplifying the expression:

b = 10 - 8

b = 2

Therefore, the y-intercept value for the regression equation is 2. This means that when x = 0, the predicted value of y is 2.

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Answer:

its a on edg

Step-by-step explanation:

i did it

The first option where h(x) the sum of travelling rate of the boy and the side walk is equal to the individual sum of f(x) + g(x).

To determine functions from graphs relate to some integer value of x to some integer value of y and write them as y = kx, where k being a constant.

According to the given question A moving sidewalk travels at a rate defined by the function f(x).

A boy on the sidewalk is walking at a rate defined by the function g(x).

The sum of the functions, h(x), represents the rate he is moving relative to his surroundings.

∴ We can construct an equation that is f(x) + g(x) = h(x) and whichever option satisfying this will be our required functions graph.

Now if we observe the graph in the first option we see that for f(x) line when x = 2, f(x) = 4.

∴ f(x) = 2x.

For g(x) when x = 3 g(x) = 9.

∴ g(x) = 3x.

For h(x) when x = 2 h(x) = 10.

∴ h(x) = 5x.

Now lets see if these graph equates to both RHS and LHS or not in our equation.

h(x) = f(x) + g(x)

5x = 2x + 3x.

5x = 5x.   (satisfied).

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The function rule of a table calculator, you need to examine the given input-output pairs in the table and look for patterns or relationships between the inputs and outputs.

The step-by-step process to determine the function rule:

Identify the pattern: Look for any consistent relationship between the input and output values. Consider how the output changes as the input changes.

Determine the type of relationship: Based on the pattern, determine the type of relationship between the input and output. It could be linear, quadratic, exponential, or some other mathematical relationship.

Write the general function rule: Once you determine the type of relationship, write a general function rule that expresses the output (y) in terms of the input (x) using appropriate mathematical operations and constants.

Test the function rule: Check if the function rule you derived matches the given input-output pairs in the table. Plug in the input values into the function rule and verify if the corresponding outputs match the given outputs in the table.

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$16,200

1) Coletando los datos

Valor presente: 5,000

rate: 9%

Tiempo: 36 meses

2) Escribindo la formula y despues aplicando los datos, tienemos:

Mira que subtraemos de lo Valor Futuro, el Principal. A -P = i

3) Entonces el interés simple és $16,200

The equation of the tangent line to f(x)=ln(x) at x=2 is given by y = 1/2x - ln(2).

To find the formula for the tangent line to f(x)=ln(x) at x=2, we first need to take the derivative of the function:

f'(x) = 1/x

At x=2, the derivative is:

f'(2) = 1/2

The equation of the tangent line at x=2 is given by:

y - f(2) = f'(2)(x - 2)

Substituting the values of f(2) and f'(2) gives:

y - ln(2) = 1/2(x - 2)

Simplifying this equation gives us the equation of the tangent line:

y = 1/2x - ln(2) + ln(2)

Therefore, the equation of the tangent line to f(x)=ln(x) at x=2 is given by y = 1/2x - ln(2).

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Answer:

Add 3x to both sides

Step-by-step explanation:

after you add 3x you get 11=3x+44

next you subtract 44 from each side

you then get -33=3x then you divide by 3 on both sides and your final answer is x= -11

11-3x=44

-11     -11

-3x=33

/-3  /-3

x=-11

hope it helps!

Answer:

432 square feet

Step-by-step explanation:

We know perimeter of rectangle is 2(length + width)

we already know that length is 8 yards

and perimeter is 84 feet

we need to find width first

then

we find area of garden by using formula

area of rectangle = length * width

first we need to convert yards into feet as perimeter is in yards

1 yard = 3 feet

8 yards = 3*8 feet = 24 feet

now we plug value of length and perimeter in formula

perimeter = 2(length + width)

84 = 2(24 + width)

84/2 = 24 + width

=> 42 = 24 + width

=> width = 42 - 24 = 18

Thus, width of garden is 18 feet

now

area of Jordan's garden =  length * width = 24* 18 feet square

area of Jordan's garden = 432 square feet

Answer:

I think the answer is

1760

Answer:

y=-6

Step-by-step explanation:

2(6)+y=6

12+y=6

-12 -12

y=-6

Answer:

-2

Step-by-step explanation:

they are parallel so same slope but different y intercepts

Answer:

5.333 months

Step-by-step explanation:

Company A: 120+30x

Company B: 40+ 45x

120+30x=40+45x

80=15x

80/15=x

5.33333=x

Answer:

22(15)(12) + (1/2)(22)(10)(15) = 5,610 cm^2