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Answer:



Step-by-step explanation:

The rate of change of the area of circle with respect to radius is: 8π.

The rate at which one quantity changes in relation to another quantity is known as the rate of change of a function.

Now,

Area of a circle having radius (=r) is given by: A = πr²

The rate of change of area of the circle will then be given by:

[tex]\frac{dA}{dr}=\pi \frac{d}{dr}(r^{2})=2\pi(r)[/tex]​

For r = 4, [tex]\frac{dA}{dr}=2\pi(4)=8\pi[/tex]

Hence, the rate of change of area of the circle when the radius is 8π.

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Answer:

3 ins 2 cm

Step-by-step explanation:

Answer:

(8,4)

Step-by-step explanation:

The rule is (x,y) becomes (-y,x)

The given situation is an example of an Observational Study.

In observational studies, the impact of a risk factor, diagnostic test, treatment, or other intervention is observed without an attempt to alter who is or is not exposed to it. There are two categories of observational studies: cohort studies and case control studies.

Cohort study: Any group of people who are connected in some way constitutes a cohort for research purposes. For instance, a birth cohort is made up of all individuals born within a specific period of time. Researchers contrast the outcomes for cohort members who have been exposed to a specific variable with those for cohort members who have not.

Case control study: In this method, researchers choose individuals who already have a health issue (referred to as "cases") and a control group that is similar but free of the issue.

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Answer:

B

Step-by-step explanation:

y - 15 = -3

add 15 to both sides to get:

y=12

The magnitude of his displacement is 77.221952836296 m

In this question,

A baseball player hits a triple and ends up on third base.

A baseball "diamond" is a square, each side of length 25.740650945432 m, with home plate and the three bases on the four corners.

We need find the the magnitude of his displacement.

The magnitude of his displacement is the distance from home plate to the third base.

the distance from home plate to the third base is

= 3 × 25.740650945432

= 77.221952836296 m

Therefore, the magnitude of his displacement is 77.221952836296 m

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The correct relationship between the angles of the two triangles is as follows:

So, in an ABC triangle, A is at ordered pair negative 1, 3, B is at ordered pair 0, 1, and C is at ordered pair negative 3, 0.

Then,

Angle measurement BCA = Angle C prime A prime B measurement.

Therefore, the correct relationship between the angles of the two triangles is as follows:

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Answer:

10. 4x

11. r - 7

Step-by-step explanation:

10.

"a number" refers to any number. Since we don't know the specific number, we use x, a variable, to represent "a number." Then we multiply x by 4.

Answer: 4x

11.

When you decrease a number by 7, you are subtracting 7 from that number.

Answer: r - 7

The number of miles for same rental costs are 300 miles.

Let the number of miles be x.

Firstly calculating the cost of Company a -

Total cost = One day cost + Number of miles × Cost per mile

Total cost = 110 + 0.70x

Calculating the cost of Company b -

Total cost = One day cost + Number of miles × Cost per mile

Total cost = 80 + 0.80x

Now, for the same rental cost, we will equate the two expressions. This will calculate the value of x.

110 + 0.70x = 80 + 0.80x

Rearranging the expression -

110 - 80 = 0.80x - 0.70x

Performing subtraction

30 = 0.10x

Shifting the values on other side of equation

x = 30/0.10

Performing division

x = 300

Hence, the rental cost for both companies will be same for 300 miles.

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Answer: Diego is correct, and X = 145

Step-by-step explanation:

The line that 35* and x* rest on must equal 180*. Elena cannot be right if we assume this, as 35 + 35 = 70. We must then move onto Diego's formula.

[tex]X + 35 = 180[/tex]

[tex]180 - 35 = X[/tex]

[tex]X = 145[/tex]

Solving this, we would subtract 35 from 180, leaving us with 145*. This must be correct as the solution would give us the total we need.

Answer:

the answer is 8/21

Step-by-step explanation:

to be sure that it's right 21 can't be divided by 8 and the two numbers don't have an LCD ( Least Common Denominator )

Answer:

24

Step-by-step explanation:

Equivalent fractions with the LCD

5/8 = 15/24

1/6 = 4/24

Answer:

h = V/B

Step-by-step explanation:

[tex]\sf V \div B = h\\Reverse\\h = V \div B[/tex]

Answer:

D. h = V/B

Step-by-step explanation:

"Solve...for h" means get h all by itself on one side of the equation.

V = Bh

Divide both sides by B.

V/B = h

Turn it around and you can see the answer in the choices. D. h = V/B is the correct answer.

Answer:

Step-b 4.55 g/cmy-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

many solutions

Step-by-step explanation:

15=15

==============================================

Work Shown:

JK + KL = JL

(3x-4) + (5x+6) = 9x-8

(3x+5x) + (-4+6) = 9x-8

8x+2 = 9x-8

8x-9x = -8-2

-x = -10

x = 10

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

Check:

JK + KL = 26 + 56 = 82 = JL

Therefore, the answer is confirmed.

I’m not sure but I think it’s 8 in.; 50.27 in.

Answer:

correct

3x4=12

Step-by-step explanation:

Answer:

B, C, A

Step-by-step explanation:

B, C, A

Answer: x=7

Step-by-step explanation: hope this helps!!!

Answer:

x=7

Step-by-step explanation:

32g = 1.12877oz or 32 grams is equivalent to 1.12877 ounces.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between units of weight: grams and ounces.

From there, we can say that we are asked how many ounces are there in 32 grams.

Converting grams to ounces, we must use the conversion

1 gram = 0.035274 ounces

32 grams = 32 (0.035274 ounces)

32 grams = 1.12877 ounces

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The new coordinates of the image A' will be  (-5, -9).

Here, we are given a point on the cartesian plane- A (-5, 9)

It is reflected along the x axis to form a new point A'

Originally, we can see that the point A will be in the 2nd quadrant as x is negative and y is positive.

Now, when it is reflected across the x axis, the point will shift from the 2nd quadrant to the 3rd quadrant.

In the third quadrant, both x and y values are negative. Thus the coordinates of the reflected point A' will become (-5, -9).

Note that the absolute values of the point will not change when it is reflected. It is only the signs that change.

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[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{2}) ~\hfill AB=\sqrt{(~~ 2- (-1)~~)^2 + (~~ 2- 4~~)^2} \\\\\\ ~\hfill AB=\sqrt{( 3)^2 + ( -2)^2}\implies \boxed{AB=\sqrt{13}} \\\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad C(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1}) ~\hfill BC=\sqrt{(~~ -2- 2~~)^2 + (~~ -1- 2~~)^2}[/tex]

[tex]~\hfill BC=\sqrt{( -4)^2 + ( -3)^2}\implies \boxed{BC=5} \\\\\\ C(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{4}) ~\hfill CA=\sqrt{(~~ -1- (-2)~~)^2 + (~~ 4- (-1)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( 1)^2 + (5)^2}\implies \boxed{CA=\sqrt{26}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Perimeter}{\sqrt{13}~~ + ~~5~~ + ~~\sqrt{26} ~~ \approx ~~ \text{\LARGE 14}}[/tex]

The value of the inverse function f⁻¹(8) is  [tex]\frac{3}{2}[/tex] .

An inverse function in mathematics is a function that "undoes" another function.

To calculate the inverse of the function  f (x) = 2 x + 5 we simply  write the function in the form y = 2x + 5 .

Now we solve the equation for x.

∴ y = 2x + 5

or, 2x = y-5

or, x = (y-5)/2

Hence the inverse of the function is given as:

f⁻¹ (x) = (x - 5 ) / 2

Now we have to find the value of f⁻¹ (8).

f⁻¹ (8) = (8-5) / 2

or, f⁻¹ (8) = 3 / 2

Hence the value of f⁻¹ (8) is 3 / 2 .

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Disclaimer: the complete question is:

If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f(x)=2x+5, what is f-1(8)?

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Answer: B

Step-by-step explanation: On Edge 2022

When we rotate a  Parallelogram PQRS of 90 degrees clockwise about the origin, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.

P(x₁, y₁) ⇒ P'(y₁ , -x₁ )

Q(x₂, y₂) ⇒ Q'(y₂ , -x₂ )

R(x₃, y₃) ⇒ R'(y₃ , -x₃ )

S(x₄, y₄) ⇒ S'(y₄ , -x₄ )

The Greek word "parallelogrammon," which means "bounded by parallel lines," is the source of the English word "parallelogram." Thus, a quadrilateral with parallel lines as its borders is referred to as a parallelogram. The opposing sides of this form are parallel and equal. Each of the three primary varieties of parallelograms—square, rectangle, and rhombus—has distinct characteristics.

A unique variety of quadrilateral made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but it must have opposing sides that are parallel for it to be a parallelogram. If the opposing sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both sets of opposite sides are parallel and equal is referred to as a parallelogram.

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The number shown on the number line could be related to the inexact irrational number √17.

In this problem we find the location of a point on a number line, which is related to an inexact irrational number, that is, an irrational number that is not equivalent to any rational number. The point is between two exact irrational numbers, that is, √16 = 4 and √25 = 5.

There are two options: (i) √17, (ii) √24. √24 is close to 5, but √17 is close to 4. Thus, the number shown on the number line could be related to the inexact irrational number √17.

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Answer:

y = [tex]\frac{1}{2}[/tex] x - 3

Step-by-step explanation:

- 3x + 6y = - 18 ( isolate the term in y by adding 3x to both sides )

6y = 3x - 18 ( divide through by 6 )

y = [tex]\frac{1}{2}[/tex] x - 3