WILL GIVE BRAINLIEST QUICK PLEASE Input (x) Output (y)
8 −40
11 −49
14 −58
17 −67
What is the rate of change of the function?

Enter your answer as a number, like this: 42

Answer:

18.09

Step-by-step explanation:2.4x2.4, then x3.14  

Answer:

answers below

Step-by-step explanation:

If you are trying to find the area the answers are:

Earth= 289.52918

Saturn=6,532.5021

The formula for area for a sphere is:

4 x pie x r2

If you are trying to find the volume the answers are:

Earth=57.90584

Saturn=46,647.01596

The formula for volume for a sphere is:

4/3 x pie x r3

Also the radius (r) is half of the diameter, so you divide the diameter by 2.

The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

We have,

To find the derivative of the function \(f(w) = 2/(w^2 - 4)^5\), we can use the chain rule and the power rule for differentiation.

Let's go through the steps:

First, rewrite the function as \(f(w) = 2(w^2 - 4)^{-5}.\)

Now, let's differentiate f(w) with respect to w:

\(f'(w) = d/dw~ [2(w^2 - 4)^{-5}]\)

To apply the chain rule, we need to differentiate the outer function and multiply it by the derivative of the inner function.

Using the power rule, the derivative of (w² - 4) with respect to w is 2w.

Applying the chain rule:

\(f'(w) = -10 \times 2(w^2 - 4)^{-6} \times 2w\)

Simplifying further:

\(f'(w) = -40w(w^2 - 4)^{-6}\)

Therefore,

The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

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Answer:

x - 1

Step-by-step explanation:

The graph touches the x-axis at x = 1, its factor would be (x - 1)

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

1/3

Step-by-step explanation:

Answer:

n = 12

Step-by-step explanation:

27 = 15 + n

27 - 15 = n

12 = n

Answer:

n= 12

Step-by-step explanation:

27=15+n

15+n=27

n=27-15

n=12

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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Answer:

This polynomial is either a function like f(x), or it's just =0 and it's solved by a quadratic equation.

Step-by-step explanation:

Let's say it's equal to 0, we can easily divide the whole expression with 3, as obviously 3,24,48 have the same divisor(3), then we are left with:

x²-8x+16=0, then we apply the quadratic equation, and we got only 1 solution and that's x=4

If it is a function f(x), than it will have roots(root of a quadratic function is the x-coordinate where y=0, basically when the parabola intersects the x-axis(y=0), as we'll get that the only root is x=4

The value of the variable 'w' for the given equation 7 ( w + 7 )³ = 7(6³)  is equal to w = -1.

As given in the question,

Given equation is equal to :

7 ( w + 7 )³ = 7(6³)

Divide both the side of the equation by 7 we get,

⇒ 7 ( w + 7 )³ / 7 = 7(6³) /7

⇒( w + 7 )³ = (6³)  

Take cube root both the side of the equation we get,

⇒∛( w + 7 )³ = ∛(6³)  

⇒ w + 7 = 6

Now subtract 7 from both the side of the equation we get,

⇒w + 7 - 7 = 6 - 7

⇒ w = -1

Therefore, the value of the variable 'w' for the given equation is equal to w = -1.

The complete question is:

Solve this equation:

7 ( w + 7 )³ = 7(6³)

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Answer:

\(p=\frac{15}{24}\)

Step-by-step explanation:

Answer:

Wins: 12

Losses: 8

Step-by-step explanation:

60% of 20 is 20 x 0.6 = 12

20 - 12 = 8

Answer:

80.56

Step-by-step explanation:

To find the rectangle area you just multiply its length by its width:

17 * 4 = 68

You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula:  \(\pi*r^2\)

Since the radius (r) is 2 and \(\pi\) is 3.14, you have the following equation:

A = 3.14 * 2² ==>      A = 3.14 * 4   ==>   A = 12.56     (A is Area)

Sum the rectangle's area with the circle's area:

12.56 + 68 = 80.56

And vuoila! there's your answer.

Answer:

5/8

Step-by-step explanation:

Answer:

The car that has a fuel efficiency of 40 mpg consumed 35 gallons, while the car that has a fuel efficiency of 20 mpg consumed 40 gallons.

Step-by-step explanation:

The variable a will represent the fuel consumed by the first car, and the variable b will represent the fuel consumed by the second car.

Set up the formula: a+b=75, which will represent the total gas consumption.

The formula 20a+40b=2200 will help you solve.

To solve, we will first solve for a by changing the formula from a+b=75 to b=75-a. Then you plug in the value of b to the second formula:

20a+40(75-a)=2200

20a+3000-40a=2200

3000-20a=2200

After subtracting 3000 from both sides, you are left with -20a=-800. Multiply both sides by -1 so that both sides are positive:

20a=800

a=40

Now that we know that the car with a 20 mpg fuel efficiency consumed 40 gallons that week, we can subtract 40 from 75, leaving us with 35 being the amount of gallons consumed by the car with a 40 mpg efficiency.

sinθ = t/o

cosθ = m/o

tanθ = t/m

cscθ = o/t

secθ = o/m

cotθ = m/t

Answer:

8

Step-by-step explanation:

40 x 0.20

= 8

The angle of the T in the ΔRST is 100° and the value of p is 11.

Define Triangle.

A triangle is a polygon that consists of three sides and three vertices. The fact that the interior angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. This characteristic is known as the angle sum property of a triangle.

i.e., In a give ΔABC, ∠A + ∠B + ∠C = 180°.

Given:

∠R = 37°; ∠S = 43°; ∠T = 10p-10°

Let's take ∠T = x

In ΔRST,

∠R + ∠S + ∠T = 180°

37 + 43 + x =  180°

x = 180 - 80 ⇒ 100

∴ ∠T = 100°

To find the value of p,

 ∠T = 100

10p - 10 = 100

10p = 110 ⇒ 11

∴ p = 11

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The point charges placed 0.500 m apart are 10.4 nC and 43.9 nC. Then, the electric field halfway between these charges will be -4824 N/C.

The physical field that surrounds particles with an electrical charge is called an electric field. All other charged particles in the field are affected by it, either being attracted to it or being repelled by it.

The electric field because of a point charge q is written as \(E=\frac{kq}{r^2}\)

Positive point charges cause the electric field to point away from the point, whereas negative point charges cause the electric field to point in the direction of the point. Then, the electric field of the midpoint p in the diagram is written as,

\(\begin{aligned}E_p&=\mathrm{\frac{k(10.4\;nC)}{(0.25\;m)^2}-\frac{k(43.9\;nC)}{(0.25\;m)^2}}\\&=\mathrm{\frac{k(10.4-43.9)\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{\frac{9\times 10^9\;Nm^2/C^2\times 33.5\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{4824\;N/C}\end{aligned}\)

The required answer is -4824 N/C.

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Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

Step-by-step explanation:

 4x1−3x2≤15 5x1+2x2≤25 = 40\

−2x1+5x2≤33 + 40= 94

5x1+x2≤7 x1​,+94 = 108

Answer:

293 seconds

Step-by-step explanation:

60*4=240

240+53=293

To find the partition, we have to use the following formulas.

Where a = 2 and b = 3. Let's replace the following coordinates.

Answer:

-15

Step-by-step explanation:

The solution of expression for x = - 4 is,

⇒ - 15

We have to given that,

An expression is,

⇒ 2x - 7

Now, We can simplify the expression for x = - 4 as,

An expression is,

⇒ 2x - 7

Plug x = - 4;

⇒ 2 × - 4 - 7

⇒ - 8 - 7

⇒ - 15

Thus, The solution of expression for x = - 4 is,

⇒ - 15

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And , the Y's variance is \(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)To find the mode of Y, we need to find the value of y that maximizes the joint probability density function\(f_X, Y(x,y).\)

To do this, we can fix x to be a particular value and then find the value of y that maximizes \(f_X, Y(x,y).\)

For any fixed x between 0 and 2, the function\(f_X, Y(x,y)\) is maximized at y = 1, since this is the only value of y that depends on x and maximizes the function\(cx^2y.\) Therefore, the mode of Y is 1.

To find the value of c that makes this a valid probability density function, we need to ensure that the integral of \(f_X, Y(x,y)\)over the entire sky-plane is equal to 1. We can set up the integral as follows:

integral from 0 to 2 of (integral from 0 to 2 of cx^2y dy) dx

= integral from 0 to \(2 of [c*x^2/2 * y^2]\)evaluated from 0 to 2 dx

= integral from 0 to 2 of \(c*x^2 x2d\)

= [2c/3 * x^3] evaluated from 0 to 2

= (16c/3)

For this to equal 1, we must have c = 3/16. Therefore, the valid probability density function is:

f_X,Y(x,y) = { (3/16)x^2y, 0 <= x <= 2, 0 <= y <= 2; 0, otherwise }

To find the expected value of Y, we need to integrate Y times the joint probability density function f_X, Y(x,y) over the entire xy-plane:

E[Y] = integral from 0 to 2 of (integral from 0 to 2 of y*f_X, Y(x,y) dy) dx

= integral from 0 to 2 of \([(3/16)*x^2/2 * y^2]\) evaluated from 0 to 2 dx

= integral from 0 to 2 of (3/16)*x^2 dx

= [3/16 * x^3/3] evaluated from 0 to 2

= 1

Therefore, the expected value of Y is 1.

To find the variance of Y, we first need to find the second moment of Y by integrating Y^2 times the joint probability density function f_X, Y(x,y) over the entire xy-plane:

E[Y^2] = integral from 0 to 2 of (integral from 0 to 2 of y^2*f_X, Y(x, y) dy) dx

= integral from \(0 to 2 of [(3/16)*x^2/3 * y^3]\) evaluated from 0 to 2 dx

= integral from \(0 to 2 of (3/8)*x^2 dx\)

= \([3/8 * x^3/3]\) evaluated from 0 to 2

= 2

And , the Y's variance is

\(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The number 9 does not belong to the set g, so it does not get circled. The number 9 belongs to the set A, so it should be circled.

The number 9 does not belong to the set g, so it does not get circled. The number 9 belongs to the set A, so it should be circled.

g = {2, 4, 6, 8}

9

A: A

The number 9 does not belong to the set g, so it does not get circled. The number 9 belongs to the set A, so it should be circled.

The number 9 does not belong to the set g, which consists of the numbers 2, 4, 6, and 8. Instead, the number 9 belongs to the set A, so the symbol should be circled to indicate this. The set A includes all the numbers from 1 to 10, so the number 9 is included. This means that the circle should be placed around the symbol for set A to indicate that 9 belongs to this set.

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Answer:

9.8 sq. in.

Step-by-step explanation:

A = πr²

Diameter: 10 inches

Radius: 5 inches

A = π · 5²

A = π · 25

A = 78.54

Section 4 is about one eighth of the circle.

78.54 ÷ 8

9.8175

9.8175 ≈ 9.8

Answer:

100%-39%=61% which is 0.61

Step-by-step explanation: