Ask question

Ask question

All categories

3 years ago

11

The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr^2. Find the instantaneous rate of change of the surface area

with respect to the radius r at r = 8.

1 answer:

vesna_86 [32]3 years ago

4 0

This is the derivative of S with respect to r, evaluated at r=8.
dS/dr = 8πr
Substituting r=8 into the above gives the answer of 64π.

You might be interested in

4 cups equals how many ounces

DanielleElmas [232]

4 cups equals 33.307 oz

5 0

3 years ago

Read 2 more answers

Joe Summers buys a gas grill and accessories. The cost, including tax, amounts to $850.00. Joe finances the grill over 12 months

Anettt [7]

Answer:

$66.5

Step-by-step explanation:

The cost, including tax, amounts to $850.00.

Down payment =$150

Amount after paying down payment = $850-$150=$700

Interest rate = 14 %

So, interest on $700 = $\frac{14}{100} \times 700 =98$

So, c = $98

Total payment = amount financed + c = 700+98=$798

Now Joe finances the grill over 12 months

So, no. of payments = 12

Now Monthly payment = Total of payments ÷ number of payments

=798 ÷ 12

=$66.5

Hence Joe's monthly payments (principal plus interest) is $ 66.5

7 0

3 years ago

Find the midpoint and distance between each pair of points, with easy explanation and work !! will give brainliest.

rewona [7]

If we have 2 coordinates say: (x1,y1) and (x2,y2)

Then the formula for the midpoint is:

((x1+x2)/2,(y1+y2)/2)

And the formula for the distance is:

Sqrt((x2-x1)^2+(y2-y1)^2)

So here we have (-1,-4) and (-7,4)

The midpoint is:

((-1+-7)/2,(-4+4)/2) = (-8/2,0/2) = (-4,0)

The distance is:

Sqrt((-7- -1)^2+(4- -4)^2)
= sqrt((-6^2)+(8^2))
=sqrt(36+64)
=sqrt(100)
=10

6 0

3 years ago

4х+6y = 40<br> 2х+бу= 26<br><br> How do u do the work for this equation

Dovator [93]

1. Equation: 4x + 6y = 40
Answer:!4x + 6y - 40 = 0
2x + 3y - 20 = 0

2. Equation: 2x + 6y = 26
Answer: 2x + 6y - 26 = 0
x + 3 y - 13 = 0

7 0

3 years ago

Margarita [4]

Answer:

The ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.

Step-by-step explanation:

The quadratic function $h(t) = -4.9t^2 + 22t + 5.5$ represents the height of the ball above the ground, h(t), in meters, with respect to time, t, in seconds.

To find h(3), substitute t = 3 into the function expression:

$h(3)=-4.9\cdot 3^2+22\cdot 3+5.5\\ \\=-4.9\cdot 9+66+5.5\\ \\=-44.1+71.5\\ \\=27.4$

Meaning: the ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.

5 0

3 years ago