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Annette [7]
3 years ago
9

Find the radius of a sphere with a surface area of $4\pi$ square feet.

Mathematics
1 answer:
nataly862011 [7]3 years ago
6 0

Answer:

r = 1 feet

Step-by-step explanation:

Given that,

The surface area of the sphere, A = 4π feet²

We need to find the radius of the sphere.

The formula for the surface area of the sphere is given by :

A=4\pi r^2

Where

r is the radius of the sphere

Put all the values,

4\pi = 4\pi \times r^2\\\\r=1

So, the radius of the sphere is equal to 1 feet.

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Help me please !! The picture is attached
nydimaria [60]

Answer:

  • x+3
  • 5

Step-by-step explanation:

On the interval [-3, -1), the function is a line with a slope of +1 and an x-intercept of -3. It can be described by ...

  f(x) = x +3

__

On the interval [-1, 1] the function is a constant. It can be described by ...

  f(x) = 5

6 0
3 years ago
If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price
Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

P = 170 - Q

The Marginal cost is given by

MC = 52

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2

The Marginal revenue is the derivative of the Total revenue,

MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\

Assuming that the monopolist maximizes profits,

MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59

Therefore, the quantity is 59 units.

The price of each good is

P = 170 - Q \\\\P = 170 - 59 \\\\P = 111

Therefore, the price is $111.

3 0
4 years ago
(5a+6)+(7a+8)<br> answer- <br> now-<br> please-
ddd [48]

Answer:

12a+14

you can just combine the numbers, hope this helped!

Step-by-step explanation:

4 0
3 years ago
Find f(3). <br><br>A. f(3)=6<br><br>B. f(3)=-6<br><br>C. f(3)=0<br><br>D. f(3) is undefined.
forsale [732]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Find value of X? Round answer to nearest tenth.
ohaa [14]

Answer: x = 4.6

Step-by-step explanation:

From the diagram opposite is 4

Adjacent is x

@ = 41 degrees.

Solve from SOH CAH TOA

From here the one that has opposite and adjacent is TOA which is;

[email protected] = opposite/ adjacent

[email protected] = 4/x

x = 4/[email protected]

x = 4/tan 41

x = 4/0.869

x = 4.6

6 0
3 years ago
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