Answer:
The surface area of sphere having 2 inches radius is 50.24 inches²
Step-by-step explanation:
Given : radius of sphere = 2 inches
We have to find the surface area of the sphere
Surface area of sphere is given by :

Given radius of sphere is 2 inches
Thus, Surface area of sphere having radius 2 inches is

Solving, we get,


Using
, we get
Thus, the surface area of sphere having 2 inches radius is 50.24 inches²
Answer:
- 65 -3x = 55 -2.5x
- 20 periods
- $5
Step-by-step explanation:
The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...
65 -3x
The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...
55 -2.5x
The equation that can be used to find x that makes the values equal is ...
65 -3x = 55 -2.5x
__
The solution can be found by adding 3x-55 to both sides of this equation.
10 = 0.5x
Multiplying by 2 gives ...
20 = x
After 20 30-day periods. the cards will have the same value.
__
The value after 20 periods is ...
65 -3×20 = 65 -60 = 5
Both cards will have a value of $5 when they have the same value.
For this case we have the following function:

We look for the points of intersection with the x axis, doing y = 0

We look for the points of intersection with the y axis, doing x = 0

We can also observe that the slope is -1.

Answer:
See attached image
I just solved it and I'm pretty sure its only one solution, I took the bottom equation multiplied it by -3 then i canceled out the equations and got 9. So that would make it C.
Answer:
The length of AC = 4 and the length of A'C' = 1 so the scale factor is 1/4.