We are asked in the problem to determine the graph that represents the reflection of f(x) = 10^x. This function is an exponential function that is also asymptotic to the y axis. Asymptotic means that a function approaches a number at the x or y axis but not necessarily touching it. In this case, the function is asymptotic to y =0. The graph of f(x) = 10^x is attached on this answer. The reflection is simply taking f(-x) as we substitute -x to x. The resuting function is f(x)= 10 ^ -x. We can see from the graphs that they mirror each other at x = 0.
Answer:
D. 9:1
Step-by-step explanation:
The formula for the volume of a cylinder is πr² · h (pi · radius² · height) (use 3.14 for pi).
The two right circular cylinders have the same height. The larger cylinder has a radius that is three times the size of the smaller radius.
4 · 3 = 12
However, in the equation for volume, the radius is squared. Because of this, the larger cylinder is 9 times the size of the smaller cylinder because 3² = 9.
You can check your work by finding the volume of the two cylinders using the volume formula πr² · h:
3.14 · 4² · 5 = 251.2
3.14 · 12² · 5 = 2,260.8
The cylinder with a radius of 12 cm is 9 times the size of the cylinder with a radius of 4 cm.
2.260.8 ÷ 9 = 251.2
Answer:
15 dollars
Step-by-step explanation:
12 inches = 1 ft
so 12 inch by 12 inches is 1 ft * 1 ft
1 ft* 1 ft
1 ft^2
This is smaller than 3 ft^2 so they will get charged for 3 ft^2
3 ft^2 = 3 ft^2 * $5 / ft^2 = 15 dollars
Answer:
your answer is the second option
Step-by-step explanation: