A. f(1)=5 (as defined on the second line, x=1) TRUE because f(1)=5
B. f(5)=5^2=25 (as defined on third line, x>1) FALSE because f(5) ≠ 1
C. f(-2)=2(-2)=-4 (as defined on first line, x<1) FALSE because f(-2) ≠ 4
D. f(2)=2^2=4 (as defined on third line, x>1) TRUE because f(2)=4
Answer:
0.07
Step-by-step explanation:
Just put the value of the percent
40, 90, or 7 over 100
40/100, 90/100, 7/100
This yields
0.4, 0.9, 0.07
Answer:
36
Step-by-step explanation:
since the .77 is larger than .5, you automatically round it up
From there, you simply need algebra and a calculator that works in radians.
Take the inverse cos of both sides to get 2x = arccos(-1)
Then divide both sides by 2 to get x = arccos(-1) / 2
Put that into a calculator and you get π/2. But because your bounds are 0 to 2π, you have to add π your solution to get the solution on the other side of the unit circle, which would be (3π/2).
Now that you have the x value, put (π/2) and (3π/2) into f(x) to get the y coordinate.
f(π/2) = 2(π/2) + sin(2(π/2) = π, which means this solution is just (π/2, π)
f(3π/2 = 2(3π/2) + sin(2(3π/2) = 3π, which means this solution is (3π/2, 3π)
Answer:
The length of the rectangle is 9 inches.
The height of the rectangle is 11 inches.
Step-by-step explanation:
Given : The volume of a rectangular solid can be written as V=LWH, where L is the length of the solid, W is the width, and H is the height. A box of cereal has a width of 2 inches. It’s height is 2 inches longer than it’s length. If the volume of the box is 198 cubic inches.
To find : What are the length and height of the box ?
Solution :
The width of the box is L inches
The width of the box is W=2 inches
The height is 2 inches longer than it’s length i.e H=L+2
The volume of a rectangular solid is 
Reject L=-11 as dimension cannot be negative.
The length of the rectangle is 9 inches.
The height of the rectangle is 11 inches.
