Answer: is 75%
Step-by-step explanation:
Because you have to make sure you count each square then
Answer:
Step-by-step explanation:
Tangent function:
The tangent function is:
Horizontally compressed by a factor of 1/2
Horizontally compressing by a factor of 1/2 is multiplying by 1/2. So
Reflected over the x-axis.
Reflecting a function over the x-axis is the same as multiplying it by -1. Then g is given by:
Answer:
x = 5
Step-by-step explanation:
Given
2x - 2 + 5 = 13, that is
2x + 3 = 13 ( subtract 3 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
1. Find all of the factors for 40.
2. Find the factors of 60.
3. You should come up with a common factor which is a common number listed for both 40 and 60.
Answer:
V = 91π / 6
Step-by-step explanation:
When we revolve the region about y = 2, we get a cylindrical shape on its side. If we slice the shape into concentric shells, then each shell will have a radius of 2 − y, a thickness of dy, and a length of 7 − x. The volume of the shell is:
dV = 2π r h t
dV = 2π (2 − y) (7 − x) dy
x = 7y², so:
dV = 2π (2 − y) (7 − 7y²) dy
dV = 14π (2 − y) (1 − y²) dy
dV = 14π (2 − 2y² − y + y³) dy
The total volume is the sum of all the shells from y=0 to y=1.
V = ∫ dV
V = ∫₀¹ 14π (2 − 2y² − y + y³) dy
V = 14π (2y − ⅔ y³ − ½ y² + ¼ y⁴) |₀¹
V = 14π (2 − ⅔ − ½ + ¼)
V = 91π / 6