Answer:
Option 1. Down 2, right pi over 3.
Step-by-step explanation:
In a given function f(x) = -7 sin(3x+π)-2 we have to find the shift horizontally and vertically.
As we know in a sine equation represented as y = a sin(bx+c) +d
Amplitude of the wave = a
Period = 
Horizontal shift = 
Vertical shift = d
From the given sine function we can get the following values
a = 7
period = 
horizontal shift = 
in the right side since it's with positive sign.
Vertical shift = -2 down with 2 ( since it's with negative sign)
Therefore Option 1 is the correct one.
Answer:
.
Implied: 
.
Step-by-step explanation:
Get rid of the denominator by multiplying both sides of this equation with 
:
.
Isolate 
by moving 
to the left-hand side of the equation. That is: add 
to both sides of this equation.
.
By the symmetric property of equalities,
Answer:
Part a) The equation for the volume of the film canister is
Part b) The radius of the film canister is 
Step-by-step explanation:
<u><em>The complete question is</em></u>
A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.
a. Write an equation for the volume of the film canister.
b. What is the radius of the film canister?
Part a) Write an equation for the volume of the film canister
we know that
The volume of a cylinder is equal to
where
r is the radius of the circular base
h is the height of the cylinder
we have
substitute
----> equation for the volume of the film canister
Part b) What is the radius of the film canister?
we have
Simplify
Divide by 8π both sides
square root both sides
Answer:
You times pi by the diameter
first set of answers are
1. 5.1
2 56.5
3 25.1
4 34.5
5 9.4
You times pi by r^2
second set of answers are
1 28.3
2 254.3
3 78.5
4 50.2
5 30.2
