Answer:
Step-by-step explanation:
The volume of a cylinder is given by 
, where 
is the radius of the cylinder and 
is the height.
What we're given:
- of 3
- of 7
Substituting given values, we get:
, rounded the nearest cubic meter as requested in question.
Answer:
1.25
Step-by-step explanation:
To find the amplitude and period you need to be familiar with the following equation. Also you need to know that the standard cos has a period of
and the midline is a line that runs between the max and min of the y-values of the function.
Equations:f(x) = A cos(Bx +C) + D
f(x) = -4 cos(2x -n) + 3
A = amplitude = |-4| = 4
B = 2
C = phase shift = n = 0
D = vertical shift = midline = 3
Amplitude = 4
Find the period:
Find the midline:We know that the amplitude is 4 so we have a range from -4 to 4. The standard y = cos(x) has its midline at 0 so y = 0. This is also true for y = -4 cos(x). In your equation though, you have a vertical shift of +3 so this changes our midline. With an amplitude of 4, which gives us a range from -4 to 4(our y-values), the shift moves this up by 3 so that means we will have new
y-values and a range of -1 to 7. Now we need to find the midline(
the middle of our y-values) of our new range. We can find this by using the following formula
Midline:y = 3
Note, in the following equations that D = 3 = midliney = A (Bx+C) + D
y = -4 (2x + n) + 3
Also, the picture that is attached is what your equation looks like when graphed.
The answer is y = +8
Explanation:
Since they tell us what x equals (3), let's plug that into the equation
y = (3) + 5
Now, we can just add 3 and 5 together, which we get 8
y = +8
B. The combined length of the two longest feathers is 828 inches.
