Answer:
h = f(t) = -15cos((π/5)t) +20
Step-by-step explanation:
If you like, you can make a little table of positions:
(t, h) = (0, 5), (5, 35)
Since the wheel is at an extreme position at t=0, a cosine function is an appropriate model:
h = Acos(kt) +C
The amplitude A of the function is half the difference between the t=0 value and the t=5 value:
A = (1/2)(5 -35) = -15
The midline value C is the average of the maximum and minimum:
C = (1/2)(5 + 35) = 20
The factor k satisfies the relation ...
k = 2π/period = 2π/10 = π/5
So, the function can be written as ...
h = f(t) = -15cos((π/5)t) +20
Answer:
<em>x </em>= -5
Step-by-step explanation:
You have to work backwards.
53 + 7 = 60
60 ÷ 12 = 5
Add the negative »»» -5
Answer:
The exponent of y is 1
Step-by-step explanation:
Given
Required
Convert to fractional exponent
Here, we simply apply the following law of indices:
So, the expression becomes:
<em>From the above expression, the exponent of y is 1</em>
Answer:
21 calories per cup
Step-by-step explanation:
4cups↔84calories
1cup ↔less
1/4x84=21calories