Answer:
Step-by-step explanation:
1104 = 2⁴×3×23
48 = 2⁴×3
1104 ÷ 48 = 23
Answer:

Step-by-step explanation:
To answer this problem, we must bear in mind that the express train travels 3 times faster than the freight train.
If we call F the distance that the freight train travels and we call E at the distance that the express train travels, we must have the distance between them after 15 minutes it must be 30 miles.
So

We also know that:
Since the express train travels 3 times faster than the freight train.
So, like both equations, we have to:

Then
miles in the opposite direction.
This is the distance you traveled in 15 minutes.
Therefore, the speed of the express train (
) is the distance traveled between the time it did

To solve this, you need to isolate/get the variable "a" by itself in the equation:
-8a + 32 = 72 Subtract 32 on both sides
-8a + 32 - 32 = 72 - 32
-8a = 40 Divide -8 on both sides to get "a" by itself

a = -5
PROOF
-8a + 32 = 72 Substitute/plug in -5 into "a" since a = -5
-8(-5) + 32 = 72 (two negative signs cancel each other out and become positive)
40 + 32 = 72
72 = 72
Answer:
The answer is below
Step-by-step explanation:
The function B can be represented by the function:
B = C + Acos(Pt)
a) From the graph of the function, it starts from 30, hence it is a cosine function.
The amplitude (A) = (highest value - lowest value) / 2 = (30 - 10) / 2 = 10
A = 10
b) The function completes an oscillation every 12 months, hence its period (P) = 12
c) The average value = 10/√2
d) The vertical shift (C) is the difference between the highest and lowest value.
Therefore, C = 30 - 10
C = 20
Answer:
6 pushups
Step-by-step explanation: