Answer: V = 5.22m/s
Step-by-step explanation:
Given that the mass of the particles is proportional to the fifth power of the speed. That is
M = k V^5
Where M = mass and V = speed
K = constant of proportionality
A certain river normally flows at a speed of 3 miles per hour
V = 3 mph
M = unknown
M = k × 3^5
M = 243K
K = M/243 ........(1)
What must its speed be in order to transport particles that are 16 times as massive as usual
M = 16M
Using same formula
I.e M = KV^5
16M = M/243 × V^5
M will cancel out
16 = V^5/243
V^5 = 3888
V = 5.22m/s
Answer:
You Might Be Good At It.
Step-by-step explanation:
Answer:
Translation
Step-by-step explanation:
Answer:
The answer is teh second option 
Step-by-step explanation:
The cosine functions have the following form:

Where A is the amplitude of the wave. The amplitude of a wave is equal to half the distance between its largest peak and its smallest peak.
is the period. The period is the time t that the wave takes to complete a cycle.
k is the vertical displacement of the wave.
In this problem f(t) measures the temperature in degrees Celsius and goes from 20 degrees Celsius to 160 degrees. It is never negative, then
Then we can find its amplitude A.
The period is 8 hours.
Then we can find b.

Then, we know that when t = 0, the wave must be at its minimum value 
Then we find k

So
The function is:
