Solve 3z divided by 2=9
2 answers:
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Answer:
The Pacific seahorse eats 8 shrimp per day
Step-by-step explanation:
<u><em>The complete question is</em></u>
As a part of its diet, a Pacific seahorse eats about 56 shrimp per week. It eats the same amount each day.
a) How much shrimp does the Pacific seahorse eat per day?
Complete the statement with the unit rate.
The Pacific seahorse eats _____ shrimp per day.
Part a) How much shrimp does the Pacific seahorse eat per day?
Let
x ---> the number of shrimp that the Pacific seahorse eats per day
we know that
The number of shrimp that the Pacific seahorse eats per day, multiplied by the number of days in a week, must be equal to 56 shrimp
so
The linear equation that represent this situation is equal to
solve for x
Divide by 7 both sides
therefore
The Pacific seahorse eats 8 shrimp per day
Answer:
See below for answers and explanations (along with a graph attached)
Step-by-step explanation:
<u>Part A</u>
The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet
<u>Part B</u>
The graph's function would be in the form of where
is the amplitude,
is the period,
is the phase/horizontal shift, and
is the average/midline.
We already know our amplitude of from part A.
Since our period is given to us as 26 seconds, then we can use the equation to find
, which happens to be
.
Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity which shifts the cosine graph
units to the right. This means that
, making our phase shift
, or 6.5 feet to the right
Our average/midline would be as given as the average height by the problem.
Therefore, the function is
<u>Part C</u>
Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).
