The correct true statement is the swimmer comes back up 9 seconds after the timer was started.
<h3>Maximum height of a function</h3>
The maximum height of a function is the point where the velocity the body is zero.
Given the function that represent the height of the swimmer as h(t)=t^2−12t+27
If the velocity of the function is zero, hence;
h'(t) = 2t - 12
0 = 2t - 12
2t = 12
t = 6secs
Substitute t = 6 into the function as shown:
h(6) = 6^2−12(6)+27
h(6) = 36 - 72 + 27
h(6) = -36 + 27
h(6) = -9 feet
Hence the correct true statement is the swimmer comes back up 9 seconds after the timer was started.
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Answer:
B. 195.5 kg
Step-by-step explanation:
Given
Weight in pounds = 430 pounds
1 kilogram = 2.2 pounds
Required
The weight in kilogram
Let x represents the weight of the humpback's whale's heart in kilogram
Such that;
By Cross multiplication

Divide both sides by 2.2lb





Approximate

Hence, the weight of the heart is 195.5kg
2(2x - 5) = 3x + x - 2x
Distribute the 2.
4x - 10 = 3x + x - 2x
Combine like terms.
4x - 10 = 2x
Subtract 4x from both sides.
-10 = -2x
Divide by -2.
5 = x
x = 5