
Step-by-step explanation:
We start by applying the Pythagorean theorem to the ladder, with its length L as the hypotenuse:

where x is the vertical distance from the top of the ladder to the ground and y is the horizontal distance from the bottom of the ladder to the wall. Taking the derivative of the above expression with respect to time, we get

Solving for dx/dt, we get

We know that

when x = 6 ft. So the rate at which the top of the ladder is going down is


The negative sign means that the distance x is decreasing as y is increasing.
For P(t) = 920*1.06^(2t), the current population is 920, the percentage growth rate is 6% semiannually, and the population in 4 years will be 920*1.06^8 = 1466.
Selection B is appropriate.
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The 2 in the exponent means the growth factor 1.06 is applied twice for each increment of t, that is, twice in 1 year (semiannually).
Answer:
39
Step-by-step explanation:
-10(1)+6(5)-1
10+6(5)-1
10+30-1
40-1
=39
Answer:
TYSM!! Have a awesome day
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Step-by-step explanation: