Question

The world population of a certain species is evaluated at 2.6 × 10^16. By some projections, this population will be 5 times more important in 30 years. Express the population at that time in scientific notation.

Answer 1

The formula p = 15 + 5d/11 describes the pressure of sea water, p, in pounds per square foot, at a depth of d feet below the surface. If a diver was subjected to a pressure of 15 pounds per square foot, to what depth did she descend? At what depth is the pressure 127 pounds per square foot?

Answer 2

To find the population in 30 years, we need to multiply the initial population by 5.
Population in 30 years = 2.6 × 10^16 * 5
= 13 × 10^16
= 1.3 × 10^17
Therefore, the population in 30 years will be 1.3 × 10^17.

Answer 3

To find the depth at which the pressure is 15 pounds per square foot, we can rearrange the formula:
p = 15 + 5d/11
15 = 15 + 5d/11

Subtracting 15 from both sides:
0 = 5d/11

Dividing both sides by 5/11:
d = 0

Therefore, the diver did not descend to any depth since the pressure is already 15 pounds per square foot at the surface.

To find the depth at which the pressure is 127 pounds per square foot, we can rearrange the formula again:
p = 15 + 5d/11
127 = 15 + 5d/11

Subtracting 15 from both sides:
112 = 5d/11

Multiplying both sides by 11/5:
d = 112 * 11/5
d = 246.4

Therefore, the depth at which the pressure is 127 pounds per square foot is 246.4 feet.