Provide the proper response.The weight of a body above the surface of the earth is inversely proportional to the square of its distance from the center of the earth. What is the effect on the weight when the distance is multiplied by 4?
A. The weight is divided by 16.
B. The weight is multiplied by 4.
C. The weight is divided by 4.
D. The weight is multiplied by 16.
Answer: A
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Solve the problem.George's sandbox requires 26 cubic feet of sand to fill. How many bags of sand does he need to fill the sandbox if each bag holds cubic feet of sand?
A. 35 bags B. 19 bags C. 34 bags D. 20 bags
Graph the equation. Include the coordinates of any local extreme points and inflection points.y = x1/3(x2 - 112)
A. local minimum:
local maximum:
inflection point: (0, 0)
B. local minimum: (0, 0)
no inflection points
C. local minimum:
local maximum: (0, 0)
inflection points:
D. no extrema
inflection point: (0, 0)
Solve the problem.The population in a particular country is growing at the rate of 2.6% per year. If 2,546,000 people lived there in 1999, how many will there be in the year 2006? Round to the nearest ten-thousand.
A. 3,050,000 people B. 3,670,000 people C. 3,360,000 people D. 2,990,000 people
Productivity and yield of cultivated crops are often reduced by insect pests. The following graph shows the relationship between the yield of a certain crop, f(x), as a function of the density of aphids x. (Aphids are small insects that suck plant juices.) Here, f(x) is measured in kilograms/ 4,000 square meters, and x is measured in hundreds of aphids/bean stem. By computing the slopes of the respective tangent lines, estimate the rate of change of the crop yield with respect to the density of aphids when that density is 200 aphids/bean stem and when it is 800 aphids/bean stem.
?
?
A. - 0.5 when it is 200 aphids/bean stem,- 1.333 when it is 800 aphids/bean stem
B. 00.5 when it is 200 aphids/bean stem,01.333 when it is 800 aphids/bean stem
C. 02 when it is 200 aphids/bean stem,00.75 when it is 800 aphids/bean stem
D. - 2 when it is 200 aphids/bean stem,- 0.75 when it is 800 aphids/bean stem