Mathematics, 12.11.2019 04:31, gatorr2010

# Asearchlight rotates at a rate of 3 revolutions per minute. the beam hits a wall located 12 miles away and produces a dot of light that moves horizontally along the wall. how fast (in miles per hour) is this dot moving when the angle θ between the beam and the line through the searchlight perpendicular to the wall is π3? note that dθ/dt=3(2π)=6π.

speed of dot = mph.

note: watch the units! this problem asks for the answer in miles per hour, not in miles per minute!

b. a conical water tank with vertex down has a radius of 12 feet at the top and is 27 feet high. if water flows into the tank at a rate of 10 ft3/min, how fast is the depth of the water increasing when the water is 18 feet deep?

the depth of the water is increasing at ft/min.

c. a street light is at the top of a 13 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 7 ft/sec along a straight path. how fast is the tip of her shadow moving when she is 30 ft from the base of the pole?

Answers: 1

Mathematics, 21.06.2019 13:20, Riplilpeep

Mr. walker gave his class the function f(x) = (x + 3)(x + 5). four students made a claim about the function. each student’s claim is below. jeremiah: the y-intercept is at (15, 0). lindsay: the x-intercepts are at (–3, 0) and (5, 0). stephen: the vertex is at (–4, –1). alexis: the midpoint between the x-intercepts is at (4, 0). which student’s claim about the function is correct?

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Mathematics, 21.06.2019 17:20, mqturner1989Kedie

Select a graph that have an equation with a < 0

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Mathematics, 21.06.2019 19:30, mustafaserang582

How does the size of one celsius degree compare with that of one fahrenheit degree and one kelvin? 1. celsius degrees and kelvins are the same size and fahrenheit degrees are larger. 2. kelvins are larger than celsius degrees, which are larger than fahrenheit degrees. 3. celsius degrees and kelvins are the same size and fahrenheit degrees are smaller. 4. kelvins are smaller than celsius degrees, which are smaller than fahrenheit degrees. 5. the basic temperature intervals are the same on all three scales.

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Mathematics, 21.06.2019 19:40, friendsalwaysbae

Given the sequence 7, 14, 28, 56, which expression shown would give the tenth term? a. 7^10 b. 7·2^10 c. 7·2^9

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Asearchlight rotates at a rate of 3 revolutions per minute. the beam hits a wall located 12 miles aw...

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