Find the slope of the line containing the given points.(5, -2) and (-8, -7)
A. 3
B. -
C.
D.
Answer: C
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Provide an appropriate response.It took 27 seconds for the temperature to rise from 8°F to 176°F when a thermometer was taken from a freezer and placed in boiling water. Although we do not have detailed knowledge about the rate of temperature increase, we can know for certain that, at some time, the temperature was increasing at a rate of °F/sec. Explain.
What will be an ideal response?
Solve the problem.When water runs out of a hole in a cylindrical container, the height of the water in the container can often be modeled by a quadratic function. Assume that the height of the water in a particular metal can with a small hole can be modeled by h = 0.0005x2 - 0.17x + 8, where x is the time (sec) and h is the height (cm). Use the quadratic formula to estimate the time when the height is 5 cm. Round your answer to the nearest second.
A. 25 sec B. 26 sec C. 19 sec D. 23 sec
The pair of triangles is similar. Find the missing length.
A. 24 B. 6 C. 18 D. 20
Solve the problem.Ken is 6 feet tall and is walking away from a streetlight. The streetlight has its light bulb 14 feet above the ground, and Ken is walking at the rate of 5.3 feet per second. Find a function, d(t), which gives the distance Ken is from the streetlight in terms of time. Find a function, , which gives the length of Ken's shadow in terms of d. Then find
.
A. (S ? d)(t) = 2.92t B. (S ? d)(t) = 3.98t C. (S ? d)(t) = 5.04t D. (S ? d)(t) = 8.96t