Solve the problem.To convert a Fahrenheit temperature to a Celsius temperature, we subtract 32 from the Fahrenheit temperature and then multiply the result by . When the temperature is 68°F, what is the temperature in degrees Celsius? Round to the nearest tenth of a degree.

A. 154.4°C
B. 5.8°C
C. 90.4°C
D. 20.0°C


Answer: D

Mathematics

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Provide an appropriate response.The position of an object in free fall near the surface of the plane where the acceleration due to gravity has a constant magnitude of g (length-units)/sec2 is given by the equation: s = -gt2 + v0t + s0, where s is the height above the earth, v0 is the initial velocity, and s0 is the initial height. Give the initial value problem for this situation. Solve it to check its validity. Remember the positive direction is the upward direction.

A.   = g ,  '(0) = v0, s(0) = s0
B.   = -g
C.   = -gt , s(0) = s0
D.   = -g ,  '(0) = v0, s(0) = s0

Mathematics

Use a graphing utility to find or approximate solutions to the equation. If necessary, round your answers to three decimal places.(x + 10)(x - 4) = -45

A. 4, -55 B. -1, -5 C. -10, 4 D. -41, -10

Mathematics

The circumference of a sphere was measured to be 86 cm with a possible error of 0.8 cm. Use differentials to estimate the maximum error in the calculated volume.

What will be an ideal response?

Mathematics

Solve the problem. Leave your answer in polar form.z = 5(cos 200° + i sin 200°)w = 4(cos 50° + i sin 50°)Find .

A. (cos 40° + i sin 40°)
B. (cos 150° + i sin 150°)
C. (cos 40° + i sin 40°)
D. (cos 150° + i sin 150°)

Mathematics