Find the volume of the pyramid. If necessary, round to the nearest hundredth.

A. 810 ft3
B. 405 ft3
C. 270 ft3
D. 847.8 ft3


Answer: C

Mathematics

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Find the unit tangent vector of the given curve.r(t) = 4t3i - 3t3j + 12t3k

A. T(t) = j - k
B. T(t) = j + k
C. T(t) = j + k
D. T(t) = j + k

Mathematics

For the given function, find the domain and range of both f(x) and f-1(x).

A.

f:domain: {x| x ? -2}
 range: {y| y ? 0}
f-1: domain: {x| x ? 0}
 range: {y| y ? -2}
B.
f:domain: {x| x ? -2}
 range: {y| y ? 0}
f-1: domain: {x| x ? -2}
 range: {y| y ? 0}
C.
f:domain: {x| x ? 0}
 range: {y| y ? -2}
f-1: domain: {x| x ? -2}
 range: {y| y ? 0}
D.
f:domain: {x| x ? 0}
 range: {y| y ? -2}
f-1: domain: {x| x ? 0}
 range: {y| y ? -2}

Mathematics

Give the contrapositive of the statement, “If it is warm, then the car will start.”

What will be an ideal response?

Mathematics

Solve the problem.A thermometer reading  is placed inside a cold storage room with a constant temperature of  If the thermometer reads  in 6 minutes, how long before it reaches  Assume the cooling follows Newton's Law of Cooling:   U = T + (Uo - T)ekt.(Round your answer to the nearest whole minute.)

A. 36 minutes B. -12 minutes C. 13 minutes D. 2 minutes

Mathematics