Solve the problem.Gloria collected 16 fantail and comet goldfish. There were 4 fewer fantails than comets. How many comets did Gloria have?

A. 6 comets
B. 12 comets
C. 7 comets
D. 10 comets


Answer: D

Mathematics

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Express the number in scientific notation.532.15

A. 5.3215 x 103 B. 5.3215 x 102 C. 5.3215 x 10-3 D. 5.3215 x 10-2

Mathematics

Solve the problem.If the deflection (in cm) of a beam is calculated by the expression , where x is the distance (in m) from one end of the beam to the point where the force is applied, then what is the deflection if the force is applied in the center of a 9.24 m beam? (The 1000 and 20 are exact numbers.)

A. 1.68 cm B. 1.677 cm C. -2.59 cm D. -3.04 cm

Mathematics

Find the unit tangent vector T and the principal unit normal vector N. r(t) = (10t sin t + 10cos t)i + (10t cos t - 10 sin t)j  - 10k 

A. T = (-cos t)i  - (sin t)j; N = (sin t)i  + (cos t)j B. T = (cos t)i  - (sin t)j; N = (-sin t)i  - (cos t)j C. T = (-cos t)i  - (sin t)j; N = (sin t)i  - (cos t)j D. T = (cos t)i  + (sin t)j; N = (-sin t)i  + (cos t)j

Mathematics

Use spherical coordinates to find the volume of the indicated region.the region that lies inside the sphere  and outside the cylinder 

A.
B.
C.
D.

Mathematics