Solve the problem.According to Ohm's law, the electric current, in amperes, in a circuit varies directly as the voltage. When 29 volts are applied, the current is 4 amperes. What is the current when 26 volts are applied?

A. 7.3 amperes
B. 59 amperes
C. 188.5 amperes
D. 3.6 amperes


Answer: D

Mathematics

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Solve the problem. Round your answer, if appropriate.As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume that the current image is 7 cm × 5 cm. Find the rate at which the area of the image is changing (dA/df) if the length of the image is changing at 0.7 cm/s and the width of the image is changing at 0.1 cm/s.

A. 8.4 cm2/sec B. 4.2 cm2/sec C. 5.4 cm2/sec D. 10.8 cm2/sec

Mathematics

The oil in a lawn mower needs to be changed every 28 hours. If the mower travels 100 feet in 30 seconds and shuts off when stopped, how many miles will it travel between oil changes?

A) 63.4 mi B) 63.6 mi C) 64.0 mi D) 64,2 mi E) 64.4 mi

Mathematics

The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0.r(t) = ti + (t + t2)k

A. 0
B.
C.
D. ?

Mathematics

Each of four factories manufactures three products in the daily quantities and unit costs given in Figures 1 and 2. Find a suitable matrix product to represent production costs.Figure 1   Production quantitiesFactoryProduct AProduct BProduct CAshtabula172417Boston162322Chicago171721Denver222315Figure 2  Unit production costs  Day ShiftNight ShiftProduct A2.903.10Product B2.402.80Product C4.902.00Round to the nearest tenth if necessary.

What will be an ideal response?

Mathematics