Use the properties of radicals to simplify the following expression.
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An electronics company has strict specifications for silicon chips used in computers. The company will only install chips that are within 0.06 centimeters of the specified thickness. If the thickness specification of the chip type is 0.969 cm, find the lower and upper limit for the acceptable range of thickness of the chips.
A. The lower limit is 0.909 cm and the upper is 1.029 cm. B. The lower limit is 0.919 cm and the upper is 1.028 cm. C. The lower limit is 1.01 cm and the upper is 1.028 cm. D. The lower limit is 0.909 cm and the upper is 1.039 cm. E. The lower limit is 0.91 cm and the upper is 1.029 cm.
Solve the problem.The initial value problem models the payoff of a loan. Solve the initial value problem for t ? 0, and determine the first month in which the balance is zero. B'(t) = 0.001B - 200, B(0) = 10,000
A. B = 20,000 + 19,000e0.001t, reaches a balance of zero after approximately 61 months B. B = 20,000,000e0.001 + 2,000,000e0.001t, reaches a balance of zero after approximately 101 months C. B = 20,000 - 19,000e0.001t, reaches a balance of zero after approximately 41 months D. B = 200,000 - 190,000e0.001t, reaches a balance of zero after approximately 51 months
Solve the problem.According to Boyle's law, the relation 
= 
holds for pressures P1 and P2 and volumes V1 and V2 of a gas at a constant temperature. Find V1 if 
and 
If necessary, round to three decimal places.
A. 43.376 m3 B. 0.02 m3 C. 0.088 m3 D. 0.202 m3
Solve. If we neglect air resistance, the polynomial -16t2 + h0 describes the height of a falling object after falling from an initial height h0 for t seconds. A cliff is 1798 feet high. If a coin is dropped from the top of the cliff, what will the height of the coin be after 3 seconds?
A. 1644 ft B. 1688 ft C. 1668 ft D. 1654 ft