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A balloon is leaking air, and the rate of change in volume is proportional to the volume. Let V denote the volume, in liters, of air in the balloon after t seconds, and take -0.03 to be the constant of proportionality.
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A: Write an equation of change satisfied by .
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B: If there are initially 8 liters of air in the balloon, find a formula that gives V as a function of t. Write your answer using the alternative form for an exponential function.
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C: How long will it take for 10% of the initial volume of air to leak from the balloon? Round your answer to two decimal places.
What will be an ideal response?
Solve for x. = -16
A. 7 B. -7 C. -6 D. 6
Solve by the substitution method.0.3x + 0.6y = 5.40.4x - 0.1y = 0.9
A. {(7, 4)} B. ? C. {(x, y)| 0.3x + 0.6y = 5.4} D. {(4, 7)}
Fill in the blanks to rewrite the following statement:
Every real number has an additive inverse. (a) All real numbers __________. (b) For any real number x, there is __________ for x . (c) For all real numbers x, there is real number y such that __________.