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Mathematics

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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.

? A: Write an equation of change satisfied by . ? 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. ? 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?

Mathematics

Solve for x. = -16

A. 7 B. -7 C. -6 D. 6

Mathematics

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)}

Mathematics

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 __________.

Mathematics