Solve the problem.Instruments on a satellite measure the amount of power generated by the satellite's power supply. The time t and the power P can be modeled by the function P = 50e-t/300, where t is in days and P is in watts. How much power will be available after 378 days? Round to the nearest hundredth.
Fill in the blank(s) with the appropriate word(s).
14.18 watts
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Find the focus and directrix of the parabola.y2 = -4x
A. (1, 0); x = -1 B. (0, -1); y = 1 C. (-1, 0); y = 1 D. (-1, 0); x = 1
Determine whether the given linear equations are parallel, perpendicular, or neither.x- 
y = 4x + 
y = -6
A. parallel B. perpendicular C. neither
First, use front end rounding to estimate each answer. Then find the exact answer.The fully loaded car cost $2357 more than the basic model. If the basic model cost $18,433, what did the fully loaded car cost?
A. estimate: $18,400 + $2300 = $20,700; exact: $20,790 B. estimate: $18,000 + $2000 = $20,000; exact: $20,790 C. estimate: $18,000 + $2300 = $20,300; exact: $20,790 D. estimate: $20,000 + $2000 = $22,000; exact: $20,790
Solve the problem.A politician is planning to spend a total of 36 hours on a campaign swing through the southern states of Arkansas, Louisiana, Mississippi, Alabama, and Georgia. Assume that he spends the same amount of time in Mississippi as in Alabama; half the amount of time in Georgia as in Arkansas; and the same amount of time in Mississippi, Alabama, and Georgia (combined) as in Arkansas and Louisiana (combined). How can he distribute his time among the five states? (Let a be the hours spent in Arkansas, b the hours spent in Louisiana, c the hours spent in Mississippi, d the hours spent in Alabama, and e the hours spent in Georgia. Let e be the parameter.)
A. a = 2e, b = 18 - e, c = 9 - e, d = 9 - e, 0 ? e ? 18 B. a = 2e, b = 18 - 2e, c = 9 - e/2, d = 9 - e/2, 0 ? e ? 9 C. a = 2e, b = 18 - e, c = 9 - e/2, d = 9 - e/2, 0 ? e ? 9 D. a = e, b = 18 - e/2, c = 9 - e/4, d = 9 - e/4, 0 ? e ? 18