Write in logarithmic form.10-4 = 0.0001
A. log4. = -4
B. log10 = -4
C. log10 = 0.0001
D. log4-4 = .10
Answer: B
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Solve. If an object is propelled upward from a height of 48 feet at an initial velocity of 80 feet per second, then its height, in feet, after t seconds is given by the equation After how many seconds will the object reach a height of 148 feet?
A. 5 sec B. 1.3 sec C. 2.5 sec D. 10 sec
Use the integral test to determine whether the series converges.
A. diverges B. converges
The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity 0.995 and one focus at the Sun. The length of its major axis is 366.5 AU. [An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find the maximum distance from the comet to the Sun. (The perihelion distance from a planet to the Sun is a(1 - e) and the aphelion distance is a(1 + e).) Find the answer in AU and round to the nearest hundredth.
What will be an ideal response?
Simplify. Assume that all variables represent positive real numbers.3 - 2x
A. x
B. Cannot be simplified
C. 2x
D. (3 - 2x)