Solve the problem.The distance an object is from the ground after being tossed from a hot air balloon 830 feet in the air is a function of time:  where y is height and t is the amount of time the object has been in the air. Predict the height of the object after 5.5 seconds. Round to the nearest hundredth.

A. 311.08 ft
B. 0.00 ft
C. 374.88 ft
D. 773.35 ft


Answer: C

Mathematics

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Evaluate the integral by using a substitution prior to integration by parts.

A. x cos (ln x) + sin (ln x)+ C
B. [cos (ln x) + sin (ln x)] + C
C. [cos (ln x) - sin (ln x)] + C
D. x[cos (ln x) + sin (ln x)] + C

Mathematics

First, create a scatter plot for the data in the table. Then, use the shape of the scatter plot given to determine if the data are best modeled by a linear function, an exponential function, a logarithmic function, or a quadratic function.

A.

linear function
B.

logarithmic function
C.

exponential function
D.

quadratic function

Mathematics

Use the Remainder Theorem to find the remainder.f(x) = x4 + 625 is divided by x - 5

A. - 125 B. 1250 C. 625 D. 125

Mathematics

Factor using the formula for the sum or difference of two cubes.x3 + 125

A. (x - 5)(x2 + 5x + 25) B. (x + 5)(x2 - 5x + 25) C. (x + 5)(x2 + 25) D. prime

Mathematics