A table of values for f, g, f ', and g' is given. x f (x) g (x) f ' (x) g' (x) 1 3 2 4 6 2 1 8 5 7 3 7 2 7 9 (a) if h (x) = f (g (x)), find h' (3). h' (3) = (b) if h (x) = g (f (x)), find h' (2). h' (2) =

Which events are independent? Check all that apply. A) Roll a number cube, and then roll the same number cube again. B) Flip a coin, and then flip the coin a second time. C) Remove a card from a deck, and then remove a second card.

Use a special right triangle to find the tangent of 30∘ Tan 30*=?

Keith is saving money for a car. He has saved the same amount each year for the past three years, and records how much he has at the end if each year. Year 1 = 1500 Year 2=3000 Year 3 = 4500 What is Keith unit rate of change of dollars.

An object is launched from ground level with an initial velocity of 120 meters per second. For how long is the object at or above 500 meters (rounded to the nearest second) ? The equation that models the path of the object is y = - 4.9^t2 + 120t.

Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 mph

The volume, Q, of a sound is inversely proportional to the square of the distance n, in meters, from the source of the sound. A sound is heard at 83 decibels at a distance of 12 meters from its source.

A rental bus company charges $56 a day for a bus as well as charging a one time fee of $15. Write an equation for the cost in dollars, as a fnction of the number of days, x

What is x+1 divided by 1-x^2 such as: x+1/1-x^2

Janie asked all of her classmates about the number of pets they have in their household. Her findings are shown in the table. A 6-column table with 4 rows. The first column has no label with entries boys, girls, total.

Simple interest = P * r * t Joe borrowed $900 from Sam for six months. How much will Sam earn if he charges Joe a simple interest rate of 4 percent?