For the following exercises, determine the function described and then use it to answer the question. 57. An object dropped from a height of 600 feet hasa height, h ( t ) , in feet after tseconds have elapsed,such that h ( t ) = 600 − 16 t 2 . Express t as a functionof height h , and find the time to reach a height of400feet.
For the following exercises, determine the function described and then use it to answer the question. 57. An object dropped from a height of 600 feet hasa height, h ( t ) , in feet after tseconds have elapsed,such that h ( t ) = 600 − 16 t 2 . Express t as a functionof height h , and find the time to reach a height of400feet.
For the following exercises, determine the function described and then use it to answer the question.
57. An object dropped from a height of 600 feet hasa height,
h
(
t
)
,
in feet after tseconds have elapsed,such that
h
(
t
)
=
600
−
16
t
2
.
Express t as a functionof height h, and find the time to reach a height of400feet.
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
Evaluate the following expression and show your work to support your calculations.
a). 6!
b).
4!
3!0!
7!
c).
5!2!
d). 5!2!
e).
n!
(n - 1)!
Amy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement.
Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater.
The sample space of possible outcomes is listed below. A represents an ace, and K represents a king. Who is correct?
Consider the exponential function f(x) = 12x. Complete the sentences about the key features of the graph.
The domain is all real numbers.
The range is y> 0.
The equation of the asymptote is y = 0
The y-intercept is 1
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