Suppose that ( r , θ ) describes the sailing speed, r , in knots, at an angle θ to a wind blowing at 20 knots. You have a list of all ordered pairs ( r , θ ) for integral angles from θ = 0 ∘ to θ = 180 ∘ . Describe a way to present this information so that a serious sailboat racer can visualize sailing speeds at different sailing angles to the wind.
Suppose that ( r , θ ) describes the sailing speed, r , in knots, at an angle θ to a wind blowing at 20 knots. You have a list of all ordered pairs ( r , θ ) for integral angles from θ = 0 ∘ to θ = 180 ∘ . Describe a way to present this information so that a serious sailboat racer can visualize sailing speeds at different sailing angles to the wind.
Solution Summary: The author explains how the data can be represented as a table or graphically to determine the best sailing angle.
Suppose that
(
r
,
θ
)
describes the sailing speed, r, in knots, at an angle
θ
to a wind blowing at 20 knots. You have a list of all ordered pairs
(
r
,
θ
)
for integral angles from
θ
=
0
∘
to
θ
=
180
∘
. Describe a way to present this information so that a serious sailboat racer can visualize sailing speeds at different sailing angles to the wind.
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
Chapter 7 Solutions
MyLab Math with Pearson eText -- Combo Access Card (18-wk) for Algebra & Trigonometry
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