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Directions:
These are the Part II, III, and IV long response questions. Have paper
ready to work out the problems, then check your answers by clicking the ANSWER
button. You may use your graphing calculator.
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Part II:
28
Express
with a rational denominator, in simplest radical form. |
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29
Write an
equation of the circle shown in the graph below.
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30 Solve for x:
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31
Find, to
the
nearest minute,
the angle whose measure is 3.45 radians.
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| 32
Matt
places $1,200 in an investment account earning an annual
rate of 6.5%, compounded continuously. Using the formula
V =
Pert,
where V is the value of the account in t
years, P is the principal initially invested,
e is the base of a natural logarithm, and r
is the rate of interest, determine the amount of money,
to the nearest cent, that Matt will have in the
account after 10 years.
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33
If θ is an angle in standard position and
its terminal side passes through
the point (−3,2), find the exact value of csc θ. |
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34
Find the first
four terms of the recursive sequence defined below.
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35
A
committee of 5 members is to be randomly selected from a
group of 9 teachers and 20 students. Determine how
many different committees can be formed if 2 members
must be teachers and 3 members must be students.
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Part III:
36
Solve 2x2
− 12x
+ 4 =
0 by completing the square, expressing
the result
in simplest radical form. |
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37
Solve the
equation 8x3 + 4x2 −
18x − 9 = 0 algebraically for all values
of x.
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38 The
table below shows the results of an experiment involving
the growth
of bacteria.
Write a
power regression equation for this set of data, rounding
all values to
three decimal
places.
Using this equation, predict the
bacteria’s growth, to the
nearest
integer,
after 15 minutes.
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Part IV:
39
Two
forces of 25 newtons and 85 newtons acting on a body
form an angle of 55°.
Find the magnitude of the resultant force, to the
nearest hundredth of a newton.
Find the
measure, to the nearest degree, of the angle
formed between the resultant and the larger force.
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