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Practice Exam Answers

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What is the sum of this series? the sum from n is equal to 1 to infinity of 2 thirds

A
cap s is equal to 8 ninths
B
cap s is equal to 8 thirds
C
cap s is equal to 4 thirds
D
cap s is equal to 4 ninths
22
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Eliminate the parameter in the equations x is equal to t raised to the 1 third power and y is equal to t minus 4 How can the rectangular equation be described?

A
linear
B
quartic
C
quadratic
D
cubic
23

Deanna is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by x squared is equal to 12 y , where x and y are measured in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

A
open paren negative 3 comma 0 close paren
B
open paren 0 comma 4 close paren
C
open paren 0 comma 3 close paren
D
open paren 0 comma negative 3 close paren
24

A plane flies 35 km in the direction cap n 30 degrees cap w , then flies 60 km in the direction cap n 60 degrees cap e How far is the plane from its original location?

A
29 point 6 4 km
B
69 point 4 6 km
C
58 point 2 1 km
D
93 point 6 6 km
25

Which expression is equivalent to 1 over sine of 2 x minus cosine of 2 x over sine of 2 x ?

A
negative 1 over cosine of x
B
negative tangent times x
C
tangent of x
D
1 over cosine of x
26

Which equation represents the polar form of x squared plus open paren y plus 4 close paren squared is equal to 16 ?

A
r is equal to 8 sine theta
B
r is equal to negative 8 cosine theta
C
r is equal to 8 cosine theta
D
r is equal to negative 8 sine theta
27

Which rule defines cap s sub n for a_n=5⁢((3)/(4))^n ?

A
cap s sub n is equal to 15 times open paren 1 minus 3 fourths to the n th power close paren
B
cap s sub n is equal to 15 times 3 fourths to the n th power
C
cap s sub n is equal to 5 times open paren 1 minus 3 fourths to the n th power close paren
D
cap s sub n is equal to 5 times 3 fourths to the n th power
28

Graph the fraction with numerator open paren x minus 5 close paren squared and denominator 25 minus the fraction with numerator open paren y plus 3 close paren squared and denominator 36 is equal to 1

A
Image with description On a coordinate plane, an Ellipse has center (5, negative 3) and goes through (10, negative 3), (5, negative 9), (0, negative 3), and (5, 3).
B
Image with description On a coordinate plane, one part of a conic graph goes through (negative 11, 8), has a vertex at (negative 10, 3), and goes through (negative 11, negative 1). The other part goes through (1, 7) has a vertex at (0, 3), and goes through (1, negative 1).
C
Image with description On a coordinate plane, one part of a conic graph goes through (negative 1, 1), has a vertex at (0, negative 3), and goes through (negative 1, negative 7).
D
Image with description On a coordinate plane, an Ellipse has center (5, 3) and goes through (negative 5, 9), (0, 3), (5, negative 3), and (negative 10, 3).
29

A company produces circular drink coasters. The equation x squared plus y squared is equal to 18 point 0 6 2 5 , with units in inches, represents the size of a coaster. Each coaster is cut from a square piece of cardboard. What is the minimum possible area of each cardboard piece?

A
4 point 2 5 in squared
B
72 point 2 5 in squared
C
8 point 5 in squared
D
18 point 0 6 2 5 in squared
30

Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST ? Round to the nearest square inch. Heron’s formula: Area is equal to square root of s open paren s minus A close paren open paren s minus b close paren open paren s minus c close paren end root

A
37 square inches
B
60 square inches
C
95 square inches
D
19 square inches
31

What is the modulus of z ?

A
square root of 10
B
2 square root of 2
C
2
D
3
32

Which statements about the hyperbola are true? Choose three correct answers.

A
There is an asymptote with a slope of 4 thirds .
B
The center is open paren 0 comma negative 1 close paren .
C
There is a vertex at open paren negative 4 comma 0 close paren .
D
There is a directrix 9 fifths units from the center.
E
There is a focus at open paren 0 comma 4 close paren .
33

Eliminate the parameter in the equations x is equal to t raised to the 1 third power and y is equal to t minus 4 How can the rectangular equation be described?

A
linear
B
quartic
C
cubic
D
quadratic
34

The first term of a geometric sequence is negative 2 and the common ratio is negative 1 fourth What are the next three terms of the sequence?

A
negative 1 half comma negative 1 eighth comma negative 1 over 32
B
1 half comma 1 eighth comma 1 over 32
C
1 half comma negative 1 eighth comma 1 over 32
D
negative 1 half comma 1 eighth comma negative 1 over 32
35

Convert 9 x squared plus 4 y squared minus 54 x minus 8 y minus 59 is equal to 0 into standard form.

A
the fraction with numerator open paren x plus 3 close paren squared and denominator 4 plus the fraction with numerator open paren y plus 1 close paren and denominator 9 is equal to 1
B
the fraction with numerator open paren x plus 3 close paren squared and denominator 16 plus the fraction with numerator open paren y plus 1 close paren squared and denominator 36 is equal to 1
C
the fraction with numerator open paren x minus 3 close paren squared and denominator 4 plus the fraction with numerator open paren y minus 1 close paren and denominator 9 is equal to 1
D
the fraction with numerator open paren x minus 3 close paren squared and denominator 16 plus the fraction with numerator open paren y minus 1 close paren squared and denominator 36 is equal to 1

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