Practice Exam Answers

35 verified answers3 views
3

For 0 is less than x comma x is less than pi over 2 , which expression is equivalent to the fraction with numerator sine open paren x over 2 close paren and denominator 1 minus cosine of x ?

A
the fraction with numerator 1 and denominator square root of 2 times open paren 1 minus cosine of x close paren end root
B
open paren the fraction with numerator 1 plus cosine of x and denominator square root of 2 times open paren 1 minus cosine of x close paren end root close paren times open paren the fraction with numerator 1 and denominator 1 minus cosine of x close paren
C
the fraction with numerator 1 and denominator square root of 2 times open paren 1 plus cosine of x close paren end root
D
open paren square root of the fraction with numerator 1 plus cosine of x and denominator 2 end root close paren times open paren the fraction with numerator 1 and denominator 1 minus cosine of x close paren
5

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
1 half comma 1 eighth comma 1 over 32
B
negative 1 half comma negative 1 eighth comma negative 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
6

Let w = vector OR where cap o times open paren negative 5 comma 6 close paren and cap r times open paren 4 comma negative 2 close paren What is the component form of 1 fifth bold math font w ?

A
components 1 point 8 comma negative 1 point 6
B
components 0 point 2 comma 0 point 8
C
components 45 comma negative 40
D
components negative 5 comma 20
8

Hugo reflects a vector v across the line y is equal to negative x . Nemo rotates a vector v 180 degrees counterclockwise about the origin. Which of the following vectors would have the same image for Hugo and Nemo?

A
the 2 by 1 column matrix 3 3
B
the 2 by 1 column matrix 3 1
C
the 2 by 1 column matrix row 1 1 row 2 negative 1
D
the 2 by 1 column matrix row 1 negative 2 row 2 2
12

What is the sum of the first 34 numbers in the series? 147 plus 130 plus 113 plus 96 plus dot dot dot

A
negative 4 comma 131
B
negative 4 comma 539
C
negative 4 comma 828
D
negative 4 comma 791
14

Which expression is equivalent to cosine open paren pi over 12 close paren plus sine open paren pi over 12 close paren ?

A
cosine of open paren negative pi over 3 close paren
B
cosine of open paren pi over 2 close paren
C
sine of open paren negative pi over 3 close paren
D
sine of open paren pi over 2 close paren
15

Which shows a correct simplification of sine of open paren x plus pi close paren ?

A
sine of open paren x plus pi close paren is equal to sine x plus cosine x is equal to sine times x times 1 plus cosine times x times 0 is equal to sine of x
B
sine of open paren x plus pi close paren is equal to cosine x minus sine x is equal to cosine times x times negative 1 minus sine times x times 0 is equal to negative cosine times x
C
sine of open paren x plus pi close paren is equal to sine x plus cosine x is equal to sine times x times negative 1 plus cosine times x times 0 is equal to negative sine times x
D
sine of open paren x plus pi close paren is equal to cosine x minus sine x is equal to cosine times x times 1 plus sine times x times 0 is equal to cosine of x
17

Cable TV service costs 1 dollars comma 020 per year. Joaquin estimates that the rates go up by 60 dollars each year. The given expression represents the total amount of money spent on cable TV for the next 10 years. the sum from n is equal to 1 to 10 of left bracket 1 comma 020 plus 60 right bracket Which of the following is another way to write the expression?

A
the sum from n is equal to 1 to 10 of 1 comma 020 plus the sum from n is equal to 1 to 10 of 60 minus the sum from n is equal to 1 to 10 of 1
B
the sum from n is equal to 1 to 10 of 1 comma 020 plus 60
C
the sum from n is equal to 1 to 10 of 1 comma 020 plus the sum from n is equal to 1 to 10 of 60 plus the sum from n is equal to 1 to 10 of n minus the sum from n is equal to 1 to 10 of 1
D
the sum from n is equal to 1 to 10 of 1 comma 020 plus the sum from n is equal to 1 to 10 of 60 minus the sum from n is equal to 1 to 10 of 60
18

Gas prices are expected to rise 5 percent each week for the next six weeks. Kevin spent 52 point 5 0 dollars to fill his tank this week. Which of the following represents the total amount Kevin can expect to spend to fill his tank over the next three weeks, if he fills his tank once a week?

A
52 point 5 0 dollars plus 55 point 1 3 dollars plus 57 point 7 6 dollars
B
55 point 1 3 dollars plus 57 point 7 6 dollars plus 60 point 3 9 dollars
C
52 point 5 0 dollars plus 55 point 1 3 dollars plus 57 point 8 8 dollars
D
55 point 1 3 dollars plus 57 point 8 8 dollars plus 60 point 7 8 dollars
19

When deriving the Law of Cosines, the equation h squared is equal to A squared minus x squared is created using the Pythagorean theorem. Use substitution to replace h squared in the equation given and then simplify. c squared is equal to h squared plus b squared minus 2 b x plus x squared

A
c squared is equal to A squared plus b squared minus 2 b x
B
c squared is equal to A squared minus b squared minus 2 b x
C
c squared is equal to h squared plus A squared plus b squared minus 2 b x
D
c squared is equal to A squared minus x squared plus b squared minus 2 b x plus x squared
20

Which function is equivalent to the inverse of y is equal to secant of x ?

A
y is equal to cosecant inverse of x
B
y is equal to cosine inverse of open paren 1 over x close paren
C
y is equal to sine inverse of open paren 1 over x close paren
D
y is equal to cotangent inverse of x

Did you find these answers helpful?