Practice Exam Answers

The time it takes a spinner to stop completely is 12 seconds. If the spinner completes 6 revolutions in this time, what was the average angular velocity of the spinner, in radians per second, for the 12 -second interval?

The height, h , in feet of a ball suspended from a spring as a function of time, t , in seconds can be modeled by the equation h is equal to A sine open paren b times open paren t minus h close paren close paren plus k What is the height of the ball at its equilibrium?

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 ?

Triangle cap m cap n cap p has vertices cap n times open paren 2 comma 2 close paren and cap p times open paren 0 comma negative 2 close paren The triangle is symmetric about the y -axis. What is the approximate measure of the largest angle in the triangle?

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?

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 ?

Carissa is budgeting for her next semester at college. She spent 50 dollars on gas this month. Economists are predicting gas prices to rise 8 percent per month for the next 6 months. How much should she budget for gas if classes start next month and are 4 months long?

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?

Jamal draws triangle XYZ If m angle cap x is equal to 46 degrees , XZ is equal to 10 , and YZ is equal to 8 , what is the approximate length of XY ?

Let vector q with components fifteen comma negative three , vector r with components negative five comma eight , and vector s with components ten comma negative one What is vector r minus vector q plus 2 vector s ?

Given vectors vector u with components three comma four and vector v with components four comma three , what is the measure of the angle between the vectors?

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

Stu takes a job with a starting salary of 65 dollars comma 000 for the first year. He earns a 2 percent increase each year. To the nearest dollar, how much does Stu make over the first five years?

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

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

The explicit rule for an arithmetic sequence is A sub n is equal to 8 point 7 plus negative 1 point 4 times open paren n minus 1 close paren What is the value of the 47 th term? Round to the nearest tenth, if necessary.

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?

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?

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

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

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

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?

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 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?

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

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

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

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 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?

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

What is the modulus of z ?

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