N/A - Exam Exam Answers

For the complex number z is equal to negative the fraction with numerator square root of 21 and denominator 2 minus the fraction with numerator square root of 7 and denominator 2 i , what is arg z ?

Given: sine of cap A is equal to 4 fifths , pi over 2 is less than cap A comma cap A is less than pi and sine of cap b is equal to the fraction with numerator negative 2 square root of 5 and denominator 5 , pi is less than cap b comma cap b is less than 3 pi over 2 What is the value of cosine of open paren cap A minus cap b close paren ?

What is the exact value of cosine of open paren 7 pi over 8 close paren ?

What is the exact value of cosine of open paren c plus d close paren , given sine c is equal to 24 over 25 for c in Quadrant II and cosine d is equal to negative 3 fourths for d in Quadrant III?

What is the value of cap s sub 4 for this series? the sum from n is equal to 1 to infinity of 6

A circular pool has a footpath around the circumference. The equation x squared plus y squared is equal to 2 comma 500 , with units in feet, models the outside edge of the pool. The equation x squared plus y squared is equal to 3 comma 422 point 2 5 , with units in feet, models the outside edge of the footpath. What is the width of the footpath?

Let magnitude of vector A is equal to 12 at an angle of 25 degrees and magnitude of vector b is equal to 7 at an angle of 105 degrees What is the magnitude of vector a plus vector b ? Round to the nearest tenth.

Which of the following is the correct expanded form for the series? the sum from n is equal to 0 to 4 of open paren negative 1 half close paren to the n th power

Information about two gears is shown in the table. Gear Revolutions per Minute Radius (in.) 1 60 6 2 80 4 Which statements compare the angular and linear velocities of the gears? Choose two correct answers.

Which expression is equivalent to tangent of open paren 3 pi over 4 minus 2 x close paren ?

A ship travels 60 miles in the direction cap s 45 degrees cap e , then travels 150 miles in the direction cap s 20 degrees cap w What is the distance, x , from the starting location?

A series contains 18 numbers and has a sum of 4 comma 185 The last number of the series is 275 What is the first number?

What is the value of this expression? the sum from n is equal to 1 to 100 of open paren 3 plus n squared close paren

What is the value of y in the given sequence? 2 comma y comma 18 comma negative 54 comma 162 comma dot dot dot

In triangle MNP , m angle cap m is equal to 30 degrees , m angle cap n is equal to 20 degrees , and MN is equal to 10 units. What is the approximate length of PN ?

Which is the standard form of the equation of a parabola with a focus of open paren 8 comma 0 close paren and directrix x is equal to negative 8 ?

Khalid invests 500 dollars in an account that earns 1 point 5 percent interest per year, compounded annually. Which of the following is formed by the amount in his account from year to year?

What is the common difference in the following arithmetic sequence? 2 thirds comma 1 sixth comma negative 1 third comma negative 5 sixths comma dot dot dot

Classify the conic represented by the following equation. x squared minus 10 x plus 7 y squared plus y plus 8 is equal to 0

A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60 degrees Which parametric equations model the dolphin’s path through the air?

The displacement, d , in millimeters of a tuning fork as a function of time, t , in seconds can be modeled with the equation d is equal to 0 point 6 sine open paren 3520 pi t close paren What is the frequency of the tuning fork?

Given vector u with components square root three comma negative one and vector v with components three comma negative four , what is vector u times vector v ?

Suppose cosine of x is equal to the fraction with numerator 1 and denominator square root of 5 and sine of x is greater than 0 What is the value of tangent of 2 x ?

A plane intersecting a double-napped cone makes a 55 degrees angle with the central axis. The angle between the generator and the central axis is 35 degrees Which conic section is formed?

Which equation represents a hyperbola with a center at open paren 0 comma 0 close paren , a vertex at open paren 0 comma 60 close paren , and a focus at open paren 0 comma negative 65 close paren ?

Given the vector the 2 by 1 column matrix 4 3 and the transformation matrix the 2 by 2 matrix, row 1, column 1, 0 column 2, 1 row 2, column 1, negative 1 column 2, 0 , which vector is the image after applying the transformation to the 2 by 1 column matrix 4 3 ?

Which graph represents the polar curve r is equal to 1 plus sine of theta ?

An ellipse has a center at the origin, a vertex along the major axis at open paren 0 comma 17 close paren , and a focus at open paren 0 comma negative 8 close paren Which equation represents this ellipse?

Which is equivalent to cosine inverse of 0 ? Give your answer in radians.

What is the sum of this geometric series? the sum from k is equal to 1 to 5 of 6

Consider the sequence 1 third comma 1 ninth comma 1 over 27 comma 1 over 81 comma dot dot dot Which statement describes the sequence?

Sam takes a job with a starting salary of 50 dollars comma 000 for the first year. He earns a 4 percent increase each year. Which expression gives the partial sum, cap s sub 3 , (in thousands)?

Let vector v with components eight comma negative one What is the approximate direction angle of v ?

What is the approximate angle measure for angle cap w in the triangle?

Which is an equation of an asymptote of the hyperbola?

What mistake did Aaron make?

Which point is a vertex of the hyperbola?

Given transformation matrix cap t is equal to the 2 by 2 matrix, row 1, column 1, negative 1 column 2, 0 row 2, column 1, 0 column 2, 1 , which diagram shows the application of cap t to v ?

What is the unknown side length x ? Round the answer to the nearest tenth.

A plane is located on radar by an air traffic controller. What are the magnitude and the direction angle of the vector from the airport to the plane?

What is the length of side m in triangle MNP shown, given cap m is equal to 35 degrees and cap p is equal to 65 degrees and p is equal to 20 ? Round the answer to the nearest tenth.

If the center of the locket is at the origin of a coordinate plane, which equation represents the locket?

To the nearest tenth of a square centimeter, how many square centimeters of the plate are covered by the napkin?

The depth of the water, d , at the end of a pier changes periodically as a function of time, t , in hours as shown in the graph. According to the model, the last low tide occurred at 5:00 a.m. When will the next low tide occur? Let t is equal to 0 be 12:00 a.m.

On Monday, Amie rides her bike from home to school. After school, she bikes to work. After work, she bikes home. Based on the information in the diagram, about how many miles does Amie bike on Monday?

Which is a focus of the hyperbola shown?

Which points are the foci of the ellipse?

To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area?

How much more will company B pay over 30 years?

Which statement describes Ingrid’s claim that cosine of open paren negative pi over 2 plus y close paren is equal to sine of y and her steps in verifying her claim?