Applying Vectors in the Plane — Cumulative exam Answers

What is ?

The sum of the first 150 negative integers is represented using the expression . What is the sum of the first 150 negative integers?

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

Review the graph of function f(x).

The relationship between voltage E, current I, and resistance Z is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 – i, what is the voltage of the circuit?

Consider the function .Which statement describes whether the function is continuous at x = 2?

Which series has a sum of 5?

What is ?

A sports store made a display by stacking baseball bats in a pile. The bottom row of the pile has 20 bats, and the top row has 14 bats. Each row has 1 fewer bat than the row below. How many bats are used in the display?

What is the length of side m in shown below, given M = 35° and P = 65° and p = 20? Round the answer to the nearest tenth. [Not drawn to scale]

For the complex number z = , what is arg(z)?

Let r = ⟨5, –1⟩, s = ⟨6, 0⟩, and t = ⟨–1, –3⟩. Aaron incorrectly determined 2r + 4s – 7t as ⟨41, –23⟩. Review his calculations.2r + 4s – 7t2⟨5, –1⟩ + 4⟨6, 0⟩ – 7⟨–1, –3⟩⟨10, –2⟩ + ⟨24, 0⟩ + ⟨7, –21⟩⟨41, –23⟩

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

The graph of 4x2 + 4y2 – 24x – 32y + 72 = 0 is a circle. What is the radius of the circle?

What is the additive inverse of the complex number –12 + 4i?

Consider the function .Which type of discontinuity does the function have at x = –4?

Khalid invests $500 in an account that earns 1.5% interest per year, compounded annually. Which of the following is formed by the amount in his account from year to year?

Stacie is choosing between two jobs. Working for company A, Stacie will make $45,000 the first year and will receive an additional $1,500 per year for each year worked. Working for company B, Stacie will make $42,000 the first year, and she will receive an additional $1,800 per year for each year worked. The expressions representing each company’s total pay over 30 years are shown below.Total Pay over 30 Years at Two CompaniesCompany ACompany BHow much more will company B pay over 30 years?

Sam takes a job with a starting salary of $50,000 for the first year. He earns a 4% increase each year. Which expression gives the partial sum, S3, (in thousands)?