You are traveling north and make a $90^\circ$ right -hand turn east on a flat road while driving a car that has a total weight of $3600\ \mathrm{lb}$. Before the turn, the car was traveling at $40\ \mathrm{mi/ h}$, and after the turn is completed you have slowed to $30\ \mathrm{mi/ h}$. If the turn took $4.25\ \mathrm{s}$ to complete, determine the following : (a) the car 's change in kinetic energy, (b) the car 's change in momentum (including direction), and (c) the average net force exerted on the car during the turn (including direction) .

Determine the indicated term for the arithmetic sequence with the first term,

$$a_1$$

, and common difference, d. Determine

$$a_{14}$$

when

$$a_1=1/3,d=2/3.$$

For married couples living in a certain suburb, the probability that the husband will vote on a bond referendum is 0.21, the probability that the wife will vote on the referendum is 0.28, and the probability that both the husband and the wife will vote is 0.15. What is the probability that (a) at least one member of a married couple will vote? (b) a wife will vote, given that her husband will vote? (c) a husband will vote, given that his wife will not vote?

Plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. $-3i$

Find the line integrals along the given path C.

$$\int _ { C } \frac { x } { y } d y , \text { where } C : x = t , y = t ^ { 2 } , \text { for } 1 \leq t \leq 2$$

Prove the Triangle Exterior Angle Theorem.

Solve the system of linear equations by elimination. Check your solution.

$$\begin{array} { l } { 2 x - y = 1 } \\ { x + 3 y - 4 = 0 } \end{array}$$

Write each as a numerical expression. 9 more than the quotient of 12 and 4

Determine whether the statement is true or false. Explain your answer. Given a nonzero scalar c and vectors b and d, the vector equation ca+b=d has a unique solution a.

Unicellular organisms have one cell. Multicellular organisms have many body cells. Which statement correctly tells why these cells of unicellular and multicellular organisms divide? A. The cells of unicellular organisms divide to reproduce; those of multicellular organisms divide to replace cells and to grow. B. The cells of unicellular organisms divide to replace cells and to grow; those of multicellular organisms divide to reproduce. C. The cells of both kinds of organisms divide to reproduce. D. The cells of both kinds of organisms divide to replace cells and to grow.

Find the GCF, then use it to write the fraction in simplest form. Check your work. $\frac { 27 } { 72 }$

How many edges does a triangular pyramid have? A. 4 B. 5 C. 6 D. 8

Quarters are now manufactured so that they have a mean weight of 5.670 g and a standard deviation of 0.062 g, and their weights are normally distributed. A vending machine is configured to accept only those quarters that weigh between 5.550 g and 5.790 g. If l randomly selected quarter is inserted into the vending machine, what is the probability that it will be accepted?

In 1935, Charles F. Richter developed the Richter magnitude test scale to compare the size of earthquakes. The Richter scale is based on the amplitude of the seismic waves recorded on seismographs at various locations after being adjusted for distance from the epicenter of the earthquake. Richter assigned a magnitude of 0 to an earthquake whose amplitude on a seismograph is 1 micron, or

$$10^{-4} cm.$$

According to the Richter scale, a magnitude 1.0 earthquake causes 10 times the ground motion of a magnitude 0 earthquake. A magnitude 2.0 earthquake causes 10 times the ground motion of a magnitude 1.0 earthquake. This pattern continues as the magnitude of the earthquake increases. How does the ground motion caused by earthquakes of these magnitudes compare? Magnitude 5.0 earthquake compared to magnitude 4.0. Magnitude 4.0 earthquake compared to magnitude 1.0. Magnitude 4.0 earthquake compared to magnitude 0.