How are the time of year and the time of day in this poem appropriate to its mood?

To participate in a school trip, Kim had to earn $85 in one week. Kim could earn$8 per hour babysitting and $15 per hour for yard work, but Kim’s parents limit work time to 8 hours per week. a. Write two equations, one that represents the condition on total number of hours to be worked and the other which relates the number of hours worked at each job toward the fund-raising goal. b. Solve the system of equations you wrote in Part a to find out how many hours Kim will have to work at each job to exactly meet the income goal and the time constraint.

Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes rats to find the food at the end. One researcher needs a maze that will take rats an average of about one minute to solve. He tests one maze on several rats, collecting the data shown.

$$\begin{array}{c} \begin{array}{c} \text{Time} \end{array} \\ \begin{array}{l|r} \hline 38.4 & 57.6 \\ 46.2 & 55.5 \\ 62.5 & 49.5 \\ 38.0 & 40.9 \\ 62.8 & 44.3 \\ 33.9 & 93.8 \\ 50.4 & 47.9 \\ 35.0 & 69.2 \\ 52.8 & 46.2 \\ 60.1 & 56.3 \\ 55.1 & \end{array} \end{array}$$

Eliminate the outlier and find the confidence interval again.

The formula

$$t = 2 \pi \sqrt { \frac { \ell } { 32 } }$$

representsthe swing of a pendulum, where t is the time in seconds for the pendulum to swing back and forth and l is the length of the pendulum in feet. Find the length of a pendulum that makes one swing in 2.75 seconds.

Weekly sales s (in thousands) of a new basketball shoe increase steadily for a while and then decrease as described by the function s=-2It-15I+50 where t is the time (in weeks). Graph the function. What is the greatest number of pairs of shoes sold in one week?

Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes rats to find the food at the end. One researcher needs a maze that will take rats an average of about one minute to solve. He tests one maze on several rats, collecting the data shown.

$$\begin{array}{c} \begin{array}{c} \text{Time} \end{array} \\ \begin{array}{l|r} \hline 38.4 & 57.6 \\ 46.2 & 55.5 \\ 62.5 & 49.5 \\ 38.0 & 40.9 \\ 62.8 & 44.3 \\ 33.9 & 93.8 \\ 50.4 & 47.9 \\ 35.0 & 69.2 \\ 52.8 & 46.2 \\ 60.1 & 56.3 \\ 55.1 & \end{array} \end{array}$$

Plot the data. Do you think the conditions are satisfied? Explain.

Ricardo ran the $400$-meter race $3$ times. His fastest time was $54.3$ seconds. His slowest time was $56.1$ seconds. If his average time was $55.0$ seconds, what was his time for the third race?

Consider an object moving along the parametrized curve with equations: $x(t)= e^t + e^{-t}$ , $y(t)= e^{-t}$ where t is in the time interval $[0,4]$ seconds. Fill in the blanks below.

The maximum speed of the object on the time interval is ____ at time ____.

The minimum speed of the object on the time interval is ____ at time ____.

Verify that the time constant $\tau = m / b$ has units of time for damped oscillations.

How do the images contribute to the overall meaning of each poem? Using a chart like the one shown, select five images and explain how they relate to life.

Decide if the statement is true or false. Give an explanation for your answer. Two horses start a race at the same time and one runs slower than the other throughout the race. The Racetrack Principle can be used to justify the fact that the slower horse loses the race.

A hot-air balloon rises from ground level at a constant velocity of 3.0 m/s. One minute after liftoff, a sandbag is dropped accidentally from the balloon. Calculate (a) the time it takes for the sandbag to reach the ground and (b) the velocity of the sandbag when it hits the ground.

Consider an idealized population with the characteristic that each member of the population produces one offspring at the end of every time period. If each member has a life span of three time periods and the population begins with 10 newborn members, then the following table shows the population during the first five time periods.

Find the total population during the next five time periods.

The time between calls is exponentially distributed with a mean time between calls of 10 minutes. (a) What is the probability that the time until the third call is greater than 30 minutes? (b) What is the mean time until the fifth call?