Suppose you measure the mass of the banana before it rots. You measure the mass again days later after the banana has turned black and find that the mass is less. Use the law of conservation of mass to conclude what happened to the mass of the banana.

Interpreting Data Joshua skates in a straight line at a constant speed for 1 min, then begins going in circles at the same rate of speed, and finally begins to increase speed. When is he accelerating? Explain your answer.

The Tell-All Phone Company charges $0.58 for the first two minutes and$0.21 for each extra minute (or part of a minute). Express their rate schedule as a piecewise function. Let m represent the number of minutes and let c(m) represent the cost of the call.

Define the term conservation.

What does Berkshire Hathaway’s purchase of Burlington Northern Santa Fe Railroad say about what Buffett thinks about global energy conservation trends? (Hint: how does the energy efficiency of shipping goods by rail compare with shipping goods by truck or airplane?)

Use conservation of energy to obtain an expression connecting $x^2$ and $p^2$ for a harmonic oscillator, then use it along with the result to compute $\left\langle p^2\right\rangle$ for the harmonic oscillator ground state.

Solve. A calculator may be helpful. Almost 2000 years ago, Plutarch observed that 1 more than eight times a triangular number always gives a special kind of number. What is the kind of number. Give a convincing argument to support your answer.

Sister chromatids are attached to each other at an area called the a. centriole. b. centromere. c. spindle. d. chromosomes.

Earth has usually been much warmer than it is today. During the high point of the Mesozoic era, in fact, the sea surface temperature may have been $31^{\circ} \mathrm{F}$ warmer than at present. Yet life was abundant on planet Earth in the Mesozoic era. Why then do we worry about high surface temperatures today?

A box is 4 in. high. Its length is 1.5 times its width. The volume of the box is 1350 in.². What are the width and length of the box?

The coordinates of point T are given. The midpoint of ST is (5, -8). Find the coordinates of point S. T(5, -15)

Describe how the duplicated bacterial chromosomes are distributed into new daughter cells without the direction of the mitotic spindle.

Aluminum chloride sublimes at high temperatures. What density will the vapor have at

$$225 ^ { \circ } \mathrm { C }$$

and 0.939 atm pressure?

Make a list of items with a high-profit margin that could be included in the plans for a house.