Suppose it could be shown that the ratio of carbon-14 to carbon-12 in living organisms was much greater thousands of years ago than it is today. How would this affect the ages we assign to ancient samples of once-living matter?

Which of the following choices does not correctly match a fundamental interaction with its mediating particles? A. strong: gluons, B. electromagnetic: electrons, C. weak: W and Z bosons, D. gravitational: gravitons.

Which is the weakest of the four fundamental interactions? F. electromagnetic, G. gravitational, H. strong, J. weak.

Explain the main differences between alpha, beta, and gamma emissions.

Name the four fundamental interactions and the particles that mediate each interaction.

Does the nuclear mass or the charge of the nucleus determine what element an atom is?

Explain the main differences between alpha, beta, and gamma decays.

What are the similarities and differences between fission and fusion?

Which of the following statements correctly describes a nucleus with the symbol ${ }_{6}^{14} \mathrm{C}$? A. It is the nucleus of a cobalt atom with eight protons and six neutrons. B. It is the nucleus of a carbon atom with eight protons and six neutrons. C. It is the nucleus of a carbon atom with six protons and eight neutrons. D. It is the nucleus of a carbon atom with six protons and fourteen neutrons.

How many protons are there in the nucleus ${ }_{79}^{197} \mathrm{A u}$? How many neutrons? How many electrons are there in the neutral atom?

Use the advertisement for the following exercise. Write an expression to represent each total cost and then simplify it.

$$\begin{array}{|c|} \hline \begin{array}{} \text{ART SUPPLY SALE} \end{array}\\ \hline \begin{array}{c|c} \text{Colored Pencils} & \text{Sketch Books}\\ ^\$8.88 & ^\$9.96 &&\\ \hline \text{Acrylic Paints}& \text{Paint Brushes}\\ ^\$11.99 & ^\$14.99 &&\\ \end{array}\\ \hline \end{array}$$

cost of $2$ pencil sets and $3$ paintbrush sets

On the short line provided, identify the word group as a sentence fragment (F), a run-on sentence (R ), or a complete sentence (S). Then, rewrite the sentence, correcting sentence fragments and run-ons. Example $\underline{\text{\color{#c34632}F}}$ [1] Clashes between political figures and religious leaders not uncommon even in ancient times.$\underline{\text{\color{#c34632}Clashes between political figures and religious leaders were not uncommon even in ancient times.}}$

________Well known today, Tutankhamen, whose lifesized gold funeral mask was discovered in his tomb in $1922$.

A transform is a formula that converts or “transforms” one function into another. Transforms are used in applications to convert a difficult problem into an easier problem whose solution can then be used to solve the original difficult problem. The Laplace transform of a function f(t), which plays an important role in the study of differential equations, is denoted by

$$\mathscr { L } \{ f ( t ) \}$$

and is defined by

$$\mathscr { L } \{ f ( t ) \} = \int _ { 0 } ^ { + \infty } e ^ { - s t } f ( t ) d t$$

. In this formula s is treated as a constant in the integration process; thus, the Laplace transform has the effect of transforming f(t) into a function of s. Use this formula in these exercises. In each part, find the Laplace transform.

$$f(t)=t, s>0$$

Most of the sentences in the following paragraph contain errors in pronoun usage. Identify each error, and then give the correct pronoun form. If a sentence is already correct, write $C$.

EXAMPLE: Mom showed Larry and I an old history book that she had found in the attic. I-me

Wouldn't it have been great to meet and talk with they at the old mill?