Explain why the underlined words are used incorrectly in each sentence below:

The $\underline{\text{transient}}$ effects of the liquor never went away.

What mass of ${ }^{90} \mathrm{Sr}$, with a half-life of $29.1$ years, is required to produce $1.00$ millicurie of radioactivity?

For each pair of terms, explain how the meanings of the terms differ.

ordinary well and artesian well

Factor each expression completely. $8100 x^{2}-10,000$

Factor each expression completely. $8100 x^{2}-10,000$

Dada la expresión:

$$a _ { 1 } = \sqrt { x } ; a _ { 2 } = \sqrt [ 3 ] { x \sqrt { x } }$$

$$a _ { 3 } = \sqrt [ 3 ] { x \sqrt [ 3 ] { x \sqrt { x } } }$$

Determina $\dfrac { a _ { 1 } } { a _ { 2 } + a _ { 3 } } ,$ si $x = 64$

If you have been exposed to too much radioactivity, you have received a dangerous __ _

The curie (Ci) is a commonly used unit for measuring nuclear radioactivity: 1 curie of radiation is equal to $3.7 \times 10^{10}$ decay events per second (the number of decay events from 1 g radium in 1 s). What mass of $\mathrm{Na}_{2}^{38} \mathrm{SO}_{4}$ has an activity of 10.0 mCi? Sulfur-38 has an atomic mass of 38.0 u and a half-life of 2.87 h.

Factor the polynomial completely. $4-x+4 x^{2}-x^{3}$

Use the logarithmic function $f(x)=-\log _{3} x.$ What are the intercepts of the function, if any?

Table 12.20 shows the life expectancy for an individual born in the United States in certain years. a. Decide which variable should be the independent variable and which should be the dependent variable. b. Draw a scatter plot of the ordered pairs. c. Calculate the least squares line. Put the equation in the form of: $\hat{y}=a+b x$ d. Find the correlation coefficient. Is it significant? e. Find the estimated life expectancy for an individual born in 1950 and for one born in 1982. f. Why aren’t the answers to part e the same as the values in Table 12.20 that correspond to those years? g. Use the two points in part e to plot the least squares line on your graph from part b. h. Based on the data, is there a linear relationship between the year of birth and life expectancy? i. Are there any outliers in the data? j. Using the least squares line, find the estimated life expectancy for an individual born in 1850. Does the least squares line give an accurate estimate for that year? Explain why or why not. k. What is the slope of the least-squares (best-fit) line? Interpret the slope.

$$\begin{matrix} \text{Year of Birth} & \text{Life Expectancy}\\ \text{1930} & \text{59.7}\\ \text{1940} & \text{62.9}\\ \text{1950} & \text{70.2}\\ \text{1965} & \text{69.7}\\ \text{1973} & \text{71.4}\\ \text{1982} & \text{74.5}\\ \text{1987} & \text{75}\\ \text{1992} & \text{75.7}\\ \text{2010} & \text{78.7}\\ \text{Table 12.20}\\ \end{matrix}$$

Use three unit multipliers to convert 80 yards to centimeters. (Go from yards to feet to inches to centimeters.)

Find the missing term or terms. \

$$7t+23+\underline{\qquad}+\underline{\qquad}=0$$

Determine whether each function is linear or not. Then graph the function.

$$F(x)=3 x^2$$