Indicate whether each of the following can be determined exactly or must be measured with some degree of uncertainty: (a) the number of seconds in an hour (b) the number of pages in this book (c) the number of grams in your weight (d) the number of grams in 3 kilograms (e) the volume of water you drink in one day (f) the distance from San Francisco to Kansas City

Give the name of the prefix and the quantity indicated by the following symbols that are used with SI base units. (a) c (b) d (c) G (d) k (e) m (f) n (g) p (h) T

Indicate whether each of the following can be determined exactly or must be measured with some degree of uncertainty: (a) the number of eggs in a basket (b) the mass of a dozen eggs (c) the number of gallons of gasoline necessary to fill an automobile gas tank (d) the number of $\mathrm{cm}$ in $2 \mathrm{~m}$ (e) the mass of a textbook (f) the time required to drive from San Francisco to Kansas City at an average speed of $53 \mathrm{mi} / \mathrm{h}$

Let f(x)=-3x+4 and $g(x)=-x^{2}+4 x+1$. Find each of the following. Simplify if necessary. g(k)

How many significant figures are contained in each of the following measurements? (a) 53 cm (b) $2.05 \times 10^{8} \mathrm{m}$ (c) 86,002 J (d) $9.740 \times 10^{4} \mathrm{m} / \mathrm{s}$ (e) 10.0613 $m^3$ (f) 0.17 g/mL (g) 0.88400 s

Indicate the SI base units or derived units that are appropriate for the following measurements: (a) the mass of the moon (b) the distance from Dallas to Oklahoma City (c) the speed of sound (d) the density of air (e) the temperature at which alcohol boils (f) the area of the state of Delaware (g) the volume of a flu shot or a measles vaccination

Assume that $\Omega=\{1,2,3,4,5\},$ P (1) = 0.1, P(2) = 0.2, and P(3) = P(4) = 0.05. Furthermore, assume that A = {1, 3, 5} and B = {2, 3, 4}. Find $P\left(A^{c}\right).$

Is a meter about an inch, a foot, a yard, or a mile?

A 2.18 $\mathrm{L}$ sample of butyric acid, a substance present in rancid butter, has a mass of 2088 $\mathrm{g}$. What is the density of butyric acid in grams per millilitre?

Prove that if x and y are positive real numbers, then $\sqrt{x+y} \neq \sqrt{x}+\sqrt{y}.$

Solve each equation. $\frac{x+4}{2 x}=\frac{x-1}{3}$

The edge length of a cubic crystal is 133 pm. Calculate the volume of the crystal to the correct number of significant figures. Express your answer in unit of $\mathrm{pm}^{3}$.

A solution of sucrose in water is $28.0 \%$ sucrose by mass and has a density of $1.118 \mathrm{~g} / \mathrm{mL}$. What mass of sucrose, in grams, is contained in $3.50 \mathrm{~L}$ of this solution?

Express each of the following numbers in scientific (exponential) notation.

f. $~~0.000000000902$