How much work is done when a $75.0-\mathrm{kg}$ person climbs a flight of stairs $10.0 \mathrm{~m}$ high at constant speed? a) $7.36 \cdot 10^5 \mathrm{~J}$, b) $750 \mathrm{~J}$, c) $75 \mathrm{~J}$, d) $7500 \mathrm{~J}$, e) $7360 \mathrm{~J}$.

Find the equation of the line that contains the given point and has the given slope.

$$P(-2,0), m=\frac{3}{2}$$

Match each equation or inequality with its solution. Letters may be used more than once or not at all. A. no solution, or $\varnothing$ B. $(-\infty, \infty)$

$$|x+3|>-9$$

Find the value of the sum $\displaystyle\sum_{j = 1}^63^{j + 1}$.

Find the roots of the following quadratic equation. $2 x^2=32$

Evaluate the below series.

$$\sum_{j=1}^4 \frac{1}{j}$$

The vertices of $\triangle G H J$ are G(-4,-7), H(2,5), and J(10,-3) . V is the midpoint of $\overline{G H}$, and W is the midpoint of $\overline{H J}$. Show that $\bar{V} \| \overline{G J}$ and $V W=\frac{1}{2} G J$

Calculate the given quantity if

$$\mathbf{a}=\mathbf{i}+\mathbf{j}-2 \mathbf{k} \quad \mathbf{b}=3 \mathbf{i}-2 \mathbf{j}+\mathbf{k} \quad \mathbf{c}=\mathbf{j}-5 \mathbf{k}$$

$$\operatorname{proj}_{\mathrm{a}} \mathbf{b}$$

Read the question and explain your answer. Is $[(-2,0),(-1,3),(0,-2),(3,-1)]$ a function?

Graph each rational function. $f(x)=\frac{(x-5)(x-2)}{x^{2}+9}$

Perform the indicated operations, where $u=3 i-2 j$ and $v=-2 i+3 j$. $\frac{2}{3} \mathbf{v}+\frac{3}{4} \mathbf{u}$

Show the conjecture is false by finding a counterexample.

The difference of the absolute value of two numbers is positive, meaning |a|-|b|>0.

Convert 4 dag to $\mathrm{kg}$.

Let $\mathbf{u}=\frac{\mathbf{i}+\mathbf{j}}{\sqrt{2}}, \mathbf{v}=\frac{\mathbf{i}-\mathbf{j}}{\sqrt{2}}$, and $\mathbf{w}=5 \mathbf{i}-\mathbf{j}$.
If $\mathbf{w}=a \mathbf{u}+b \mathbf{v}$, show that $a=\mathbf{w} \cdot \mathbf{u}$ and $b=\mathbf{w} \cdot \mathbf{v}$.