Do the ratios in each pair form a proportion? 3.5/35, 2.04/204

What health problems are caused by air pollution?

Mrs. Nelson has a rectangular flower box that is 5 feet long and 2 feet tall. She wants the width of the box to be no more than 5 feet. If the width is a whole number, what are the possible volumes for the flower box?

Suppose that a dot diagram has $k$ columns and $m$ rows with $p_{j}$ dots in column $j$ and $r_{i}$ dots in row $i .$ Prove the following results. $\\$ (a)$m=p_{1}$and$k=r_{1}$(b)$p_{j}=\max \left\{i : r_{i} \geq j\right\}$for$1 \leq j \leq k$and$r_{i}=\max \left\{j : p_{j} \geq i\right\}1 \leq i \leq m .$(c)$r_{1} \geq r_{2} \geq \cdots \geq r_{m}$ (d) Deduce that the number of dots in each column of a dot diagram is completely determined by the number of dots in the rows.

Give a reason for your answer in each. Assume that all variables represent integers. If n=4k+3, does 8 divide

$$n^2$$

-1?

Fill in each blank so that the resulting statement is true. The volume, V, of a sphere of radius r is given by the formula ____.

Which describes a ridge of sand that connects an island to the mainland or another island? a. baymouth bar b. sea arch c. sea stack d. tombolo

Sketch the following by finding the level curves. Verify the graph using technology. $f ( x , y ) = 2 - \sqrt { x ^ { 2 } + y ^ { 2 } }$

Find the derivative of the given function. $f(x)=\sin x^{2}$

Find all the real fourth roots of each number. -81

Find dy/dx.

$$y=e^{\sin x}$$

Sketch the graph of each of the following functions: y = cos x

The coarse material found in food that helps in digestion is called ___.

Verify that each equation is an identity. $\cos 2 \theta=\frac{2-\sec ^{2} \theta}{\sec ^{2} \theta}$