Draw a cone with a surface area that is between 100 and 150 square units.

If there are 52 cards in a deck, with 2 red suits (groups of 13 different cards) and 2 black suits, what is the probability that a card drawn will be black and a 10?

Copy the chart below into a spreadsheet. The Bluesberg County Zoo has been approached to lower the price of admission by the county commission. The zoo says that the reason why the price is so high is because of the weekly feeding costs of the animals in the zoo. The weekly feeding costs for the animals are shown below. $$ \begin{matrix} & \text{A} & \text{B} & \text{C} & \text{D}\\ \text{1} & \text{Bluesberg County Zoo Weekly Feeding Costs}\\ \text{2} & \text{Animal} & \text{Quantity} & \text{Price per Animal } & \text{Cost}\\ \text{3} & \text{Lions} & \text{12} & \mathrm{$225.00}\\ \text{4} & \text{Bears} & \text{15} & \mathrm{$156.00}\\ \text{5} & \text{Hyenas} & \text{24} & \mathrm{$135.00}\\ \text{6} & \text{Giraffes} & \text{35} & \mathrm{$144.00}\\ \text{7} & \text{Elephants} & \text{18} & \mathrm{$197.00}\\ \text{8} & \text{Gorillas} & \text{19} & \mathrm{$184.00}\\ \text{9} & \text{Rhinoceros} & \text{23} & \mathrm{$122.00}\\ \text{10} & \text{Anacondas} & \text{15} & \mathrm{$78.00}\\ \text{11} & \text{Dolphins} & \text{54} & \mathrm{$193.00}\\ \text{12} & \text{ } & \text{ } & \text{Total Cost}\\ \text{13} & \text{ } & \text{ } & \text{Cost per visitor}\\ \end{matrix} $$ What is the weekly cost of feeding the dolphins?

In each either draw a graph with the specified properties or explain why no such graph exists. Graph with four vertices of degrees 1, 1, 1, and 4.

Insert one pair of parentheses to make each calculation correct.

$$8 - 2 \cdot 3 - 4 = 10$$

A jewelry box measures $2 x+1$ in. long, $2 x-6$ in. wide, and $x$ in. tall. The volume of the box is given by the function $v(x)=4 x^{3}-10 x^{2}-6 x$ . What is the height of the box, in inches, if its volume is 28 in. $^{3}$ ?

Shaneeka is saving up to buy a camera that costs $\$ 65.60 .$ She has already saved $\frac{3}{4}$ of the amount she needs for the camera. How much has Shaneeka saved so far? Explain your solution.

Let

$$p ( x ) = 2 - x - x ^ { 2 } \text { and } q ( x ) = 1 + x + x ^ { 2 }.$$

Using the inner product

$$\left. \begin{array} { r l } { \left\langle a _ { 0 } + a _ { 1 } x + a _ { 2 } x ^ { 2 } , b _ { 0 } + b _ { 1 } x + b _ { 2 } x ^ { 2 } \right\rangle } \\ { = a _ { 0 } b _ { 0 } + a _ { 1 } b _ { 1 } + a _ { 2 } b _ { 2 } }, \end{array} \right.$$

find all polynomials

$$r ( x ) = a + b x + c x ^ { 2 } \text { in } P _ { 2 } ( \mathbb { R } )$$

such that {p(x), q(x), r(x)} is an orthogonal set.

What is the product of the reaction of bromoethane with each of the following nucleophiles? a.

$$CH_3CH_2CH_2O^−$$

, b.

$$CH_3C≡C^-,$$

c.

$$(CH_3)_3N,$$

d.

$$CH_3CH_2S^-$$

Write the sum of the numbers as the product of their GCF and another sum.

$$120+36$$

List two reasons that explain why a simple machine is a useful device.

Nine people (four men and five women) line up at a checkout stand in a grocery store. (a) In how many ways can they line up if all five women must be at the front of the line? (b) In how many ways can they line up if they must alternate woman, man, woman, man, and so on?

A large wrecking ball of mass m is resting against a wall. It hangs from the end of a cable that is attached at its upper end to a crane that is just touching the wall. The cable makes an angle of

$$\theta$$

with the wall. Ignoring friction between the ball and the wall, find the tension in the cable.

Describe a situation that can be represented by the algebraic expression $6 b+w$.