On a separate sheet of paper, explain the following term by using it correctly in a sentence. wadis

Find the area under the graph of $g(t)=\frac{t}{\left(1-t^{2}\right)^{a}}$ between t = 0 and t = x, where 0 < x < 1 and a > 0 is fixed. Evaluate the limit as $x \rightarrow 1$

Katie is playing a word game in which tiles with single letters on them are drawn from a bag. Toward the end of the game, the remaining tiles have the letters Z, A, I, L, A and L. Katie draws two tiles at random. Explain how to use the tree diagram to find all of the ways that Katie can draw two of the same letter.

Read each sentence. Think about the meaning of the underlined word in each one. Then look up the word in a print or digital thesaurus. Choose a synonym that gives the sentence a more precise meaning. Discuss your choice. Hunting bats can easily overtake the $\underline{slow}$, night-flying geometrid moth.

A student walks 1.0 mi west and then 1.0 mi north. Afterward, how far is she from her starting point? A. 1.0 mi B. 1.4 mi C. 1.6 mi D. 2.0 mi

Label as true or false and explain why. If $\int_{a}^{b} \mathbf{f}(t) \cdot \mathbf{g}(t) d t=\int_{a}^{b} \mathbf{f}(t) d t \cdot \int_{a}^{b} \mathbf{g}(t) d t$.

Find the sum of the finite geometric series $a+a r+a r^{2}+\cdots+a r^{n-1}$. $a=4, r=10, n=6$

How does money advance the exchange of goods and services?

Determine balanced chemical equations for the following chemical reactions: a. $\mathrm { KOH } + \mathrm { HCl } \rightarrow \mathrm { KCl } + \mathrm { H } _ { 2 } \mathrm { O }$ b. $\mathrm { NaHCO } _ { 3 } \rightarrow \mathrm { H } _ { 2 } \mathrm { O } + \mathrm { CO } _ { 2 } + \mathrm { Na } _ { 2 } \mathrm { CO } _ { 3 }$ c. $\mathrm { Pb } \left( \mathrm { NO } _ { 3 } \right) _ { 2 } + \mathrm { Kl } \rightarrow \mathrm { KNO } _ { 3 } + \mathrm { Pbl } _ { 2 }$

Write each of the following term in a sentence that shows its meaning. You may use two terms in one sentence. cash crop

Suppose that the number of a certain type of computer that can be sold when its price is P (in dollars) is given by a linear function N(P). Determine N(P) if N(1000) = 10,000 and N(1500) = 7,500. What is the change

$$\Delta N$$

in the number of computers sold if the price is increased by

$$\Delta P = 100$$

dollars?

Find two angles $\theta$ on the unit circle, with $0 \leqslant \theta \leqslant 2 \pi$, such that: $\cos \theta=-\frac{2}{17}$

Describe the differences in the chemical makeup of the inner and outer parts of the solar system. What is the relationship between what the planets are made of and the temperature where they formed?

Find each quotient. Simplify if possible. $-\dfrac{3}{4}\div\dfrac{1}{3}$