Write a balanced chemical equation for the reaction that occurs when $1 mol$ of methyl myristate, $C _{13} H _{27} CO _2 CH _3(\ell)$, is burned, forming $CO _2( g )$ and $H _2 O ( g )$

In this exercise, factor the given expression below.

$$108 g^2 h-162 g h+54 h$$

Evaluate the expression: 4²

Find (if possible) the complement and supplement of the angle. $167^{\circ}$

Consider the rational function function $h$ with $h(x)=h(x)=\dfrac{3x^3+8x^2-4x}{x^2-1}$ a) Use polynomial division to write an expression equivalent to $h(x)$ in the form $h(x)=q(x)+ \dfrac{r(x)}{d(x)}$ b) Do the two expressions have the same domain? Explain. c) Find $\lim\limits_{x \to \infty}h(x)$ and $\lim\limits_{x \to -\infty}h(x)$

In the given figure, $m \angle 1=(5 x+11)^{\circ}, m \angle 2=(3 x+22)^{\circ}$, and $m \angle 3=(9 x+28)^{\circ}$.

PART A Which equation could you use to find $m \angle 1$ ?

(A) $m \angle 1+m \angle 2+m \angle 3=90^{\circ}$

(B) $m \angle 1+m \angle 2+m \angle 3=180^{\circ}$

(C) $m \angle 1-m \angle 2=m \angle 3$

(D) $m \angle 1+m \angle 2=m \angle 3$

PART B What is $m \angle 1$ ? Explain your reasoning.

Combine and simplify.

$$\frac{c}{c^{2}+3 c-4}-\frac{1}{c^{2}+3 c-4}$$

Babe Ruth and Hank Greenberg are among the ten baseball players with the most home runs in a major league baseball season.

The number of home runs by these players for the seasons shown are consecutive even integers whose sum is $118$. Determine the number of homers hit by Greenberg and by Ruth.

Use the normal approximation to the binomial distribution to determine (to four decimals) the probability of getting 7 heads and 7 tails in 14 flips of a balanced coin. Also refer to the binomial probabilities table of "Statistical Tables" to find the error of this approximation.

Find each sum. $\left(2 c^{3}-4 c+7 c^{2}\right)+\left(c^{2}-c^{3}-c\right)$

Write a balanced net ionic equation for each reaction. Pb(C$_2$H$_3$O$_2)_2(aq)+$ HCl$(aq)\longrightarrow$ PbCl$_2(s)+$ HC$_2$H$_3$O$_2(aq)$

American Express Company is a major financial services company, noted for its American Express card. Some of the performance measures used by the company in its balanced scorecard follow:

Average card member spending Number of Internet features
Cards in force Number of merchant signings
Earnings growth Number of new card launches
Hours of credit consultant training Return on equity
Investment in information technology Revenue growth
Number of card choices

For each measure, identify whether the measure best fits the innovation, customer, internal process, or financial dimension of the balanced scorecard.

Prove that the statement is true for every positive integer $\boldsymbol{n}$.

If $a$ is greater than $1$ , then $a^n>1$.

If a cannonball is shot directly upward with a velocity of 256 ft per second, its height above the ground after $t$ seconds is given by

$$s(t) = 256t - 16t^2$$

Find the velocity and the acceleration after $t$ seconds. What is the maximum height the cannonball reaches? When does it hit the ground ?