If f(x)=4x+11, find f(-2).

Use the statements below and the given logic statement to write compound sentences in English. p: I go to the math learning center. q: I complete my math homework.

$$q\Rightarrow p$$

In 1897 the Swedish explorer Andree tried to reach the North Pole in a balloon. The balloon was filled with hydrogen gas. The hydrogen gas was prepared from iron splints and diluted sulfuric acid. The reaction is

$$\mathrm { Fe } ( s ) + \mathrm { H } _ { 2 } \mathrm { SO } _ { 4 } ( a q ) \longrightarrow \mathrm { FeSO } _ { 4 } ( a q ) + \mathrm { H } _ { 2 } ( g )$$

The volume of the balloon was

$$4800\ m^3,$$

and the loss of hydrogen gas during filling was estimated at 20.%. What mass of iron splints and 98% (by mass)

$$H_2SO_4$$

were needed to ensure the complete filling of the balloon? Assume a temperature at

$$0^\circ C,$$

a pressure of 1.0 atm during filling, and 100% yield.

Explain briefly why the brightness of a bulb doesn’t change noticeably when you use longer copper wires to connect it to the battery.

Let

$$f(x)=\left\{\begin{array}{l}{x^{2}-3 \text { for } x \leq 2} \\ {5-x \text { for } x>2}\end{array}\right.$$

Evaluate the following limits. If the lumit does not exist, explain why it does not exist. a. $\lim _{x \rightarrow 2^{+}} f(x)$ b. $\lim _{x \rightarrow 2^{-}} f(x)$ c. $\lim _{x \rightarrow 2} f(x)$

True or False. Two triangles are congruent if two angles and the included side of one equals two angles and the included side of the other.

Find the indicated sides of the right triangle. b = 5600, c = 6500, a = ?

Multiply or divide, as indicated, and write scientific notation for the result:

$$(3.1 \times 10^7)(2.1 \times 10^{- 4})$$

A block of wood has a mass of 120 g and a volume of

$$200 \mathrm { cm } ^ { 3 }$$

What is the density of the wood?

A spring hangs from the ceiling. Describe how a single coil moves as a longitudal wave passes through the spring.

Even on a cloudy day, you can get sunburned outside. However, inside a glass greenhouse, you won’t get sunburned. Which type of electromagnetic waves will pass through clouds, but not glass?

Plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. $-2+3 i$

The improper fraction 3/2 equals what mixed number?

If P is a polynomial of degree k, then $\int{P(x)e^x}dx=[P(x)-P'(x)+\cdots\pm P^{(k)}(x)]e^x+C$ Verify this statement. For simplicity, take k = 4.