How did Griffith confirm that it was the bacteria causing the pneumonia and not something else?

Solve each system by the method of your choice.

$$\left\{ \begin{array} { l } { x ^ { 2 } + y ^ { 2 } = 13 } \\ { x ^ { 2 } - y = 7 } \end{array} \right.$$

Copy and complete the following sentences. a. The set of all numbers on the number line are called the _____. b. A number that has an equivalent terminating or repeating decimal is called a(n) _____. c. A number that has an equivalent decimal that is non-repeating is called a(n) _____. d. Any number that can be written as a fraction of integers is a(n) _____.

A classic tale involves four car-pooling students who missed a test and gave as an excuse a flat tire. On the makeup test, the instructor asked the students to identify the particular tire that went flat. If they really didn't have a flat tire, would they be able to identify the same tire? The author asked 41 other students to identify the tire they would select. The results are listed in the following table (except for one student who selected the spare). Use a 0.05 significance level to test the author's claim that the results fit a uniform distribution. What does the result suggest about the ability of the four students to select the same tire when they really didn't have a flat?

$$\begin{matrix} \text{Tire} & \text{Left front} & \text{Right front} & \text{Left rear} & \text{Right rear}\\ \text{Number selected} & \text{11} & \text{15} & \text{8} & \text{6}\\ \end{matrix}$$

State the domain and range of the function and sketch a graph showing four periods.

$$y=cos^2x$$

The temperature of 1.00 mol of a monatomic ideal gas is raised reversibly from 300 K to 400 K, with its volume kept constant. What is the entropy change of the gas?

Solve each inequality and graph the solutions. 2x-3<7

Let

$$f ( x , y ) = m x y ^ { 2 },$$

where m is a constant. Find a value of m such that

$$\iint _ { \mathcal { R } } f ( x , y ) d A = 1,$$

where

$$\mathcal { R } = [ 0,1 ] \times [ 0,2 ].$$

Write each expression in factored form. $k^{2}-5 k-24$

Use the matrix A and the correspondence (1) to decode the given message.

$$\mathbf{A}=\left(\begin{array}{ll}{2} & {-1} \\ {1} & {-1}\end{array}\right)$$

;

$$\mathbf{B}=\left(\begin{array}{ccccccc}{46} & {-7} & {-13} & {22} & {-18} & {1} & {10} \\ {23} & {-15} & {-14} & {2} & {-18} & {-12} & {5}\end{array}\right)$$

A piston–cylinder device contains a mixture of 0.8 kg of $\mathrm{H}_{2}$ and 1.2 kg of $\mathrm{N}_{2}$ at 100 kPa and 300 K. Heat is now transferred to the mixture at constant pressure until the volume is doubled. Assuming constant specific heats at the average temperature, determine (a) the heat transfer and (b) the entropy change of the mixture.

Sketch the following regions R. Then express $\iint _ { R } f ( r , \theta ) d A$ as an iterated integral over R. The region inside the lobe of the lemniscate $r ^ { 2 } = 2 \sin 2 \theta$ in the first quadrant

Write an equation in point-slope form for the line with the given slope that contains the given point. slope=

$$\frac{1}{5}$$

; (2, -6)

A bracelet containing 0.200 mol metal atoms is 75% gold. How many particles of gold atoms are in the bracelet?