What is the total number of electrons in the sixth energy level (n = 6)?

Syntenic genes can assort independently. Explain this observation.

Rewrite each of the following division problems in base eight using the missing-factor approach, and find the answer in the table.

i. $61_{\text {eight }} \div 7_{\text {eight }}$

ii. $17_{\text {eight }} \div 3_{\text {eight }}$

iii. $30_{\text {eight }} \div 6_{\text {eight }}$

iv. $16_{\text {eight }} \div 2_{\text {eight }}$

v. $44_{\text {eight }} \div 6_{\text {eight }}$

vi. $25_{\text {eight }} \div 7_{\text {eight }}$

Let $Y_{1}, Y_{2}, \ldots, Y_{n}$ be a random sample from a normal distribution. Use the statement to prove that $S^{2}$ is consistent for $\sigma^{2}$.

Suppose that on a very busy day, your bank is running short of available cash. Why would your bank prefer to borrow from another commercial bank instead of from the Federal Reserve?

The volume V of an elastic container for air—like a tire or a balloon—is related to the temperature T and to the pressure P of the air inside the container. The formula $V = k \cdot \frac { T } { P }$ is one way of expressing that relationship. The number k > 0 is a constant depending on the units of measurement for volume, temperature, and pressure. How will volume of a balloon change if: i. pressure remains constant, but temperature increases? ii. pressure remains constant, but temperature decreases? iii. temperature remains constant, but pressure increases? iv. temperature remains constant, but pressure decreases?

Described the relationship of the two graphed lines.

The hydraulic cylinder CF, which partially controls the position of rod DE, has been locked in the position shown. Member BD is $\frac{5}{8}$ in. thick and is connected to the vertical rod by a $\frac{3}{8}$-in.-diameter bolt. Determine (a) the average shearing stress in the bolt, (b) the bearing stress at C in member BD.

How do the following genomic features of prokaryotic organisms compare with those of eukaryotic organisms? How do they compare among eukaryotes?
a. Genome size
b. Number of genes
c. Gene density (bp/gene)
d. Number of exons

What is the air-fuel ratio? How is it related to the fuel-air ratio?

Each of the two links has a mass of 2 kg and a centroidal radius of gyration of 60 mm. The slider at B has a mass of 3 kg and moves freely in the vertical guide. The spring has a stiffness of 6 kN/m. If a constant torque determine the angular velocity $\omega$ of OA(200 mm) when $\theta$ = 0.

Match each expression below to a set of steps I - V.

a. $2\cdot x-2$

b. $2\cdot (x+5)$

c. $2\cdot (x-2)$

d. $5\cdot (x+3)$

e. $3x+5$

I. Choose any number. Subtract 2. Multiply it by 2.

II. Choose any number. Multiply it by 2. Subtract 2.

III. Choose any number. Add 3. Multiply it by 5.

IV. Choose any number. Add 5. Multiply it by 3.

V. Choose any number. Multiply it by 3. Add 5.

Identify each of the following claims as true or incorrect. The natural frequency of a system can be changed by varying its damping.

Verify the Divergence Theorem for the vector field and region.

$$\mathbf { F } ( x , y , z ) = \langle x , 0,0 \rangle,$$

the region

$$x ^ { 2 } + y ^ { 2 } \leq z \leq 4$$