Name all of the sets of numbers to which the real number belongs. Write whole, integer, rational, or irrational. -36/4

Verify that the Divergence Theorem is true for the vector field F on the region E. $\mathbf{F}(x, y, z)=y^{2} z^{3} \mathbf{i}+2 y z \mathbf{j}+4 z^{2} \mathbf{k}$ E is the solid enclosed by the paraboloid $z=x^{2}+y^{2}$ and the plane $z = 9$

What is RNA interference?

Solve the following linear program using SIMPLEX: minimize

$$x_1 + x_2 + x_3$$

subject to

$$2x_1 + 7.5x_2 + 3x_3 ≥ 10000, 20x_1 + 5x_2 + 10x_3 ≥ 30000, x_1, x_2, x_3 ≥ 0$$

.

Match the terms in Column A with the appropriate description in Column B.

Column A

isokinetic

Column B

A. uses a guided weight machine; the resistance varies as the exercised area goes through the range of motion

B. muscle exercises using contraction and relaxation; contraction of a muscle against an immovable object

C. contraction of the muscle, using the same weight throughout the contraction

D. the shape of a muscle at its resting state

E. muscle lengthens during contraction

F. muscle shortens during contraction

G. the girth or size of the muscle

H. the speed is controlled during the exercise so maximum contraction of the muscle through the full range of motion can be attained

The perimeter of $\triangle A B C$ is 89 millimeters. The length of $\overline{A C}$ is 47 millimeters less than the sum of the lengths of the other two sides. The length of $\overline{B C}$ is 20 millimeters more than half the length of $\overline{A B}.$ Use a system of equations to find the length of each side.

When both an electron and a positron are at rest, they can annihilate each other according to the reaction

$e^{-}+e^{+} \rightarrow \gamma+\gamma$

In this case, what are the energy, momentum, and frequency of each photon?

A projectile of mass 0.320 kg is fired from the ground with an initial speed v0 = 12.6 m/s and an initial angle theta 0 = 30.0 degree above a horizontal x axis (the y axis extends upward). Why should the results of expression for the magnitude of the projectile's angular momentum about the firing point as a function of time and the rate at which the angular momentum changes with time are identical?

Write a paragraph persuading teens to use good communication skills to help cope with mood swings.

Answer each question.

How is this a good example of a personal letter?

For a monatomic gas, one measure of the "average speed" of the atoms is the root mean square speed, $\mathrm{v}_{r m s}=\left\langle\mathrm{v}^2\right\rangle^{1 / 2}=\sqrt{3 k_B T / m}$, in which $m$ is the molecular mass and $k$ is the Boltzmann constant. Using this formula, calculate the de Broglie wavelength for $\mathrm{H}_2$ and $\mathrm{Ar}$ at 200. and at 900. K.

Write an algebraic expression for the verbal expression : "$x$ increased by 12."

What information do you need when preparing your personal needs profile ?

Explain why the first statement is false but the second is true. • All linear equations can be written in point-slope form. • All linear equations that describe functions can be written in point-slope form.