Explain the statement that the genetic code is universal.

(A) Find the slope of the line that passes through the given points. (B) Find the standard form of the equation of the line. (C) Find the slope-intercept form of the equation of the line. $(2,3)$ and $(-3,7)$

Lawrence Haas makes our deficit spending sound like there's no problem at all. Is this the case, or does he mean something else? Explain.

Write an equation of the line that passes through (-6, 8) and is parallel to the line y = 3x - 15.

Without graphing, classify each system as independent, dependent, or inconsistent.

$$\left\{\begin{array}{l}{2 y-x=4} \\ {\frac{1}{2} x+y=2}\end{array}\right.$$

find the slope and y-intercept (if possible) of the equation of the line. Sketch the line. 3y + 5 = 0

A system consisting of $2 \mathrm{~kg}$ of ammonia undergoes a cycle composed of the following processes:

Process 1-2: constant volume from $p_1=10$ bar, $x_1=0.6$ to saturated vapor

Process 2-3: constant temperature to $p_3=p_1, Q_{23}=+228 \mathrm{~kJ}$

Process 3-1: constant pressure

Sketch the cycle on $p-v$ and $T-v$ diagrams. Neglecting kinetic and potential energy effects, determine the net work for the cycle and the heat transfer for each process, all in $\mathrm{kJ}$.

find the distance between the point and the line. Point (1, -3). Line y = 2x - 5

The solubility of zinc oxalate, $\mathrm{ZnC}_2 \mathrm{O}_4$, in $0.0150$ $M$ ammonia is $3.6 \times 10^{-4} \mathrm{~mol} / \mathrm{L}$. What is the oxalate-ion concentration in the saturated solution? If the solubility product constant for zinc oxalate is $1.5 \times 10^{-9}$, what must be the zinc-ion concentration in the solution? Now calculate the formation constant for the complex ion $\mathrm{Zn}\left(\mathrm{NH}_3\right)_4^{2+}$.

Determine whether the events are independent or dependent. Explain your reasoning. Tossing a coin four times, getting four heads, and tossing it a fifth time and getting a head

Determine whether the following sets are linearly dependent or linearly independent.

$$\{ \begin{bmatrix}1&-3\\-2&4\end{bmatrix}, \begin{bmatrix}-2&6\\4&-8\end{bmatrix}\}\text{ in } M_{2\times 2}(R)$$

Determine whether the following sets are linearly dependent or linearly independent.

$$\{ \begin{bmatrix}1&-2\\-1&4\end{bmatrix}, \begin{bmatrix}-1&1\\2&-4\end{bmatrix}\}\text{ in } M_{2\times 2}(R)$$

Determine whether the following sets are linearly dependent or linearly independent.

$$\{ x^3+2x^2,-x^2+3x+1,x^3-x^2+2x-1\}\text{ in } P_3(R)$$

Determine whether the following sets are linearly dependent or linearly independent.

$$\{ x^3-x,2x^2+4,-2x^3+3x^2+2x+6\}\text{ in } P_3(R)$$

Determine whether the following sets are linearly dependent or linearly independent.

$$\{ (1,-1,2), (1,-2,1),(1,1,4) \}\text{ in }R^3$$

Determine whether the following sets are linearly dependent or linearly independent.

$$\{ (1,-1,2), (2,0,1),(-1,2,-1) \}\text{ in }R^3$$

Determine whether the following sets are linearly dependent or linearly independent.

$$\{ \begin{bmatrix}1&0\\-2&1\end{bmatrix}, \begin{bmatrix}0&-1\\1&1\end{bmatrix}, \begin{bmatrix}-1&2\\1&0\end{bmatrix}, \begin{bmatrix}2&1\\-4&4\end{bmatrix}\}\text{ in } M_{2\times 2}(R)$$

Determine whether the following sets are linearly dependent or linearly independent.

$$\{ \begin{bmatrix}1&0\\-2&1\end{bmatrix}, \begin{bmatrix}0&-1\\1&1\end{bmatrix}, \begin{bmatrix}-1&2\\1&0\end{bmatrix}, \begin{bmatrix}2&1\\2&-2\end{bmatrix}\}\text{ in } M_{2\times 2}(R)$$

Determine whether the following sets are linearly dependent or linearly independent.

$$\{ x^4-x^3+5x^2-8x+6,-x^4+x^3-5x^2+5x-3,x^4+3x^2-3x+5, 2x^4+3x^3+4x^2-x+1,x^3-x+2\}\text{ in } P_3(R)$$

Determine whether the following sets are linearly dependent or linearly independent.

$$\{ x^4-x^3+5x^2-8x+6,-x^4+x^3-5x^2+5x-3,x^4+3x^2-3x+5, 2x^4+x^3+4x^2+8x\}\text{ in } P_3(R)$$

The genetic code is random, which means that a particular codon could have coded for a different amino acid. The genetic code is also nearly universal, meaning that it is the same code in nearly all organisms (and in the few where it differs, it does so only slightly). If scientists ever find life on anot her planet, they will be curious to know its genetic code. What would a completely different genetic code indicate about the origin of the life forms? What would a genetic code identical to terrestrial life indicate?

At what point on the graph of y = 3˟ + 1 is the tangent line parallel to the line y =5x - 1?

Tell whether each set of events is independent or dependent. Explain your answer. Roll a prime number on a number cube and get tails when tossing a coin.