How is osmosis related to diffusion?

A soft drink company calls 500 people at random and asks " is our product or our rival's product the best soft drink on the market?" Why is this question a potential source of bias?

Identify the interval(s) on which each quadratic function is positive

$$y=x^2+9x+18$$

Anita says that you can rewrite any proof that uses the AAS Theorem as a proof that uses the ASA Postulate. Do you agree with Anita? Explain.

Solve the equation.

$$\frac { x ^ { 2 } } { 5 } - \frac { 4 } { 5 } = - \frac { 3 } { 5 } x$$

Antidifferentiate using the table of integrals. You may need to transform the integrand first. $\int \cos 2 y \cos 7 y d y$

Toward what condition does diffusion eventually lead, in the absence of other influences?

Write the number in scientific notation. 276,000,000,000

Name the coordinates of the endpoints of a line segment that is neither horizontal nor vertical and has a length of 5 units.

Consider the reactions

$$\mathrm { Ni } ^ { 2 + } ( a q ) + 6 \mathrm { NH } _ { 3 } ( a q ) \longrightarrow \mathrm { Ni } \left( \mathrm { NH } _ { 3 } \right) _ { 6 } ^ { 2 + } ( a q ) \quad \quad ( 1 ) \\ \mathrm { Ni } ^ { 2 + } ( a q ) + 3 \mathrm { en } ( a q ) \longrightarrow \mathrm { Ni } ( \mathrm { en } ) _ { 3 } ^ { 2 + } ( a q ) \quad \quad (2)$$

where $\mathrm { en } = \mathrm { H } _ { 2 } \mathrm { N } - \mathrm { CH } _ { 2 } - \mathrm { CH } _ { 2 } - \mathrm { NH } _ { 2 }$ The $\Delta H$ values for the two reactions are quite similar, yet $K _ \text { reaction 2 } > K _ \text { reaction 1} .$ Explain.

Write the equivalent fraction.

$$\frac { 4 } { 6 } = \frac { \square } { 18 }$$

Disulfides are compounds that have S - S bonds, like peroxides have O - O bonds. Thiols are organic compounds that have the general formula R - SH, where Ris a generic hydrocarbon. The $SH^-$ ion is the sulfur counterpart of hydroxide, $OH^- .$ Two thiols can react to make a disulfide, R - S - S - R. If you react two thiols to make a disulfide, are you oxidizing or reducing the thiols?

Determine whether the matrix is orthogonal. An invertible square matrix $A$ is orthogonal when $A^{-1} = A^T.$

$$\begin{bmatrix} 0 & 1\\ 1& 0 \end{bmatrix}$$

While admiring a tree, you notice that the leaves form a more or less continuous spherical shell, with relatively few leaves growing in the shell interior. You estimate that the diameter of this shell is about 30 m. Each leaf is about 5 in. long and 3 in. wide. Make an order-of-magnitude estimate of the number of leaves on this tree.