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Questions in Grade College

[Done] \(\ln \frac{2 a}{b}=\)

[Done] After an enhancement service, you should wipe the dappen dish clean with: A. warm soapy water B. hydrogen peroxide C. acetone D. hot running water

[Done] Add these two fractions: [tex]$\frac{1}{3}+\frac{1}{2}=?$[/tex]

[Done] Now consider the product of a nonzero rational number and an irrational number. Again, assume [tex]x=\frac{a}{b}[/tex], where [tex]a[/tex] and [tex]b[/tex] are integers and [tex]b \neq 0[/tex]. This time let [tex]y[/tex] be an irrational number. If we assume the product [tex]x \cdot y[/tex] is rational, we can set the product equal to [tex]\frac{m}{n}[/tex], where [tex]m[/tex] and [tex]n[/tex] are integers and [tex]n \neq 0[/tex]. The steps for solving this equation for [tex]y[/tex] are shown. Based on what we established about the classification of [tex]y[/tex] and using the closure of integers, what does the equation tell you about the type of number [tex]y[/tex] must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number?

[Done] Find the angle of rotational symmetry for a regular pentagon.

[Done] Which compounding term results in the most number of times that the interest is calculated in a year? A. monthly B. quarterly C. semiannual D. annual

[Done] Listen. The fuel efficiency of a car decreases as tire pressure decreases. What's the independent variable in the situation? A) Fuel efficiency B) The price per gallon of gas C) The speed of the car D) Tire pressure

[Done] If [tex]$a^{1 / n}=r$[/tex], then which of the following are true statements? Check all that apply. A. [tex]$r^n=a$[/tex] B. [tex]$\sqrt[n]{a}=r$[/tex] C. [tex]$n^{1 / r}=a$[/tex] D. [tex]$a^r=n$[/tex]

[Done] A hypergeometric experiment is conducted with the given parameters. Compute the probability of the random variable X. [tex]$N=120, n=23, k=25, X=7$[/tex] [tex]$P ( x ) \approx$[/tex] (Round to four decimal places as needed.)

[Done] Which part of the brain displays rhythmic spiking during sexual orgasm and is one of the brain regions that rats will most reliably voluntarily self-stimulate? A. hypothalamus B. preoptic area C. septal nucleus D. amygdala