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Questions in Grade College

[Done] Select the correct answer. Which expression is equivalent to the given expression? [tex]$8 \sqrt{6}$[/tex] A. [tex]$\sqrt{48}$[/tex] B. [tex]$\sqrt{96}$[/tex] C. [tex]$\sqrt{576}$[/tex] D. [tex]$\sqrt{384}$[/tex]

[Done] Solve for $x$ in the equation $6x=42$. A. $x=48$ B. $x=7$ C. $x=36$ D. $x=6

[Done] What is the radius of a circle whose equation is $(x+5)^2+(y-3)^2=4^2$? A. 2 units B. 4 units C. 8 units D. 16 units

[Done] "Freezing-up" or being unable to move or respond physically during a traumatic event is an example of: A. incapacitation due to alcohol B. trauma-induced paralysis C. emotional mood swings D. none of the above

[Done] Based on the market attractiveness/competitive position matrix, which of the following strategies should a firm consider when the market attractiveness is low and the competitive position is strong? A. It should build selectively on strengths and invest to improve position only in areas where risk is low. B. It should emphasize profitability by increasing productivity and build up ability to counter competition. C. It should protect current strengths of the firm and seek ways to increase current earnings without speeding market's decline D. It should invest more to grow at a maximum rate and concentrate on maintaining strength.

[Done] The mean weight of a pair of shoes is 575.00 g with a standard deviation of 32.00 g. The mean weight of an empty shoe box for a pair of shoes is 68.00 g with a standard deviation of 9.10 g. What are the mean and standard deviation of the weight of a shoe box with a pair of shoes inside? Mean = $\square$ S.D. = $\square$ Round to the nearest hundredth.

[Done] Which of the following should you avoid when a child confides to you about abuse? Select all that apply. A. Promise the child that you will not tell anyone. B. Panic C. Provide any immediate help you can offer the child to ensure safety. D. Share the information with the perpetrator.

[Done] 8. Given $g(x)=x^3$ and $h(x)=x+1$, find $(g \circ h)(-2)$. A. 1 B. -1 C. 2 D. -2 9. If $f(x)=x^2-1$ and $g(x)=\sqrt{x}+1$. Find $(f \circ g)(x)$ A. $x+2 \sqrt{x}$ B. $x^2$ C. 2 D. $\sqrt{x}-1$. 10. If $f(x)=10 x-5$ and $g(x)=x+3$, find $(f \circ g)(x)$. A. $10 x+25$ B. $20 x-5$ C. $10 x-25$ D. $2 x-25$. 11. Given $f(x)=3 x^2$ and $g(x)=1+2 x$ with $x \in R$, then $(f \circ g)(0)$ is A. 3 B. 0 C. 1 D. 2. 12. If $f: X \rightarrow Y$ is such that $f(X)=Y$, then $f$ is ? A. undefine B. onto C. bijective D. one-to-one

[Done] Jim and Stephanie just got married and are thinking about changing their health care insurance plans to be more affordable. Currently, both Jim and Stephanie are insured through their own employers. Jim's employer pays $42 \%$ of his $[tex]$378$[/tex] monthly premium. His insurance plan will also pay for $23 \%$ of the $[tex]$345$[/tex] premium for additional beneficiaries. Stephanie's employer pays $35 \%$ of her $[tex]$298$[/tex] monthly premium but offers to pay an extra $10 \%$ of her premium for each beneficiary Stephanie adds to her plan. Her employer would then pay $30 \%$ of the $[tex]$349$[/tex] premium for each additional beneficiary. Insurance Jim's Employer Beneficiary Monthly Premium Employer Contribution Jim [tex]$378$[/tex] 42\% Additional (each) [tex]$345$[/tex] 23\% Stephanie's Employer Beneficiary Monthly Premium Employer Contribution Stephanie [tex]$298$[/tex] 35\% (+10\% for each additional beneficiary) Additional (each) [tex]$349$[/tex] 30\%

[Done] Solve the logarithmic equation. Be sure to reject any value of [tex]$x$[/tex] that is not in the domain of the original logarithmic expression. [tex]$7 \ln (7 x)=28$[/tex]