Unit 1 Quiz

Correct: A ($1254.00)

Standard = $28.50 \times 38 = 1083$. Overtime = $28.50 \times 1.5 \times 4 = 171$. Total = $1254$.

Correct: B ($200.00)

$220 \div 1.10 = 200$.

Correct: A ($5600)

$I = Prt = 5000 \times 0.04 \times 3 = 600$. $A = 5000 + 600 = 5600$.

Correct: A ($x^2$)

$x^5 \times x^{-3} = x^{5+(-3)} = x^2$.

Correct: A ($\frac{1}{64}$)

$(2^3)^{-2} = 2^{-6} = \frac{1}{2^6} = \frac{1}{64}$.

Correct: B ($5.6 \times 10^{-5}$)

Move decimal 5 places right: $0.000056 = 5.6 \times 10^{-5}$.

Correct: A ($6\sqrt{2}$)

$\sqrt{72} = \sqrt{36 \times 2} = 6\sqrt{2}$.

Correct: A ($\sqrt{5}$)

$\frac{5}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} = \frac{5\sqrt{5}}{5} = \sqrt{5}$.

Correct: B ($60 + 4.5\pi$ m$^2$)

Rectangle = $60$ m$^2$. Semicircle radius = $3$ m, area = $\frac{1}{2}\pi(3)^2 = 4.5\pi$ m$^2$.

Correct: B (202 cm$^2$)

$SA = 2(9 \times 5 + 9 \times 4 + 5 \times 4) = 2(45 + 36 + 20) = 2 \times 101 = 202$ cm$^2$.

Correct: B ($130\pi$ cm$^2$)

$CSA = 2\pi(5)(8) = 80\pi$. Two bases = $2\pi(5)^2 = 50\pi$. Total = $130\pi$.

Correct: A ($96\pi$ cm$^3$)

$V = \frac{1}{3}\pi(6)^2(8) = 96\pi$ cm$^3$.

Correct: A (3 cm)

$V = \frac{4}{3}\pi r^3 = \frac{4}{3}\pi(27)$, so $r^3 = 27$ and $r = 3$.

Correct: A ($500\pi$ L)

$r = 0.5$ m. $V = \pi(0.5)^2(2) = 0.5\pi$ m$^3$ = $500\pi$ L.

Correct: A (2)

$8^{1/3} = \sqrt[3]{8} = 2$.