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Questions in Grade College

[Done] Identify the two rational numbers. A. $-\frac{2}{5}$ B. $1.010010001 \ldots$ C. $\sqrt{7}$ D. 1.01

[Done] At the end of Lizzie Bright and the Buckminster Boy, why does Reverend Buckminster side with the Phippsburg townspeople against the people of Malaga Island? A. Mr. Stonecrop describes how much money the island people have taken from the Phippsburg townspeople. B. The reverend finds out that Turner's baseball bat and glove were left on the beach, not the front porch. C. Mr. Stonecrop talks about the people in town who would support those on Malaga Island. D. The reverend learns that Turner went to the island with Lizzie Griffin, an African American girl.

[Done] What is the only rule that could NOT apply when simplifying $\left(-1 x z^2\right)^3\left(x^3\right)^2$? A. negative rule B. product of a power rule C. power of a power rule D. product rule

[Done] Listening during an interview is just as important as talking. Please select the best answer from the choices provided.

[Done] Decide if the following definite article and noun agreement is CORRECT or INCORRECT. el calendario

[Done] Select the correct answer. Which definition best supports the meaning of the word prospectors as used in the passage? A. people looking for minerals B. people as potential customers C. people living in the Klondike D. people with financial expectations

[Done] Consider the incomplete paragraph proof. Given: Isosceles right triangle $X Y Z\left(45^{\circ}-45^{\circ}-90^{\circ}\right.$ triangle) Prove: In a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle, the hypotenuse is $\sqrt{2}$ times the length of each leg. Because triangle $X Y Z$ is a right triangle, the side lengths must satisfy the Pythagorean theorem, $a^2+b^2$ $=c^2$, which in this isosceles triangle becomes $a^2+a^2=c^2$. By combining like terms, $2 a^2=c^2$. Which final step will prove that the length of the hypotenuse, $c$, is $\sqrt{2}$ times the length of each leg? A. Substitute values for $a$ and $c$ into the original Pythagorean theorem equation. B. Divide both sides of the equation by two, then determine the principal square root of both sides of the equation. C. Determine the principal square root of both sides of the equation. D. Divide both sides of the equation by 2.

[Done] a) Give an exact answer for the other function values for [tex]$\theta$[/tex]. [tex]$\cos \theta=-\frac{4 \sqrt{3}}{7}$[/tex] (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) [tex]$\tan \theta=-\frac{\sqrt{3}}{12}$[/tex] [tex]$\cot \theta=-4 \sqrt{3}$[/tex] (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) [tex]$\sec \theta=-\frac{7 \sqrt{3}}{12}$[/tex] [tex]$\csc \theta=7$[/tex] (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) b) Give an exact answer for each of the six function values for [tex]$\frac{\pi}{2}-\theta$[/tex]. [tex]$\sin \left(\frac{\pi}{2}-\theta\right)=\square \cos \left(\frac{\pi}{2}-\theta\right)=\square$[/tex] (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

[Done] Select the equations that contain the point $(-3,5)$. $y=-3 x+5$ $y=-3 x-4$ $y=-x+2$ $y=-x+5$

[Done] The flow rate for water at a pumping station on a given day is [tex]R(t)=-t^2+24 t+100[/tex] ([tex]R[/tex] is the flow rate in thousands of gallons/hour and [tex]t[/tex] is in hours [tex][0,24][/tex]) Find the average flow rate during the course of the day.