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Questions in Grade College

[Answered] 1. Simplify $\frac{\left(1 \frac{3}{7}-\frac{5}{8}\right)+\frac{2}{3} \text { of } 1 \frac{1}{5}}{\frac{3}{4}+1 \frac{5}{7} \div \frac{4}{7} \text { of } 2 \frac{1}{3}}$ 2. A straight line $a x+b y=16$ passes through $A(2,5)$ and $B(3,7)$. Find the values of $a$ and b. 3. Simplify $\frac{2-x-x^2}{3 x^2-2 x-1}$ 4. Solve for X where $0 \leq x \leq=90^{\circ}$ $\sin 2 x-\cos (x-30)=0$

[Answered] When solving $2(x+5)=-8$, the property used in the first step is the A. transitive property B. substitution property C. addition property D. distributive property

[Answered] A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario? A. The pool is 1 meter deep. B. The pool is 2 meters deep. C. The toy falls at a rate of at least a [tex]$\frac{1}{2}$[/tex] meter per second. D. The toy sinks at a rate of no more than a [tex]$\frac{1}{2}$[/tex] meter per second.

[Answered] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Answered] Select all the inequality statements that are true. $-5>-3.5$ $-3>-5$ $-6>2$ $2>-6$ $-3.5>-3$ $-3>-3.5$

[Answered] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Answered] Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used. Choose the justification for each step in the solution to the given equation. simplification addition property of equality subtraction property of equality multiplication property of equality division property of equality | Step | Justification | | :----------------------------------------------------------------- | :------------ | | [tex]\frac{17}{3}-\frac{3}{4} x=\frac{1}{2} x+5[/tex] | given | | [tex]\frac{17}{3}-\frac{3}{4} x-\frac{17}{3}=\frac{1}{2} x+5-\frac{17}{3}[/tex] | | | [tex]-\frac{3}{4} x=\frac{1}{2} x-\frac{2}{3}[/tex] | | | [tex]-\frac{3}{4} x-\frac{1}{2} x=\frac{1}{2} x-\frac{2}{3}-\frac{1}{2} x[/tex] | | | [tex]-\frac{5}{4} x=-\frac{2}{3}[/tex] | | | [tex]-\frac{5}{4} x \cdot-\frac{4}{5}=-\frac{2}{3} \cdot-\frac{4}{5}[/tex] | | | [tex]x=\frac{8}{15}[/tex] | |

[Answered] (t) [tex]y=\left(\frac{\sin 2 x}{1+\cos 2 x}\right)^2[/tex]

[Answered] Which values of $a$ and $b$ make the following equation true? $\left(5 x^7 y^2\right)\left(-4 x^4 y^5\right)=-20 x^a y^b$ A. $a=11, b=7$ B. $a=11, b=10$ C. $a=28, b=7$ D. $a=28, b=10$

[Answered] The table below gives the atomic mass and relative abundance values for the three isotopes of element M. | Relative abundance (%) | Atomic mass (amu) | | :---------------------- | :----------------- | | 78.99 | 23.9850 | | 10.00 | 24.9858 | | 11.01 | 25.9826 | What is the average atomic mass (in amu) of element M?