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Questions in Grade High-school

[Answered] Simplify. [tex]$13=\frac{4}{3}(x+3)$[/tex]

[Answered] Subtract. For the answer: simplify the numerator, but write the denominator in factored form. $\frac{15}{x-2}-\frac{5}{x}=\square$

[Answered] Collect data: Beginning with Na, record the number of energy levels, number of protons, and atomic radius for each element in period 3. | Element | Na | Mg | Al | Si | P | S | Cl | Ar | |---|---|---|---|---|---|---|---| | Number of energy levels | | | | | | | | | Number of protons | | | | | | | | | Atomic radius (pm) | | | | | | | |

[Answered] What are the possible rational roots of the polynomial equation? [tex]0=3 x^8+11 x^5+4 x+6[/tex] List the values into the box to correctly state all possible rational roots of the equation. Possible rational roots: [tex]\pm \frac{1}{6}[/tex] [tex]\pm \frac{1}{3}[/tex] [tex]\pm \frac{1}{2}[/tex] [tex]\pm \frac{2}{3}[/tex] [tex]\pm 1[/tex] [tex]\pm \frac{3}{2}[/tex] [tex]\pm 2[/tex] [tex]\pm 3[/tex] [tex]\pm 6[/tex]

[Answered] Select the equivalent expression. $\sqrt[8]{\frac{1}{z^2 \cdot z^8}}$

[Answered] Solve for $b$. $22=\frac{b}{2}-2$

[Answered] Baskya tracked the number of bracelets she made each day. Does the table below show a proportional relationship between days of work and bracelets made? | Days | 2 | 6 | 18 | | ------ | -- | -- | -- | | Bracelets | 30 | 90 | 150| a) Yes, the relationship is proportional because the number of days increased by a multiple of 3 from term to term and the bracelets increased by 60 from term to term. b) Yes, the relationship is proportional because the multiplicative factor between days and bracelets is 15 for the first two terms. c) No, the relationship is not proportional because the unit rate is not provided. d) No, the relationship is not proportional because the multiplicative factor between days and bracelets changes from the 1st and 2nd terms to the 3rd term (from 15 to 15 to $8 \frac{1}{3}$ ).

[Answered] Select the correct answer. The maximum occupancy of a concert hall is 1,200 people. The hall is hosting a concert, and 175 people enter as soon as the doors open in the morning. The number of people coming into the hall then increases at a rate of $30 \%$ per hour. If $t$ represents the number of hours since the door, which inequality can be used to determine the number of hours after which the amount of people in the concert hall will exceed the occupancy? A. $175(1.03)^t>1,200$ B. $175(1.30)^t>1,200$ C. $175(0.30)^t<1,200$ D. $175(0.70)^t<1,200$

[Answered] Solve the equation for $x$. $4 x+2=4(x+3)$

[Answered] \frac{\frac{1}{1-1}}{\frac{1+1}{2 \frac{1}{\frac{1}{6}+\frac{1}{3}}}}=