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Questions in mathematics

[Done] Select the expression that is equivalent to [tex]$\frac{1}{\left(3 x^2+5\right)^{-\frac{5}{2}}}$[/tex] Answer [tex]$\frac{1}{\sqrt{\left(3 x^2+5\right)^5}}$[/tex] [tex]$\sqrt[5]{\left(3 x^2+5\right)^2}$[/tex] [tex]$\frac{1}{\sqrt[5]{\left(3 x^2+5\right)^2}}$[/tex] [tex]$\sqrt{\left(3 x^2+5\right)^5}$[/tex]

[Done] The Long family spent $38.62 for school supplies and $215.78 for new school clothes. They paid [tex]6 \frac{4}{5}[/tex]% sales tax on their purchases. If the Long family paid $269.07 total, determine if they paid the correct amount. A. The Long family paid $2.63 too little for their purchases. B. The Long family paid the correct amount for their purchases. C. The Long family paid $1.61 too much for their purchases. D. The Long family paid $2.63 too much for their purchases.

[Done] Calculate $\sqrt{62}$ correct to 2 significant figures.

[Done] $\int \frac{x^9}{1+x^{20}} d x$

[Done] \frac{x}{4}=\frac{9}{6}

[Done] Subtract the sum of [tex]$6 m+5 n-7 p^2$[/tex] and [tex]$6 p^2- 2 m+n$[/tex] from the sum of [tex]$2 m+3 n-10 p^2$[/tex] and [tex]$-m-2 n -3 p^2$[/tex].

[Done] Complete the synthetic division to find the quotient of [tex]$3 x^3-25 x^2+12 x-32$[/tex] and [tex]$x-8$[/tex]. Drag the numbers to the correct locations on the image. Not all numbers will be used. 8 32 -8 0 24 4

[Done] What is a formula for the nth term of the given sequence? [tex]$100,20,4 \ldots$[/tex]

[Done] What is the graph of $3 x+5 y=-15$?

[Done] Consider this expression: $-4 x^2+2 x-5(1+x)$. What expression is equivalent to the given expression? $\square$ $x ^2+$ $\square$ $x+$ $\square$ Type the correct answer in each box. Use numerals instead of words.