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Questions in mathematics
[Done] Generally, we start adding digits from the left side (first we add the digits in the hundreds place, then tens place and so on). Suppose, in the two given problems, you start adding digits from the left side, then in which problem will you get the correct summation? Problem 1 231 +342 Left Right Problem 2 161 +354 Left Right (A) Only in problem 1 (B) Only in problem 2 (C) In both problem 1 and 2 (D) None Answer:
[Done] Write $y=2 x^2-12 x+16$ in vertex form. A. $y=2(x-3)^2-2$ B. $y=-6(x+9)^2-2$ C. $y=(x-3)^2+16$ D. $y=2(x-12)^2+16$
[Done] Select the correct answer. Points $B$ and $C$ lie on a circle with center $O$ and a radius of 15 units. If the length of arc $B C$ is $21 \pi$ units, what is $m \angle B O C$ in radians? A. $1.2 \pi$ B. $\frac{3}{5} \pi$ C. $\frac{7}{5} \pi$ D. $0.7 \pi$
[Done] Date itive exponents. 2) $\frac{3}{3^3}$
[Done] What is the center of a circle whose equation is $x^2+y^2-12 x-2 y+12=0 ?$ A. $(-12,-2)$ B. $(-6,-1)$ C. $(6,1)$ D. $(12,2)$
[Done] What is the end behavior of the graph of the polynomial function [tex]$y=10 x^9-4 x$[/tex]? A. As [tex]$x \rightarrow-\infty, y \rightarrow \infty$[/tex] and as [tex]$x \rightarrow \infty, y \rightarrow \infty$[/tex] B. As [tex]$x \rightarrow-\infty, y \rightarrow \infty$[/tex] and as [tex]$x \rightarrow \infty, y \rightarrow-\infty$[/tex]. C. As [tex]$x \rightarrow-\infty, y \rightarrow-\infty$[/tex] and as [tex]$x \rightarrow \infty, y \rightarrow \infty$[/tex]. D. As [tex]$x \rightarrow-\infty, y \rightarrow-\infty$[/tex] and as [tex]$x \rightarrow \infty, y \rightarrow-\infty$[/tex].
[Done] 25. [tex]$z$[/tex] varies inversely with [tex]$x$[/tex] and directly with [tex]$y$[/tex]. When [tex]$x=6$[/tex] and [tex]$y=2, z=5$[/tex]. What is the value of [tex]$z$[/tex] when [tex]$x=4$[/tex] and [tex]$y=9$[/tex]?
[Done] Colby and Danielle clean pools for extra money over the summer. Colby's income is determined by [tex]f(x)=3 x+12$[/tex], where [tex]$x$[/tex] is the number of hours. Danielle's income is [tex]$g ( x )=5 x +10$[/tex]. If Colby and Danielle were to combine their efforts, their income would be [tex]$h ( x )= f ( x )+ g ( x )$[/tex]. Assume Colby works 4 hours. Create the function [tex]$h ( x )$[/tex], and indicate if Colby will make more money working alone or by teaming with Danielle. A. [tex]$h(x)=2 x+2$[/tex], team with Danielle B. [tex]$h(x)=8 x+22$[/tex], work alone C. [tex]$h(x)=2 x+2$[/tex], work alone D. [tex]$h(x)=8 x+22$[/tex], team with Danielle
[Done] Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. [tex]\begin{tabular}{|c|c|} \hline \begin{tabular}{c} Number of \\ snapdragons, $x$ \end{tabular} & \begin{tabular}{c} Number of \\ daisies, $y$ \end{tabular} \\ \hline 11 & 34 \\ \hline 12 & 33 \\ \hline 13 & 32 \\ \hline 14 & 31 \\ \hline \end{tabular}[/tex] If Hans plants 29 daisies, how many snapdragons will he plant? The equation $\square$ models the scenario. Hans will plant $\square$ snapdragons.
[Done] To win a contest, the number of beans in a jar has to be guessed within 20 of the actual number. If the number of beans in the jar is 645, which equation can be used to find the minimum and maximum number of beans that will win the contest, and what is the maximum guess that could win? A. $|x-645|=20$; maximum guess: 635 beans B. $|x-645|=20$; maximum guess: 665 beans C. $|x-20|=645$; maximum guess: 635 beans D. $|x-20|=645$; maximum guess: 665 beans
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