HRS - Ask. Learn. Share Knowledge. Logo

Questions in mathematics

[Done] Choose the correct answer. Speed of Plane A = 450 mph. Speed of Plane B = 350 mph. Both planes leave from Kansas City at the same time. Plane A flies due West. Plane B flies due South. After 2.5 hours, how far is Plane A from Plane B? $\square$ miles.

[Done] A line intersects the points $(8,2)$ and $(12,-10)$. What is the slope of this line in simplest form? $m=[?]$

[Done] Evaluate the logarithm. Round your answer to the nearest thousandth. [tex]2 \log _3\left(\frac{1}{52}\right) \approx[/tex]

[Done] Which function has the greatest [tex]$x$[/tex]-intercept? [tex]$f(x)=3 x-9$[/tex] [tex]$g(x)=|x+3|$[/tex] [tex]$h(x)=2^x-16$[/tex] [tex]$j(x)=-5(x-2)^2$[/tex]

[Done] Simplify the following: $\left(-3 p^4\right)\left(2 p^3\right)\left(p^2\right) = $

[Done] Change to kilometers. 1. [tex]$\begin{tabular}{r} $6 m \quad 83 c m$ \ $\quad 9 m \quad 58 c m$ \ \hline \end{tabular}$[/tex] 2. [tex]$\begin{tabular}{r} 6 m 82 cm \ $\quad 7 m 39 cm$ \ \hline \end{tabular}$[/tex] 3. [tex]$\begin{tabular}{r} 7 m 94 cm \ 8 m 49 cm \ $\quad 2 m 65 cm$ \ \hline \end{tabular}$[/tex] 4. [tex]$\begin{tabular}{r} 5 m 31 cm \ 6 m 22 cm \ +3 m 69 cm \ \hline \end{tabular}$[/tex] 5. [tex]$12 km 787 m+23 km 264 m=$ $\square$[/tex] 6. [tex]$2 k m 525 m+17 k m 90 m+5 k m 102 m=$ $\square$[/tex] 7. [tex]$18.46 m-12.88 m=$ $\square$[/tex] 8. [tex]$5.426 km-1.778 km=$ $\square$[/tex]

[Done] Select the correct answer. This is the formula for the volume of a right square pyramid, where $a$ is the side length of the base and $h$ is the height: [tex]$V=\frac{1}{3} a^2 h$[/tex] Which equation correctly rewrites the formula to solve for $h$? A. [tex]$h=\frac{3 V}{a^2}$[/tex] B. [tex]$h=\frac{V a^2}{3}$[/tex] C. [tex]$h=\frac{3 V^2}{a}$[/tex] D. [tex]$h=3 V a^2$[/tex]

[Done] In the polynomial expansion of (x + y)^5, what is the coefficient of the x^2y^3 term? A. 1 B. 4 C. 6 D. 10 E. 15

[Done] A parabola can be represented by the equation [tex]$x^2=-ny$[/tex]. What are the coordinates of the focus of the parabola? A. [tex]$(-5,0)$[/tex] B. [tex]$(5,0)$[/tex] C. [tex]$(0,5)$[/tex] D. [tex]$(0,-5)$[/tex]

[Done] Two hundred thirty-two of the 358 high school students surveyed at a local school say they plan on taking some form of postsecondary education. Calculate the margin of error (ME), rounded to the nearest tenth of a percent. Is it reasonable that the state education department claims the percentage for the entire state is 68%? Justify your answer. Hint: [tex]ME= \pm 2 \cdot \sqrt{\frac{\hat{p}(1-\hat{p})}{N}}[/tex], where [tex]$\hat{p}$[/tex] is the yes proportion in the sample and [tex]$N$[/tex] is the sample size A. No, it is not reasonable because the ME is 5.0% and the population proportion of 65% falls outside the sample interval of 73.3% \pm 5.0% B. Yes, it is reasonable because the ME is 5.0% and the population proportion of 68% falls within the sample interval of 64.8% \pm 5.0% C. Yes, it is reasonable because the ME is 6.3% and the population proportion of 68% falls within the sample interval of 64.8% \pm 6.3% D. No, it is not reasonable because the Me is 2.5% and the population proportion of 68% falls outside the sample interval of 64.8% \pm 2.5%