Questions in mathematics

Questions in mathematics

📝 Answered - The applicants to a university were surveyed about their planned living arrangements for the coming year. The results of the survey are in the frequency table below. | | On-Campus | Off-Campus | Total | | :-------------------- | :-------- | :--------- | :---- | | Transfer Applicants | 38 | 66 | 104 | | Freshman Applicants | 85 | 52 | 137 | | Total | 123 | 118 | 241 | What is the probability that an applicant planning to stay off-campus is a transfer applicant? A. 0.525 B. 0.635 C. 0.490 D. 0.559

📝 Answered - Which statement is true about the function f(x) = √x? A. The domain of the graph is all real numbers. B. The range of the graph is all real numbers. C. The domain of the graph is all real numbers less than or equal to 0. D. The range of the graph is all real numbers less than or equal to 0.

📝 Answered - The height in feet, [tex]$h$[/tex], of a model rocket [tex]$t$[/tex] seconds after launch is given by the equation [tex]$h(t)=3+70 t-16 t^2$[/tex]. The average rate of change in [tex]$h(t)$[/tex] between [tex]$t=1$[/tex] second and [tex]$t=3$[/tex] second is 6. What does the average rate of change tell you about the rocket? A. The rocket is traveling six times as fast when [tex]$t=3$[/tex] than it is when [tex]$t=1$[/tex]. B. The rocket is at a greater height when [tex]$t=3$[/tex] than it is when [tex]$t=1$[/tex]. C. The rocket is 6 feet higher above the ground when [tex]$t=3$[/tex] than it is when [tex]$t=1$[/tex]. D. The rocket is traveling at a constant rate of 6 feet per second between [tex]$t=1$[/tex] and [tex]$t=3$[/tex].

📝 Answered - An inscribed angle is an angle formed by two radii that share an endpoint. A. True B. False

📝 Answered - What is the domain of [tex]$f(x)=\cos (x)$[/tex]? A. the set of real numbers [tex]$-2 \pi \leq x \leq 2 \pi$[/tex] B. the set of real numbers [tex]$-1 \leq x \leq 1$[/tex] C. the set of real numbers [tex]$0 \leq x \leq 2 \pi$[/tex] D. the set of all real numbers

📝 Answered - $\frac{9 \frac{1}{3} \times 27 \frac{1}{2}}{3 \frac{-1}{6} \times 3 \frac{1}{3}}$ 2) $\left(\frac{81}{16}\right)^{-\frac{3}{4}} \times\left(\frac{25}{9}\right)^{-\frac{3}{2}}$

📝 Answered - Which expression has the greatest value? $(15-1)^0$ $(1+2)^3$ $(2 \times 4)^1$ $(5-2)^2$

📝 Answered - Find the remaining five trigonometric functions of [tex]\theta[/tex]. [tex]\sin \theta=\frac{2}{3}, \theta \text { in quadrant II }[/tex] Complete the following table. [tex]\begin{array}{ll}< \sin \theta=\frac{2}{3} & \csc \theta=\square \\ \cos \theta=\square & \sec \theta=\square \\ \tan \theta=\square & \cot \theta=\square \end{array}[/tex]

📝 Answered - Factor the trigonometric expression. [tex](\sin x-\csc x)^2-(\sin x+\csc x)^2 = [/tex] $\square$ (Simplify your answer.)

📝 Answered - Find the zeros of the function [tex]x^3+(3+\sqrt{2}) x^2+4 x+6.7[/tex] whose graph is given below. Round your answer to four decimal places. Select one: a. -6.7703 b. -3.8265 c. -2.6267 d. -0.9309 e. -4.9423