Questions in mathematics

Questions in mathematics

📝 Answered - [tex]\tan x(\csc x-\cot x)=[/tex] (Simplify your answer.)

📝 Answered - $-6(-8 x+5 y+3 z)$ Apply the distributive property. $-6(-8 x+5 y+3 z)=-6(-8 x)+\square(5 y)+\square(3 z)$

📝 Answered - Given that [tex]a \cdot b = a ^2( b + 2 )[/tex], find the value of [tex]3 \cdot 2[/tex] by substitution. A. 36 B. 30 C. 25 D. 18

📝 Answered - If $A$ and $B$ are $(-2,-2)$ and $(2,-4)$, respectively, find the coordinates of $P$ such that $AP =\frac{3}{7} AB$ and P lies on the line segment AB.

📝 Answered - What is the solution to the system of equations? [tex]\begin{array}{l} y=-5 x+3 \ y=1 \end{array}[/tex] A. (0.4,1) B. (0.8,1) C. (1,0.4) D. (1,0.8)

📝 Answered - The formula for the volume of a cylinder is [tex]$V=\pi r^2 h$[/tex]. Solve [tex]$V=\pi r^2 h$[/tex] for [tex]$h$[/tex], the height of the cylinder. A. [tex]$h=\frac{\pi}{V r^2}$[/tex] B. [tex]$h=\frac{\pi r^2}{V}$[/tex] C. [tex]$h=\frac{\pi V}{r^2}$[/tex] D. [tex]$h=\frac{V}{\pi r^2}$[/tex]

📝 Answered - The School of Sport Sciences (Tutor) Geometry Summer 2025 The volume of an oblique pyramid with a square base is [tex]$V$[/tex] units [tex]$^3$[/tex] and the height is [tex]$h$[/tex] units. Which expression represents the area of the base of the pyramid? A. [tex]$V$[/tex] units [tex]$^2$[/tex] B. [tex]$(3V - h)$[/tex] units [tex]$^2$[/tex] C. [tex]$(V - 3h)$[/tex] units [tex]$^2$[/tex] D. [tex]$\frac{V}{3h}$[/tex] units [tex]$^2$[/tex]

📝 Answered - Select the correct answer. The ratio of adults to students on a class field trip is 2 to 5. If there are 12 more students than adults, which proportion and solution represent this situation? [tex]\frac{2}{5}=\frac{x+12}{x} ; x=20[/tex] [tex]\frac{2}{5}=\frac{x+12}{x} ; x=4[/tex] [tex]\frac{2}{5}=\frac{x}{x+12} ; x=8[/tex] [tex]\frac{2}{5}=\frac{x}{x+12} ; x=4[/tex]

📝 Answered - Find the rational zeros of the polynomial function and write in factored form. [tex]f(x)=2 x^3-3 x^2-5 x+6[/tex] A. [tex]f(x)=(x+1)(x+2)(2 x-3)[/tex] B. [tex]f(x)=(x-1)(x+2)(2 x-3)[/tex] C. [tex]f(x)=(x-1)(x+1) 2(x-3)[/tex] D. [tex]f(x)=(x-1)(x-2)(2 x+3)[/tex]

📝 Answered - A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting an ace or four. (b) Compute the probability of randomly selecting an ace or four or three. (c) Compute the probability of randomly selecting an eight or club. (a) [tex]P(ace \text{ or } four) =[/tex] (b) [tex]P(ace \text{ or } four \text{ or } three) =[/tex] (c) [tex]P(eight \text{ or } club) =[/tex]