Questions in mathematics

Questions in mathematics

📝 Answered - Vladas believes that an equation with a squared term is never a function of [tex]$x$[/tex]. Which equation can be used to show Vladas that his hypothesis is incorrect? [tex]$x+y^2=25$[/tex] [tex]$x^2-y=25$[/tex] [tex]$x^2+y^2=25$[/tex] [tex]$x^2-y^2=25$[/tex]

📝 Answered - Simplifying each side of the equation results in $x^2-3 x-4=x^2-5 x+6$. Find the solution: $\frac{x+2}{3 x}-\frac{1}{x-2}=\frac{x-3}{3 x}$

📝 Answered - A recent survey of 8,000 high school students found that the mean price of a prom dress was $[tex]$195.00[/tex] with a standard deviation of $[tex]$12.00[/tex]. Alyssa thinks that her school is more fashion conscious and that students spent more than $[tex]$195.00[/tex]. She collected data from 20 people in her high school and found that the average price spent on a prom dress was $[tex]$208.00[/tex]. Which of the following are the correct null hypothesis and alternate hypothesis? A. [tex]$H _0: \mu=195 ; H _{ a }: \mu\ \textgreater \ 195$[/tex] B. [tex]$H_0: \mu \neq 195 ; H_a: \mu=208$[/tex] C. [tex]$H _0: \mu=195 ; H _{ a }: \mu \neq 195$[/tex] D. [tex]$H_0: \mu\ \textless \ 195 ; H_a: \mu \geq 208$[/tex]

📝 Answered - Every morning, a bakery makes wheat bread. The staff bakes 20 loaves before the bakery opens at 7 am and then bakes 10 more loaves every half-hour for the next three hours. If the number of loaves they have finished baking depends on the number of hours that have passed since the bakery opened, what is the range of this relation? * {0,0.5,1,1.5,2,2.5,3} * {20,30,40,50,60,70,80} * {20,25,30,35,40,45,50} * {0,1,2,3,4,5,6}

📝 Answered - What is the sum of the series? [tex]$\sum_{k=1}^{84}(3 k-8)$[/tex]

📝 Answered - What is the expanded form of the series represented below? [tex]S_5=\sum_{k=1}^5[-3+(k-1) 5][/tex] A. [tex]-3+2+7+12+17[/tex] B. [tex]-3+3+8+13+18[/tex] C. [tex]2+7+12+17+22[/tex] D. [tex]5+2+(-1)+(-4)+(-7)[/tex]

📝 Answered - Approximate the number using a calculator. [tex]6^{1.4}[/tex] [tex]6^{1.4} \approx[/tex] $\square$ (Round to three decimal places.)

📝 Answered - Use the power rules for exponents. [tex]$\left(\frac{5}{9}\right)^6 \cdot 5^2$[/tex]

📝 Answered - [tex]\frac{5}{12}-\frac{7}{12}[/tex]

📝 Answered - Given the function, [tex]f(x)=4^{x+2}[/tex], what is the initial value of the function? [tex]f(0)=\square[/tex]