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Questions in mathematics

📝 Answered - Find the equation of the line passing through the points $(8,-16)$ and $(1,5)$. y=[?] x+[]

📝 Answered - State whether each of the following mathematical statements is true $(T)$ or false $(F)$. If the statement is true, state the law that was applied. (a) $5+4=5 \times 4$ (b) $7+5=5+7$ (c) $3+(8+6)=(3+8)+6$ (d) $4+7+2=(4+7)+2$ (e) $7 \times 4=4 \times 7$ (f) $2 \times 6=6 \div 2$ (g) $2 \times(3 \times 8)=(2 \times 3) \times 8$ (h) $5 \times(3 \times 4)=5 \times(4+3)$

📝 Answered - Solve the following: $32 \div 4+4 \times 8=$ ? A) 96 B) 42 C) 40 D) 32

📝 Answered - Consider the equation $\frac{5}{3} v+4+\frac{1}{3} v=8$. What is the resulting equation after the first step in the solution? $\frac{5}{3} v+4=8-\frac{1}{3} v$ $\frac{4}{3} v+4=8$ $4+v=8-\frac{5}{3} v$ $2 v+4=8$

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - Use synthetic division and the Remainder Theorem to find the value. [tex]f(x)=x^4-8 x^3+2 x^2+7 x-3 ; f(-4)[/tex]

📝 Answered - Let [tex]$X \sim N(-30.2,6)$[/tex]. Find [tex]$P(X > -32.9)$[/tex]. List the [tex]$z$[/tex]-scores needed to calculate the result. If there is more than one [tex]$z$[/tex]-score, separate the values with a comma. [ ] [tex]$P(X > -32.9)=[/tex] [ ]

📝 Answered - Simplify the following and express your answer in positive index form. $\frac{(a+b)^n}{b c^2} \div \frac{(a+b)^{n+3}}{a b c}$

📝 Answered - Find the determinant of the matrix $\left{\begin{array}{lll}1 & -2 & 3\end{array}\right.$ A) $\begin{array}{ccc} -2 & 1 & 2 \\ -1 & 1 & -1 \end{array}$ Evaluate the integrals $\int_1^4\left(\frac{1}{x-1}+\frac{1}{x^2}+\frac{1}{x^3}\right) d x$

📝 Answered - Select the correct answer. Which factor does the width of the peak of a normal curve depend on? A. standard deviation B. mean C. median D. mode