Questions in mathematics

Questions in mathematics

[Free] What is $\log _6 e^f$ rewritten using the power property? A. $e \log _6 f$ B. $f \log _6 e$ C. $\log _6(e \cdot f)$ D. $\log _c(e+f)$

[Free] Multiply $\begin{array}{r} 540.3 \ \times 0.032 \ \hline \end{array}$

[Free] What is the sum of [tex]37 / 8+25 / 16+3 / 16[/tex] reduced to the lowest denominator? A. [tex]6^{3 / 8}[/tex] B. [tex]6 \frac{1}{2}[/tex] C. [tex]6^{3 / 4}[/tex] D. [tex]6 \frac{6}{16}[/tex]

[Free] Factor. [tex]25 b^2+29 b+9[/tex]

[Free] Pearl has a credit card that uses the adjusted balance method. For the first 10 days of one of her 30-day billing cycles, her balance was $1120. She then made a purchase for $340, so her balance jumped to $1460, and it remained that amount for the next 10 days. Pearl then made a payment of $580, so her balance for the last 10 days of the billing cycle was $880. If her credit card's APR is 27%, which of these expressions could be used to calculate the amount Pearl was charged in interest for the billing cycle? A. [tex]\left(\frac{0.27}{365} \cdot 30\right)\left(\frac{10 \cdot \$ 1120+10 \cdot \$ 1460+10 \cdot \$ 580}{30}\right)[/tex] B. [tex]\left(\frac{0.27}{365} \cdot 30\right)\left(\frac{10 \cdot \$ 1120+10 \cdot \$ 1460+10 \cdot \$ 880}{30}\right)[/tex] C. [tex]\left(\frac{0.27}{365} \cdot 30\right)(\$ 1120)[/tex] D. [tex]\left(\frac{0.27}{365} \cdot 30\right)(\$ 540)[/tex]

[Free] Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation: [tex]$y=-2 x^2+7 x+4$[/tex] a. [tex]$(1.75,-2.125)$[/tex] b. [tex]$(1.75,4)$[/tex] c. [tex]$(1.75,10.125)$[/tex] d. [tex]$(-1.75,10.125)$[/tex] Please select the best answer from the choices provided

[Free] Find [tex]\( \frac{5}{7} + \frac{-6}{11} + \frac{-8}{21} + \frac{22}{77} \)[/tex]

[Free] 4. [tex]\(\int \frac{(1-\sqrt{x})^2}{\sqrt{x}} \, dx\)[/tex] 5. [tex]\(\int \left(\frac{3}{\sqrt[3]{x}} - \sqrt{x} + \pi\right) \, dx\)[/tex] 6. [tex]\(\int \frac{x^2 + 5x + 6}{x+3} \, dx\)[/tex] 7. [tex]\(\int \frac{1}{x} \, dx\)[/tex] 8. [tex]\(\int \frac{1}{3x^3} \, dx\)[/tex]

[Free] What are the $x$- and $y$-coordinates of point P on the directed line segment from $A$ to $B$ such that $P$ is $\frac{2}{3}$ the length of the line segment from $A$ to $B$? [tex]x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1[/tex] [tex]v=\left(\frac{m}{m+n}\right)\left(v_2-v_1\right)+v_1[/tex] $A(2,-1)$ $B(4,-3)$ A. $(-1,2)$ B. $(3,-2)$

[Free] Simplify the expression: $-(x^2)^3 \cdot x^3$