Questions in mathematics

Questions in mathematics

[Free] What is the multiplicative identity of the complex number $-4+8 i$? A. 0 B. 1 C. $-4+8 i$ D. $4-8 i$

[Free] If the point $P\left(-\frac{4}{5}, y\right)$ lies on the unit circle and $P$ is in the third quadrant, what does $y$ equal? A. $\frac{5}{3}$ B. $\frac{3}{5}$ C. $-\frac{3}{4}$ D. $-\frac{3}{5}$

[Free] Divide $6 / 13$ by $6 / 12$. A) $13 / 12$ B) $9 / 16$ C) $12 / 13$ D) $1 / 12$

[Free] Solve for $x$. $3500=700 \cdot 2^{8 x}$ Check all that apply. A. $x=\frac{\ln (5)}{8 \cdot \ln (2)}$ B. $x=\frac{\log (5)}{8}$ C. $x=\frac{\log (5)}{8 \cdot \log (2)}$ D. $x=\frac{\ln (8)}{5}

[Free] What is the correct order of steps to find the equation in slope intercept form when you know the slope is -3 and a point on the line is $(1,-2)$? [tex] \begin{array}{l} y=-3 x+1 \\ y-(-2)=-3(x-1) \\ y+2=-3 x+3 \end{array} [/tex]

[Free] What are the $x$- and $y$-coordinates of point P on the directed line segment from K to J such that P is $\frac{3}{5}$ the length of the line segment from K to J? $\begin{array}{l}< x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1 \\ y=\left(\frac{m}{m+n}\right)\left(y_2-y_1\right)+y_1 \end{array}$ A. $(40,96)$ B. $(85,105)$ C. $(80,104)$ D. $(96,72)$

[Free] Which equation shows the commutative property of addition? [tex]$4+3=3+4$[/tex] [tex]$1(3)=3$[/tex] [tex]$(2+7)+12=2+(7+12)$[/tex] [tex]$4+0=4$[/tex]

[Free] What are the quotient and remainder when $5 x^4-2 x^2$ is divided by $x^3-x^2+1$? The quotient is $\square$ and the remainder is $\square$.

[Free] What multiplication problem is represented by the following model? [Fraction model image] $\frac{1}{4} \times \frac{1}{4}=\frac{1}{16}$ $\frac{1}{4} \times \frac{3}{4}=\frac{3}{8}$ $\frac{3}{4} \times \frac{2}{3}=\frac{6}{12}$ $\frac{3}{4} \times \frac{3}{4}=\frac{9}{16}$

[Free] In an effort to reduce the number of hospital-acquired conditions (such as infection resulting from the hospital stay), Medicare officials score hospitals on a 10-point scale with a lower score representing a better patient track record. The federal government reduces Medicare payments to those hospitals with the worst scores. The following data represent the scores received by a set of Illinois hospitals. Complete parts (a) through (d). (a) Determine the probability that a randomly selected hospital in Illinois has a score between 5 and 5.9. [tex]P (5-5.9)=0.182[/tex] (Round to three decimal places as needed.) (b) Determine the probability that a randomly selected hospital in Illinois has a score that is not between 5 and 5.9. [tex]P (not 5-5.9) =0.818[/tex] (Round to three decimal places as needed.) (c) Determine the probability that a randomly selected hospital in Illinois has a score less than 9. [tex]P (less than 9) =[/tex] (Round to three decimal places as needed.) Hospital Scores | Score | Frequency | | :------ | :-------- | | 1-1.9 | 3 | | 2-2.9 | 12 | | 3-3.9 | 23 | | 4-4.9 | 22 | | 5-5.9 | 20 | | 6-6.9 | 17 | | 7-7.9 | 4 | | 8-8.9 | 4 | | 9-10 | 16 | | Total | 121 |