Questions in mathematics

Questions in mathematics

📝 Answered - At the beginning of the month a store had a balance of $-\$554$. During the month the store lost another $\$600$. What is the current balance? A) $\$1,154$ B) $-\$600$ C) $-\$1,000$ D) $-\$1.154$

📝 Answered - How many centigrams are in 0.25 grams? 0.25 g = [?] cg

📝 Answered - Let $f(x)=\left\{\begin{array}{lll}4 x-2 & \text { if } & x<4 \\ \frac{1}{x+4} & \text { if } & x \geq 4\end{array}\right. Show that $f(x)$ has a jump discontinuity at $x=4$ by calculating the limits from the left and right at $x=4$. $\begin{array}{l} \lim _{x \rightarrow 4^{-}} f(x)= \\ \lim _{x \rightarrow 4^{+}} f(x)= \end{array}$ Now for fun, try to graph $f(x)$.

📝 Answered - a. If 2 is added to the numerator and denominator of a fraction, it becomes [tex]$\frac{9}{10}$[/tex] and if 3 is subtracted from the same numerator and denominator, it becomes [tex]$\frac{4}{5}$[/tex]. Find the fraction. b. Write [tex]$1011.101_2$[/tex] as base 10 number.

📝 Answered - \(a+\frac{1}{a^2}\)^2+\left(a-\frac{1}{a}\right)^2

📝 Answered - Solve for $t$. $e^{-0.79 t}=0.13$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $t=$ $\square$ (Type an integer or a decimal. Do not round until the final answer. Then round to three decimal places as needed. Use a comma to separate answers as needed.) B. The solution is not a real number.

📝 Answered - Select the correct answer. Which equation is correctly rewritten to solve for $x$? $-f x-g=h$ A. $x=\frac{g-h}{-f}$ B. $x=\frac{h+g}{-f}$ C. $x=\frac{h-g}{-f}$ D. $x=\frac{h+g}{f}$

📝 Answered - $\begin{array}{c}10^x+5=60 \\ x=[?]\end{array}$

📝 Answered - A parabola can be represented by the equation $y^2=-x$. What are the coordinates of the focus and the equation of the directrix? A. focus: $\left(-\frac{1}{4}, 0\right)$; directrix: $x=\frac{1}{4}$ B. focus: $\left(\frac{1}{4}, 0\right)$; directrix: $x=-\frac{1}{4}$ C. focus: $(-4,0)$; directrix: $x=4$ D. focus: $(4,0)$; directrix: $x=-4$

📝 Answered - What is the radius of a circle whose equation is $(x+5)^2+(y-3)^2=4^2$? A. 2 units B. 4 units C. 8 units D. 16 units