Questions in mathematics

Questions in mathematics

📝 Answered - Solve the equation. [tex] \begin{array}{l} 2^{x-3}=16 \\ x=[?] \end{array} [/tex]

📝 Answered - Which explains how to find the radius of a circle whose equation is in the form $x^2+y^2=z$? A. The radius is the constant term, $z$. B. The radius is the constant term, $z$, divided by 2. C. The radius is the square root of the constant term, $z$. D. The radius is the square of the constant term, $z$.

📝 Answered - Use the remainder theorem to find [tex]$P(k)$[/tex]. [tex]$k=-3 ; P(x)=4 x^3-5 x^2-3 x+11$[/tex]

📝 Answered - Find the value of each expression in lowest terms. 1. $2 \frac{1}{5}+1 \frac{3}{4}$ 2. $3 \frac{1}{2}-2 \frac{2}{3}$ 3. $3 \frac{1}{2} - (\frac{1}{2})$ 4. $1 \frac{1}{2}+2 \frac{3}{3}$ 5. $3 \frac{1}{2}-2 \frac{5}{9}$ 6. $5 \frac{1}{2}+5 \frac{1}{4}$

📝 Answered - Let $Z \sim N(0,1)$. Find $a$ so that $P(Z < a) = 0.90$. $a=$

📝 Answered - Which line is perpendicular to a line that has a slope of $-\frac{5}{6}$? line JK line LM line NO line PQ

📝 Answered - John wants to buy a $800000 house. He paid a deposit in cash and takes out a loan for the remaining balance. The loan is to be repaid with equal monthly installments over a period of 20 years. The interest is 10.25% p.a. compounded monthly. Calculate the deposit amount.

📝 Answered - What is the solution of [tex]log _3(3 x+2)-log _3(4 x-6) = 0$[/tex]?

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

📝 Answered - Convert the following number into correct scientific notation. [tex] 78.3 \times 10^{11} {[] \times 10^{[]}} [/tex] Enter the coefficient in the green box and the exponent in the yellow box.