Questions in mathematics

Questions in mathematics

📝 Answered - The population of a specific type of deep-sea water fish increases by 3% every month. If there are 758 of this type of fish, how many will there be in 8 months? Future Amount $= I (1+r)^{ t }$ [?] fish Round your answer to the nearest whole number.

📝 Answered - For the pair of functions f(x) = √x and g(x) = x - 11, find the following. a. Find the functions f+g, f-g, fg, and f/g. b. Determine the domain of the functions f+g, f-g, fg, and f/g.

📝 Answered - Use the properties of exponents to rewrite the expression. $(-7 x^4 y^4)(-7 x y^4)$ A. $49 x^4 y^{16}$ B. $49 x^5 y^8$ C. $-49 x^5 y^8$ D. $-49 x^4 y^4$

📝 Answered - The $x$-intercept of the graph of $f(x)=3 \log (x-5)+2$ is: A. $10^{-2 / 3}-5$ B. $10^{-2 / 3}+5$ C. $10^{2 / 3}+5$ D. $10^{2 / 3}-5$

📝 Answered - Select all the correct locations on the image. Jennifer is rewriting a polynomial by combining like terms. Which terms does she still need to combine to finish rewriting the polynomial? [tex]4 c^2 d-7 c^2 d^2+3 d^2+c^2 d^2-4 c d^2-c^2[/tex]

📝 Answered - Solve the inequality. Express your answer using interval notation. Graph the solution set. [tex]\frac{x}{3} \geq 3-\frac{x}{9}[/tex]

📝 Answered - Multiply: $(\sqrt{10}+2 \sqrt{8})(\sqrt{10}-2 \sqrt{8})$

📝 Answered - A pack of 54 cards costs $1.08. What is the price per card?

📝 Answered - Ted has a credit card that uses the average daily balance method. For the first 9 days of one of his billing cycles, his balance was $[tex]$2030$[/tex], and for the last 21 days of the billing cycle, his balance was $[tex]$1450$[/tex]. If his credit card's APR is [tex]$23 \%$[/tex], which of these expressions could be used to calculate the amount Ted was charged in interest for the billing cycle? A. [tex]$\left(\frac{0.23}{365} \cdot 30\right)\left(\frac{9 \cdot \$ 2030+21 \cdot \$ 1450}{30}\right)$[/tex] B. [tex]$\left(\frac{0.23}{365} \cdot 31\right)\left(\frac{21 \cdot \$ 2030+9 \cdot \$ 1450}{31}\right)$[/tex] C. [tex]$\left(\frac{0.23}{365} \cdot 30\right)\left(\frac{21 \cdot \$ 2030+9 \cdot \$ 1450}{30}\right)$[/tex] D. [tex]$\left(\frac{0.23}{365} \cdot 31\right)\left(\frac{9 \cdot \$ 2030+21 \cdot \$ 1450}{31}\right)$[/tex]

📝 Answered - The function $f(x)=\log x$ is transformed to produce $g(x)=\log (x)-3$. Identify the type of transformation and describe the change.