Questions in mathematics

Questions in mathematics

📝 Answered - A soccer player practices for at least 16 hours per week, and each practice lasts for three-fourths of an hour. If she has already practiced for 4 hours this week, how many more times does she need to practice for her to meet or exceed her weekly goal? A. r ≥ 6 times B. r ≥ 15 times C. r ≥ 16 times D. r ≥ 27 times

📝 Answered - A particular country's exports of goods are increasing exponentially. The value of the exports, t years after 2005, can be approximated by [tex]V ( t )=1.4 e^{0.043 t }[/tex] where [tex]t =0[/tex] corresponds to 2005 and V is in billions of dollars. a) Estimate the value of the country's exports in 2005 and 2015. b) What is the doubling time for the value of the country's exports? a) The value of the country's exports in 2005 is $1.4 billion. (Simplify your answer. Round to the nearest tenth as needed. Do not include the $ symbol in your answer.) The value of the country's exports in 2015 is $ [ ] billion. [ ] (Simplify your answer. Round to the nearest tenth as needed. Do not include the $ symbol in your answer.)

📝 Answered - Find all the zeros, real and nonreal, of the polynomial [tex]p(x)=x^2-64 \pi^2$[/tex]. A. [tex]x=-64 \pi, x=64 \pi$[/tex] B. [tex]x=64 \pi$[/tex] C. [tex]x=-64 \pi$[/tex] D. [tex]x=-8 \pi, x=8 \pi$[/tex] E. [tex]x=8 \pi$[/tex]

📝 Answered - Looking at the means of the samples in the table, which of these values is least likely to be the mean of the population?

📝 Answered - Factorise [tex]$125 a^3-64 b^3$[/tex].

📝 Answered - What is the equation of the line that is parallel to the given line and has an $x$-intercept of -3? $y=\frac{2}{3} x+3$

📝 Answered - Write with fractional exponents. [tex]$\sqrt[3]{y^2}$[/tex]

📝 Answered - Which situation best describes the transformation between f(x) = 10x and g(x)=-2 * 10x? A. The graph of g(x)=-2 * 10x is transcribed 2 units to the right. B. The graph of g(x)=-2 * 10x is transcribed 2 units to the left. C. The graph of g(x)=-2 * 10x is compressed vertically and reflected across the x-axis. D. The graph of g(x)=-2 * 10x is stretched vertically and reflected across the x-axis.

📝 Answered - Prove algebraically that the product of an even number and an odd number is always even.

📝 Answered - The weight of 10 students are given below, find the modal weight. | Weight (kg) | 33 | 35 | 37 | 39 | 42 | |---|---|---|---|---|---| | No. of students | [tex]$x$[/tex] | [tex]$x+1$[/tex] | [tex]$2x$[/tex] | [tex]$3x-2$[/tex] | [tex]$x+3$[/tex] |