Questions in mathematics

Questions in mathematics

📝 Answered - One boat travels downstream 30 km and returns upstream. If the downstream speed is 6km/h faster than the upstream speed, and the round trip took 5 hours, find the speeds.

📝 Answered - Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima or local minima, or if the test is inconclusive. [tex]f(x)=\frac{1}{4} x^4-\frac{5}{3} x^3-\frac{25}{2} x^2+125 x[/tex] A. [tex]x=-5[/tex] B. There are no critical points that are local minima according to the Second Derivative Test. Identify all the critical points that are local maxima by the Second Derivative Test. Select the correct choice below and fill in any answer boxes within your choice. A. [tex]x=[/tex] B. There are no critical points that are local maxima according to the Second Derivative Test. Identify all the critical points for which the Second Derivative Test is inconclusive. Select the correct choice below and fill in any answer boxes within your choice. A. [tex]x=[/tex] B. There are no critical points for which the Second Derivative Test is inconclusive.

📝 Answered - The sum of an arithmetic sequence can be found by the formula [tex]$S_n = \frac{1}{2}n(2a + (n-1)d)$[/tex]. Use the formula to find the sum of the first 10 terms of the sequence: [tex]$\{-3, 2, 7, 12, 17, 22, \ldots\}$[/tex]

📝 Answered - Multiply $(2 x+2)(3 x-1)$ a. $6 x^2+4 x-2$ b. $5 x^2+3 x-2$ c. $5 x^2+4 x-2$ d. $6 x^2+3 x+1$

📝 Answered - The fly moves from a point U on a bearing of 060° to a point V 20m away. It then moves from point V to point W, which is due east of U. Find the distance of point V from W.

📝 Answered - Use the distributive property to rewrite this expression. $9(n+7)$

📝 Answered - Which line is perpendicular to a line that has a slope of $-\frac{1}{3}$? line MN line $AB$ line EF line JK

📝 Answered - A painting purchased in 1998 for $200,000 is estimated to be worth [tex]v(t)=200,000 e^{t / 10}[/tex] dollars after [tex]t[/tex] years. At what rate will the painting be appreciating in 2007? In 2007, the painting will be appreciating at $ [ ] per year. (Round to the nearest dollar as needed.)

📝 Answered - Graph the function $f(x)=\sqrt{x-1}$. Choose the correct graph below. A. B. C. D.

📝 Answered - Determine the most precise name for KLMN (parallelogram, rhombus, rectangle, or square) given K(-5,-1), L(-2, 4), M(3, 1), N(0,-4). Explain how you determined your answer. You must support your answer using length and/or slope.