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Questions in mathematics

[Free] Can someone help me with this question? Trapezoid TUVW is shown on the coordinate plane below: If trapezoid T'U'V'W' represents trapezoid TUVW reflected over the y-axis, the ordered pair of W' is ___________. (Note: You must include parentheses, a comma, and a space after the comma when typing the ordered pair.) I think that it's 6,2

[Free] A pulley system has a mechanical advantage of 5. Make a graph with the input force on the x-axis and the output force on the y-axis. Choose five different values of the input force, and plot the resulting output force on your graph.

[Free] Can someone please help me with this? The result of subtracting 2 from its opposite is ____. Choices are: A. 0 B. 1 C. 4 D. -4

[Free] At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog. Last week, the store made $60 from washing cats and dogs. If 6 cats were washed, write and solve a linear equation to find how many dogs were washed. Let \(d\) represent the number of dogs washed. The linear equation is: \[ 5 \times 6 + 7.50 \times d = 60 \] Solve for \(d\).

[Free] Condense the expression to the logarithm of a single quantity. \[ 8 \log_8 x + 16 \log_8 y \]

[Free] Adam tried to compute the average of his 7 test scores. He mistakenly divided the correct sum of all of his test scores by 6, which yielded 84. What is Adam's correct average test score?

[Free] What is the derivative of the function \(\frac{2x^2 + 3x + 7}{\sqrt{x}}\)?

[Free] Calculate \(\frac{11 \frac{7}{8}}{4 \frac{3}{4}}\). Show your work, including any cross-canceling steps.

[Free] On Monday, the escalator was not working. It took Tom 18 seconds to reach the top, climbing two steps each second. By Tuesday, the escalator had been repaired, and Tom took only 12 seconds to reach the top, climbing at the same rate. On Wednesday, Tom decided to ride the escalator without climbing at all. How long did it take him to reach the top this time?

[Free] A timber fence is to be built on sloping land, with the shortest piece of timber measuring 1.2 m and the longest measuring 1.8 m. There are 61 pieces of timber in the fence. b) What length of timber is needed for the fence altogether?