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Questions in mathematics

[Done] The domain of [tex]$y=\csc x$[/tex] is given by [tex]$x \neq \frac{\pi}{2}+n \pi$[/tex]. A. True B. False

[Done] Find the perimeter of each trapezoid by adding all the sides. 1. Sides: 5 cm, 10 cm, 12 cm, 5 cm 2. Sides: 16 m, 24 m, 22 m, 7 m 3. Sides: 10 cm, 14 cm, 10 cm, 15 cm 4. Sides: 3 cm, 8 cm, 6 cm, 3 cm 5. Sides: 12 m, 6 m, 7 m, 11 m Solve for the perimeter of the following. Show your solutions. Choose any strategy.

[Done] Pick out the even numbers and write them in the given blank space. Example: 23, 7, 18, 29, 42 Even numbers: 18, 42 a) 32, 27, 45, 17, 54 b) 30, 55, 60, 38, 23 c) 65, 29, 36, 51, 40 d) 14, 63, 28, 16, 71

[Done] What is the perimeter of a rectangle with length [tex]$12 \frac{2}{3} m$[/tex] and breadth [tex]$7 \frac{1}{4} m$[/tex]?

[Done] A hotel offers a reward program based on the number of nights stayed. The function [tex]$f(x)$[/tex] represents the number of free nights earned as a function of [tex]$x$[/tex], the number of nights stayed. [tex]$f(x)=\left\lfloor\frac{x}{10}\right\rfloor$[/tex] Which describes the meaning of [tex]$f(x)$[/tex]? A. A customer earns 1 free night per 10 nights stayed. B. A customer starts with 1 free night and then earns another free night after every 10 nights stayed. C. A customer earns [tex]$x-10$[/tex] free nights for every 10 nights stayed. D. A customer earns 10 free nights after [tex]$x$[/tex] number of nights stayed.

[Done] Which of the following exponential equations could be represented by the table below? | x | 3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 | | --- | ------ | ------ | ------ | ------ | ------ | ------ | --- | --- | ---- | | y | 2.0014 | 2.0041 | 2.0123 | 2.037 | 2.111 | 2.333 | 3 | 5 | 11 | A. [tex]y=\left(\frac{1}{3}\right)^{x-3}-3[/tex] B. [tex]y=3^{x-2}-3[/tex] C. [tex]y=3^{x-3}+2[/tex] D. [tex]y=\left(\frac{1}{3}\right)^{x-3}-2[/tex]

[Done] $\frac{1}{7}+\frac{1}{x}=\frac{1}{4}$

[Done] Yoko is trying to save money for a new bicycle. She sets up a budget as shown below. | | | |---|---| | Yoko's Monthly Budget | | | Description | Income ${}^{(+)}$ | Expenses (-) | | Earnings (babysitting) | $125 | | | Earnings (bagging groceries) | $55 | | | Snacks | | $25 | | | | $10 | | Transportation | | $25 | | Clothing | | $35 | | Amount available for savings: $ | | | How much money will Yoko have left over for her savings each month? A. $85 B. $95 C. $110

[Done] Choose the single logarithmic expression that is equivalent to the one shown. [tex]4 \log _3 x+\log _3 7[/tex] [tex]\log _3 4 x^7[/tex] [tex]\log _3 28 x[/tex] [tex]\log _3 7 x^4[/tex] [tex]\log _3\left(x^4+7\right)[/tex]

[Done] The graph of [tex]y=-0.2 x^2[/tex] is the graph of [tex]y=x^2[/tex].