Questions in mathematics

Questions in mathematics

[Free] Anderson earns $20 per month for completing chores around the house. Each month, the amount Anderson earns increases by $0.50. The total amount of money Anderson earns from month 3 to month 18 can be represented by this expression: [tex]$\sum_{n=3}^{18}[20+(n-1) 0.5]$[/tex]. Which is another way of expressing this amount? [tex]$\sum_{n=1}^{18} 20+0.5 \sum_{n=1}^{18} n-0.5 \sum_{n=1}^{18} 1-\left(\sum_{n=1}^2 20+0.5 \sum_{n=1}^2 n-0.5 \sum_{n=1}^2 1\right)$[/tex] [tex]$\sum_{n=1}^{18} 20+0.5 \sum_{n=1}^{18} n-0.5 \sum_{n=1}^{18} 1-\left(\sum_{n=1}^3 20+0.5 \sum_{n=1}^3 n-0.5 \sum_{n=1}^3 1\right)$[/tex] [tex]$\sum_{n=1}^{18} 20+0.5 \sum_{n=1}^{18} n-\left(\sum_{n=1}^2 20+0.5 \sum_{n=1}^2 n\right)$[/tex] [tex]$\sum_{\sum 20}^{18}+0.5 \sum_{n-}^{18}\left(\sum^3 20+0.5 \sum_n^3\right)$[/tex]

[Free] Simplify: $5-8(1+2 x)$ A. $10 x+12$ B. $9 x+6$ C. $-3-16 x$ D. $46 x+15$

[Free] Find the equation in slope intercept form for a line with [tex]$m =\frac{2}{3}$[/tex] and a point on the line of (-9,5). A. [tex]$y=\frac{2}{3} x+11$[/tex] B. [tex]$y=\frac{2}{3} x+1$[/tex] C. [tex]$y=-9 x+11$[/tex] D. [tex]$y=-9 x+1$[/tex]

[Free] Select the correct answer. Which function has the same graph as [tex]$x+y=11$[/tex]? A. [tex]$f(x)=-y+11$[/tex] B. [tex]$f(x)=-x+11$[/tex] C. [tex]$f(x)=x-11$[/tex] D. [tex]$f(x)=y-11$[/tex]

[Free] Is the product of 15 and [tex]$\frac{2}{3}$[/tex] more or less than 15? Explain your answer in complete sentences.

[Free] Which of the following methods can you use to track the number of cereal bowls you have for breakfast during a span of 6 months? a) Use a line graph to record the data b) Plot the months along the x-axis c) Plot the dependent variable along the y-axis d) All of the above

[Free] What is the completely factored form of the expression [tex]$16 x^2+8 x+32$[/tex]? A. [tex]$4(4 x^2+2 x+8)$[/tex] B. [tex]$4(12 x^2+4 x+28)$[/tex] C. [tex]$8(2 x^2+x+4)$[/tex] D. [tex]$8 x(8 x^2+x+24)$[/tex]

[Free] Hector is on a trip to Japan. The table below outlines some of the fun things he would like to see and do while on his trip, as well as their estimated costs, either in US dollars ($) or Japanese yen (¥). Hector has $575 budgeted for expenses like this. Item & Cost & Currency \ Kabuki performance & 74.95 & $ \ Kaiseki dinner & 8,745 & $\gamma$ \ Shopping at Akihabara & 262.49 & $ \ Onsen visit & 6,811 & $\gamma$ \ Museum visit & 2,423 & $\gamma$ \ Hector would also like to see a professional sumo tournament while he is there, which would cost him ¥5,488. If the conversion rate of US dollars to Japanese yen is 1:94.153 at the time of Hector's trip, how will this affect his budget? a. Hector can see the sumo tournament and have about $322 left over. b. Hector can see the sumo tournament and have about $86 left over. c. Hector has exactly enough left in his budget to see the sumo tournament. d. Hector cannot afford to see the sumo tournament, because it would put him over budget by

[Free] Which equation can be rewritten as [tex]x+4=x^2[/tex]? Assume [tex]x>0[/tex]. [tex]\sqrt{x}+2=x[/tex] [tex]\sqrt{x+2}=x[/tex] [tex]\sqrt{x+4}=x[/tex] [tex]\sqrt{x^2+16}=x[/tex]

[Free] It takes Franklin 14 hours to make a 200-square-foot cement patio. It takes Scott 10 hours to make the same size patio. Which equation can be used to find [tex]$x$[/tex], the number of hours it would take Franklin and Scott to make the patio together? A. [tex]$14 x+10 x=200$[/tex] B. [tex]$\frac{1}{14} x-\frac{1}{10} x=-$[/tex] C. [tex]$\frac{1}{14} x+\frac{1}{10} x=1$[/tex] D. [tex]$14 x-10 x=200$[/tex]