Questions in mathematics

Questions in mathematics

📝 Answered - Find the sum of the greatest and the smallest five-digit numbers.

📝 Answered - Select the correct answer. A geologist gathered data about the total shoreline and maximum depth of several area lakes and organized the data into this table. | Total Shoreline (miles) | 22 | 17 | 10 | 23 | 12 | 35 | 7 | | :---------------------- | :-- | :-- | :-- | :-- | :-- | :-- | :-- | | Maximum Depth (feet) | 101 | 85 | 59 | 113 | 64 | 158 | 33 | She then used a graphing tool to display the data in a scatter plot, with [tex]$x$[/tex] representing the total miles of shoreline and [tex]$y$[/tex] representing the maximum depth. She also used the graphing tool to find the equation of the line of best fit [tex]$y=4.26 x+10.908$[/tex] Based on the line of best fit, what is the approximate maximum depth of a lake that has 31 miles of shoreline? A. 121 feet B. 132 feet C. 138 feet D. 143 feet

📝 Answered - What is the common difference $d$ of the arithmetic sequence on which the series is based? $d=$ $\square$ -8 What is the explicit rule for the arithmetic sequence on which the series is based? $a_k=\sqrt{ } 14+(k-1)(-8)$ What is the summation notation for the arithmetic series? Enter the correct values for $x, y$, and $z$. $\begin{array}{l}< \sum_{k=1}^x(y+z k) \\ x=\square \\ y=\square \\ z=\square\end{array}$

📝 Answered - [tex]\frac{x+1}{x^2 y^2} \div \frac{x^2-1}{x^2 y^2}[/tex]

📝 Answered - \left\{\begin{array}{l}36 x-11 y=-14 \\ 24 x-17 y=10\end{array}\right.

📝 Answered - If $f(x)=5 x-25$ and $g(x)=\frac{1}{5} x+5$, which expression could be used to verify $g(x)$ is the inverse of $f(x)$? A. $\frac{1}{5}(\frac{1}{5} x+5)+5$ B. $\frac{1}{5}(5 x-25)+5$ C. $\frac{1}{(\frac{1}{5} x+5)}$ D. $5(\frac{1}{5} x+5)+5$

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - The data in the table below shows the relationship between the total number of houses built in an area and the number of months that passed. | Months Passed | Total Houses Built | |---------------|--------------------| | 0 | 0 | | 3 | 33 | | 4 | 46 | | 8 | 108 | Which best describes the data set? A. It is nonlinear because the "Total Houses Built" column does not increase at a constant additive rate. B. It is nonlinear because the "Months Passed" column does not increase at a constant additive rate. C. It is nonlinear because the increase in the "Total Houses Built" compared to the increase in the "Months Passed" does not show a constant rate of change. D. It is linear because the increase in the "Total Houses Built" compared to the increase in the "Months Passed" shows a constant rate of change.

📝 Answered - Which of the following is true of the commutative property under subtraction? A) [tex]$10-9=10+9$ B) [tex]$10-9 \neq 9-10$ C) [tex]$10+9=9+10$ D) [tex]$10-9=10-9$

📝 Answered - Gracie has an offer to buy an item with a sticker price of $5700 by paying $170 a month for 48 months. Which of these groups of values plugged into the TVM Solver of a graphing calculator will give her the correct answer for the interest rate being offered? A. $N=4 ; 1 \%=; P V=-5700 ; P M T=0 ; F V=170 ; P / Y=1 ; C / Y=12 ; P M T: E N D$ B. $N=4 ; 1 \%=; P V=-5700 ; P M T=0 ; F V=8160 ; P / Y=1 ; C / Y=12 ; P M T: E N D$ C. $N=4 ; 1 \%=; P V=0 ; P M T=-5700 ; F V=170 ; P / Y=1 ; C / Y=12 ; P M T: E N D$ D. $N=4 ; 1 \%=; P V=0 ; P M T=-5700 ; F V=8160 ; P / Y=1 ; C / Y=12 ; P M T: E N D$