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Questions in mathematics

[Done] For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid? [tex]|323-50|=x[/tex] [tex]|323+50|=x[/tex] [tex]|x-323|=50[/tex] [tex]|x+323|=50[/tex]

[Done] Instructions: Use technology to create a scatter plot for the data below. Then find the answers to the following questions. (Note: You will not turn in the scatter plot for this question.) | Coffees Sold | 30 | 29 | 26 | 24 | 19 | 20 | 15 | 13 | 12 | 8 | 9 | |---|---|---|---|---|---|---|---|---|---|---|---| | Daily Temperature (F) | 20 | 27 | 33 | 40 | 49 | 50 | 61 | 64 | 67 | 78 | 80 |

[Done] Solve the system of equations using the substitution method. The value of $y$ is $\qquad$. $\begin{array}{l} -2 x-y=-3 \\ y=-3 x+2 \end{array}$ The solution is $\square$

[Done] Find the gradient of the tangent to the curve [tex]w=\frac{v^3-7 v+2}{(v+2)(v^2-v+3)}[/tex] at the point [tex]v=\frac{2}{3}[/tex]

[Done] Give the next 5 terms for each arithmetic sequence. 1. a = 6, d = 3 2. a = 58, d = -7 3. a = 5, d = -2

[Done] 2. Five students in a class are 15, 17, 13, 14, and 16 years old. What is the median age of the students? 3. A group of customers tried on shoes with the following sizes: 8, 9, 10, 9, 9, and 10. What is the mode?

[Done] Divide using long division. $(x^3-3 x^2-3 x-4) \div(x+2)$

[Done] Find the $x$ and $y$ intercepts of this linear equation. $-3 x+11 y=66$ x-intercept ([?], $\square$ ) y-intercept ($\square$, $\square$ )

[Done] $\begin{array}{l} \left(\begin{array}{llll} 1 & 3 & 8 & 5 \\ 5 & 4 & 6 & 2 \\ 6 & 7 & 1 & 8 \\ 2 & 9 & 3 & 7 \end{array}\right) \\ a _{34}= \end{array}$

[Done] Find the slope of the line passing through the points $(4,3)$ and $(4,-7)$.