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Questions in mathematics

[Done] Find the slope of the line containing the points $(-3,-6)$ and $(4,7)$. A. 1 B. $\frac{13}{7}$ C. $\frac{1}{13}$ D. $\frac{7}{13}$

[Done] Which could have been the expression Iris evaluated? Check all that apply. [tex]$2^{-6}$[/tex] [tex]$6^{-4}$[/tex] [tex]$4^{-3}$[/tex] [tex]$\left(\frac{1}{2}\right)^{-5}$[/tex] [tex]$\left(\frac{1}{4}\right)^{-3}$[/tex]

[Done] Find the sum of these polynomials. $\left(x^2-x+7\right)+\left(9 x^2+6\right)=$ A. $10 x^2-x+13$ B. $10 x^2-x+1$ C. $9 x^2-x+1$ D. $9 x^2-x+13$

[Done] $7 \sqrt{5}+4 \sqrt{5}$

[Done] Work out $\frac{3}{4}-\frac{1}{3}$. Give your answer in its simplest form.

[Done] The data give the average number of days in May that are clear and cloudy in two cities. | | Clear | Cloudy | Total | | :----------------- | :---- | :----- | :---- | | Sacramento, CA | 17 | 13 | 30 | | San Antonio, TX | 6 | 24 | 30 | | Total | 23 | 37 | 60 | On a day in May, what is the probability that it is cloudy, given that you are in Sacramento? Explain how you found the answer, and round your answer to two decimal places. A. 0.35, because 13 of the 37 days were cloudy B. 0.22, because 13 of the 60 days were cloudy C. 0.80, because 24 of the 30 days were cloudy D. 0.43, because 13 of the 30 days were cloudy

[Done] Find the next missing term for the series. 37, 32, 26, 19, ?, ?

[Done] 15. For each x ∈ R, let [x] be the greatest integer less than or equal to x. Then lim_{x → 0⁻} (x([x] + |x|) sin[x]) / |x| is equal to (A) -sin 1 (B) 0 (C) 1 (D) sin 1 16. Let A = {a₁, a₂, a₃, a₄} and B = {b₁, b₂, b₃, b₄, b₅}. Then the number of injective functions f from A to B, such that f(a₁) ≠ b₄ and f(a₂) = b₁ is: (A) 18 (B) 6

[Done] 2. Mukul Raj is a social worker. In his village, there was no school building. Mukul donated a rectangular plot of land for a school building. The dimensions of the plot are in the ratio 10:3. He also donated ₹15,600 to fence the plot at ₹50 per meter. (a) What are the dimensions of the plot? (b) Find the area of the plot. (c) Which value does Mukul Raj depict?

[Done] Find the sum: 879834 + 57813 + 1245 + 888888 Find the difference: 18890000 - 7763599 Q2(a): Find the quotient and remainder if any: 23412 ÷ 12 Q2(b): Find the product: 54321 × 321