Questions in mathematics

Questions in mathematics

📝 Answered - Q. यदि किट यदुर्कास (Prove that): 15. प्रयिगित गन्दोस् (Prove that) : [tex]\frac{x^{m+n} \times x^{m+n+2}}{x^{2 \pi n+\pi+1}}=1[2][/tex] रास गनुहोस् (Simplify): [tex]-\frac{x^2+6 x+9}{x^2-9}[/tex] [2] Ans : [tex]\frac{x+3}{x-3}[/tex] 18. [tex]\frac{3 x}{x+1}+\frac{3}{x+1}[/tex] Ans:3 19. [tex]\frac{x}{x^2-1}+\frac{1}{x-1}[/tex] [2] Ans : [tex]\frac{2 x+1}{x^2-1}[/tex] 20. [tex]\frac{x}{2(x+y)}-\frac{2}{3(x+y)}[/tex] [2] Ans : [tex]\frac{3 x-4}{6(x+y)}[/tex] 21. प्रथाणित गर्नुहोस् (Prove that) : [tex]\frac{1}{x^2+7 x+12}+\frac{1}{x^2+5 x+6}=\frac{2}{x^2+6 x+8}[/tex]

📝 Answered - $\overline{x^2-4}$ Simplify: (a) $\frac{x^2}{y(x-y)}+\frac{y^2}{x(y-x)}$

📝 Answered - Find the volume of the solid of revolution formed by rotating the region bounded by $y=x^3$ and $y=x$ about the line $x=-2$. Use the shell method. V = [ ? ] Round your answer to the nearest thousandth.

📝 Answered - The factor tree for 1,764 is shown. What is the simplest form of $\sqrt{1,764}$ ? A. 21 B. 42 C. $3^2(7^2)$ D. $2^2(3^2)(7^2)$

📝 Answered - What is the missing step in solving the inequality $4(x-3)+4 \leq 10+6 x$? 1. The distributive property: $4 x-12+4 \leq 10+6 x$ 2. Combine like terms: $4 x-8 \leq 10+6 x$ 3. The addition property of inequality: $4 x \leq 18+6 x$ 4. The subtraction property of inequality: $-2 x \leq 18$ 5. The division property of inequality: $x \leq-9$ $x \geq-9$ $x \leq-\frac{1}{9}$ $x \geq \frac{1}{9}$

📝 Answered - Graph the solution set. [tex]y \geq-(x-2)^2-1[/tex] Graph the related equation [tex]y=-(x-2)^2-1[/tex]. The equation represents a parabola opening (Choose one) with vertex at ( , ). Because the inequality symbol [tex]\geq[/tex] allows equality, draw the parabola as a (Choose one) curve.

📝 Answered - Convert the unit of length. Use 1 m = 100 cm and [tex]$1 m \approx 3.28 ft$[/tex]. Round the answer to one decimal place if necessary. [tex]$160 cm = ? ft$[/tex]

📝 Answered - f. $x^{10}-10 x^6+9 x^2$

📝 Answered - Find the total number of compounding periods and the interest rate per period for the investment. | Term of Investment | Nominal (Annual) Rate (%) | Interest Compounded | Compounding Periods | Rate per Period (%) | |---|---|---|---|---| | 9 years | 4 | quarterly | | |

📝 Answered - The number of bacteria in a culture is given by the function [tex]$f(t)=970 e^{0.3 t}$[/tex] where [tex]$t$[/tex] is measured in hours. a) What is the exponential rate of growth of this bacterium population? Your answer is $\square$ % b) What is the initial population of the culture (at [tex]$t=0$[/tex])? Your answer is $\square$ c) How many bacteria will the culture contain at time [tex]$t=2$[/tex]? Your answer is $\square$