| Topic | Problem | Solution |
|---|---|---|
| None | Use the balanced equation to solve the problem \[… | \( \frac{12.3}{17.031} \mathrm{mol} \mathrm{NH}_{3}=0.7225 \mathrm{mol} \mathrm{NH}_{3} \) |
| None | \( \begin{array}{r}3 \\ \times \quad 0 \\ \hline\… | \(3 \times 0 = 0\) |
| None | \( 4 \frac{1}{4}+2 \frac{3}{5}= \) | \( 4 \frac{1}{4} = \frac{17}{4} \) |
| None | What is the de Broglie wavelength of a photon wit… | \(\lambda = \frac{h}{p}\) |
| None | 4. (MGSE9.12 ACED.2, MGSF9-12. B.BF.1) Complete t… | \(c(x) = x^2 + 6x + 14\) |
| None | \( 3|x-4|>9 \) | \(3|x-4|>9 \) |
| None | Find the solution of the system of equations. \[ … | \( \begin{cases} 5x = 5y + 10 \\ 6x = 1 - 5y \end{cases} \) |
| None | Find the solution of the system of equations. \[ … | \(1^{st}\) equation \(-9x + 8y = -26\) |
| None | f) \( \int \sqrt[3]{3 x^{3}-5 x^{5}} d x \) | \( u(x)=3x^3-5x^5 \) |
| None | A car moving \( 18.2 \mathrm{~m} / \mathrm{s} \) … | 1. Calculate the initial gravitational potential energy (PE): \( PE_{i} = mgh \) |
| None | \( \frac{7}{1} \) | \( \frac{7}{1} = 7 \) |
| None | Find the product. \[ \begin{array}{r} 0.23 \\ \ti… | \(0.23 \times 12 = \frac{23}{100} \times 12\) |
| None | Find the product. \[ 86.7 \times 10 \] | \(86.7 \times 10\) |
| None | Find the slope of the line that passes through th… | 1) \(m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 - 10}{-2 - 3}\) |
| None | Find the product and simplify completely. \[ 2 \f… | Convert mixed number to improper fraction: \(\frac{17}{7}\) |
| None | Find the product and simplify completely. \[ 2 \f… | Convert the mixed number to an improper fraction: \( 2 \frac{3}{7} = \frac{17}{7} \) |
| None | 9. Two people are fighting over a Playstation 5 .… | \( m_1 = 100 \mathrm{~kg} \) |
| None | \( \int_{-2}^{4} x^{2} \operatorname{sgn}\left(9-… | \( \operatorname{sgn}(9-x^2) = \begin{cases} 1, & x^2<9 \\ 0, & x^2=9 \\ -1, & x^2>9 \end{cases} \) |
| None | 5. \( 15 \times 2 \frac{2}{3} \) | \( 15 \times 2\frac{2}{3} \) |
| None | Question 1 (7 points) Find the volume of the soli… | \(V = \pi \int_0^2 (5-x^2)^2 - (5)^2 dx\) |
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