| Topic | Problem | Solution |
|---|---|---|
| None | The greatest common factor (GCF) of \( x^{3} y^{k… | GCF(x^{3} y^{k}, x^{2 k} y^{4}) = x^{3} y^{3} |
| None | A coefficient (a) and an exponent (b) are missing… | Find the LCM of coefficients and exponents: \(\operatorname{lcm}(a, 18) = 18\), \(\operatorname{lcm… |
| None | Simplify: \[ \frac{3 x^{2}+3 x-6}{6 x^{2}+18 x+12… | Factor out 3 from the numerator and 6 from the denominator: \(\frac{3(x^2 + x - 2)}{6(x^2 + 3x + 2)… |
| None | A bookstore manager will randomly select 1 of 5 n… | \( P(\text{shortest fiction and longest nonfiction}) = \frac{1}{5} \times \frac{1}{4} \) |
| None | A number cube with sides labeled 1-6 is rolled tw… | Determine the total number of possible outcomes by multiplying the number of sides on the number cu… |
| None | Soit le problème de Cauchy : \( \left\{\begin{arr… | 1. Euler: \(y_{n+1} = y_n + h(y_n - \frac{2 t_n}{y_n})\) |
| None | \( (x+3)^{2}=4 \) | \( (x+3)^{2}=4 \) |
| None | \( x^{2}-64 \) | \( x^{2}-64 = (x-8)(x+8) \) |
| None | Order the numbers from greatest to least and then… | Convert mixed number to an improper fraction: \( 5 \frac{1}{4} = \frac{21}{4} \) |
| None | Suppose $A B C$ is a right triangle with sides $a… | Given a right triangle $ABC$ with sides $a=3$, $b=4$, and $c$ with right angle at $C$. |
| None | Write an expression equivalent to \( \frac{\left(… | \( \frac{\left(5^{4}\right)^{3} \cdot\left(5^{2}\right)^{2}}{5^{6}} \) |
| None | \( (5-(3 \times 2)+1)^{2} \) | \( 5 - (3 \times 2) + 1 \) |
| None | Use the sample data and confidence level given be… | Given that the total number of people polled (n) is 937 and the number of people who said 'yes' (x)… |
| None | LESSON 9.2 - TESTING A CLAIM ABOUT A DIFFERENCE B… | Let \(p_1\) be the proportion of heart attacks in the aspirin group and \(p_2\) be the proportion i… |
| None | \( (15 \times 2)+3= \) | \( 15 \times 2 = 30 \) |
| None | Write an equation of the line passing through $(-… | Given two points (-2,3) and (6,4), we can find the equation of the line passing through these point… |
| None | What is the $r$-value of the following data, to t… | We are given the following data pairs (x, y): (4, 2), (5, 9), (8, 10), (9, 12), (13, 23). |
| None | To purchase a specialty guitar for his band, for … | First, we need to calculate the total amount of money JJ Morrison has saved in the first year. Sinc… |
| None | A credit union entered a lease contract valued at… | The problem is asking for the size of the quarterly payment for a lease contract. This is a problem… |
| None | \[ \begin{array}{l} A=\left[\begin{array}{ccc} 2 … | A square matrix is invertible if and only if its determinant is not zero. So, to determine if matri… |
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