| Topic | Problem | Solution |
|---|---|---|
| None | Among all pairs of numbers whose difference is 14… | The product of two numbers is smallest when the numbers are as close to each other as possible. In … |
| None | QUESTION 2 Find the slope of the line going throu… | Step 1: Use the slope formula, m = \(\frac{y2-y1}{x2-x1}\). |
| None | $\sqrt{29}$ | Calculate the square root of 29: \(\sqrt{29}\) |
| None | On a standardized exam, the scores are normally d… | The problem provides that the scores on a standardized exam are normally distributed with a mean of… |
| None | Use derivatives to determine whether $\mathrm{f}$… | First, we need to find the derivative of the function to determine whether the function is increasi… |
| None | Calculate the indicated Riemann sum $S_{3}$ for t… | We are given the function \(f(x)=x^{2}-5 x-24\), the interval \([0,6]\), and the points \(c_{1}=0.5… |
| None | The position of an object at time $t$ is given by… | The position of an object at time $t$ is given by the parametric equations $\left\{\begin{array}{l}… |
| None | \[ f(x)=\sqrt[3]{x}+5 \] Plot five points on the … | First, find the x-value that satisfies \(\sqrt[3]{x}=0\). The cube root of 0 is 0, so the first poi… |
| None | Alex scored 10 out of 50 in a test. What percenta… | Let Alex's score be \(a\) and the total possible score be \(t\). |
| None | 7. Determine the greatest common factor of $12 x^… | Find the GCF of the coefficients: \(\text{GCF}(12, 4, 6) = 2\) |
| None | Bryan makes hand carved wood furniture. He sells … | Let's find the total income from each type of furniture: |
| None | QUESTION 3 Find the slope of the line. \[ -5 y=-3… | \( -5y = -3x - 21 \) |
| None | Daniel earns a salary of $\$ 2020$ per month has … | Calculate Daniel's monthly commission based on his sales: \(commission1 = 30000 * 0.077 = 2310\) an… |
| None | What is the partial derivative with respect to $y… | The given function is \(f(x, y)=\log _{2}\left(4^{y}+2^{y}+2^{x}\right)\). We are asked to find the… |
| None | Calculate the the selling price of the following:… | Given that the original price of the item is \( \$25 \) and the markup percentage is \( 40\% \). |
| None | Calculate the selling price of the following: Ori… | Given that the original price of the item is \( \$149.95 \) and the discount is \( 15\% \). |
| None | Interest of $\$ 429.48$ was charged on a loan of … | Given that the interest charged on a loan of $10,000 is $429.48 for a 270 day period, we are to cal… |
| None | If you use the substitution $w=2 x$ to transform … | The question is asking to transform the integral \(\int \ln (2 x) d x\) using the substitution \(w=… |
| None | $\left\{\begin{array}{l}x-2 y-2 z=-1 \\ x-y+z=-2 … | \(\left\{\begin{array}{l}x-2 y-2 z=-1 \\ x-y+z=-2 \\ 2 x+y+3 z=1\end{array}\right.\) |
| None | If a 6 month term deposit pays a simple interest … | We are given the interest I as $100, the annual interest rate R as 2.75% or 0.0275 in decimal form,… |
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