| Topic | Problem | Solution |
|---|---|---|
| None | Points: 0 of 2 Save Find an equation of the line … | Given the slope of the line, m = -4, and a point on the line (-5,-6). |
| None | Graphs and Functions Quotient of two functions: A… | To find the quotient of the two functions, we divide $f(x)$ by $g(x)$: \(\left(\frac{f}{g}\right)(x… |
| None | Test 3 Question 10 of 20 (10 points) 1 Question A… | Given in the problem, we have: \(\bar{x} = 8.12\) ounces, \(s = 0.2\) ounce, and \(n = 12\) bags. |
| None | Find the local extrema for $f(x, y)=x^{3}+y^{3}+6… | Find the first derivatives of the function with respect to x and y. The first derivative with respe… |
| None | The time it takes for a pendulum to swing back an… | The problem has two parts. Let's first solve part a. The question asks for the time it takes for a … |
| None | Lucas is working his dream job as a graphic desig… | Lucas is working his dream job as a graphic designer. His starting salary was $43,000. He is great … |
| None | This exercise can be solved using combinations ev… | This exercise can be solved using combinations even though the problem statement will not always in… |
| None | $\begin{array}{r}x+y+6 z=1 \\ \frac{1}{3} x-\frac… | First, convert the system of equations into matrix form. The coefficients of x, y, and z in each eq… |
| None | Solve the system of linear equations for variable… | The system of equations is linear and has two variables, x and y. To solve for x, we can use the me… |
| None | For the equation, \[ 2 \sin \theta=1 \] a. Solve … | First, we isolate \(\sin \theta\) by dividing both sides of the equation by 2. This gives us \(\sin… |
| None | Find $x$ and $y$. \[ \left[\begin{array}{rr} 1 & … | The given problem is a matrix equation. To solve for x and y, we need to equate the corresponding e… |
| None | Determine the x-intercept of the function: 15. $… | Set the function equal to zero: \(0 = 4 - |6 + 2x|\) |
| None | Suppose the derivative of a function $f$ is \[ f^… | Given the derivative of a function $f$ is $f^{\prime}(x)=(x+2)(x-4)^{2}(x-1)^{3}$. |
| None | Recardo has a jar filled with one and five dollar… | Let's denote the number of one dollar bills as x and the number of five dollar bills as y. |
| None | der the table showing past and projected federal … | First, we calculate the deficit as a percentage of GDP for the years 2015 and 2025. This can be don… |
| None | Write the variation, and find the quantity indica… | Given that $F$ varies jointly as $q_{1}$ and $q_{2}$ and inversely as the square of $d$, we can wri… |
| None | Camille has $\$ 32,758$ in a savings account that… | Given that the principal amount, \(p = \$32,758\), the annual interest rate, \(r = 10\% = 0.10\), a… |
| None | Find the relative extrema of the function, if the… | The function given is \(f(x) = x^{2} - 6x + 18\). |
| None | Let $f(x)=\frac{3 x^{3}}{(4-4 x)^{3}}$. Find the … | Given the function \(f(x)=\frac{3 x^{3}}{(4-4 x)^{3}}\), we are asked to find the equation of the l… |
| None | Three cups of water weigh 12 ounces. How heavy is… | Given that three cups of water weigh 12 ounces, we are asked to find the weight of 10 cups of water. |
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