| Topic | Problem | Solution |
|---|---|---|
| None | An airplane flies 6300 miles into the wind for 1… | Let's denote the speed of the airplane as 'a' and the speed of the wind as 'w'. |
| None | $3: 4:: X: 8$ | Given the proportion $3: 4:: X: 8$ |
| None | Two buses leave a station at the same time and tr… | Let's denote the speed of the faster bus as \(x\) and the speed of the slower bus as \(x - 18\). |
| None | Ritional Expressions Word probtem on combined var… | Given that the maximum weight (W) that a beam can support varies inversely with its length (L) and … |
| None | $\leftarrow$ Save \& Exit Certify Lesson: 9.4b Mu… | Given the expression \((\sqrt{6}+1)(\sqrt{6}+1)\) |
| None | An inlet pipe on a swimming pool can be used to f… | The problem involves rates of work. The rate of work of the inlet pipe is 1 pool per 40 hours, and … |
| None | Question 6 Convert 107 pounds to kilograms. (Use… | Use the conversion factor \(1 \mathrm{lb}=0.454 \mathrm{~kg}\) to convert pounds to kilograms. |
| None | - Linear Functions and Question 15, 2.3.61 Part 1… | Rewrite the given equation \(3x + 8y - 24 = 0\) in slope-intercept form by isolating \(y\). |
| None | Use the given data to find the best predicted val… | Given the regression equation \(\hat{y}=2+3 x\), we substitute \(x=2\) into the equation to find th… |
| None | Question 2 of 10 , Step 1 of 1 $1 / 10$ Correct S… | Simplify the expression by combining the radical terms using the indicated operation(s). |
| None | Solve for $x$. \[ 16^{6 x}=11^{-x-3} \] Write th… | The given equation is in the form of \(a^{bx} = c^{dx}\), which can be solved by taking the logarit… |
| None | Convert the measurement \[ 1950 \mathrm{~mL}=\squ… | Given that 1 liter is equal to 1000 milliliters, we can convert 1950 mL to liters by dividing 1950 … |
| None | Suppose $f(x)$ has the following properties: - $f… | Given that \( f(x) \) is continuous and positive for all \( x \in [6,19] \) |
| None | A relay microchip in a telecommunications satelli… | We are given that the life expectancy of the relay microchip in a telecommunications satellite foll… |
| None | The Sharma's earn $\$ 12000$ per year on their sm… | Use the formula for continuous compounding interest: \(A = P \cdot e^{rt}\) |
| None | Evaluate the indefinite integral: \[ \int\left(3 … | The integral of a function is the area under the curve of the function. The integral of a polynomia… |
| None | Find an equation of the line passing through the … | The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the fo… |
| None | Use Part 1 of the Fundamental Theorem of Calculus… | Given the function \(g(x)=\int_{6}^{x} t^{5} \sin (t) d t\), we are asked to find its derivative. |
| None | Find the standard form of the equation for the ci… | The standard form of the equation for a circle is \((x-h)^2 + (y-k)^2 = r^2\), where \((h, k)\) is … |
| None | Save \& Exit Certify Lesson: 9.4a Addition and Su… | Given the expression \(-7 \sqrt{3}-2 \sqrt{3}+7 \sqrt{6}\), we need to simplify it by combining the… |
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