| Topic | Problem | Solution |
|---|---|---|
| None | 2) $\int y^{3} \sqrt{3-y^{2}} d y$ | Substitute $y = \sqrt{3} \sin{u}$, then $dy = \sqrt{3} \cos{u} du$ |
| None | Heights of fourth-graders are normally distribute… | The problem is asking for the probability that a randomly selected fourth-grader is taller than 53 … |
| None | First try was incorrect Cindy built 4 toys in 20 … | \( \text{Rate = }\frac{\text{Toys}}{\text{Time}}\Rightarrow\text{Rate} = \frac{4}{20} \text{ toys/m… |
| None | $\left(\frac{2^{4}}{7^{-2}}\right)\left(\frac{7^{… | Simplify the expression inside the brackets: \(\frac{2^4}{7^{-2}} = 784\) and \(\frac{7^{-2}}{2^5} … |
| None | The sum of three consecutive numbers is 51 . What… | Let the smallest number be n, then the three consecutive numbers are n, n+1, and n+2. The sum of th… |
| None | Chapter 6 36. Find the mean of the following data… | Step 1: Add all the data points: \( 25 + 26 + 21 + 29 + 22 + 24 + 27 + 24 = 198 \) |
| None | The expression $\frac{\sin ^{2} A}{\tan A}$ is eq… | Given expression: \(\frac{\sin^2 A}{\tan A}\) |
| None | 11. Alicia had \$22 to spend on pencils. If each … | Write the equation: \(1.50p = 22\) |
| None | Find the effective interest rate. Round to two de… | Calculate the effective interest rate using the formula: \( (1 + \frac{Nominal Rate}{Number of Comp… |
| None | Some of the most common (and most dangerous) exam… | Calculate the number of times the median fee is charged for a $700 loan: \(\frac{700}{200} = 3.5\) |
| None | The sales tax in Pennsylvania is $8 \%$. If the t… | Calculate the cost of the item before tax using the formula: Cost of item before tax = (Tax amount … |
| None | (1) If: $\sin \theta=\frac{2}{3}, 0^{\circ}<\thet… | Given that \(\sin \theta = \frac{2}{3}\), we need to find \(\sin 2\theta\) using the double angle f… |
| None | In many cases, property taxes when you own a home… | Find the total annual cost: \(1410 \times 2 + 972 + (252.57 + 337.09) \times 2 = 4381.66\) |
| None | Find the sales tax and total cost of an espresso … | Calculate the sales tax: \(38.95 \times 0.04 = 1.558\) |
| None | Find the sales tax and total cost of an espresso … | Calculate the sales tax: \(38.95 * 0.04 = 1.56\) |
| None | Use the following information about Sunoco stock.… | Calculate the cost of shares: \(350 \times 91.25 = 31937.5\) |
| None | In order to pay for college, the parents of a chi… | Calculate the future value using the formula: \(Future Value = Principal * (1 + (Interest Rate / Nu… |
| None | $-\frac{1}{2}-\frac{3}{1}=$ | Find a common denominator for the fractions: \(-\frac{1}{2}\) and \(-\frac{3}{1}\). The common deno… |
| None | The circumference of circle is 7.85 inches. Whc i… | Given the circumference C = 7.85 inches, we need to find the diameter d using the formula C = πd. |
| None | (1) What is the derivative of the function $f(x)=… | Rewrite the function as $f(x)=x^{-6}$ |
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