| Topic | Problem | Solution |
|---|---|---|
| None | Express $\mathrm{y}$ as a function of $\mathrm{x}… | \(\ln y=\frac{1}{10} \ln (4 x+1)-\frac{1}{15} \ln (x+9)+\frac{1}{5}\ln C\) |
| None | Of the 13,500 savings accounts in a bank, 4,675 b… | First, we need to calculate the population proportion (p). This can be done by dividing the number … |
| None | The Sharma's earn $\$ 12000$ per year on their sm… | Use the formula for continuous compounding interest: \(A = P \cdot e^{rt}\) |
| None | Write a formula for the $n$th term of the arithme… | Identify the common difference between the terms of the arithmetic sequence, which is \(-5\) |
| None | Multiply and simplify the following radical expre… | We are given the expression \((5 \sqrt{x}-3)(\sqrt{x}-5)\). |
| None | Related Rates (Two Formulas) Score: $4 / 5$ Penal… | Given \( \frac{dV}{dt} = 190 \) cubic feet per second and side length \( s = 4 \) feet |
| None | A vending machine accepts nickels, dimes, and qua… | Consider the number of quarters that can be used. We can use 0, 1, or 2 quarters. |
| None | The area of a sector of a circle with a central a… | The area of a sector of a circle is given by the formula \(\frac{1}{2}r^{2}\theta\), where \(r\) is… |
| None | A 25 -ft ladder is leaning against a house when i… | Given that the base of the ladder is moving away at a rate of 24 ft/sec, we need to find the rate o… |
| None | You are about to begin work on a swimming pool in… | Convert the dimensions of the hole from feet to yards. There are 3 feet in a yard. So, the dimensio… |
| None | If $n=580$ and $\hat{p}$ (p-hat $)=0.7$, construc… | To construct a \(90\%\) confidence interval for a proportion, we use the formula \(\hat{p} \pm z \t… |
| None | H.12 Sequences of congruence transformations: gra… | Define the coordinates of the vertices of trapezoid \( V W X Y \): \( V = (1, 2) \), \( W = (2, 3) … |
| None | Use Chebyshev's theorem to solve the problem. Fi… | Given a math problem, we are asked to find the least possible fraction of numbers in a data set lyi… |
| None | A skull cleaning factory cleans arfimal skulls of… | Given the exponential growth formula: \(P = P0 * e^{rt}\), where \(P\) is the final amount, \(P0\) … |
| None | A tank leaks $0.1 \frac{\mathrm{m}^{3}}{\mathrm{h… | Given that the volume of oil leaking into the lake is \(0.1 m^3/hr\) and the thickness of the oil d… |
| None | Question 22 of 25 What are the new limits of inte… | Apply the substitution $u=6 x+\pi$ to the integral $\int_{0}^{\pi} \sin (6 x+\pi) d x$. |
| None | The point $(4,3)$ lies on the terminal side of an… | To find the six trigonometric functions of the angle \(\theta\) whose terminal side passes through … |
| None | Question Watch Video Show Examples The volume of … | Given that the volume of the sphere is decreasing at a rate of \(-6031\) cubic centimeters per seco… |
| None | from the sample space $\mathrm{S}$ $=\{1,2,3,4, \… | Define the sample space S = {1,2,3,4,...,15}, from which a single number is to be selected at rando… |
| None | At a computer store, a customer is considering 8 … | The problem is asking for the total number of different computer systems possible. Since the custom… |
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