| Topic | Problem | Solution |
|---|---|---|
| None | Soent \( D\left(A_{0}, \vec{u}_{0}\right) \) we d… | 1) \( D(A_0, \vec{u}_0) : \begin{cases} x = 1 + 2t \\ y = 1 - \frac{1}{2}t \\ z = 1 + 2t \end{case… |
| None | An amount of $\$ 28,000$ is borrowed for 9 years … | \(A = P(1 + r)^n\) |
| None | An apple farm yields an average of 34 bushels of … | The problem is asking for the maximum yield, which is the product of the number of trees and the yi… |
| None | Use the percent formula $A=P B$ to answer the que… | Given that A = 0.3 and B = 2.5, we need to find P in the formula A = P * B. |
| None | Suppose that $\$ 4000$ is placed in a savings acc… | Given that the principal amount (P) is $4000, the final amount (A) is $5372, the annual interest ra… |
| None | How many moles of nitrogen are in a \( 8 \mathrm{… | \(PV = nRT\) |
| None | You intend to draw a random sample of size $n=583… | The mean of the distribution of sample proportions is equal to the population proportion. Given tha… |
| None | 10. 有七个排成一列的数, 它们的平均数是 30 , 前三个数的平均数是 28 , 后五个数的平… | Find the sum of the first 7 numbers, the sum of the first 3 numbers, and the sum of the last 5 numb… |
| None | In circle $O, \mathrm{~m} \angle P O Q=40^{\circ}… | Convert the given angle from degrees to radians: \(angle_in_radians = \frac{angle_in_degrees * \pi}… |
| None | Determine if $(3,-6,7)$ is a solution of the syst… | Substitute the values of the ordered triple $(3,-6,7)$ into the system of equations. |
| None | A ball is thrown vertically upward. After $t$ sec… | The maximum height of the ball is the maximum value of the function \(h(t)\). This occurs at the ve… |
| None | Solve the following inequality. \[ \sqrt[3]{4 x^{… | The inequality is \(\sqrt[3]{4 x^{2}-5}>-1\). To solve this inequality, we need to first remove the… |
| None | $\operatorname{In} 2012$, the population of a cit… | The exponential growth function is given by the formula \(P(t) = P0 * e^{rt}\), where \(P0\) is the… |
| None | Find a) any critical values and b) any relative e… | First, we need to find the derivative of the function \(g(x) = x^{3} - 27x + 53\). The derivative o… |
| None | Consider a triangle $A B C$ like the one below. S… | Given a triangle $A B C$ with $B=46^{\circ}, C=106^{\circ}$, and $a=64$. |
| None | An exercise machine with an original price of $\$… | The original price of the exercise machine is $670. |
| None | The area $A(r)$ (in square meters) of a circular … | We are given two functions, $A(r)$ and $M(t)$. $A(r)$ gives the area of the colony in terms of the … |
| None | An alloy contains tin, copper and silver in the r… | Given the ratio of tin, copper, and silver as \(7:5:3\) and there are \(48\mathrm{~g}\) of copper. |
| None | QUESTION 6 Solve the problem. Round your answer t… | A = P(1 + \frac{r}{n})^{nt} |
| None | Find the domain of the following function. \[ f(x… | Since we know that the terms inside any root need to be greater than or equal to zero, both $-x^2+4… |
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