| Topic | Problem | Solution |
|---|---|---|
| None | Perform the calculation. \[ 43^{\circ} 5^{\prime}… | Given angles are \(43^{\circ} 5^{\prime}\), \(55^{\circ} 52^{\prime}\) and \(26^{\circ} 19^{\prime}… |
| None | 17. The International Space Station (ISS) orbits … | Given values: \(G = 6.674 \times 10^{-11} \mathrm{m}^{3} \mathrm{~kg}^{-1} \mathrm{~s}^{-2}\), \(M_… |
| None | $\frac{6}{4}+\frac{2}{4}$ | Given the fractions \(\frac{6}{4}\) and \(\frac{2}{4}\) |
| None | Use Gaussian elimination to find the complete sol… | Let's start with the given system of equations: \[\begin{cases} -x+y+z=-1 \\ -x+4y-8z=-22 \\ 7x-6y-… |
| None | The following equation gives the amount of money … | Given the formula for the amount owed on a loan after a certain amount of time if no payments are m… |
| None | Find the future value $P$ of the amount $P_{0}$ i… | In the first year, the investment earns \(\frac{0.039}{1}(\$100,000)\) in interest, so the investme… |
| None | Suppose you have $\$ 2350$ in your savings accoun… | Let's denote the principal amount (initial investment) as P, the interest as I, the annual interest… |
| None | Given $f(x)=3 x^{2}-6 x+k$, and the remainder whe… | Given the function \(f(x) = 3x^2 - 6x + k\), and the remainder when \(f(x)\) is divided by \(x - 1\… |
| None | At a wedding reception, the bride and groom and e… | In this case, we are looking at a permutation problem. We have 10 people (the bride, the groom, and… |
| None | A multiple-choice test consists of 5 questions wi… | This is a problem of permutations. Since each question has 4 possible answers, and there are 5 ques… |
| None | In how many ways could members of the following c… | We are given a club with 8 members: Bob, Tim, Alan, Tammy, Cathy, David, Sandy, Ashley. We are aske… |
| None | Find the equation for the line tangent to the par… | First, we need to find the derivative of the parametric curve. The derivative of a parametric curve… |
| None | For $P=\{11,12,14,15\}, Q=\{1,7,13\}$, and $R=\{3… | Given sets are: \(P = \{11, 12, 14, 15\}\), \(Q = \{1, 7, 13\}\), and \(R = \{3, 7, 10, 13\}\). |
| None | Find the area of the surface obtained by rotating… | Given the curve \(y=x^{1/3}\), we are asked to find the area of the surface obtained by rotating th… |
| None | (a) Find the average value of $f(x)=25-x^{2}$ on … | The average value of a function \(f(x)\) on the interval \([a,b]\) is given by the formula: \[\frac… |
| None | $x^{2}-5 x+8=0$ | Primeiro, reescrevemos a equação dada como $x^{2}-5 x+8=0$ |
| None | The capacity of a dump truck is listed by the man… | First, we need to convert the volume of dirt from cubic meters to cubic yards because the capacity … |
| None | 2. Complete the inequality by choosing the inequa… | Calculate the value of \(2^{4}\) which is 16 |
| None | Use $A=P\left(1+\frac{r}{n}\right)^{n t}$ where: … | We are given that \(A = 2P\), \(P = 1500\), \(r = 0.08\), and \(n = 4\). We need to find \(t\). |
| None | \begin{tabular}{|c|r|} \hline$x$ & $P(x)$ \\ \hli… | The given probability distribution is as follows: \[\begin{tabular}{|c|r|} \hline$x$ & $P(x)$ \\ \h… |
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