| Topic | Problem | Solution |
|---|---|---|
| None | 问题 Simplify $\left(7 b^{3}\right)^{2} \cdot\left(… | Apply the power of a power rule: $(a^m)^n = a^{mn}$ |
| None | Find the slope of the line that passes through \(… | \(\frac{10-6}{9-4}\) |
| None | 15. There is $1 \mathrm{~L} 0.1 \mathrm{~mol} \cd… | A questão está perguntando sobre o efeito de adicionar um ácido forte (HCl) a uma solução de ácido … |
| None | You have found the following ages (in years) of a… | \( \text{Average} = \frac{5+4+6+39}{4} = \frac{54}{4} \) |
| None | 2) $2(4-2 r)=-2(r+5)$ | Expand the brackets on both sides of the equation to get \(8 - 4r = -2r - 10\). |
| None | Define a Variable: Solution \& Interpretation: An… | Define a variable x to represent the number of video game rentals. |
| None | If $\cos x=\frac{3}{5}, x$ in quadrant I, then fi… | We are given that \(\cos x = \frac{3}{5}\) and \(x\) is in quadrant I. |
| None | 8. Points $R, S$, and $T$ have the coordinates $R… | Given the coordinates of points R and S as R(5,-9) and S(15,3) respectively. |
| None | You are to randomly pick one disk from a bag that… | The problem is asking for the probability of picking a disk that is yellow, given that the disk has… |
| None | 38. How many ways can you order a sandwich if you… | This is a problem of combinations. Each ingredient (ham, mustard, mayo, cheese) can be either inclu… |
| None | 30. How many different ways can 6 friends be seat… | This is a permutation problem. We have 20 seats and we want to find out how many ways we can arrang… |
| None | A bacteria culture initially contains 1500 bacter… | This problem involves exponential growth, which can be represented by the formula \(P = P0 * e^{rt}… |
| None | Calculate an exact answer using a formula learned… | Given the expression \(\sin \frac{19 \pi}{12}\), we need to find its exact value. |
| None | Find $\cos (2 A)$, if $\cos (A)=-\frac{21}{29}$, … | We are given that \(\cos(A) = -\frac{21}{29}\) and that \(A\) is in the third quadrant. |
| None | Find $\tan (2 A)$, if $\tan (A)=-\frac{11}{60}$, … | We are given that \(\tan A = -\frac{11}{60}\) and we need to find \(\tan (2 A)\). |
| None | Solve the equation $\log (x+22)+\log (x+1)=2$. If… | Combine the two logarithms into one using the property of logarithms that states that the sum of tw… |
| None | If $\cot (x)=\frac{5}{11}$ (in Quadrant -1$)$, fi… | We are given that \(\cot (x)=\frac{5}{11}\) and we know that \(\cot (x)=\frac{\cos (x)}{\sin (x)}\)… |
| None | Find the solution of the exponential equation \[ … | Divide both sides of the equation by 100 to get \(1.05^{2t} = 5000\) |
| None | Find $\cos (2 A)$, if $\cos (A)=-\frac{21}{29}$, … | We are given that \(\cos(A) = -\frac{21}{29}\) and that \(A\) is in quadrant 3. |
| None | Find $\tan (2 A)$, if $\tan (A)=-\frac{11}{60}$, … | We are given that \(\tan (A) = -\frac{11}{60}\) and we are asked to find \(\tan (2 A)\). |
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