| Topic | Problem | Solution |
|---|---|---|
| None | Use the power property to rewrite each expression… | Use the power property of logarithms which states that \(\log_b(a^n) = n \cdot \log_b(a)\). |
| None | Let $U=\{1,5,6,7,11,13,15,16,18\}$. Determine the… | Given the universal set \(U = \{1, 5, 6, 7, 11, 13, 15, 16, 18\}\) and the set \(A = \{6, 11, 16\}\) |
| None | Beth is $b$ years old. Sam is 4 years younger tha… | \(b(b-4)=621\) |
| None | Given sets $A, B, C$, and $U$, find the set $A-B$… | The set difference $A - B$ is defined as the set of elements that are in $A$ but not in $B$. |
| None | Dry concrete can be made by mixing sand, gravel a… | Let x be the multiplier for the ratio. Then, we have: \(1x + 2x + 3x = 1200\) |
| None | $5 \times 5$ | This is a simple multiplication problem. We can solve it directly. |
| None | UDrigatoria Um entregador de fast food ganha por … | Set up an equation to solve for the distance (x) in kilometers: \(3 + 1.5x = 18\) |
| None | Solve for $x$. \[ \begin{array}{l} \frac{x}{-3}=8… | Multiply both sides of the equation by -3: \(x = 8 \times -3\) |
| None | 19. $\int_{-\infty}^{0} z e^{2 z} d z$ | First, we recognize that the given integral is an improper integral, so we need to find the limit o… |
| None | Bookwork code: CO2 Calculator The diagram below s… | Find the sum of the numbers in the last row and last column: \(1+2+3+4=10\) for both. |
| None | What is an equation of the line that passes throu… | Find the slope of the line using the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ |
| None | The cost of printing a math workbook is a setup c… | Let the setup cost be $x$ and the cost per book be $y$. We can set up two equations based on the gi… |
| None | Peter measures the heights of two trees and the l… | Let the height of the second tree be x. We can set up a proportion: |
| None | 22. In $\triangle A B C, \angle A=85^{\circ}, c=1… | \(\sin A = \sin 85^\circ \approx 0.9962\) |
| None | Find the $7^{\text {th }}$ term of the geometric … | Given a geometric sequence with first term \(a = 4\), common ratio \(r = \frac{3}{2}\), and we want… |
| None | Qual o resultado de $27^{0,333 \ldots}$ ? | Para resolver essa questão, precisamos calcular a raiz cúbica de 27. A raiz cúbica de um número x é… |
| None | $4+4=$ | Calculate the sum of 4 and 4: \(4 + 4\) |
| None | O MASP - Museu de Arte de São Paulo recebe em méd… | Convert the number of visitors (657000) into a number between 1 and 10: \(6.57\) |
| None | Determine the average value of $f(x)$ over the in… | The average value of a function $f(x)$ over the interval $[a, b]$ is given by the formula: \(\frac{… |
| None | The population of a town is 55,000 . A survey wil… | The population of a town is 55,000. A survey will be sent to 35% of the town's population. We need … |
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