Topic | Problem | Solution |
---|---|---|
None | Find the least common multiple of 90 and 20. The … | The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both of… |
None | A ball is dropped from a height of \( 44 \mathrm{… | 1. \( g = 9.81 \\mathrm{m/s^2} \) |
None | Express the following number in decimal notation.… | First, simplify $9.8\times 10^{6}=98\times 10^{5}$. |
None | 1. An airplane consumes $140 \mathrm{~L}$ of fuel… | Let's find the fuel consumption rate per kilometer: \(\frac{140 \mathrm{~L}}{680 \mathrm{~km}} = 0.… |
None | What is the slope of the line that passes through… | The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the fo… |
None | Use the following diagram to answer questions 2 -… | \(A + B + C = 180\) |
None | Find the standard form of the equation of the par… | Given the focus of the parabola at (-1,6) and the directrix at y=2. |
None | Find the difference quotient and simplify your an… | f(x)=x^2-2x+4 \Rightarrow f(6)=6^2-2(6)+4 |
None | Find the slope of the line passing through the po… | The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) can be found using… |
None | For the functions $f(x)=\frac{4}{x-3}$ and $g(x)=… | Given the functions \(f(x)=\frac{4}{x-3}\) and \(g(x)=\frac{13}{x}\), we are asked to find the comp… |
None | In a system the pressure and mass are kept consta… | \( \frac{V_2}{V_1} = \frac{T_2}{T_1} \) |
None | $D(x)$ is the price, in dollars per unit, that co… | Given the demand function \(D(x) = 3000 - 10x\) and the supply function \(S(x) = 2000 + 15x\), we n… |
None | What is the equation of the line that passes thro… | The equation of a line in slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope… |
None | Solve the equation. Be sure to check your propose… | The given equation is \(x - 12 = 17\). To solve for \(x\), we need to isolate \(x\) on one side of … |
None | Given that $f(x)=x^{2}+3 x-70$ and $g(x)=x-7$, fi… | Subtract g(x) from f(x) term by term: \(f(x) - g(x) = (x^2 + 3x - 70) - (x - 7)\) |
None | A particle moves according to the equation \( x=5… | \(x = 5t^5 + 2\) |
None | Question Determine if the series below converges … | First, we can factor the denominator with a little give and take: \[8n^3 + 2 = 8n^3 + 4n^{3/2} + 2 … |
None | The function \( f(t)=4600(0.9)^{\frac{t}{24}} \) … | Evaluate decay factor: 0.9. |
None | 2. Find the sum of the following series. Round to… | Given the geometric series \(6+12+24+\ldots+1536\) |
None | \( 6 \div 2(1+2) \) | \( 6 \div 2(1+2) \) |
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