ALL Problems

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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