| Topic | Problem | Solution |
|---|---|---|
| None | The length of a rectangle is $3 \mathrm{~m}$ less… | We are given that the length of a rectangle is 3m less than twice the width, and the area of the re… |
| None | Find the standard form of the equation of the hyp… | The standard form of the equation of a hyperbola with its center at the origin (0,0) is given by: \… |
| None | Find the standard form of the equation of the hyp… | The standard form of the equation of a hyperbola with a vertical transverse axis is given by \(\fra… |
| None | Use the percent formula, $A=P B$, where $A$ is $P… | We are given that \(A = 40.6\) and \(P = 29\% = 0.29\). We need to find \(B\). We can rearrange the… |
| None | Express the given fraction as a percent. \[ \frac… | Let's start by dividing the numerator by the denominator: \(\frac{7}{8} = 0.875\) |
| None | Out-of-pocket spending in a country for health ca… | Let's denote the year 2003 as year 0. Therefore, the year 2008 corresponds to year 5. We can find t… |
| None | Find the half-life of a radioactive element, whic… | We are given the decay function of a radioactive element as \(A(t)=A_{0} e^{-0.022 t}\), where \(t\… |
| None | 34. What is the solution to the following equatio… | The given equation is a simple linear equation in one variable. To solve for y, we can subtract 2y … |
| None | Does the point \( (27,-58) \) satisfy the equatio… | Check if the point \((27,-58)\) satisfies the equation \(y=-58\) |
| None | The number of bacteria in a certain population in… | We are given a continuous exponential growth model, which is represented by the formula \(N(t) = N_… |
| None | For the real-valued functions $g(x)=\sqrt{3 x+15}… | Define the functions \(g(x) = \sqrt{3x + 15}\) and \(h(x) = x - 1\). |
| None | Consider the following data set. Round your answe… | Given the data set: \(56, 76, 81, 94, 77, 94, 69, 73, 60, 94\) |
| None | 4. $[0 / 1$ Points] DETAILS PREVIOUS ANSWERS SCAL… | The given function is \(f = \sqrt{\frac{49x^{3} + 5x - 9}{x^{3} - 6x + 4}}\). |
| None | A circular sector has an area of $192 \mathrm{in}… | The area of a circular sector is given by the formula \(A = \frac{1}{2} r^2 \theta\), where \(r\) i… |
| None | Use the change-of-base theorem to find the logari… | We are given the logarithm \(\log _{1 / 6} 3\) and we are asked to find its value. |
| None | Use the given conditions to write an equation for… | Given a line passing through the point (-4,8) and parallel to the line whose equation is 3x-5y-6=0. |
| None | Use the graph of $f(x)=\log _{2} x$ to graph the … | The function \(f(x)=\log _{2}(x-1)+4\) is a transformation of the function \(f(x)=\log _{2} x\). Sp… |
| None | Find the unknown angles in triangle $\mathrm{ABC}… | We are given one angle (A) and two sides (a and b) of a triangle. We can use the Law of Sines to fi… |
| None | The relationship between the cone's vertex angle,… | Given the Mach number, m = 1.5, we can substitute this into the given formula: \(\sin \frac{\theta}… |
| None | Use the given information to find $(a) \sin (s+t)… | We are given that \(\cos s = \frac{3}{5}\) and \(\sin t = -\frac{12}{13}\). |
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