| Topic | Problem | Solution |
|---|---|---|
| None | Given: ( $x$ is number of items) Demand function:… | Given that the demand function is \(d(x)=\frac{1568}{\sqrt{x}}\) and the supply function is \(s(x)=… |
| None | Find the accumulated present value of an investme… | We are given a continuous money flow of $8,000 per year for a 7 year period and an interest rate of… |
| None | 1 Express each of the following in index form. a … | The question is asking to express the given expressions in index form. Index form is a way of writi… |
| None | Determine the radius and interval of convergence … | The given power series is \(\sum_{k=1}^\infty (-1)^k \frac{x^k}{3^k}\). We can rewrite this as \(\s… |
| None | 22. A rocket is shot straight into the air at an … | The height of the rocket after $t$ seconds is represented by the formula \(h=30 t-5 t^{2}\). |
| None | $x^{2}-9 x+18=0$ | This is a quadratic equation in the form of \(ax^{2}+bx+c=0\). The solutions to a quadratic equatio… |
| None | Use separation of variables to find the solution … | The given differential equation is a first order linear differential equation. The method of separa… |
| None | $(6 x)^{2}$ simplified expression | The question is asking for the simplified expression of \((6x)^{2}\). |
| None | Giving a test to a group of students, the grades … | The problem provides a table summarizing the grades and gender of a group of students. The table is… |
| None | Find the average value over the given interval. \… | The average value of a function $f(x)$ over the interval $[a, b]$ is given by the formula: \[\frac{… |
| None | outfind out the value of $x: x i 2-1=0$ find out … | The main question seems to be finding the value of $x$ in the equation $x * 2 - 1 = 0$. |
| None | Question 3 (1 point) Solve the linear-exponential… | Set the two equations equal to each other: \(0.6x - 4.3 = (x - 5)^2 - 1\). |
| None | Solving Steps Add 1 to both sides of the equation… | The question is asking to solve the equation \(x^2 = 1\). |
| None | 4. (5pts) The profit function is defined to be th… | First, we need to find the profit function $P(x)$, which is the revenue function $R(x)$ minus the c… |
| None | Solve the exponential equation without using loga… | Rewrite the equation with the same base: \((2^2)^{-x} = (2^4)^{x+12}\) |
| None | Use separation of variables to find the solution … | This is a simple first order differential equation. The general solution to such an equation is giv… |
| None | My friend Naxvip has either no more than 4 pisque… | \( 0 \leq x \leq 4 \) or \( x \geq 16 \) |
| None | The perimeter of a rectangle is $86 \mathrm{~cm}$… | The perimeter of a rectangle is given by the formula \(2 \times (\text{length} + \text{width})\). W… |
| None | An unknown radioactive element decays into non-ra… | Given that the radioactivity of a sample decreases by 33 percent in 880 days, we can use this infor… |
| None | Solve $|x-8| \leq 4$ | The absolute value of a number is its distance from zero on the number line. Therefore, the inequal… |
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