| Topic | Problem | Solution |
|---|---|---|
| None | Find $k$ so that the line through $(-2,3)$ and $(… | Given two points (-2,3) and (k,6), the slope of the line passing through these points is given by \… |
| None | Find all the zeros, real and nonreal, of the poly… | First, we set the polynomial equal to zero: \(3x^2 - 8x + 4 = 0\). |
| None | Solve the equation $x^{3}-13 x^{2}+47 x-35=0$ giv… | Given that 1 is a zero of the function, we can use synthetic division to find the other zeros. Synt… |
| None | Find the present value of $\$ 5000$ payable at th… | We are given that the future value (FV) is $5000, the interest rate (r) is 3% or 0.03, and the time… |
| None | The probability that an oven will have failed aft… | The probability that an oven will have failed after 1000 hours of use is 0.09. |
| None | Um fabricante de achocolatado pretende comerciali… | Primeiro, precisamos encontrar a altura do prisma, que chamaremos de 'b'. Como o volume do prisma é… |
| None | Let $A$ be an $n \times n$ matrix. The set of all… | The question is asking whether the set of all \(n \times n\) matrices \(X\) that satisfies \(\left(… |
| None | Determine a primitiva $F(x)$ da função \[ f(x)=\f… | Primeiro, vamos dividir o polinômio no numerador pelo denominador para simplificar a expressão. Iss… |
| None | Solve. \[ 5 \ln x=-10 \] Select the correct choic… | Divide both sides of the equation by 5 to get \(\ln x = -2\). |
| None | 18. How many ways are there to elect a President,… | This problem is about permutations. We have 32 members in a club and we need to choose 4 of them fo… |
| None | Simplify. \[ \left(\frac{-2 y}{x^{3}}\right)^{5} … | The given expression is a power of a fraction. To simplify it, we can apply the power to both the n… |
| None | $\left\{\begin{array}{l}x+y=360 \\ x-y=140\end{ar… | Agora há uma solução para o problema de matemática. |
| None | Gavin wrote the equation $p=\frac{3(s+100)}{4}$ t… | Given the equation \(p=\frac{3(s+100)}{4}\), we are asked to solve for \(s\). |
| None | Suppose a rock dropped into a pond creating a cir… | Suppose a rock dropped into a pond creating a circular ripple travelling at a speed of \(80 \mathrm… |
| None | Let $f(x)=2 x^{3}-36 x^{2}+210 x+84$ (a) The seco… | Find the first and second derivatives of the function f(x): |
| None | a) Find all solutions for $\tan (x)=0$. b) If $\s… | The tangent function is zero at multiples of \(\pi\). So, the solutions to \(\tan (x)=0\) are \(x=n… |
| None | For the polynomial below, what is the power of th… | Given the polynomial \(x^{3}+\frac{1}{3} x^{4}+6 x+5\) |
| None | What is the length of the adjacent side of this r… | Given a right-angled triangle with one angle being $71^\circ$ and another angle being $19^\circ$. W… |
| None | Santiago receives $\$ 120$ per year in simple int… | Let's denote the amount invested at 2% as x, at 3% as y, and at 4% as z. |
| None | Use the following information to answer question … | Let the price of the salad be x and the price of the soup be x + 2. |
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