| Topic | Problem | Solution |
|---|---|---|
| None | Find the midpoint between the interval $[-5,7]$. | Find the midpoint between the interval $[-5,7]$. |
| None | Solve the system by the addition method. \[ \begi… | Given the system of equations: \(3x - 5y = 11\) and \(2x + 4y = 0\) |
| None | Find the simple interest. Assume a 360-day year. … | Given the principal amount (P) is $5170.13, the annual interest rate (R) is 7.2% or 0.072 in decima… |
| None | Factor. \[ y^{2}-36 \] | This is a difference of squares problem. The difference of squares formula is a^2 - b^2 = (a - b)(a… |
| None | If $A=\{s, u\}$ and $B=\{v, w, x\}$, then complet… | The Cartesian product of two sets A and B, denoted by A × B, is the set of all ordered pairs (a, b)… |
| None | Use the factor theorem and synthetic division to … | The Factor Theorem states that a polynomial \(f(x)\) has a factor \((x - k)\) if and only if \(f(k)… |
| None | Find the vertical asymptote. \[ \begin{array}{l} … | Given the function \(y=\frac{3x-3}{x+1}\), we are asked to find the vertical asymptote. |
| None | Find the $z$-score for which $70 \%$ of the distr… | The z-score is a measure of how many standard deviations an element is from the mean. In this case,… |
| None | Suppose the demand function for a product is give… | Given the demand function for a product is \(D(q)=-0.013 q+59.8\). We are asked to find the Consume… |
| None | a radius 6 and center $(0,2)$ ? A small radio tra… | The problem can be solved using the Pythagorean theorem and the properties of a circle. The signal … |
| None | Find the inverse of the following function. \[ f(… | The problem is asking for the inverse of the function \(f(x)=7x^{2}+4\) where \(x \geq 0\). |
| None | A theater group made appearances in two cities. T… | Let's denote the hotel charge before tax in the first city as \(x\) and in the second city as \(y\). |
| None | The balle shows the number of cars and trucks tha… | Define the total number of vehicles as 2445, the total number of cars as 1446, and the number of ca… |
| None | A certain drug can be used to reduce the acid pro… | The null and alternative hypotheses are \(H_{0}: p=0.91\) versus \(H_{1}: p>0.91\). |
| None | A certain virus infects one in every 500 people. … | Let's denote the event 'the person is infected' as A and the event 'the person tests positive' as B. |
| None | 35. A test is made of $H_{0} ; \mu=50$ versus $H_… | Given that the sample mean \(x = 56\), the population mean \(\mu = 50\), the population standard de… |
| None | Factor. \[ 3 x^{2}+19 x+30 \] | The given expression is a quadratic equation of the form \(ax^2 + bx + c\). |
| None | A committee of 6 students is to be selected from … | The problem is asking for the number of ways to select 6 students out of 17. This is a combination … |
| None | If $h(2)=3$ and $h^{\prime}(2)=-4$, find \[ \left… | The problem is asking for the derivative of the function \(\frac{h(x)}{x}\) evaluated at \(x=2\). |
| None | Find the sum of the first 13 terms of the geometr… | Define the first term (a) as 5, the common ratio (r) as 2, and the number of terms (n) as 13. |
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