| Topic | Problem | Solution |
|---|---|---|
| None | $315 \frac{7}{8} \times 1 \frac{1}{4} \times 3 \f… | Convert each mixed number into an improper fraction. So, $315 \frac{7}{8}$ becomes $\frac{2527}{8}$… |
| None | Solve $x^{2}=25$, where $x$ is a real number. Sim… | The given equation is a simple quadratic equation, $x^{2}=25$, where $x$ is a real number. |
| None | b) $\frac{2 x+10}{x^{2}-4 x+4}+\frac{x^{2}-25}{x-… | Given the expression: \(\frac{2 x+10}{x^{2}-4 x+4}+\frac{x^{2}-25}{x-2}\) |
| None | $1-\sum_{x=0}^{13} b(x ; 19,0.7)$ | The problem is asking for the value of \(1-\sum_{x=0}^{13} b(x ; 19,0.7)\), where \(b(x ; 19,0.7)\)… |
| None | Solve $2 x^{2}-20 x=8$ by completing the square. … | Rearrange the equation so that the x terms are on one side of the equation and the constant is on t… |
| None | What is the c-value needed to complete the square… | Given the quadratic equation \(x^{2}-5 x-12=0\) |
| None | If $\cos (x)=-\frac{14}{23}$ (in Quadrant-111), f… | Given that \(\cos (x)=-\frac{14}{23}\) (in Quadrant-111), we are asked to find the exact value of \… |
| None | Find $y^{\prime \prime}$ if $y=4 \sec x$ | We are given the function \(y = 4 \sec x\). We need to find the second derivative of this function. |
| None | Find $\frac{d r}{d \theta}$. \[ r=4-\theta^{4} \s… | We are given the function \(r = 4 - \theta^4 \sin \theta\) and we are asked to find \(\frac{d r}{d … |
| None | Find $\frac{d s}{d t}$ \[ s=2 \cot t-e^{-t} \] | Given the function \(s=2 \cot t-e^{-t}\). |
| None | Find $\frac{d y}{d x}$ \[ y=6(\tan x+\sec x)(\tan… | Given the function \(y=6(\tan x+\sec x)(\tan x-\sec x)\) |
| None | Find $\frac{d y}{d x}$ \[ y=\cot x-6 \sqrt{x}+\fr… | First, we need to find the derivative of each term in the equation separately. |
| None | a. Apply the Product Rule. Let $u=\left(2 x^{2}+3… | Let \(u=2 x^{2}+3\) and \(v=8 x+5+\frac{1}{x}\) |
| None | 5. Susan and her friends are making a crazy-quilt… | First, we need to calculate the total amount of fabric that Susan and her friends currently have. W… |
| None | The mass of a particular eagle is twice that of a… | Given the initial velocity of the eagle \(v_{i, 1} = 36.5 \, \mathrm{m/s}\), the angle at which the… |
| None | An open train car, with a mass of $2190 \mathrm{~… | This problem involves the principle of conservation of momentum. The momentum before the gravel sta… |
| None | on On of your summer lunar space camp activities … | The gravitational potential energy is given by the formula: \(U = - \frac{GMm}{r}\) where G is the … |
| None | Orange juice, a raisin bagel, and a cup of coffee… | Let's denote the cost of orange juice, a raisin bagel, and a cup of coffee before the increase as O… |
| None | a) $x^{2}-5 x+6=0$ | Esta é uma equação quadrática na forma de \(ax^{2}+bx+c=0\). As raízes da equação podem ser encontr… |
| None | A cylinder begins with a diameter of 28 yards and… | We are given a cylinder with a diameter of 28 yards and a height of 22 yards. The diameter is incre… |
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