| Topic | Problem | Solution |
|---|---|---|
| None | Find formulas for $X, Y$, and $Z$ in terms of $A,… | We are given the matrix equation \(\left[\begin{array}{cc} A & B \\ C & 0 \end{array}\right]\left[\… |
| None | The formula \( W=0.86 g^{2}-0.01 g+5.9 \) models … | \(W = 0.86(3)^{2} - 0.01(3) + 5.9\) |
| None | What would the average velocity of this object be… | Find the total displacement (change in position) from the graph. |
| None | Here is a regular pentagon. Calculate the size of… | \( n = 5 \) |
| None | What is the intermediate step in the form \( (x+a… | 1. x^2-27x+31=-13x-14 |
| None | A student survey asked "What is the length of you… | \( \text{Mean} = \frac{\text{Sum of data}}{\text{Number of data values}} \) |
| None | 1. Найти неопределенные интегралы. a) \( \int \fr… | 1.а) Пусть \( u = \operatorname{arctg} x \), тогда \( \frac{du}{dx} = \frac{1}{1+x^{2}} \). |
| None | Hawa models a can of ground coffee as a right cyl… | \( V = \pi r^2 h \) |
| None | 4. The temperature in Chicago is \( -7^{\circ} \m… | Subtract the temperature in Chicago from the temperature in Milwaukee: \( (-13) - (-7) = -13 + 7 \) |
| None | Write an equation in slope-intercept form of the … | m=\frac{y_2-y_1}{x_2-x_1} |
| None | If $f(x)$ is a linear function, $f(-4)=3$, and $f… | We are given a linear function $f(x)$, and two points on the line, $(-4, 3)$ and $(4, -1)$. |
| None | $4 x-5=35$ | The given equation is \(4x - 5 = 35\). |
| None | Solve the equation $-7 x^{2}-8+x^{4}=0$. If there… | We can rearrange the equation $-7 x^{2}-8+x^{4}=0$ to the form $x^4-7x^2-8=0$. |
| None | 5) $\lim _{x \rightarrow \infty} \sqrt{x^{2}+2 x}… | Given the expression \(\sqrt{x^{2}+2 x}-\sqrt{x^{2}-8 x}\), we are asked to find the limit as x app… |
| None | 1. $a, b, c, d$, and $N$ are positive whole numbe… | First, we rewrite the given equation in terms of exponents: $a^{b/x} c^{1/x} c^{d}=a c a^{5/4} c^{1… |
| None | Find modes of Data Set \[ 4,5,4,4,7,3,5,7,3,7,6,7… | Given the data set [4, 5, 4, 4, 7, 3, 5, 7, 3, 7, 6, 7, 5, 45], we need to find the mode. The mode … |
| None | The following list gives the number of public lib… | The given data set is [11, 11, 7, 7, 8, 7, 8, 9, 8, 9, 10, 9]. |
| None | Use Green's Theorem to evaluate $\oint_{C} \vec{F… | First, we need to find the curl of the vector field \(\vec{F}(x, y)=\langle\sin (x) \cos (y), x y+\… |
| None | Use Green's Theorem to evaluate $\oint_{C} \vec{F… | We are given the vector field \(\vec{F}(x, y)=\langle-5 x y+9,-8 x^{2}+4\rangle\) and the curve C i… |
| None | 15. Solve the equation by graphing. *More than on… | Given the quadratic equation: \(x^2 - 3x - 4 = 0\) |
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