| Topic | Problem | Solution |
|---|---|---|
| None | A $60 \pi \mathrm{cm}$ B $80 \pi \mathrm{cm}$ Ext… | Let the length of the rectangle be $l$ and the width be $w$. The radius of the quarter-circle is al… |
| None | QUESTION 9 Graph the line containing the given pa… | Step 1: Find the slope: m = \(\frac{y_2 - y_1}{x_2 - x_1}\) = \(\frac{4 - (-8)}{-1 - 2}\) |
| None | 21 14) A 6 -sided die is, with sides numbered $1-… | Let the probability of rolling a 5 be x, and the probability of not rolling a 5 be (1 - x). |
| None | Find the annual interest rate of a loan of $\$ 2,… | We are given the following values: Principal amount (P) is $2000, the time (t) is 3 years, and the … |
| None | $\int \frac{4}{x(\ln x+1)^{2}} d x$ | \(u = \ln x + 1\) |
| None | The data below gives the number of pages, $x$, an… | The given data provides the number of pages, denoted as \(x\), and the cost, denoted as \(y\), for … |
| None | b) If the probability of rolling two 5 's is eyua… | First, we need to find the probability of rolling two 5's. Since each roll is independent, the prob… |
| None | Given the vector-valued functions \[ \begin{array… | Given the vector-valued functions \(\vec{u}(t)=e^{-2 t} \vec{i}+e^{-t} \vec{j}-2 t \vec{k}\) and \(… |
| None | Which of the following slopes show that the set o… | Given the points C(1,-1), D(3,4), E(5,8), we need to determine if they are collinear. This can be d… |
| None | A coin is biased so that the chance of a head bei… | Let the probability of getting a tail be x, then the probability of getting a head is 3x. Since the… |
| None | Question 4d) Consider the adjacency matrix $M_{D}… | \(M_D = \begin{pmatrix} 0 & 1 & 1 & 1 \\ 1 & 0 & 1 & 1 \\ 1 & 1 & 0 & 1 \\ 1 & 1 & 1 & ? \end{pmatr… |
| None | Miles Work Assig Q $\times$ Final Copy Induc MATH… | First, we need to find the adjacency matrix of the undirected version of $G_C$. To do this, we repl… |
| None | 4. $\int \frac{\sin x}{\sqrt{\cos x}} d x$ | Let $u = \sqrt{\cos x}$, so $u^2 = \cos x$ and $2u \, du = -\sin x \, dx$ |
| None | $\frac{15 \times 10^{-5}}{5 \times 10^{-2}}$ | Divide the coefficients (the numbers before the 'times 10 to the power of' part). In this case, \(\… |
| None | Use a calculator to find the logarithm of the fol… | The problem is asking for the logarithm of 0.0007. In mathematics, the logarithm is the inverse fun… |
| None | Put into power-of-ten form: 0.1 | Put into power-of-ten form: 0.1 |
| None | A pipes manufacturer makes pipes with a length th… | The technician is making a claim about the population mean, so we should perform a t-test for a sin… |
| None | QUESTION 8 Graph the line containing the given pa… | \(m = \frac{y_2 - y_1}{x_2 - x_1}\) |
| None | $\begin{array}{l}1+2= \\ \sqrt{4}\end{array}$ | \(1 + 2 = 3\) |
| None | Expand then factor \[ (3 x+2)^{n} 2-(5 x+3)^{n} 2… | Expand the given expression: \(2(3x + 2)^n - 2(5x + 3)^n\) |
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