| Topic | Problem | Solution |
|---|---|---|
| None | part 1 of 5 Let \[ \cos \theta=\frac{3}{8}, 0<\th… | Let \(\cos \theta=\frac{3}{8}\), where \(0<\theta<\frac{\pi}{2}\) |
| None | Convert the following degree measure to radian me… | Understand the problem: We are asked to convert a degree measure to a radian measure. |
| None | Enter the value of $\sum_{n=1}^{4} n-3$ \[ \sum_{… | The question is asking for the sum of the series where each term is n-3, for n from 1 to 4. This me… |
| None | In a recent transportation survey, 500 high schoo… | Let's denote the number of students who own an automobile as \(automobile_owners = 91\) |
| None | Check the solution as indicated. Is -5 a solution… | Substitute -5 for x in the equation $4-x=9$ |
| None | How many solutions are there to the system of equ… | The system of equations is given by \(y=-2 x^{2}+2\) and \(y=-6\). |
| None | A runner starts $178 \mathrm{~m}$ West of a flagp… | A runner starts 178 m West of a flagpole and runs East at 8.1 m/s. We need to find out how long (in… |
| None | Suppose you walk to your friend's house in $15 \m… | Let's denote the distances to your friend's house, the store, and the school as \(A=476\) m, \(B=68… |
| None | QUESTION 10 A motorist traveling north at $32.0 \… | First, calculate the relative speed of the motorist and the police car, which is the sum of their s… |
| None | What is the present value of an ordinary annuity … | Given an ordinary annuity with payments of $12,000 at the end of every six months for 10 years. The… |
| None | Use the given degree of confidence and sample dat… | Given the sample size \(n=30\), the sample mean \(\bar{x}=84.6\), the sample standard deviation \(s… |
| None | A bank features a money market account with an an… | Let's denote the principal amount (the initial amount of money) as \(P\), which is \$5100. |
| None | A bank features a savings account that has an ann… | Given that Ognena deposits $11,500 into a savings account with an annual interest rate of 2.3% comp… |
| None | Answer: 0.042 \# 10 Dogs enter a doggie park at a… | Given that dogs enter a doggie park at a rate of \(e(t)=2 t-\sin t\) dogs per hour and they leave t… |
| None | \# 9 Let $h$ be the piece-wise function $h(x)=\le… | The function is piece-wise, so we need to consider two cases: \(x \leq 1\) and \(x > 1\). |
| None | $-2 y=18$ | Divide both sides of the equation by -2 to solve for y: $\frac{-2y}{-2} = \frac{18}{-2}$ |
| None | Perform the indicated operations and write the re… | Given the complex number \((-6-\sqrt{-5})^{2}\) |
| None | Select the operation that will provide informatio… | Select the operation that will provide information on the change in the per-unit profit from 125 to… |
| None | (1 point) Find the unit tangent vector at the ind… | Given the vector function \(\mathbf{r}(t)=e^{9 t} \cos (t) \mathbf{i}+e^{9 t} \sin (t) \mathbf{j}+e… |
| None | Solve for $x$ \[ 3 \sin ^{-1} x=\frac{\pi}{6} \] | The given equation is \(3 \sin ^{-1} x=\frac{\pi}{6}\). |
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