| Topic | Problem | Solution |
|---|---|---|
| None | Write the expression as a single logarithm. \[ 7 … | Given the expression \(7 \log _{c}(7 x+1)+\frac{1}{2} \log _{c}(x+8)\) |
| None | Write the expression as a single logarithm. \[ \f… | Given the expression \(\frac{1}{5} \log _{8} z+6 \log _{8} x-\log _{8} y\) |
| None | Write the expression as a single logarithm. \[ 2\… | The given expression is \(2\left(\log _{4} w-4 \log _{4} y\right)+2 \log _{4} z\) |
| None | Suppose that the functions $h$ and $g$ are define… | For part (a), we need to find the value of \(\left(\frac{h}{g}\right)(2)\). This means we need to s… |
| None | 34. A sample of size $n=50$ is drawn from a popul… | We are given a sample size of \(n=50\), a population standard deviation of \(\sigma=26\), and a Z-s… |
| None | Fill in the missing values to make the equations … | Use the logarithm properties to solve these equations. The properties are as follows: |
| None | A rectangular page is to contain 27 square inches… | Let the width of the printed area be \(x\) inches and the height be \(y\) inches. Then the area of … |
| None | Use the shell method to find the volume generated… | The shaded region can be divided into two parts: a rectangle with a height of 5 units and a width o… |
| None | Paul has two jobs, working at a restaurant and tu… | Paul earns $14 an hour at the restaurant and has already worked 5 hours. So, he has already earned … |
| None | The following sequence of 22 consecutive data val… | Given the sequence 1110011100001110101001, we have 10 zeros and 12 ones, and a total of 22 observat… |
| None | Suppose that Marissa bought a new tablet for $\$ … | Suppose that Marissa bought a new tablet for $400. The resale value is expected to decrease by $40 … |
| None | Suppose that $45 \%$ of all babies born in a part… | We are given that 45% of all babies born in a particular hospital are boys. If 7 babies born in the… |
| None | The manufacturer of a fertilizer guarantees that,… | This problem is a binomial probability problem. The probability of success, which is the germinatio… |
| None | Suppose $Z$ follows the standard normal distribut… | First, we need to understand that the standard normal distribution has a mean of 0 and a standard d… |
| None | Here is a system of equations. \[ \left\{\begin{a… | The system of equations is a set of linear equations. To find the solution, we need to find the poi… |
| None | If $\sin \theta=\frac{\sqrt{3}}{2}$, find the deg… | The sine function gives the ratio of the length of the side opposite the angle to the length of the… |
| None | Determine the midline of the following function: … | Determine the midline of the following function: \(y=-\sin \left(\frac{1}{2} x\right)-8\) |
| None | Solve for $y$ in the equation below. Round your a… | Take the natural logarithm (ln) of both sides of the equation \(e^{y-3}=4\). This gives us \(y-3 = … |
| None | Find all the pairs of integer factors of the give… | Find all the pairs of integer factors of the given integer. Remember to include negative integers a… |
| None | Determine the vertical shift of the following fun… | Determine the vertical shift of the following function: \(y=-2 \sin \left(\frac{3}{4} x\right)-6\) |
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