| Topic | Problem | Solution |
|---|---|---|
| None | Write the equation in exponential form. \[ \log \… | Write the equation in exponential form. The equation given is \(\log \left(\frac{1}{100,000}\right)… |
| None | Factor. \[ z^{2}-8 z+12 \] | To factor the quadratic equation \(z^{2}-8 z+12\), we need to find two numbers that multiply to 12 … |
| None | Compute the total and annual returns on the descr… | Calculate the total cost of the investment by multiplying the number of shares bought (200) by the … |
| None | Multiply. \[ -5 \frac{1}{2} \cdot 6 \frac{3}{4} \] | \(-5 \frac{1}{2} = -\frac{11}{2}\) because \(5 \times 2 + 1 = 11\) |
| None | Determine the relationship between the functions … | The functions f(x) and g(x) are related in such a way that g(x) is a vertical translation of f(x) b… |
| None | Question Simplify: $\left(3 x^{3}\right)^{3}\left… | The given expression is a product of two terms, both raised to a power. To simplify this, we can us… |
| None | When you calculate the number of permutations of … | The question is asking about the definition of permutations of $n$ distinct objects taken $r$ at a … |
| None | Frank is looking for the best deal on a televisio… | First, we need to calculate the price of the television at the superstore. The superstore marks up … |
| None | Question The table below shows an incomplete prob… | The sum of all probabilities in a probability density function must equal 1. Therefore, to find the… |
| None | b. the domain of $(g \circ f)(x)$ in interval not… | For the function \((g \circ f)(x)\), the inner function is \(f(x)\) and the outer function is \(g(x… |
| None | 4. Han wants to build a dog house. He makes a lis… | Define the following variables: P for the number of square feet of plywood Han buys, W for the numb… |
| None | Given that $\int_{1}^{3} e^{x} d x=e^{3}-e$, use … | The given integral is \(\int_{1}^{3} e^{x} d x = e^{3}-e\). We need to evaluate \(\int_{1}^{3} 5 e^… |
| None | Maya invested $\$ 19,000$ in an account paying an… | Given that Maya and Jaxon both invested $19,000 in different accounts, we are to find how much long… |
| None | You decide to begin selling bottles of water at t… | Let's denote the number of bottles of water sold in a week as \(n\). |
| None | If 85 tickets are sold and 2 prizes are to be awa… | Let's denote the number of tickets the person has as \(p\), and the total number of tickets as \(t\… |
| None | If $f(x)=-5 x+2$, find $f(-2)$ \[ f(-2)= \] | The function \(f(x)=-5x+2\) is a linear function. To find \(f(-2)\), we substitute \(x\) with \(-2\… |
| None | The prices of the 19 top-rated all-season tires f… | First, arrange the data in ascending order: \(75, 79, 81, 82, 86, 87, 89, 90, 90, 90, 91, 91, 95, 9… |
| None | The Motor Vehicle Department has found that the p… | The probability of an event not happening is 1 minus the probability of the event happening. So, th… |
| None | If $f(x)=-3|x-5|$, find $f(2)$ \[ f(2)= \] | Let's find the value of the function $f(x)=-3|x-5|$ at $x=2$. |
| None | All Angles Question 14, 4.3.27 Find $\theta$ for … | \(\theta = \sin^{-1}(0.7525)\) |
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