| Topic | Problem | Solution |
|---|---|---|
| None | 2. (4) At a certain instant each edge of a cube i… | We are given a cube with edge length $s = 5$ inches and the rate of change of volume $\frac{dV}{dt}… |
| None | 7. For the following set of data find the mean, m… | First, find the mean by adding all the numbers and dividing by the total count of numbers: \(\frac{… |
| None | 6. Solve by factoring. (4 marks) \[ \begin{array}… | First, sort the data set: \(0, 1, 2, 2, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 13, 18\) |
| None | 11. The volume of a cylinder is $602.88 \mathrm{~… | Given the volume of the cylinder, V = 602.88 cm^3, and the radius of the base, r = 4 cm. |
| None | $16 x^{2}+8 x-6 x-3$ | Simplify the given expression by combining like terms: $16x^2 + 8x - 6x - 3$ |
| None | A house sells for $\$ 160,000$ and a $20 \%$ down… | The down payment is 20% of the total cost of the house. To find this, we need to multiply the total… |
| None | You saved $\$ 160$ on your new laptop because you… | The problem is asking for the original price of the laptop. We know that the discount was $160, whi… |
| None | A humarities professor assigns letter grades on a… | The problem is asking for the minimum score required for an A grade. According to the grading schem… |
| None | Complete the parametric equations for the line wh… | We are given two planes $6 x-12 y+2 z=8$ and $7 x-15 y-3 z=21$. The intersection of these two plane… |
| None | Let $\vec{r}(t)=\langle-3,1,3\rangle+\langle 4,0,… | Given the lines with vector equations \(\vec{r}(t)=\langle-3,1,3\rangle+\langle 4,0,5\rangle t\) an… |
| None | Name: ID: A 44. Martina's toy boat has a base tha… | Given the base of the boat is 50 cm, the width of the sail (NO) is half the width of the base, so N… |
| None | 43. Television screens and computer monitors are … | Given the width \(w = 35\) cm and the diagonal \(d = 46\) cm of the monitor, we can use the Pythago… |
| None | Convert the following decimal to a percent: 0.08 | Convert the following decimal to a percent: 0.08 |
| None | Convert the following percent to a decimal: $0.09… | We can solve this problem by division. Alternatively, we can multiply the numerator and denominator… |
| None | Explain the difference between an angle of elevat… | An angle of elevation is the angle formed between a horizontal line and the line of sight when look… |
| None | Write an equation of a sphere if one of its diame… | Given the endpoints of the diameter of the sphere as $(-5,0,3)$ and $(-11,-4,5)$, we can find the c… |
| None | The table below shows values for $f(x, y)$, with … | The table shows values for $f(x, y)$, with $x$ values down the side and $y$ values across the top. |
| None | The table below shows values for $f(x, y) . x$ va… | The table shows values for $f(x, y)$. $x$ values are down the side, and $y$ values are across the t… |
| None | Find the volume of the parallelepiped determined … | We are given three vectors \(\vec{a} = \langle 3,5,-1 \rangle\), \(\vec{b} = \langle 0,2,4 \rangle\… |
| None | The number of calories in 12 randomly selected mi… | First, calculate the mean (average) of the data set. The data set is \([1650, 360, 560, 870, 190, 4… |
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