| Topic | Problem | Solution |
|---|---|---|
| None | Solve $\csc ^{2} \theta=2$ on the interval $(0,2 … | Rewrite the equation as \(\frac{1}{\sin^2 \theta} = 2\) |
| None | $7 \frac{8}{9}-3 \frac{3}{4}$ | Convert the mixed numbers into improper fractions: $\frac{71}{9} - \frac{15}{4}$ |
| None | $3 \frac{5}{8}+2 \frac{5}{6}$ | Convert the mixed numbers to improper fractions: \(3 \frac{5}{8} = \frac{29}{8}\) and \(2 \frac{5}{… |
| None | $5 \frac{7}{9}-2 \frac{3}{7}$ | Convert mixed numbers to improper fractions: $5 \frac{7}{9} = \frac{52}{9}$ and $2 \frac{3}{7} = \f… |
| None | $\sqrt{45}$ is between A) 6.5 and 6.6 B) 6.6 and … | Find the square root of 45: \(\sqrt{45} \approx 6.708\) |
| None | Approximate the value of $\sqrt{34}$ to the neare… | Calculate the square root of 34: \( \sqrt{34} \approx 5.830951894845301 \) |
| None | $\sum_{n=1}^{\infty} \frac{1-3-5 \cdots(2 m-1)}{3… | Find the general term: \(a_n = \frac{-(n^2 - 1)}{3(1 - 2 \cdot 3 + \cdots + (-n))}\) |
| None | The function $f$ is exponential and the 1-unit gr… | The function is exponential, which means it has the form \(f(x) = ab^x\). The 1-unit growth factor … |
| None | $\begin{array}{l}y=4(x-7) \\ y=4 x-28\end{array}$ | Convert the first equation to slope-intercept form: \(y = 4x - 28\) |
| None | Is 5 a factor of $10 p+25 ?$ yes no Submit | Given the expression: \(10p + 25\) |
| None | Determine the surface area of the rectangular pri… | Given the measurements of the rectangular prism are: length (l) = 8 m, width (w) = 2 m, and height … |
| None | Work with numbers between 0 and 1 in standard for… | 1) a) $0.007=7 \times 10^{-3}$, b) $0.06=6 \times 10^{-2}$, c) $0.0008=8 \times 10^{-4}$, d) $0.000… |
| None | In circle $O, \mathrm{~m} P N=149^{\circ}$. Solve… | Given m∠PON = (12x - 48)° and m∠PN = 149°, we can use the sum of angles in a triangle to find the m… |
| None | \( \triangle B^{\prime} C^{\prime} D^{\prime} \) … | Identify corresponding vertices between the triangles. |
| None | Find the product. \[ -3.5\left(\frac{5}{7}\right)… | Multiply -3.5 by \(\frac{5}{7}\): \(-3.5 \times \frac{5}{7}\) |
| None | In circle $J$ with $m \angle H J K=66^{\circ}$ an… | Convert the given angle from degrees to radians: \(\theta = \frac{66 \times \pi}{180} \approx 1.15 … |
| None | In circle R with $m \angle Q R S=42^{\circ}$ and … | Convert the angle from degrees to radians: \(42^\circ = 0.733\,\text{radians}\) |
| None | Solve by completing the square to obtain exact so… | Rewrite the equation in the form of a quadratic equation: \(x^2 + 8x - 7 = 0\) |
| None | Find the zeros of the function. Give exact answer… | Given the quadratic equation: \(f(x) = x^2 - 14x + 53\) |
| None | State whether the function is linear or quadratic… | Given function: \(f(x) = 4x - 9\) |
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