| Topic | Problem | Solution |
|---|---|---|
| None | Find the mean, variance, and standard deviation o… | Given values are n=70 and p=0.4. |
| None | The half-life of Palladium-100 is 4 days. After 2… | We are given that the half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium100 … |
| None | Given the vectors $\vec{u}=7 i+10 j$ and $\vec{v}… | Given the vectors \(\vec{u}=7 i+10 j\) and \(\vec{v}=3 i+2 j\), we are to find the angle (in degree… |
| None | Given a vector $q$ with length 3 and direction an… | We are given a vector $q$ with length 3 and direction angle $32^{\circ}$. We are asked to write $q$… |
| None | 8. Recall that $\cos x=\sum_{n=0}^{\infty} \frac{… | Given the power series for \(\cos x\) as \(\cos x=\sum_{n=0}^{\infty} \frac{(-1)^{n} x^{2 n}}{(2 n)… |
| None | The amount of carbon-14 present in animal bones a… | The problem is asking for the time $t$ when the amount of carbon-14 in the bone is $64\%$ of the or… |
| None | In a nuclear disaster, there are multiple dangero… | In a nuclear disaster, there are multiple dangerous radioactive isotopes that can be detected. If 9… |
| None | Consider the following function \[ f(x)=7 \sin (x… | Consider the function \(f(x)=7 \sin (x)+3 \cos (x), \quad 0 \leq x \leq 2 \pi\) |
| None | Predict the length of the repeat and the delay be… | The length of the repeat of the decimal expansion of a fraction 1/n is related to the order of 10 m… |
| None | 11. The owner of a grocery store had an income of… | Given that the income of the grocery store is \$6145 and the operating costs are \$3920. |
| None | 14 The regular price of an item at a store is \( … | \text{Sale price} = p - (0.2 \times p) |
| None | A contractor builds homes of 9 different models a… | We are given a problem where a contractor builds homes of 9 different models and presently has 4 lo… |
| None | Answer the following questions about the sphere w… | Completing the square in \(x\), \(y\), and \(z\), we get \((x - 4)^2 + (y + 3)^2 + z^2 = 16\). |
| None | A hotel is in the shape of a cylinder, with a cir… | The problem provides that the circumference of the foundation is 4 times the radius, increased by 1… |
| None | 1. Write the given fraction as a percent using a … | Write the given fraction as a percent using a calculator: \(\frac{7}{18}\). Round the answer to the… |
| None | Find (a) the number of subsets and (b) the number… | The number of subsets of a set is given by the formula \(2^n\), where n is the number of elements i… |
| None | (a) $\left[\begin{array}{llll}1 & t+2 & 3 & -6\en… | Given the equation: \(\left[\begin{array}{llll}1 & t+2 & 3 & -6\end{array}\right]=3\left[\begin{arr… |
| None | 28 C5순 1082 두 점 $\mathrm{A}(-4,7), \mathrm{B}(1, … | \(AC = 3CB\) |
| None | $-8(-4 y-2)=-5 y+7$ | \(-8(-4y-2)=-5y+7\) |
| None | 4. Calculate the measure of $\angle \mathrm{ABC}$… | Let $x$ be the number of degrees in $\angle A$. Then $\angle C=4x^\circ$, and $\angle B$ is also $4… |
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