| Topic | Problem | Solution |
|---|---|---|
| None | $16 v^{2}+1-8 v$ | Given expression: \(16v^2 - 8v + 1\) |
| None | Olivia is looking to take out a 30-year mortgage … | Given that Olivia is looking to take out a 30-year mortgage from a bank offering an annual interest… |
| None | Resoudre \( a^{2}+\frac{1}{a^{2}}+b^{2}+\frac{1}{… | Write as two separate equations: a^2+b^2=2 and \frac{1}{a^2}+\frac{1}{b^2}=2. |
| None | \#2A Find the area of the shaded region below. \[… | Find the intersection points of the lines $y=-x+2$ and $y=16x-12$ by solving the equation $-x+2=16x… |
| None | $16 \frac{2}{3}-8 \frac{5}{6}$ | Convert the mixed numbers into improper fractions. The first number, \(16 \frac{2}{3}\), becomes \(… |
| None | If the discriminant of an equation is zero, which… | The discriminant of a quadratic equation is the part under the square root in the quadratic formula… |
| None | Which two values of $x$ are roots of the polynomi… | Given the polynomial equation \(x^{2}+5x+9=0\), we are asked to find the roots of this equation. |
| None | Solve for the future value ( FV) of the following… | Given an investment of $250 with an annual interest rate of 8.5% compounded quarterly for 6 years, … |
| None | If the infinite curve $y=e^{x}, x \geq 0$, is rot… | We are given the infinite curve \(y=e^{x}, x \geq 0\), and we are asked to find the area of the sur… |
| None | Michael is saving money and plans on making month… | Given that Michael wants to end up with $137,000 after 10 years, and the account earns an annual in… |
| None | Khan Academy Adding \& subtracting nega Google Cl… | Find a common denominator for the two fractions: \(\text{lcm}(2, 5) = 10\) |
| None | $8.837=14 e^{-0.21 x}$ | Given the equation \(8.837=14 e^{-0.21 x}\). |
| None | A garden has the shape of a rectangle. This garde… | Let the width of the old garden be W and the length be L. |
| None | $y=3 x+2$ | Given the equation: \(y = 3x + 2\) |
| None | In Exercises 28-33, determine conditions on the s… | A set of vectors is linearly dependent if there exist scalars, not all zero, such that a linear com… |
| None | The curves $\vec{r}_{1}(t)=\left\langle 3 t, t^{4… | Given the curves \(\vec{r}_{1}(t)=\left\langle 3 t, t^{4},-t^{5}\right\rangle\) and \(\vec{r}_{2}(t… |
| None | Suppose that $\vec{r}^{\prime}(t)=<10 t, e^{0.2 t… | We are given the derivative function of a vector function, \(\vec{r}^\prime(t)=<10t, e^{0.2t}, \sqr… |
| None | Evaluate the limit \[ \lim _{t \rightarrow 0} \fr… | The limit of a vector is the vector of the limits of its components. So, we can calculate the limit… |
| None | 10 The recommended daily calcium intake for a 20-… | Let m be the number of cups of milk and j be the number of cups of juice. The total calcium intake … |
| None | Use the exponential decay model, $A=A_{0} e^{k t}… | Given that the half-life of a certain substance is 24 years, we can use the exponential decay model… |
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