| Topic | Problem | Solution |
|---|---|---|
| None | 7) $\int\left(\sec \left(\frac{x}{3}\right) \tan … | Substitute u = \(\frac{x}{3}\), then du/dx = \(\frac{1}{3}\), and dx = 3du |
| None | $\begin{array}{r}38.96 \\ +65.05 \\ \hline\end{ar… | Add the two numbers: \(38.96 + 65.05\) |
| None | 17)Group A measures the speed of a $0.1 \mathrm{~… | Calculate the kinetic energy using the formula KE = 0.5 * m * v^2, where m is the mass of the car (… |
| None | a) $-3 t^{2}+t=0$ | Solve the equation: \(-3t^2 + t = 0\) |
| None | $7 \frac{2}{3}+2 \frac{1}{5}$ | Convert the mixed numbers into improper fractions: \(7 \frac{2}{3} = \frac{23}{3}\) and \(2 \frac{1… |
| None | Solve the equation for $x$ : \[ x^{2}+17 x+60=0 \] | Given the quadratic equation: \(x^2 + 17x + 60 = 0\) |
| None | Write a rule for the pattern below. Use $x$ to re… | Unable to provide a final answer without the given pattern. Please provide the pattern to find the … |
| None | $6 \div 2(1+2)=$ | Solve the expression inside the parentheses: \(1+2=3\) |
| None | $\frac{5}{15}=$ | Find the greatest common divisor (GCD) of the numerator and the denominator: GCD(5, 15) = 5 |
| None | $\frac{44}{48}=$ | Find the greatest common divisor (GCD) of the numerator and the denominator: gcd(44, 48) = 4 |
| None | $\frac{2}{4}=$ | Find the greatest common divisor (GCD) of the numerator and the denominator: GCD(2, 4) = 2 |
| None | - Of the cars on a used car lot, $70 \%$ have air… | Given probabilities: P(AC) = 0.7, P(CD) = 0.4, P(CD ∩ AC) = 0.2 |
| None | Consider a standard deck of 52 cards, with four s… | Find the probability of drawing an Ace: \(P(A) = \frac{4}{52}\) |
| None | ■Andrew Whittaker, computer center manager, repor… | Calculate the average number of failures per day: \(\frac{3}{100} = 0.03\) |
| None | The dollar value $v(t)$ of a certain car model th… | Find the initial value of the car by evaluating the function at t=0: \(v(0) = 26,000(0.80)^{0}\) |
| None | Jon made a Facebook video. On the first day, 2 pe… | 1. Number of people day 1: \(2\) |
| None | 2. $\frac{3 x}{x-5}=\frac{2}{x+3}$ | Cross-multiply: 3x(x+3) = 2(x-5) |
| None | 1. $\frac{1}{x-2}+\frac{1}{x-2}=\frac{1}{2}$ | Combine the two fractions on the left side: \(\frac{2}{x-2} = \frac{1}{2}\) |
| None | Find how fast the circumference of a circl is gro… | Given the rate at which the radius is growing: \(\frac{dr}{dt} = 7 \frac{\text{cm}}{\text{s}}\) |
| None | Find the derivative using the chain rule. \[ f(k)… | Find the derivative of the function using the chain rule: \(f'(k) = \frac{1}{2\sqrt{2k^9 + 7}} \cdo… |
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