| Topic | Problem | Solution |
|---|---|---|
| None | Question 1 (1 point) Let $f(x)=\left\{\begin{arra… | The given function is a piecewise function, so we will need to calculate the definite integral sepa… |
| None | Solve for $u$. \[ \frac{u}{2} \leq 3 \] Submit | Multiply both sides of the inequality by 2: \(2*\frac{u}{2} \leq 2*3\) |
| None | Solve the following equation. \[ \log _{40} \math… | The given equation is \(\log _{40} \mathrm{x}=0\). |
| None | The angular position of a rod varies as $\theta=9… | Given the angular position of the bead as \(\theta=9 t^{2}\), we differentiate this with respect to… |
| None | In Bill the Boring's dryer there are 19 black shi… | In Bill the Boring's dryer there are 19 black shirts, 6 gray shirts, 2 black sweaters, and 4 gray s… |
| None | The length of human pregnancies is approximately … | Calculate the z-score for 261 days using the formula \(Z = \frac{X - \mu}{\sigma}\), where \(X\) is… |
| None | A package contains 11 resistors, 4 of which are d… | The problem is asking for the probability of selecting 1 defective resistor out of 4 selected from … |
| None | Use a half-angle formula to find the exact value … | First, we need to calculate the cosine of \( \frac{5 \pi}{4} \), then substitute it into the half-a… |
| None | Solve the logarithmic equation. Be sure to reject… | The given equation is a logarithmic equation. The properties of logarithms state that the sum of tw… |
| None | Given complex numbers $z_{1}$ and $z_{2}$, \[ z_{… | Given complex numbers \(z_{1}\) and \(z_{2}\), where \(z_{1}=1\left(\cos \frac{7 \pi}{4}+i \sin \fr… |
| None | Find the first 4 terms of the recursively defined… | The problem is asking for the first 4 terms of a recursively defined sequence. The first term is gi… |
| None | Subtract. Write your answer as a fraction in simp… | Convert the mixed number into an improper fraction: \(3 \frac{3}{4} = \frac{15}{4}\). |
| None | Fill in the blank to correctly complete the sente… | Start with the function \(f(x) = x^{3}\). |
| None | Many high school students take the AP tests in di… | First, calculate the proportions of female students who took the biology and calculus AB exams. The… |
| None | (a) Write the equation in exponential form. (b) S… | Write the equation in exponential form: \(3^2 = 3x - 3\) |
| None | If $g(x)=\int_{x}^{7} \cos \left(t^{7}\right) d t… | Given the function \(g(x)=\int_{x}^{7} \cos \left(t^{7}\right) d t\), we are asked to find the deri… |
| None | Tell whether the sequence is arithmetic. If it is… | An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive… |
| None | 11.2 The base of a triangle is eight more than tw… | The area of a triangle is given by the formula \( \frac{1}{2} \times \text{base} \times \text{heigh… |
| None | The following sum \[ \sqrt{6+\frac{5}{n}} \cdot\l… | The given sum is a Riemann sum, which is a method for approximating the total area underneath a cur… |
| None | Here are 6 celebrities with some of the highest … | First, we need to calculate the range, variance, and standard deviation for the given data. The ran… |
Here you can find problems in different subjects and step-by-step solutions provided by Solvely, including problems from mathematics, physics, chemistry and other subjects, covering different knowledge points. These problems help you understand and learn knowledge points, such as geometry, algebra, equations, fractions, and exponents, etc. If you have problems that you want to solve, you can also download Solvely to get step-by-step answers.