| Topic | Problem | Solution |
|---|---|---|
| None | \( 27^{2}+x^{2}=54^{2} \) | \(x^{2}=54^{2}-27^{2}\) |
| None | A certain three-cylinder combination lock has 75 … | For part (a), since there are 75 numbers on each cylinder and there are 3 cylinders, the total numb… |
| None | 4. After 3 weeks, a plant is 8 centimeters tall. … | The plant's growth follows an arithmetic sequence. This means that the difference between the heigh… |
| None | \( \frac{\frac{a^{2}-b^{2}}{a^{2}-25}}{\frac{b-a}… | \( = \frac{a^{2}-b^{2}}{a^{2}-25} \cdot \frac{a+5}{b-a} \) |
| None | Simplify the expression $\frac{x^{1 / 3}}{x^{-5 /… | Given the expression \(\frac{x^{1 / 3}}{x^{-5 / 4}}\), we can simplify it by using the rule of expo… |
| None | $(4,8)$ and $(4,-9)$ Select the correct choice be… | Given two points (4,8) and (4,-9). |
| None | \( (x y+24) \cdot(1 y-2)=0 \) | \( x y + 24 = 0 \) or \( 1 y - 2 = 0 \) |
| None | Solve and check the linear equation. \[ 27-\frac{… | Multiply every term by 20 to get rid of the fractions: \(20(27-\frac{x}{4})=20(\frac{x}{5})\), whic… |
| None | Graph the following equation in a rectangular coo… | The given equation is \(x=2\). |
| None | Solve and check the equation. \[ 3(5-2 x)=3(3 x+1… | The given equation is a linear equation in one variable, x. To solve it, we need to simplify the eq… |
| None | Evaluate the given expression for $x=11$. \[ 4 x+… | The problem is asking to evaluate the expression \(4x+3\) for \(x=11\). This means we need to subst… |
| None | To borrow money, you pawn your guitar. Based on t… | Calculate the interest paid by subtracting the loan amount from the amount paid back: \(1472 - 600 … |
| None | Evaluate $\int_{C} x d x+y d y+z d z$ where $C$ i… | The given integral is a line integral over a vector field. The vector field in this case is F = <x,… |
| None | Draw and label the final image of $\triangle A B … | The problem asks to reflect the triangle ABC over the x-axis and then rotate it 180 degrees around … |
| None | $D$ and $E$ are sets of real numbers defined as f… | Define the sets $D$ and $E$ as follows: $D = \{x \mid x > 4\}$ and $E = \{x \mid x \leq 8\}$. |
| None | Unit 3 Chapter 9: Lesson 9.1 Assignment Score: $7… | The problem is asking to express the null and alternative hypotheses in symbolic form for the claim… |
| None | tions-inequalities/x2f8bb11595b61c86:compound-ine… | 1) (C) \( 2.75+11.50 S \leq 55 \) |
| None | Compute the Jacobian $\mathrm{J}(\mathrm{u}, \mat… | Given the transformation T: \(x=4 u \cos (\pi v)\), \(y=4 u \sin (\pi v)\) |
| None | From previous studies, it is concluded that $12 \… | The problem is asking for a p-value for a hypothesis test. The null hypothesis is that the proporti… |
| None | 3. Are all rotations considered a rigid motion? E… | This question is asking about the properties of rigid motions, specifically rotations. A rigid moti… |
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