| Topic | Problem | Solution |
|---|---|---|
| None | 6. Write an equation or inequality to represent "… | The problem is asking to write an equation or inequality that represents the given statement. The s… |
| None | You deposit $\$ 710$ in a savings account paying … | The problem is asking for the amount of interest earned in 4 years. Simple interest is calculated u… |
| None | What is the simple interest rate on a $\$ 2500$ i… | The formula for simple interest is \(I = PRT\), where \(I\) is the interest, \(P\) is the principal… |
| None | Carl keeps in shape by cycling. He bikes 9 miles … | Given that Carl bikes 9 miles every 3/4 hour, we can find the distance he rides in 1 hour by settin… |
| None | 11. Solve $\frac{3 k}{2 k-5}=\frac{7}{3}$ for $k$. | Cross multiply to get rid of the fractions in the equation \(\frac{3 k}{2 k-5}=\frac{7}{3}\). |
| None | 11. If $\cos A=-0.28$, where $\pi \leq A \leq \fr… | We are given that \(\cos A = -0.28\) and \(\pi \leq A \leq \frac{3 \pi}{2}\). |
| None | 1. Write the equation of a sine function with the… | The general form of a sine function is \(y = A\sin(B(x - C)) + D\) where \(A\) is the amplitude, \(… |
| None | 1. Prove that the context-froe grammar below over… | To prove that a context-free grammar is ambiguous, we need to find a string that can be derived in … |
| None | 12. Find the measure(s) of $\mathrm{A}$, to the n… | The sine function is negative in the third and fourth quadrants. |
| None | Construct a truth table for the given statement. … | Construct a truth table for the given statement \(p \leftrightarrow \sim q\). |
| None | A rigger rigging a load needs to calculate the le… | We are given that the distance from the load to the hook is \(4850 \mathrm{~mm}\) and the distance … |
| None | 10. If $\tan A=\frac{\sqrt{2}}{4}$, where angle A… | We are given that \(\tan A = \frac{\sqrt{2}}{4}\) and that angle A terminates in quadrant three. |
| None | 8. Calculate the arc length (to the nearest tenth… | We are given a sector of a circle with radius \(r = 8.4\) m and sector angle \(\theta = 80^\circ\). |
| None | $g(x)=3 \sqrt{-6 x+4}$ | First, we need to understand the function. The function \(g(x) = 3 \sqrt{-6x + 4}\) is a square roo… |
| None | subtracting oolynomials \[ (4 h+4)-(5 h+3) \] | Given the polynomials \(4h + 4\) and \(5h + 3\) |
| None | $(3 K+2)(K-1)$ | Let's consider the algebraic expression $(3 K+2)(K-1)$. |
| None | A bank offers a CD that pays a simple interest ra… | We are given that the future value (FV) is $5000, the annual interest rate (r) is 3% or 0.03 in dec… |
| None | \[ f(x)=\left\{\begin{array}{ll} x^{2} & x \leq-2… | Since 0 is greater than -2 and less than 2, it falls under the second condition. Therefore, we need… |
| None | 6 Select the correct answer. What is the standard… | The standard form of a quadratic function is \(f(x) = ax^2 + bx + c\). |
| None | Using the interest formula $A=P(1+r t)$, solve fo… | The question is asking to solve for r in the interest formula. To do this, we need to isolate r on … |
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