| Topic | Problem | Solution |
|---|---|---|
| None | If \( 3^{X-3}=1 \) then \( X+3=\cdots \) | \( 3^{X-3}=1 \) |
| None | 3. Which ratio gives the value of $\sin C$ for $\… | Which ratio gives the value of \(\sin C\) for \(\triangle A B C\) ? |
| None | title?isbn $=97807303967348$ subisbn $=9780730394… | Given the cost function $C = 75d + 0.4k$, where $C$ is the total cost, $d$ is the number of days re… |
| None | Graph the inequality subject to the nonnnegative … | First, we rewrite the inequality as $y > \frac{21}{30}x$, subject to the nonnegative restrictions $… |
| None | Changing a prefixed unit to a base unit. By which… | Given a value of 35 meters, we need to convert it to kilometers. |
| None | $10^{-5} \times \frac{1}{10^{2}}$ | Given: $10^{-5} \times \frac{1}{10^{2}}$ |
| None | 3. Solve algebraically: \[ \log _{7}(x+4)+\log _{… | \(\log _{7}(x+4)+\log _{7}(x-2)=1\) |
| None | $\left(-27 x^{12}\right)^{\frac{1}{3}}$ | Given expression: $\left(-27 x^{12}\right)^{\frac{1}{3}}$ |
| None | A sailor on a boat 380 metres from the base of a … | Draw a neat diagram to display this information. |
| None | (1) $\sqrt[3]{a^{5} \sqrt{b^{2}}} \div \sqrt[3]{a… | Rewrite the expression using exponent rules: \(\frac{a^{\frac{5}{3}} b^{\frac{1}{3}}}{a^{\frac{2}{3… |
| None | 19. a) Write an equation for the line that passes… | \(\text{Find the slope: } m = \frac{5 - (-7)}{1 - (-3)} = \frac{12}{4} = 3\) |
| None | Question 10 (1 point) In triangle $A B C, B=30^{\… | Given a triangle ABC with angle B = 30 degrees and side c = 20. We need to find the value of x such… |
| None | QUESTION 2 On a randomly chosen day the probabili… | Given probabilities: \(P(\text{Car}) = \frac{7}{12}\), \(P(\text{Bike}) = \frac{1}{6}\), \(P(\text{… |
| None | 3 The diagram shows the curve $y=\mathrm{f}(x)$, … | \(g(x) = f(x) - \frac{1}{2}\) |
| None | Given the Taylor polynomial for $f(x)$ at $x=3$, … | Given the Taylor polynomial for \(f(x)\) at \(x=3\): |
| None | In circle $Q, Q R=4$ and the length of $R S=2 \pi… | Given the radius of the circle, QR, and the length of the arc RS, we need to find the measure of th… |
| None | Christopher Malone $06 / 12 / 2310: 16 \mathrm{PM… | Given the function \(f(x) = -0.01x^2 + 0.7x + 5.9\), we need to find the vertex to determine the ma… |
| None | Let $I_{n}=\int_{0}^{\frac{1}{a}} \frac{1}{\left[… | Let \(u = \frac{1}{\left[1+(a x)^{2}\right]^{n}}\) and \(dv = dx\). Then \(du = -2na(ax)^2\left[1+(… |
| None | 1. Compute the following limits using L'Hôpital's… | Compute the derivatives of the functions in the numerator and denominator: \(f'(x) = 3x^2 - 6x + 1\… |
| None | $I=\iint_{R} \frac{1+x^{2}}{1+y^{2}} d A, \operat… | First, we set up the double integral: \(I = \int_{0}^{1} \int_{0}^{2} \frac{1+x^2}{1+y^2} dx dy\) |
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