| Topic | Problem | Solution |
|---|---|---|
| None | a) Find the value of $m$ if $\sec 65^{\circ}=\ope… | Given that \(\sec 65^\circ = \operatorname{cosec}(2m - 15)^\circ\) |
| None | Question 3 (3 marks) Quality checks are regularly… | Calculate the z-scores for 20.2 hours and 22 hours using the formula: \(z = \frac{x - \text{mean}}{… |
| None | \begin{tabular}{|c|c|} \hline $\begin{array}{c}\t… | \(H_0: \beta_1 = 0\) (Square footage does not significantly affect the house price) |
| None | A 723 Qul₹ Representing Exponential Functions Que… | Given the principal amount (P) as \(2000\), the interest rate (i) as \(4.5\%\) or \(0.045\), and th… |
| None | 20 Consider $f(x)=\frac{1}{100}(3 x-5)(5 x+21)$ a… | \(f(x) = \frac{1}{100}(3x - 5)(5x + 21)\) |
| None | 14 Given $f(x)=x\left(1-3 x^{2}\right), f^{\prime… | Given the function \(f(x) = x(1 - 3x^2)\), we want to find \(f^\prime(-1)\). |
| None | Find the zeros of the function. Give exact answer… | Given the quadratic equation \(x^2 + 7x - 3 = 0\), we can use the quadratic formula to find the exa… |
| None | For the function $f(x)=x^{2}+2$, find the equatio… | First, find the slope of the tangent line by taking the derivative of the function: \(f'(x) = 2x\) |
| None | Current Attempt in Progress A woman on a bridge $… | First, we need to find the time it takes for the stone to fall using the equation for free fall: \(… |
| None | 9. A preschool playground has both bicycles and t… | Let the number of bicycles be x and the number of tricycles be y. We have two equations: |
| None | Given that events $\mathrm{A}$ and $\mathrm{B}$ a… | Given that events \(A\) and \(B\) are independent with \(P(A)=0.32\) and \(P(B)=0.95\), determine t… |
| None | 2. A telephone pole support must hit the ground a… | Given a telephone pole of height 25 feet and a support wire that makes a $55^\circ$ angle with the … |
| None | In $\triangle \mathrm{OPQ}, q=18 \mathrm{~cm}, o=… | Given: \(o = 96\), \(q = 18\), and \(\angle P = 142^\circ\) |
| None | Applications of Sinusoidal Functions 2) A frog bo… | First, we need to find the circumference of the water wheel. Since the radius is \(2\) meters, the … |
| None | The population of a small city was 30,000 in 2021… | Calculate the population increase: \(30000 \times 0.05 = 1500\) |
| None | Lucy has some number cards that each have a whole… | We are given the probability of choosing an even card as \(\frac{3}{7}\). Let E be the number of ev… |
| None | The ratio of hardback books to paperback books on… | Given the ratio of hardback books to paperback books is 6:21, we can represent the fraction of hard… |
| None | $2.25-11 j-7.75+1.5 j=0.5 j-1$ | Combine real and imaginary parts: \(-9.5j - 5.5 = 0.5j - 1\) |
| None | 2. What is $35 \%$ as a fraction in simplest form… | Convert 35% to a fraction: \frac{35}{100} |
| None | 15 Point $A$ lies on the curve $y=x^{2}+5 x+8$ Th… | Find the coordinates of point A: (-4, 4) |
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