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Canada
5. a) Determine the \( y \)-intercept for the graph of \( 3 x+y=6 \). \( y=-3 x+6 \)
Algebra Jan 22, 2025
3. Solve. a) \( 3 x^{2}+28 x+9=0 \) b) \( 4 k^{2}+19 k+15=0 \) c) \( 8 y^{2}-22 y+15=0 \) d) \( 16 b^{2}-1=0 \) e) \( 10 m^{2}+30 m=0 \) f) \( 4 x^{2}-12 x+9=0 \)
Algebra Jan 22, 2025
Part 2: Linear Relations 1. Given \( C=4.2 n+12 \), solve for \( n \) when \( C=33 \).
Algebra Jan 22, 2025
6. Andy has \( \$ 360 \). The amount of money that Andy has is \( 120 \% \) of the amount of monoy Ben has. Determine the amount of money that Ben has. \( 120=100=1.2 \) \( =1.2 \times 360=482 \) \( =432 \)
Algebra Jan 21, 2025
6. Andy has 5360. The amount of money that Andy has is \( 120 \% \) of the amount of money Ben has. Determine the amount of money that Ben has. \[ \begin{array}{l} 120-100=1.2 \\ =1.2 \times 360=482 \\ =43 \end{array} \]
Algebra Jan 21, 2025
5. There are 80 apples in Box A. There are \( 15 \% \) more apples in Box B. How many apples are there in Box B? \[ \begin{array}{l} 15: 100=0.15 \\ =0.15 \times 80=12+80 \\ =92 \end{array} \]
Arithmetic Jan 21, 2025
A wall is to be supported by a wooden pole. In order for a support pole to keep a wall vertical, the angle of elevation of the pole must be within the range of \( 30-60 \) degrees. If the pole is 8 feet long, determine the distance from the base of the wall to position the pole.
Trigonometry Jan 21, 2025
e) \( \cot \theta+\tan \theta=2 \csc 2 \theta \)
Trigonometry Jan 21, 2025
Evaluate \( \lim _{x \rightarrow 1} \frac{\sqrt{x}-1}{x-1} \)
Calculus Jan 21, 2025
e). A bacterial culture starts with 1000 bacteria and triples after 5 hours. Find the doubling period and the amount of bacteria after 8 hours.
Biology Jan 21, 2025
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