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Q1:2. GRIDDED ANSWER Point M is the midpoint of PQ. If PM-23x +5 and MQ-25x-4, find the length of PQ.See Answer
Q2:Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = x², y = 1 about y = 6See Answer
Q3:1. Determine the area of this composite figure, to the nearest square feet and square metres. [8 MARKS]See Answer
Q4:- 4. A set designer for a play makes a whale tail out of a semicircle with an isosceles triangle cut out of it. What is the area of the whale tail? [ 5 mark] 5. A decorator is wallpapering a wall with a circular window of diameter 1.00 m. What is the area of the wall in square feet? (1 m - 3.2808 feet) [ 6 marks] 26mZ 6. A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?See Answer
Q5:5) An aircraft carrier left Hawaii and traveled toward Tahiti at an average speed of 15 km/h. A container ship left three hours later and traveled in the same direction but with an average speed of 20 km/h. Find the number of hours the aircraft carrier traveled before the container ship caught up.See Answer
Q6:6) Ashley and Ted left the mall at the same time. They traveled in opposite directions. Ted traveled 0 km/h slower than Ashley. After one hour they were 40 km apart. Find Ashley's speed.See Answer
Q7:8) A container ship traveled to Madagascar and back. It took 2.6 hours less time to get there than it did to get back. The average speed on the trip there was 26.5 km/h. The average speed on the way back was 21.2 km/h. How many hours did the trip there take?See Answer
Q8:9) Molly can pour a large concrete driveway in seven hours. Matt can pour the same driveway in five hours. If they worked together how long would it take them?See Answer
Q9:10) Working alone, Heather can mop a warehouse in nine hours. Wilbur can mop the same warehouse in ten hours. Find how long it would take them if they worked together.See Answer
Q10:3) Joe left the mall and drove toward the lake at an average speed of 40 km/h. Kali left sometime later driving in the same direction at an average speed of 50 km/h. After driving for four hours Kali caught up with Joe. How long did Joe drive before Kali caught up?See Answer
Q11:5. The sides of a rectangle are x and 3 - 2x. Express the rectangle's area as a function of x.See Answer
Q12:Given the polynomial function f(x) = x³ 4x²+x+6 How could we prove 2 is one of the zeroes of this function? Choose ALL of the correct answers.See Answer
Q13:Given the polynomial function f(x) = x³ − 4x²+x+6 Write the original polynomial function f (x) = x³ − 4x² + x + 6 in factored form.See Answer
Q14: . What does the graph tell us about the motion of the truck?See Answer
Q15:Find the surface area of revolution about the x-axis of ㅠ 6 y = 2 sin(6x) over the interval 0 ≤ x If you can integrate it with the skills you have please do that. If not, you may use technology to integrate it.See Answer
Q16:Theorem 2.39. If n is an integer greater than 2, then n² - 1 is composite. Sketch. n²-1 (n − 1)(n+1)See Answer
Q17:2.5.3 What is wrong with the following proof? Explain why this error could be prevented by plan- ning out a proof before writing it. Theorem 2.40. If n ≥ 3 is an integer, then n² > 2n + 1. Proof. Let n² > 2n + 1. Then 0 < n² - 2n − 1 = (n − 1)² -2, which is only true when n > 3. -See Answer
Q18:2.5.3 What is wrong with the following proof? Explain why this error could be prevented by plan- ning out a proof before writing it. Theorem 2.40. If n ≥ 3 is an integer, then n² > 2n + 1. Proof. Let n² > 2n + 1. Then 0 < n² - 2n − 1 = (n − 1)² -2, which is only true when n > 3. -See Answer
Q19:paste the instructions below Shanti is making prize friends. She will use aSee Answer
Q20:22. The quadratic function y = 0.16x² + 2x - 1 cannot be factored. Answer to the nearest hundredth, where necessary. a) Find the x-intercepts. b) Find the y-intercept. c) Fine the coordinates of the vertex. d) Find the equation of the axis of symmetry.See Answer

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