Search
Cities A, Band C are equidistant from each other. A motorist travels from A to
B at 30 km/h; from B to C at 40 km/h and from C to A at 50 km/h. Determine
his average speed for the entire trip.
a) how many hours needed to complete filling process of 150 000 mL in 1 mL bottles
*speed: 2 bottles per second
b) how many staff are needed at one time to complete packing the bottles in carton within 24 hours
* 1 carton = 10 bottles
* speed: 1 carton per 15 seconds
a) how many hours needed to complete the filling process of 150 000 bottles of 1 mL
* speed: 2 bottles per second
b) how many staff needed at one time to complete the packing bottles inside carton within 24 hours
*speed: 1 carton = 10 bottles = 15 seconds
four children had three boxes of coloured pencils. They decided to open all the three boxes, to shair the pencils fairly. There were 52 pencils in each box. How many pencils did each child get ? Now look at the attempt from grade 4 learner to solve this problem .
a ) briefly describe how the learners solved this problem.
b )use any strategy to judge the reasonableness of thr learner's solution.
Jane packed 6 hams in a shipping crate. Each ham weighs 5 pounds . The crate weighs 2 pounds How much does the total package weigh ?
(3.1)
(a) Find a and b such that −3ai − (−1 − i)b = 3a − 2bi.
(b) Let z1 = 12 + 5i and z2 = (3 − 2i)(2 + λi). Find λ without resorting to division such that z2 = z1.
(3.2) Let z = −2 + 3i and z' = 5 − 4i. Determine the complex numbers
(a) z2 − zz'
(b) 1/2(z + z)2
(c) 1/2[z − z] + [(−1 − z')]2.
Determine the first two terms of the following sequence: 8, 15, 24, 35
Study the calander page for August 2019 and describe as many number patterns as you can find.
6
12 13 14
20
Which term of the geometric sequence is 1/8 if the first term is 4 and common ratio ½
Find each of the function below, indicate whether the function in onto, on-to-one neither or both. If the function is not onto or nor one-to-one, give an example showing why
F;R R. f(x)=x^2
