Other Math Answers

Why wouldn't it be helpful to try and solve the following quadratic equation by taking square roots? 2x^2-2x-9=0

As a review, briefly explain the process to check that the solution you found is correct.

Given the following production function; Y=AX^(3/4) X^(1/4)

Required:
Calculate the degree of homogeneity of the above function and comment
on the returns to scale.

Which of the following quantities is not an example of direct variation?
A. Nature of activity and heart beat
B. Speed and distance covered by a car in an hour
C. Hard work and success
D. Socio-economic status and number of friends

Marcus provides math tutoring lessons to ICON students. The amount of hours he is willing to tutor (supply) (Q) depends on the price he charges (P) in the following way: Q= 3P+2. The demand for his tutoring services is given by Q=5-2P.

If the tutor find a well paid part-time job, then

a) the supply curve will shift to the right


b) none of the above


c) the demand curve will shift to the right


d) the supply curve will shift to the left


e) the demand curve will shift to the left

QUESTION 1

Test marks for ten students are 2, 3, 6, 7, 7, x, 5, 5, 8, 9

(i) Given that the average mark is 6, find the value of x.

(ii) Calculate the standard deviation for these set of marks

QUESTION 2

Solve the following pair of equations by Cramer’s rule.

1) 3x + 5y = 2
2) 2x-7y = - 1

Show that 1n3 + 2n + 3n2 is divisible by 2 and 3 for all positive integers n.

MATHEMATICS
1. Divide 300 into parts so that half of one part is less than the other part by 48. A. 160, 140. B. 168, 132. C. 150, 150. D. 120, 180
2. Find the area of the triangle whose vertices are (x, x), (0, 2x), (2x, 0). A. 4x2 units B. 0 units C. 2x2 units. D. X2 units
3. A person has 3 shares in a lottery containing 2 prizes and 8 blanks. The chance of getting a prize is A. 8/15. B. 12/15. C. 7/15. D. 6/15
4. A student's marks were wrongly entered as 83 instead of 63. As a result, the average marks of the class increased by 0.5. The number of students in the class is. A. 10. B. 20. C. 40. D. 73
5. Water tax is increased by 20% but its consumption is decreased by 20%, then the increase or decrease in the expenditure is A. 5% B. 4% C. 6% D. 8%

By what factor would you increase the cost of a small pizza if its radius was increased by a factor of 4 times or 5 or 10? Try identify a pattern and why the pattern exists.

4 squared = 16. That means 16 x the cost of the small pizza
5 squared = 25. That means 25 x the cost of the small pizza
10 squared= 100 That means 100 x the cost of the small pizza

We see the pattern of multiplying the cost of the small pizza by the result of the number squared.

Find ratio of temperature of second and third week of june 2019