Other Math Answers

A boat sails from port A to port B which is 50 km away on a bearing of 126 degrees from A. It then sails to C which is 46 km away on a bearing of 170degrees from B. The boat continues to sail on a course of 045degrees from C to D for 65 km.

(a) How far south of A is D? (4marks)

(b) How far east of A is D? (4marks)

(c) Calculate the bearing of D from A. (3marks)

(first draw the figure indicating the given data.) (4marks)

The curve y = aX^3– 2X^2– X + 7 has a gradient of 3 at the point where X =3.

Determine the value of a.

Using a =(3,4) and b=(2,-1) as base vectors, express the vector C =(7,2) in form ya+ub

If X^2+ bX +c and X^2+ dX + e have a common factor ( X – p ) show that p =e-c/b-d

find the roots of the quadratic equation X^2– x + k =0 and the value of the constant

k given that one root of the equation is twice the other.

The roots of the equation 25X2+ X +1 =0 are α^2 and β^2. Find the equation with

integral coefficients whose roots are 1/α and 1/β

Determine the Vertical Asymptote

f(x) = 1-x / x^3 -64

f(x) = 7x + 2/ x^2+1

An investor has a certain amount of money available to invest now. Three alternative investments 

are available. The estimated profit in Kwacha of each investment under each economic condition 

are indicated in the following payoff table: 

Event Investment Selection 

A B C 

Economy declines 500 -2000 -7000 

No charge 1000 2000 -1000 

Economy Expand 2000 5000 20,000 

Based on his own past experience, the investor assigns the following probabilities to each 

economic condition: 

( ) ( ) ( ) Economy declines 0.30 No change 0.50 Economy expands 0.20

P

P

P

=

=

= 

i. 

Determine the optimal action based on the maximax criterion        

ii. 

Determine the optimal action based on the maximin criterion        

iii. 

Compute the expected monetary value (EMV) for each investment    

Identify the Independent Variable and the Dependent Variable in each research.

1. Organizational Commitment and Teaching Performance of Elementary Teachers in the District of Pililla, Rizal

2. Effectiveness of Exposing Students in Classical Music on Reading Comprehension

3. Conceptual, Interpersonal, and Teaching Skills of Bank Managers: Their Relationship to Operational Efficiency

4. Impact of Blended Learning on Student Achievement in.Social Studies

5. Imcreasing Mathematics Achievement Through Contextualized and Localized Materials