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A Ferris wheel can accommodate 55 people in 25 minutes. How many people could ride the Ferris wheel in 6 hours? What was the rate per hour?


Find the length of the arc of the cal x square is equal to eat from the vertex to an activity of a letter rectum



Prepare a frequency distribution from the following data relating to bonus paid to factory workers.


86, 62, 58, 73, 101, 90, 94, 90, 76, 61, 84, 63, 56, 72, 102, 56, 83, 92, 87, 60, 83, 69, 57, 71, 103, 57, 87, 93, 88, 59, 76, 70, 54, 70, 104, 58, 88, 94, 89, 57, 74, 86, 55, 60, 105, 59, 89, 84, 90, 74, 67, 84, 82, 70, 60, 60, 90, 81, 91, 76, 60, 83, 78, 80, 65, 61, 96, 82, 93, 102, 60, 91, 76, 90, 70, 63, 94, 83, 94, 101, 70, 100, 74, 101, 80, 67, 92, 85, 96, 92, 60, 83, 78, 80, 65, 61, 96, 82, 93, 76.


Take a class of interval of five

Let G be a group of order 11 2 :1 32 . H ow m any 11 -sylow subgroups and 13 sylow subgroups are there in G ?

If G is the abelian group of integers in the mapping T: G β†’ G given by T(x ) = x then prove that as an automorphism

Given The Following 2 Premises,

1. 𝑝→(π‘žβˆ¨π‘Ÿ)

2. π‘žβ†’π‘ 

Prove 𝑝→(π‘Ÿβˆ¨π‘ ) Is Valid Using The Proof By Contradiction Method.

[Hint: Use A Combination Of Equivalence Laws And Rules Of Inference To Solve This Question]





Prove that, if a, b, c are non-zero and



(a x b) x c = a x (b x c)



then either



(i) b is perpendicular to both a and c, or



(ii) a and c are parallel or anti-parallel




Note: "x" is cross product


PC Yaw Inc. approached Rudy and offered to lend him a capital for hisΒ 

computer business amounting to β‚±300,000.00 to be paid in 3 years with 12%Β 

monthly interest. How much would be is his monthly payment?


find the values of k for which the following equations have no real roots.

(a) kx^2-4x+8=0

(b) 3x^2+5x+k+1=0

(c) 2x^2+8x-5=kx^2

(d) 2x^2+k=3(x-2)

(e) kx^2+2kx=4x-6

(f) kx^2+kx=3x-2


find the values of k for which the following equations have two distinct roots.

(a) x^2+8x+3=k

(b) 2x^2-5x =4-k

(c) kx^2-4x+2=0

(d) kx^2+2(k-1)x+k=0

(e) 2x^2=2(x-1)+k

(f) kx^2+(2k-5)x=1-k


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