Ques:- Perimeter of the back wheel = 9 feet, front wheel = 7 feet on a certain distance, the front wheel gets 10 revolutions more than the back wheel .What is the distance?
Recent Answer : Added by VSEC_me On 2022-08-14 16:34:00:
Let the total rotations be x:
So the distance covered by both the wheels will be same,
9 * x = 7 * (x + 10)
x = 35 rotations
distance travelled = 9 * 35 = 7 * (35 + 10) = 315 feet
Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)
Recent Answer : Added by Admin On 2020-05-17 12:01:23:
(x**2 – 6* x + 5) = (x-1)*(x-5)
(x**2 + 2 * x + 1) = (x + 1) * (x+1) = (x+1)**2
For what x is (x-1)*(x-5)/( (x+1)**2) a minimum?
One way to answer this question is by using calculus.
Take the derivative, and set to zero.
Since this is a fraction of polynomials, and a fraction is
zero only if it’s numerator is zero, we need calculate only
the numerator of the derivative and set it to zero.
The numerator of the
Derivative of (x-1)*(x-5)/( (x+1)**2) is
( (x-1) + (x-5) ) ( x+1)**2 – (x-1)(x-5)( 2 (x+1) )
= (2 x – 6) (x+1)**2 – (2) (x-1)(x-5) (x+1)
= 0
Divide through by 2 (x+1)
(x-3)(x+1) – (x-1)(x-5) = 0
(x**2 – 2 x – 3 ) – (x**2 – 6 x + 5) = 0
x**2 – x**2 – 2 x + 6 x – 3 – 5 = 0
4 x – 8 = 0
x = 2
Plugging in x = 2 into the original
(x**2-6*x+5)/(x**2+2*x+1)
gives us (2**2 – 6 * 2 + 5)/(2**2 + 2*2 + 1)
= (4 – 12 + 5) / (4 + 4 + 1) = -3/9 = -1/3
Least value is -1/3
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Ques:- A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Recent Answer : Added by Jay On 2022-08-14 16:45:20:
Question does not clarify if its simple interest or compound interest
Ques:- There are three people A, B, C. Liars are of same type and Truth speaking people are of same type. Find out who is speaking truth and who is speaking false from the following statements:
A. A says: B is a liar.
B. B says: A and C are of same type.
Recent Answer : Added by Koshti bhavna On 2021-03-19 17:07:56:
B
Ques:- A and B are started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be B’s share in the total profit of Rs.25,000 earned at the end of 2 years from the starting of the business?
A. Rs. 7000
B. Rs. 7500
C. Rs. 9000
D. Rs. 9500
Recent Answer : Added by Chathura On 2022-05-17 09:09:31:
A = 20k x 2y, B = 15k x 2y, C = 20k x 1.5y => 100Ky
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Recent Answer : Added by Admin On 2020-05-17 12:01:17:
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Ques:- Ratio between two numbers is 3: 4 and their sum is 420. What is the smaller number?
Recent Answer : Added by DHARANI R On 2021-08-26 16:05:51:
3:4
3x:4x
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Recent Answer : Added by Admin On 2020-05-17 12:01:01:
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Recent Answer : Added by Admin On 2020-05-17 12:00:29:
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Let the total rotations be x:
So the distance covered by both the wheels will be same,
9 * x = 7 * (x + 10)
x = 35 rotations
distance travelled = 9 * 35 = 7 * (35 + 10) = 315 feet