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a) Let n = (abc)7. Prove that n ≡ a + b + c (mod 6).
b) Use congruences to show that 4|32n - 1 for all integers n ≥ 0.
if there is a tie between two penalties then how to make allocations?
The top of the new rectangular Big Gig Thingamajig is 80 inches long and 62 inches wide. What is the top''s perimeter?
If 4x^4+9x^4=64 then the maximum value of x^2+y^2 is solution) From the eq. finding the value of x^2 and putting it in x^2 + y^2.we get 2nd eq. differentiating that and putting
A chemist mixed a solution which was 34% acid with another solution that was 18% acid to generate a 30-ounce solution which was 28% acid. How much of the 34% acid solution did he u
Question: Solve the initial value problem 2x'' +x'-x =27 Cos2t +6 Sin 2t, x(0)=2 , x'(0)= -2 by using Laplace transform method.
Determine whether the following numbers are odd or even: Examples: Determine whether the following numbers are odd or even: 364, 1068, & 257. Solution: 1.
The area of a square is given by the formula width time's height. But since the square has all the sides equal, the height is of the same measure as its width. Hence its formula is
A farmer grows apples on her 400-acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown"
Find the sum of all 3 digit numbers which leave remainder 3 when divided by 5. Ans: 103, 108..........998 a + (n-1)d = 998
Which of the subsequent numbers is equivalent to 12.087? Zeros can be added to the end (right) of the decimal portion of a number without changing the value of the number; 12.
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