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Find the remainder when 7^103 is divided by 24 Solution) we know by the concept of mod that..... 49 is congruent to 1 mod 24(means if 1 is subtracted fom 49 u get 48 which is divisible by 24) so 7^2congruent to 1 mod 24 so 7^102congruent to 1 mod 24(raising to the power 51) hence the remainder when 7^102 is divided by 24 is 1 i.e. 7^102=24m+1 so multipling by 7 both sides we have....7^103=24.7m+ 7hence 7^103=24n + 7so remainder is 7 (ans)
Determine how many square centimeters of paper are needed to make a label on a cylindrical can 45 cm tall with a circular base having diameter of 20 cm. Leave answer in terms of π.
what are the advantages and disadvantages of both Laspeyres and Paasche index
how to make 2.3 into a fraction?
what is Baker College Online upward line stretch?
Find the derivatives of the following functions a) y = 5x 4 +3x -1-x 3 b) y = (x+1) -1/2 c) y= e x2+1 d) y= e 3x lnx e) y =ln(x+1/x)y
Interpretations of derivatives. Example: Find out the equation of the tangent line to x 2 + y 2 =9 at the point (2, √5 ) .
1. Let , where are independent identically distributed random variables according to an exponential distribution with parameter μ. N is a Binomially distribut
If 0.3 is added to 0.2 times the quantity x - 3, the result is 2.5. What is the value of x? The statement, "If 0.3 is added to 0.2 times the quantity x - 3, the result is 2.5,
1. Find the number of zeroes of the polynomial y = f(x) whose graph is given in figure. 2 Find the circumcentre of the triangle whose vertices are (-2, -3), (-1, 0) and (7,-6).
for what value of k,the following system of equations have infinite solutions?kx + 5y -(k-5)=0;20x +ky - k=0
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