5^5 mod 7 = 3
5^4 mod 7 = 2
5^3 mod 7 = 6
3 -2 +6 mod 7 = 0
Therefore, 5^5 -5^4 +5^3 mod 7 = 0 and that sum is divisible by 7.
4x/4= x
4y/4 = y
8/4=2
Answer: y=2
Answer:
The cost of bicycle is Rs1000
Step-by-step explanation:
Let x be the cost of bicycle
Total profit gained by the shopkeeper by selling at labelled price = 20%
Suppose he sell the bicycles at at 5% discount
Which means that the total profit he learn after discount will be:
20% -5% = 15%
The shopkeeper earns a profit of 15% if he sells at discount.
Profit gained by shopkeeper is:
15% of x = 15/100 · x
15% of x = 0.15x
Thus the profit gained will be 0.15x. As profit gained is equal to 150, we can say that
0.15x = 150
x = 1000
The cost of bicycle is Rs1000
The transformations that can occur to the graph of the function y = cos x that will exhibit changes would be changes to the angle, or changes to the coefficient. The transformations can be viewed as follows:
y = cos x transforms to y = cos (kx)
k > 1 ; a horizontal shrink occurs
0 < k < 1 ; a horizontal stretch occurs
y = cos x transforms to y = A cos x
|A| > 1 ; a vertical stretch occurs
|A| < 1 ; a vertical shrink occurs
Integers between -4 and 0 are : -3, -2, and -1
