Answer:
Step-by-step explanation:
<u>6-digit palindrome is the number n the form of:</u>
<u>This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):</u>
Now, in order to be divisible by 99, the number must be divisible by 11 and 9.
According to divisibility rule by 9 the sum of all digits must be divisible by 9. <u>You can see In our case we need to have (the minimum):</u>
<u>The smallest number we could get is when x is minimum, y is minimum, so:</u>
<u>The number we get is:</u>
<u>Proof:</u>
Answer:
The cost difference between lowest and highest bid $ 251.20
Step-by-step explanation:
Given,
The average quote for the traffic control subcontractor = $ 1570,
Also, the lowest bid is 4 % under average,
That is, lowest bid = average quote - 4% average quote
= 1570 - 4% of 1570
While, the highest bid is 12% above average,
That is, the highest bid = average quote + 12% average quote
= 1570 + 12% of 1570
Hence, the cost difference between lowest and highest bid = $ 1758.4 - $ 1507.2 = $ 251.20
5.234x10 to the 12th power
6x-2 when x = (5/6)
=6(5/6)-2
=5-2
=3
Answer:
The area of the shaded portion is;
A= π (81x^4 - 49x^2)
Step-by-step explanation:
Looking at the given figure, the area of the shaded part is simply the area of the bigger circle minus the area of the smaller circle
The bigger circle has a radius of 9x^2
The smaller circle has a radius of 7x
The radius is the distance from the center to any part of the circumference
The area of a circle can be calculated using the formula;
A = pi * r^2
For the bigger circle, we have;
A = pi * (9x^2)^2
A = pi * 81x^4
for the smaller circle, we have;
A = pi * (7x)^2
A = pi * 49x^2
So the area of the shaded portion will be;
A= π (81x^4 - 49x^2)