Answer:
15.7
Step-by-step explanation:
Circumference= πd
d= Diameter
Isolate the x
divide 3 from both sides
3x/3 > 6/3
x > 6/3
x > 2 is your answer
Note: because you are not dividing by a negative number, you do not need to flip the sign
hope this helps
Answer:
If we solve any such equation and get the answer as 0 = 0 so this means that system of equations has infinite solutions.
Step-by-step explanation:
<h2>Hope it helps you!! </h2>
5.5 + 2.1x + 3.8x - 4.1
5.5-4.1 +x(2.1+3.8)
1.4 +x(5.9)
5.9x+1.4
these are equivalent if there is a plus sign between 1.4 5.9x
Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
