(1+x^2)^8
=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)
=1+8x^2+28x^4+56x^6+70x^8+....)
For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.
1.01=(1+0.1^2) => x=0.1 in the above expansion
(1.01)^8
=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]
=1+0.08+0.0028+0.000056 (+0.00000070)
=1.082856 (approximately)
Answer:
The probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.
Step-by-step explanation:
Since Kelly Slater and Andy Irons are in a surf competition among 10 competitors, to determine, if all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place 2nd, the following calculation must be performed:
1/10 x 1/9 = X
0.1 x 0.11 = X
0.01111 = X
1/90 = 0.011111 = X
Therefore, the probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.
Answer:
-4
Step-by-step explanation:
ok negative times negative = positive
and factors of 24 are
1,2,3,4,6,8,12,24
4 x 6 are the two consecutive EVEN numbers
so turn it to negative
-4 x -6 = 24
The largest is -4
Answer:
it means that they are 2 different lines on a cordinate plane
PLZ MARK BRAINLIEST
Answer:
Each pipe is 24m
Step-by-step explanation:
<u>Given:</u>
- three pipes
- combined equal 72m
- let the variable x represent the length of 1 pipe
<u>Algebraic Expression</u>:
3 pipes times length equals 72m (the total length)
3x = 72, we want x to be alone so divided both sides by 3
3x / 3 = 72 / 3
x = 24
Learn more about Algebraic Expression here: brainly.com/question/4344214
