2 (log x) + log x =2
From 100 - 199 inclusive, there are 19 numbers containing at least one zero
And we have the same number in each hundred from x00 to x99 where x ranges from 1 to 9
So..... the total number of integers from 100- 999 inclusive that have at least one zero =
9(19) = 171
So....the probability that we select a digit that contains at least one zero = 171 / 900 = 19%
Express (a^10/3)(b^7/3) in simplified radical form
Proof: let a=3, b=2
(3^10/3) x (2^7/3) =839,808
(3^10 x 2^7) / 9 =839,808
MaxWong's Solution:
[3^10 x 2^7]^(1/3)=196.25
It is NOT: a^(10/3), or b^(7/3)!!!.
2 log x + log x = 2 [ note ..... 2 can be written as log 100]
logx^2 + log x = log 100
log [x^3] = log 100 forget the logs
x^3 = 100 take the cube root of both sides
x = ∛100 = 102/3
(3x-1/2y^2)^15 .....the 11th term is given by :
C(15, 10) * (3x)^5 * [(-1/2) y^2]^10 =
3003 * (243) *x^5 * (1024)y^20 =
[3003 * 243] / 1024 * x^5 * y*20 =
729,729/ 1024 * x^5 * y^20
11th term | (3 x-1/2 y^2)^15 | in lexicographic order
=(729729 x^5 y^20)/1024
EXPANDED:
14348907 x^15-(71744535 x^14 y^2)/2+(167403915 x^13 y^4)/4-(241805655 x^12 y^6)/8+(241805655 x^11 y^8)/16-(177324147 x^10 y^10)/32+(98513415 x^9 y^12)/64-(42220035 x^8 y^14)/128+(14073345 x^7 y^16)/256-(3648645 x^6 y^18)/512+(729729 x^5 y^20)/1024-(110565 x^4 y^22)/2048+(12285 x^3 y^24)/4096-(945 x^2 y^26)/8192+(45 x y^28)/16384-y^30/32768.
SEE HERE: http://www.wolframalpha.com/input/?i=11th+term+of+(3x-1%2F2y%5E2)%5E15
area = (base*height on the base) /2
=(1*1.4)/2
area= 0.7 square centimeters
If you emptied the bucket on to the land I think that it would immediately work it way back into th ocean. So the ocean would never empty.
(5 x 10-1)2 Actually that's not a good way to express this equation.
The best way:
2(5 x 10 - 1)
= 2 x 5 x 10 - 2
= 100 - 2
= 98
\(a^{\frac{10}{3}}b^{\frac{7}{3}}= \sqrt[3]{a^{10}b^7}\)
A few tricks for you......
11x54 = 594
5 x 14 = 5 x 2 x 7 = 10 x 7 = 70
25 x 44 = 25 x 4 x 11 = 100 x 11 = 1100
9 x 54 = 486
T=n^2
aka
T=n2
a^b means a to the power of b
base times half of height.
I agree.
Good morning our guest.
bro 8 years
2 log x + log x =2 ?
Real part: 2x + y = 4
Imaginary part: x - y = 1
Add these term by term: 3x = 5 so x = 5/3
Put this back into the second equation: 5/3 - y = 1 so y = 5/3 - 1 or y = 2/3
\(\frac{2}{\frac{1}{5}}\)
\(2\times\frac{5}{1}\)
\(2\times5\)
\(10\)
To convert a mixed fraction to an improper fraction, follow these steps:
1. Multiply the whole number part by the fraction's denominator.
2. Add that to the numerator.
33. Write that result on top of the denominator.
5.30*10^22*26.135/6.02*10^23
5.30 * 1022 * 26.135 / (6.02 * 1023) = 2.30092192691
2016 - 1979 = 37
x = (1/5+(2 i)/5) ((1+i) y+(1-4 i))
y = (3/2+(5 i)/2)-(1/2+(3 i)/2) x