Answer:
Step-by-step explanation:
so in the inverse property of addition, the sum will equal 0
mistake is in expression 3.
1/4 + 0.25.......should be 1/4 + (-0.25)
Since the binoculars make things 10 times larger, you need to multiply 0.43 inches by 10.
0.43 inches * 10 = 4.3 inches
Answer:
the answer is d. 4x²+x-6
Step-by-step explanation:
In order to combine the fractions, they need to have the same denominator.
So, multiply each of their numerators by the denominator they need to be equivalent.
This would look like this:
3x/x+3 --> 3x(x)/x(x+3) ---simplify this as--> 3x²/x(x+3)
x-2/x --> (x-2)(x+3)/x(x+3) ---simplify this as --> x²+x - 6/x(x+3)
3x 3x(x) x-2 (x-2)(x+3)
----- ---> ----- and -------- ---> ---------
x+3 x(x+3) x x(x+3)
now that both fractions have the same denominator, we can add their numerators.
3x² + x²+x-6 = 4x²+x -6
This should now look like this:
4x²+x -6
-------------
x(x+3)
The answer to the math probability question you are presenting above would be .475 or (47.5%). The value of 3 years multiplied by 1000 would equal to 3000, thus the person will listen to music 3000 hours a year - which is two standard deviations than the mean. Following the empirical rule, the answer would be .475.
Perhaps it suffices to say that
![\displaystyle\frac1{1^2}+\cdots+\frac1{n^2}=\sum_{k=1}^n\frac1{k^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac1%7B1%5E2%7D%2B%5Ccdots%2B%5Cfrac1%7Bn%5E2%7D%3D%5Csum_%7Bk%3D1%7D%5En%5Cfrac1%7Bk%5E2%7D)
converges to
as
, while
. Then
![\displaystyle\lim_{n\to\infty}a_n=\infty\cdot\frac{\pi^2}6=\infty](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bn%5Cto%5Cinfty%7Da_n%3D%5Cinfty%5Ccdot%5Cfrac%7B%5Cpi%5E2%7D6%3D%5Cinfty)
so
diverges.