Answer:
= The exponent is 12
Step-by-step explanation:
(9.1 × 10^9)(7.5 × 10^2)
When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents
(a* 10^b) (c* 10^d) = ac * 10^(b+d)
(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)
=68.25 * 10^11
But this is not proper scientific notation. We can only have 1 number in front of the decimal. We need to move the decimal 1 place to the right. That adds 1 to the exponent.
=68.25 * 10^11 = 6.825 * 10^(11+1)
= 6.825 * 10^12
Answer:
3x=2y
Step-by-step explanation:
subtract on from each side 4x-1=1-1+2y=3x+2y
Answer: -4, -3, -2
Step-by-step explanation:
By inspection, we know
is a root.
We can thus rewrite the equation as
![(x+2)\left(\frac{x^3 + 9x^2 + 26x+24}{x+2} \right)=0\\\\(x+2)(x^2 + 7x+12)=0\\\\(x+2)(x+3)(x+4)=0\\\\x=-4, -3, -2](https://tex.z-dn.net/?f=%28x%2B2%29%5Cleft%28%5Cfrac%7Bx%5E3%20%2B%209x%5E2%20%2B%2026x%2B24%7D%7Bx%2B2%7D%20%5Cright%29%3D0%5C%5C%5C%5C%28x%2B2%29%28x%5E2%20%2B%207x%2B12%29%3D0%5C%5C%5C%5C%28x%2B2%29%28x%2B3%29%28x%2B4%29%3D0%5C%5C%5C%5Cx%3D-4%2C%20-3%2C%20-2)
Answer:
3-6
Step-by-step explanation:
because the distributive property
I think that the missing word here is:
"with the amount of the material that Michelle has"
Let's say that her landing strip is x miles long, then its area would be:
![\frac{1}{6} *x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20%2Ax)
We also know how big it is:
![\frac{1}{6} *x= \frac{1}{1 500}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20%2Ax%3D%20%5Cfrac%7B1%7D%7B1%20500%7D)
now, let's multiply both sides by 6:
![\frac{6}{6} *x= \frac{6}{1 500}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B6%7D%20%2Ax%3D%20%5Cfrac%7B6%7D%7B1%20500%7D)
![1 *x= \frac{3}{750}](https://tex.z-dn.net/?f=1%20%2Ax%3D%20%5Cfrac%7B3%7D%7B750%7D)
![x= \frac{1}{250}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B1%7D%7B250%7D)
So the answer is that it would be
![x= \frac{1}{250}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B1%7D%7B250%7D)
miles wide