Option B
The number of light years in
miles is 11508 light years
<em><u>Solution:</u></em>
Given that,
One light-year equals 5.9 x 10^12 miles
Therefore,
![1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }](https://tex.z-dn.net/?f=1%20%5Ctext%7B%20light%20year%20%7D%20%3D%205.9%20%5Ctimes%2010%5E%7B12%7D%20%5Ctext%7B%20miles%20%7D)
To find: Number of light years in
miles
Let "x" be the number of light years in
miles
Then number of light years in
miles can be found by dividing
miles by miles in 1 light year
![\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20light%20years%20in%20%7D%206.79%20%5Ctimes%2010%5E%7B16%7D%20miles%20%3D%20%5Cfrac%7B6.79%20%5Ctimes%2010%5E%7B16%7D%7D%7B5.9%20%5Ctimes%2010%5E%7B12%7D%7D%5C%5C%5C%5C%5Ctext%7BUse%20the%20law%20of%20exponent%20%7D%5C%5C%5C%5C%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%20%3D%20a%5E%7Bm-n%7D%5C%5C%5C%5C%5Ctext%7BNumber%20of%20light%20years%20in%20%7D%206.79%20%5Ctimes%2010%5E%7B16%7D%20miles%20%3D%20%5Cfrac%7B6.79%7D%7B5.9%7D%20%5Ctimes%2010%5E%7B16-12%7D%5C%5C%5C%5C%5Ctext%7BNumber%20of%20light%20years%20in%20%7D%206.79%20%5Ctimes%2010%5E%7B16%7D%20miles%20%3D%201.1508%20%5Ctimes%2010%5E4%5C%5C%5C%5C%5Ctext%7BNumber%20of%20light%20years%20in%20%7D%206.79%20%5Ctimes%2010%5E%7B16%7D%20miles%20%3D%2011508)
Thus number of light years in
miles is 11508 light years
Answer:
900,000
Step-by-step explanation:
there you go bud
I got 67 but I can guarantee it’s right
Answer:
![4c^{7}d^{13}](https://tex.z-dn.net/?f=4c%5E%7B7%7Dd%5E%7B13%7D)
Step-by-step explanation:
![(2cd^{4} )^{2} *(cd)^{5}](https://tex.z-dn.net/?f=%282cd%5E%7B4%7D%20%29%5E%7B2%7D%20%2A%28cd%29%5E%7B5%7D)
![4c^{2}d^{8} *c^{5} d^{5}](https://tex.z-dn.net/?f=4c%5E%7B2%7Dd%5E%7B8%7D%20%2Ac%5E%7B5%7D%20d%5E%7B5%7D)
![4c^{7}d^{13}](https://tex.z-dn.net/?f=4c%5E%7B7%7Dd%5E%7B13%7D)
Answer:
A) The quotient is x^2+7x+7 and the remainder is 10.
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.