Answer:
Simplified: 40
Step-by-step explanation:
To simplify this, we need to first separate the terms in this expression. There is a property of exponents that says: 
We can do this same thing to simplify this expression. Next, we can simplify each of these terms. 
simply becomes 4. In the other term, the 
simply cancel each other and leave the 10. This means that we're left with 4*10, which is 40
the standard form for a horizontal ellipse is
X^2/a^2 + y^2/b^2 = 1
Substitute 54 for b and and use (8,18) as the
point to find a
x=8
y=18
8^2/a^2 + 18^2/54^2 =1
64/a^2 + 324/2916 = 1
324/2916 reduces to 1/9
64/a^2 + 1/9 = 1
64/a^2= 1-1/9
64/a^2 = 8/9
64*9/8 = a^2
576/8 = 72
A^2 = 72
A = square root(72) = 8.485
So formula
would be x^2/72 + y^2/2916 =1
2,150 estimated would be 2,000. Since she flies there and back multiply 2,000 by 2. Since she flies it twice multiply 4,000 by 2. Estimated: 8,000 miles. To find the exact miles Do the same thing but with 2,150: 2,150 times 2 = 4,300. 4,300 times 2 = 8,600. She flies exactly 8,600 miles per year :)
To help with thinking about this, we can say that the 6 gallons of 50% acid contains 3 gallons of pure acid and 3 gallons of filler. This would make the concentration 3/6, or 50%. Adding a gallon of pure acid would shift the concentration to 4/7, or 57.1%.
When the relationship becomes 70%, four gallons of pure acid have been added.
3+4 7
—— = — = 70%
6+4 10
Hello!
To find the probability of two events, you need to multiply the probability of all the events that make the compound event. In this case, we need to multiply the probability of selecting urn 1 and selecting a white marble from urn 1.
First, we have two urns, so we have a 1/2 chance of selecting urn 1.
Next, we have 16 total marbles in urn 1. If we have 5 white marbles, this gives us 5/16.
Finally, we multiply the probabilities. 1/2(5/16)=5/32.
Our final probability is 5/32, or about 16%.
I hope this helps!
