Answer:
6x
Step-by-step explanation:
3x/y=x/2y
Since 2y is 2X greater than y, 6x is 2X greater than 3x.
So,
The answer is 6x.
Answer:
21
Step-by-step explanation:
49 - 4 x 49 / 7 =
49 - 196 / 7 =
49 - 28 =
21
<em>Hope that helps!</em>
Simplify the following:
sqrt(378904)
sqrt(378904) = sqrt(8×47363) = sqrt(2^3×47363):
sqrt(2^3 47363)
sqrt(2^3 47363) = sqrt(2^3) sqrt(47363) = 2 sqrt(2) sqrt(47363):
2 sqrt(2) sqrt(47363)
sqrt(2) sqrt(47363) = sqrt(2×47363):
2 sqrt(2×47363)
2×47363 = 94726:
Answer: 2 sqrt(94726)
Well this is simple a calculator type problem...but if you are curious as the the algorithm used by simple calculators and such...
They use a Newtonian approximation until it surpasses the precision level of the calculator or computer program..
A newtonian approximation is an interative process that gets closer and closer to the actual answer to any mathematical problem...it is of the form:
x-(f(x)/(df/dx))
In a square root problem you wish to know:
x=√n where x is the root and n is the number
x^2=n
x^2-n=0
So f(x)=x^2-n and df/dx=2x so using the definition of the newton approximation you have:
x-((x^2-n)/(2x)) which simplifies further to:
(2x^2-x^2+n)/(2x)
(x^2+n)/(2x), where you can choose any starting value of x that you desire (though convergence to an exact (if possible) solution will be swifter the closer xi is to the actual value x)
In this case the number, n=95.54, so a decent starting value for x would be 10.
Using this initial x in (x^2+95.54)/(2x) will result in the following iterative sequence of x.
10, 9.777, 9.774457, 9.7744565, 9.7744565066299210578124802523397
The calculator result for my calc is: 9.7744565066299210578124802523381
So you see how accurate the newton method is in just a few iterations. :P
The unit rate of gas usage is 35 miles per gallon.
Step-by-step explanation:
"Unit rate" refers to the number of miles for 1 gallon.
<u>From the graph given</u>,
it can be determined that, the car goes 2 miles for 70 gallons and 3 miles for 105 gallons.
To find miles per gallon, <u>use rate formula</u>
Rate= <em>Given miles/ Given gallons</em>= 2/70
Unit Rate= <em>miles/ 1 gallon</em>= X/1
where "X" term refers to number of miles per gallon.
By Comparing the rates we get,
2/70 =X/1
<u>X=35 miles per gallon</u>
Similarly,
3/105 =X/1
<u>X=35 miles per gallon</u>
