Answer:
lori has run 2.62 miles
Step-by-step explanation:
Do 26.2/10
64 lb = 29.0299 KG
Rounding to the nearest hundredth, it's 29.03 KG
Answer:
13
Step-by-step explanation:
If he reads 119 pgs in 7 days that mean 119/7 = 17 he reads 17 pgs per day
next 340-119 = 221 then 221/17= 13
<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is 
We have to solve the above expression using change of base formula which is given as
Now, let us first apply logarithm for the given expression.
Then given expression turns into as, 
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
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
