Answer:
Approximation f(25.3)=5.03 (real value=5.0299)
The approximation can be written as f(x)=0.1x+2.5
Step-by-step explanation:
We have to approximate 
with a linear function.
To approximate a function, we can use the Taylor series.
The point a should be a point where the value of f(a) is known or easy to calculate.
In this case, the appropiate value for a is a=25.
Then we calculate the Taylor series with a number of terms needed to make a linear estimation.
The value of f'(a) needs the first derivate:
Then
We evaluate for x=25.3
If we rearrange the approximation to be in the form mx+b we have:
Then, m=0.1 and b=2.5.
Answer:
27 cups
Step-by-step explanation:
(3 quarts = 12 cups) (5 pints = 10 cups) (plus 5 cups) = 27 total
Whats the mean,median,mode,range, of 6.5,7.5,7,8,8,8,9,10.5,10?
nekit [7.7K]
Mode=8
Range=4
Mean=15.2777778(rounded up to 15.28 or 15.3)
Median=8
Standard form is written Ax + By = C where A, B, and C are all integers.
In other words, no fractions.
Also, the A or the coefficient of the x term must be positive.
The only thing we need to do is add 7x to both sides to get 7x + y = -1.
So 7x + y = -1 is our answer.
Answer:
○ 
Step-by-step explanation:
Use the Triangular Interior Angles Theorem to figure this out:
180° = [3x]° + [2x]° + [5x]°
![\displaystyle \frac{180°}{10°} = \frac{[10x]°}{10°} \\ \\ 18 = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B180%C2%B0%7D%7B10%C2%B0%7D%20%3D%20%5Cfrac%7B%5B10x%5D%C2%B0%7D%7B10%C2%B0%7D%20%5C%5C%20%5C%5C%2018%20%3D%20x)
Plug this back into the <em>m</em>∠<em>L</em><em> </em>to get 54°.
I am joyous to assist you anytime.
