Answer:
ln e = 1
ln e 2x = 2x
ln 1 = 0
Step-by-step explanation:
ln e
ln(2.718282) = 1
In e 2x
ln(2.718282)(2)x = 2x
ln 1 = 0
Answer:
16.2feet
Step-by-step explanation:
Using the SOH CAH TOA identity
Given the following
Base side = 24feet
angle of elevation = 34degrees
Required
Height of the tree (opposite)
tan theta = opposite/adjacent
tan 34 = H/24
H = 24tan34
H = 24(0.6745)
H = 16.2feet
Hence the height of the tree is 16.2feet
Answer:
- <u><em>The solution to f(x) = s(x) is x = 2012. </em></u>
Explanation:
<u>Rewrite the table and the choices for better understanding:</u>
<em>Enrollment at a Technical School </em>
Year (x) First Year f(x) Second Year s(x)
2009 785 756
2010 740 785
2011 690 710
2012 732 732
2013 781 755
Which of the following statements is true based on the data in the table?
- The solution to f(x) = s(x) is x = 2012.
- The solution to f(x) = s(x) is x = 732.
- The solution to f(x) = s(x) is x = 2011.
- The solution to f(x) = s(x) is x = 710.
<h2>Solution</h2>
The question requires to find which of the options represents the solution to f(x) = s(x).
That means that you must find the year (value of x) for which the two functions, the enrollment the first year, f(x), and the enrollment the second year s(x), are equal.
The table shows that the values of f(x) and s(x) are equal to 732 (students enrolled) in the year 2012,<em> x = 2012. </em>
Thus, the correct choice is the third one:
- The solution to f(x) = s(x) is x = 2012.
Answer:
-11x+12
Step-by-step explanation:
(x^2-4x+3)-(x^2+7x-9)
x^2-x^2-4x-7x+3-(-9)
-11x+3+9
-11x+12
Answer:
Step-by-step explanation:
We can plug this into a formula and get
the .9075 comes from 1 - the depreciation value of 9.25% which converts to .0925 in decimal form.
? is what we are trying to solve for.
We can divide both sides by 19,700 and we get
so ? is about 13.
