Answer: 
Step-by-step explanation:
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.
So equal slices
total=x
she ate 4 slices from x so -4
x-4
she had 4 left
x-4=4
the equation would be x-4=4
A cosine is just a sine shifted to the left by π/2. A cosine of 4x is shifted to the left by only π/8 because of the factor 4. Sketch them.
The region we're looking for is this sausage-shaped part between the cos and the sin.
The x intercepts are at π/8 for the cosine and π/4 for the sine. The midpoint between them is at (π/8 + π/4)/2 = 3/16π.
The region is point symmetric around the x axis, so the y coordinate of the centroid is 0.
So the centroid is at (3/16π, 0)
Answer:
B) 1.65 × 10⁻³
Step-by-step explanation:
A number in <em>scientific notation</em> has the form A × 10ⁿ.
A is a number from 1 to 10, but not 10 itself and is called the <em>coefficient.</em>
n is an integer and is called the <em>exponent</em>.
To convert a small decimal number to exponential notation, you move the decimal point to the right until you have one nonzero digit in front of the decimal point.
The exponent is negative of the number of places you moved the decimal point.
To convert 0.001 65 to scientific notation:
Move the decimal point to the right until it is just past the 1. The coefficient is 1.65
Count the number of places you have moved the decimal (three). The exponent is -3.
The number in scientific notation is 1.65 × 10⁻³.
