In order to simplify a fraction, we have to find a common factor in both numerator and denominator. So, let's start by factor the expressions completely: at the numerator we have
At the denominator we have
So, the fraction can be written as
You can see that there is a factor 
in common, that can be simplified:
The length of the band in terms of π is given by the expression:
L = 40mm + π*10mm
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How to get the length of the band?</h3>
Remember that for a circle of diameter D, the circumference is:
C = π*D.
Now, if you look at the image, you can see that the length of the band will be equal to 4 times the diameter of the pencils (one time for each side). Plus 4 times one-fourth of the circumference of each pencil (for the four corners).
because the diameter is 10mm, the length of the band will be:
L = 4*10mm + 4*(π*10mm/4)
L = 40mm + π*10mm
This is the length of the band in terms of π.
If you want to learn more about circles:
brainly.com/question/14283575
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Answer:
Step-by-step explanation:
Exact Form: x(39)/(2)
Mixed form:x=19(1)/(2)
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Hope this helps :)
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Answer:
y = 3(2^x)
Step-by-step explanation:
Put the given point values in the equation and solve for 'a' and 'b'.
3 = a(b^0) = a . . . . . for x=0, y=3
The y-intercept has given us the value of 'a'.
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The other point will tell us 'b'.
48 = a(b^4) = 3(b^4) . . . . . for x=4, y=48
16 = b^4 . . . . . . . . . . . . . . . divide by 3
2^4 = b^4 ⇒ b = 2
The exponential function is ...
y = 3(2^x)
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<em>Additional comment</em>
We can use roots to find b:
16^(1/4) = (b^4)^(1/4) = b
2 = b . . . . your calculator can do this, or √(√16) = 16^(1/4) = 2.
