F(x) = ²log(3x +2) F'(x) = ...?

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

Hello,

If you mean $f(x)=log_2(3x+2)= \dfrac{ln(3x+2)}{ln(2)} \\

f'(x)= \dfrac{3}{ln(2)*(3x+2)}$

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Find the measure of the central angle of a sector if its area is 5 pi and the radius is 6

lesantik [10]

For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees

3 0

3 years ago

Juan went out to eat dinner, and the meal cost $60.00. If Juan received an 18% discount, what was the total value of the discoun

DaniilM [7]

Answer:

The total value of the discount was $10.80.

Step-by-step explanation:

Since we are finding the value of the discount, we just need to find 18% of 60.

We can convert 18% into a decimal.

18%=0.18

Multiply.

0.18*60=10.8