Answer:
B
Step-by-step explanation:
e is the base of the natural log system.
take the natural log of both sides.
ln(e^a) = ln(60) The power can come down
a ln(e) = ln(60) The natural log of e = 1
a * 1 = ln (60)
a = ln(60)
B is the answer b.converse
Answer:
Area of gray region = 
Step-by-step explanation:
The area covered by the furniture can be subtracted from the total area of the room to calculate the area of the gray region.
<em>Total</em> area of the room: 
Area taken up by furniture: 
Area of gray region = total area of the room - area taken up by furniture
Area of gray region = 
Remember to distribute the negative sign:
Area of gray region = 
Combine like terms:
Area of gray region = 
Answer:
(2 x + 3) (2 x + 9)
Step-by-step explanation:
Factor the following:
4 x^2 + 24 x + 27
Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):
9 (2 x + 3) + 2 x (2 x + 3)
Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):
Answer: (2 x + 3) (2 x + 9)