I got 20,737 but I could be wrong so I will attach my algorithm and work.
2x+6 is the base
Then the equation is logarithm of 144 on basis 2x + 6 = 2
Then [2x + 6]^2 = 144
Now expand the square binomial
4x^2 + 24x + 36 = 144
4x^2 + 24x + 36 - 144 = 0
4x^2 + 24x - 108 = 0
Divide by 4
x^2 + 6x - 27 = 0
Factor: (x + 9 ) (x - 3) = 0
x = -9 and x = 3
The only valid is x = 3, because x = -9 yields 2x + 6 = - 12 and the logarithm function cannot have negative basis.
Then the answer is x = 3.
Answer:
$44.55
Step-by-step explanation:
10% of 45 is 4.5
45 * 0.1 = 4.5
So subtract 4.5 from 45
45 - 4.5 = 40.5
Now get 10% of 40.5
40.5 * 0.1 = 4.05
Add 4.05 to 40.5
4.05 + 40.5 = 44.55
Answer: Surface area = 68π inches²
Step-by-step explanation:
The formula for determining the total surface area of the circular cylindrical metallic rod is expressed as
Total surface area = 2πr² + 2πrh
Where
r represents the radius of the cylindrical rod.
h represents the height of the cylindrical rod.
π is a constant whose value is 3.14
From the information given,
Radius = 2 inches
Height = 15 inches
Therefore,
Surface area = (2 × π × 2²) + 2 × π × 2 × 15) = 8π + 60π
Surface area = 68π inches²
Answer:
I'm pretty sure it's 13.
Step-by-step explanation:
