The equation is:
[e^x] [e^(2x)] = 4
1) Applying property of multiplication of powers wiith same base =>
e ^ (x + 2x) = 4
=> e ^ (3x) = 4
2) Applying logarigth properties
3x = ln(4)
=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621
Answer: x = ln(4) / 3 ≈ 0.4621
Answer:
(x-6) (x-4)
Step-by-step explanation:
x^2 - 10x + 24
What 2 numbers multiply to 24 and add to -10
-6*-4 = 24
-6+-4 = -10
(x-6) (x-4)
Answer:
5x12
Step-by-step explanation:
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Answer:
2.83 inches
Step-by-step explanation:
The formula for surface area of cube = 6s²
Where
s = side length of cube
S.A = 6s²
s² = S.A/6
s = √S.A /6
For cube a
Surface area = 1200 in²
Hence,
side length = √1200/6
Side length = √200
= 14.14 inches
For cube b
Surface area = 768 in²
Hence,
side length = √768/6
Side length = √128
= 11.13 inches
How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?
Therefore,
14.14 inches - 11.13 inches
= 2.83 inches
Answer:
38
Step-by-step explanation:
Pemdas
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
