The answer to this is log14 4
Answer:
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Answer:
Option (4).
Step-by-step explanation:
Outer diameter of the hollow metallic ball = 10 centimeters
Outer radius of this ball = = 5 cm
Volume of the outer ball =
=
Inner radius of the hollow metallic ball = (5 - 1) = 4 cm
Volume of the inner hollow ball =
Volume of the metal used in the metallic ball =
=
=
Therefore, expression given in option (4) will be used to measure the volume of the hollow metallic ball.
Answer:
The solutions are x = 1.24 and x = -3.24
Step-by-step explanation:
Hi there!
First, let´s write the equation:
log[(x² + 2x -3)⁴] = 0
Apply the logarithm property: log(xᵃ) = a log(x)
4 log[(x² + 2x -3)⁴] = 0
Divide by 4 both sides
log(x² + 2x -3) = 0
if log(x² + 2x -3) = 0, then x² + 2x -3 = 1 because only log 1 = 0
x² + 2x -3 = 1
Subtract 1 at both sides of the equation
x² + 2x -4 = 0
Using the quadratic formula let´s solve this quadratic equation:
a = 1
b = 2
c = -4
x = [-b± √(b² - 4ac)]/2a
x = [-2 + √(4 - 4(-4)·1)]/2 = 1.24
and
x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24
The solutions are x = 1.24 and x = -3.24
Have a nice day!
Answer:
Step-by-step explanation:
For this exercuse you need to analize the information provided. You know that:
1) The height of the replica of the Empire State Building with its antenna spire in Las Vegas is 485 feet.
2) The height of the real Empire State building is 1,454 feet.
Finally, in order to find the ratio of height of the replica to the height of the real Empire State building, its necessary to divide the height of the replica of the Empire State Building by the height of the real Empire State building.
Therefore, trough this procedure you get that the ratio of height of the replica to the height of the real Empire State building is:
(This fraction cannot be reduced)