Answer:
x = 38
Step-by-step explanation:
using the law of logarithms
• 
x = n ⇔ x = 
, hence
(2x - 12) = 3 ⇒ 2x - 12 = 
= 64
add 12 to both sides
2x = 76 ( divide both sides by 2 )
x = 38
Answer: 2.14 %
Step-by-step explanation:
Given : pH measurements of a chemical solutions have
Mean : 
Standard deviation : 
Let X be the pH reading of a randomly selected customer chemical solution.
We assume pH measurements of this solution have a nearly symmetric/bell-curve distribution (i.e. normal distribution).
The z-score for the normal distribution is given by :-
For x = 6.74
For x = 6.76
The p-value =
In percent, 
Hence, the percent of pH measurements reading below 6.74 OR above 6.76 = 2.14%
Answer: The perimeter is 48 inches. The area is 140
Step-by-step explanation:
Since we have the length and width, we know the formula of perimeter is L+L+W+W. So 10+10+14+14= 48 The formula of area is LxW so 14 x 10= 140
Answer:
δL/δt = 634,38 ft/s
Step-by-step explanation:
A right triangle is shaped by ( y = distance between aircraft and ground which is constant and equal to 405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f and the line between the aircraft and the person. Then we can use Pythagoras theorem and write
L ( distance between aircraft and person )
L² = x² + y² or L² = x² + (405)²
Taken partial derivatives with respect to t we get:
2*L*δL/δt = 2*x*δx/t + 0
Then L*δL/δt = x*δx/dt
At the moment of the aircraft passing over the tower
x = 3040 ft δx/δt = 640 ft/s and L = √ ( 3040)² + (405)²
So L = √9241600 + 164025 L = √9405625 L ≈3066,9 ft
Then:
δL/δt = 3040*640/ 3066,9 units [ ft * ft/s / ft ] ft/s
δL/δt = 634,38 ft/s
Answer:
$7.20
Step-by-step explanation:
