The value of x in the given expression can be either -41 or 45. The correct option is B.
<h3>What is Absolute Value?</h3>
An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.
Given the modulus function (1/5)|x - 4| - 3 = 6. Now, there will be two cases of this because the value of x can be either negative, x<0 or it can positive, x>0. Therefore, the given modulus function can be solved as shown below.
(1/5)(x-4) - 3 = 6
(x/5) - (4/5) - 3 = 6
(x - 4 - 15)/5 = 6
x - 4 -15 = 30
x = 30 + 15 + 4
x = 45
(1/5)(-x+4) - 3 = 6
(-x/5) + (4/5) - 3 = 6
(- x + 4 - 15)/5 = 6
- x + 4 -15 = 30
-x = 30 + 15 - 4
-x = 41
x = -41
Hence, the value of x in the given expression can be either -41 or 45.
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Answer:
<em>908360.67 lb-ft</em>
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Step-by-step explanation:
height of tank= 6 ft
diameter of the tank = 4 ft
density of water p = 62.4 lbs/ft
A is the cross sectional area of the tank
A = 
where r = diameter/2 = 4/2 = 2 ft
A = 3.142 x 
= 12.568 ft^2
work done = force x distance through which force is moved
work = F x d
Force due to the water = pgAh
where g = acceleration due to gravity = 32.174 ft/s^2
Force = 62.4 x 32.174 x 12.568 x 6 = 151393.44 lb
work done = force x distance moved
work = 151393.44 x 6 = <em>908360.67 lb-ft</em>
Drip or drown drip or drown drip or drown
Answer:
-25
Step-by-step explanation:
The following are x-values (inputs) and their y-values (outputs) that are one value apart:
(Input, output)
✅(-2, 20) and (-1, -5)
Difference between their outputs = -5 - 20 = -25
✅(-1, -5) and (0, -30)
Difference between their outputs = -30 -(-5) = -25
✅(0, -30) and (1, -55)
Difference between their outputs = -55 -(-30) = -25
✅(1, -55) and (2, -80)
Difference between their outputs = -80 -(-55) = -25
As we can see the difference of outputs for any two inputs that are one value apart = -25
