The completely factored form of p^4-16 is:
Step-by-step explanation:
We have to factorize the given expression to get the final result
Given
p^2-4 can further be factored again
![=(p^2+4)[(p)^2-(2)^2]\\=(p^2+4)(p+2)(p-2)](https://tex.z-dn.net/?f=%3D%28p%5E2%2B4%29%5B%28p%29%5E2-%282%29%5E2%5D%5C%5C%3D%28p%5E2%2B4%29%28p%2B2%29%28p-2%29)
The completely factored form of p^4-16 is:
Keywords: Factorization
Learn more about factorization at:
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Answer:
( t - p ) / 85x = h
( t - 265.95 ) / 85x = h
648.45 - 265.95 / 85x = 3.32h
h = 3.32
Therefore ( t - p ) / 85x = 3.32
Step-by-step explanation:
648.45 - 265.95
282.50 /85
= 3.32 hrs
Finding equation to find hours can be shown as
( t - p ) / 85x = 3.32
How we found equation to find total
Parts = 19 x 14 - 5/100 = 266- 0.05
648.45 - 265.95 = 282.5
282.5/85 = 3.323 near to 3,233529
Labour = 85x = 17 (5 + x)
Equation = 17(5+ x) + 14(19) - 5/100 = 648.45 where x = 85
Equation = ( 85x x 3 1/3) + 265 - 19/20 = t
<span>If Mary earns 7$ an hour, we need to multiplicate 7$ by the number of hours worked for the entire week so we can get the salary per week. And when we want to know how many hours she had worked, we have to "transform" the equation :
Salary per week = salary per hours x worked hours
Here, we know to informations : salary per hours and salary per week.
Worked hours = salary per week / salary per day
Worked hours = 143.50 / 7
Worked hours = 20.5
The greatest number of hours thats he works is 20h30.</span>
X: earn per hour during the week
y: earn per hour during the weekend
13x + 14y = 250.90
15x + 8y = 204.70
Multiply the first equation by 4 and the second equation by 7
52x + 56y = 1003.6
105x + 56y = 1432.90
Subtract the first equation from the second:
53x = 429.30
x = 429.30/ 53
x = 8.10
Solve any of the equation for y:
15x + 8y = 204.70
y = [204.70 - 15(8.10)]/8 = 10.40
y - x = 10.40 -8.10 = 2.30
Answer: she earns $2.30 per hour more during the weekend than during the week.
Answer:
252 pi cubic units
Step-by-step explanation:
The base has a radius of 6 units and the height is 7 units.
The area of the base is (pi)(6 units)^2.
Thus the volume of the cylinder is
V = (pi)(6 units)^2*(7 units), or
V = 252pi cubic units
