Answer:
8.6257*10^4
Step-by-step explanation:
move the decimal left 4 places
multiply 10^however many decimal places you moved
boom
The total weekly pay of the company is $754.98
What is total hours worked for the week?
The overtime is the excess of total hours, which is 47 hours, over the regular hours of 40 hours of work a week, in essence, overtime hours is 7(47-40)
Overtime rate=regular hour pay*1.5
regular hour pay=$14.95
overtime rate=$14.95*1.5
overtime rate=$22.425
overtime pay for 7 hours=7*$22.425
overtime pay for 7 hours=$156.98
The regular pay is 40 hours of regular time multiplied regular pay per hour
regular pay=$14.95*40
regular pay=$598.00
total pay=regular pay+overtime
total pay=$598.00+$156.98
total pay=$754.98
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The radius of the completed cone is
... 18×(300°/360°) = 15
The height of the completed cone is found from the Pythagorean theorem:
... 15² + h² = 18²
... h = √99 = 3√11
The volume is given by
... V = (1/3)πr²·h = (1/3)π·15²·3√11
Dividing this value by π gives 225√11 cubic units.
Answer:
D) 0 = 2(x + 5)(x + 3)
Step-by-step explanation:
Which of the following quadratic equations has no solution?
We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.
A) 0 = −2(x − 5)2 + 3
0 = -2(x - 5) × 5
0 = (-2x + 10) × 5
0 = -10x + 50
10x = 50
x = 50/10
x = 5
Option A has a solution of 5
B) 0 = −2(x − 5)(x + 3)
Take each of the factors and equate them to zero
-2 = 0
= 0
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Option B has a solution by one of its factors as a positive value of 5
C) 0 = 2(x − 5)2 + 3
0 = 2(x - 5) × 5
0 = (2x -10) × 5
0 = 10x -50
-10x = -50
x = -50/-10
x = 5
Option C has a solution of 5
D) 0 = 2(x + 5)(x + 3)
Take each of the factors and equate to zero
0 = 2
= 0
x + 5 = 0
x = -5
x + 3 = 0
x = -3
For option D, all the values of x are 0, or negative values of -5 and -3.
Therefore the Quadratic Equation for option D has no solution.