Answer:
-27
Step-by-step explanation:
-8+4-7-9-2+(-5)
= -4-7-9-2-5
= -20-2-5
= -27
N = regular rate
1.4n= overtime rate
30n + 5(1.4n) = $436.60 (30 hours x regular rate n) plus 5 hours at 1.4 times reg rate.
30n + 7n = $436.60 now add like terms
37n = $436.60 now divide both sides by 37
n= $11.80
Check to see if my answer is reasonable 30 x 12= 360 + 5 x 10 x 1.4 = about 70 (notice that I used 10 instead of 12 here so I could do it in my head)
360 + 70 = 430 - close enough - my answer is reasonable
Check:
(30 x $11.80) + 5 ( 1.4 x 11.80
354 + 5( 16.52)
354 + 82.60 = 436.60 ($436.60)
Answer: Y=1/8
Slope m=0, b =1/8
Step-by-step explanation:
The formula is 4/3 times pi times radius cubed. The radius is 9. 4/3 is 1.33. 3.14 times 9 cubed is 81 times 3.14. That is 254.34. 1.33 times 254.34 is 338.2722. That rounds to 338.
Answer:
Step-by-step explanation:
We want to write the trignometric expression:
As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:
Take the secant of both sides:
Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:
By substitutition:
Using an double-angle identity:
We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:
Simplify. Therefore:
