39.5854 (this answer is rounded)
Answer:
13.75/ hour
Step-by-step explanation:
$192.50/14 hours= $13.75/hour
$247.50/18 hours= $13.75/hour
$453.75/33 hours= $13.75/hour
Answer:
7.4 x 10 to the 9th power
Step-by-step explanation:
At the end of numbers, there is a decimal point. when writing in function notation, you bring the point to the left or to the right depending on if it is a negative or a positive number
in this problem, you are dealing with a positive number, so bring the decimal point to the left. count how many numbers it takes to get in between, in this number, 7 and 4. it takes 9 spaces to the left. now the decimal point has been moved, your number goes from 7,400,000,000 to 7.4 x 10 to the 9th power(7.4 x 10^9)
Answer:
Option a.
Step-by-step explanation:
An ordered pair is written in the following form: (x, y). It means, first the independent variable and secondly the dependent variable.
In the diagram, the first circle represents the independent variable, and the second circle represents the dependent variable.
Then, the set of ordered pairs is (From left to right)
(-3, 3) ; (0, 0) ; (2, -2).
So the correct option is option a.
Answer:
For least material to be used lengths of square base and sides = 10 units.
Step-by-step explanation:
Let the lengths of the square base and the sides = x feet, x feet and y feet
Area of the square base = x² feet
Volume of the rectangular prism = Area of the square base × Height
= x²y cubic feet
1000 = x²y
y = 
-------(1)
Material used in the prism = Surface area of the rectangular prism
= 2(lb + bh + hl)
Here, h = height of the prism
l = length of the base
w = Width of the base
Material to be used (S) = 2(xy + x² + xy) - Area of lid
S = 2(x² + 2xy) - x²
S = x² + 2xy
Now by substituting the value of y from equation (1),
S = x² + 
= x² + 
For least amount of material used,
We will find the derivative of the given function and equate it to zero.
S' = 2x - 
2x - = 0
2x³ = 2000
x³ = 1000
x = 10 feet
From equation (1),
y = 
y = 10 feet
Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.
