Using like denominators, we can turn this into 20/12 + 6/12, then you just add the numerators to get 26/12, then simplify to get 13/6
Answer:
a) The marginal cost function is given by
C'(x) = 4 + 0.04x + 0.0003x² (in dollars)
b) C'(70) = $8.27
Step-by-step explanation:
C(x) = 1000 + 4x + 0.02x² + 0.0001x³
a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.
Mathematically,
MC = (dC/dx) = C'(x)
For this question,
C'(x) = 4 + 0.04x + 0.0003x²
b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.
C'(x) = 4 + 0.04x + 0.0003x²
C'(70) = 4 + 0.04(70) + 0.0003(70²)
C'(70) = $8.27
Hope this helps!
Answer:
B
Step-by-step explanation:
Range refers to all the y values that a function has. The table shows that the function has y values: 1, 2, and 4.
The number of square tiles needed is 24 tiles
The formula for calculating the area of a rectangle is expressed as:
A = LW where:
L is the length
W is the width
For the rectangle:
Area = 12 feet × 8 feet
Area = 96ft²
For the square:
Area of a square = L²
Area of a square = 2²
Area of a square = 4ft²
Determine the number of square tiles that will cover the patio.
Number of square tiles needed = Area of rectangle/Area of square
Number of square tiles needed = 96/4
Number of square tiles needed = 24
Hence the number of square tiles needed is 24 tiles.
Learn more here: brainly.com/question/16525056
Answer:
135 grams
Step-by-step explanation:
you want to find the mass of only the grapes, not including the bowl. so in this case, you would subtract the mass of the bowl from the total mass. you do this because you dont need the mass of the bowl. 256g - 121g = 135g :)