(6.4 x 10^8 meter/sec) x (1 km / 1,000 meter) x (3,600 sec/hour) =
(6.4 x 10^8 x 3,600 / 1,000) km/hour =
177-7/9 km/hour
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: None of these
Explanation:
f(g(5)) first let’s find g(5)
We know:
g(x) = x - 2
g(5) = 5 - 2
g(5) = 3
Thus, f(g(5)) = f(3) because g(5) = 3
=> f(3) = 3(3) + 10
=> f(3) = 9 + 10
=> f(3) = 19
Therefore, f(g(5)) = 19
<span>for writing 32.043, we first should know more information about such a number, 32.043 is a decimal number, 32 is called the integer part, and 043 is decimal part. So every decimal number can be written as a sum of two or more another decimal numbers, for example, 32.043= 30 + 2 + 0.04 + 0.003.</span>
Answer:
y = 2x - 3
Step-by-step explanation:
