Answer:
∴ Constant of Proportionality is 32
Step-by-step explanation:
Here Given;
(equation-1)
(equation-2) (divide with 'g' on both side)
We know,
The Constant of Proportionality equation is given;
(equation-3)
Where 'k' is known as Constant of Proportionality.
Comparing equation-1 and equation-3;
and 
Now equation-2 become;
Plug and in above equation;
(equation-4)
By comparing equation-2 and equation-4;
So Constant of Proportionality is 32
Answer:
The result is 60
Step-by-step explanation:
We have to use this expression showing BODMAS rule. According to the rule, we must first solve the brackets. In our expression, the term within the bracket is (12-4) squared = (8) squared = 64.
Then we need to perform the addition followed by subtraction.
The expression becomes:
11 squared - 64 + 3
= 121 - 64 + 3
= 124 - 64
= 60
So, the result of the expression is 60.
Answer:
The answer is currently B. 3 blocks per minute!
Hope this helped you out! :D
Answer:
b = -18
Step-by-step explanation:
(3 + 4i) (-3-2i)
When we foil:
-9 + -6i + -12i + -8i^2
-8i^2 = +8
Combine like terms:
-1 + -18i
Answer:
17) MC(x) = 35 − 12/x²
18) R(x) = -0.05x² + 80x
Step-by-step explanation:
17) The marginal average cost function (MC) is the derivative of the average cost function (AC).
AC(x) = C(x) / x
MC(x) = d/dx AC(x)
First, find the average cost function:
AC(x) = C(x) / x
AC(x) = (5x + 3)(7x + 4) / x
AC(x) = (35x² + 41x + 12) / x
AC(x) = 35x + 41 + 12/x
Now find the marginal average cost function:
MC(x) = d/dx AC(x)
MC(x) = 35 − 12/x²
18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:
m = (40 − 50) / (800 − 600)
m = -0.05
Use point-slope form to find the equation of the line:
p(x) − 50 = -0.05 (x − 600)
p(x) − 50 = -0.05x + 30
p(x) = -0.05x + 80
The revenue is the product of price and demand:
R(x) = x p(x)
R(x) = x (-0.05x + 80)
R(x) = -0.05x² + 80x
