The heat produced by current I is
H = I²R
where
R = resistance.
According to the formula, heat produced is proportional to the square of the current.
When a current of I = 2 amps is applied, the heat produced is
H = 10x³ + 80.
This heat includes heat due to a fixed current of 2 amps, and heat due to a variable current of x amps.
Because the heat produced is proportional to the square of the current, write the expressions as
H = (10x)*(x²) + 20*(2²)
The second term on the right is heat due to the fixed current of 2 amps, written as
20*(2²).
Therefore the fixed resistance is R = 20 ohms, and the square of the fixed current is 2².
The first term represents heat due to variable resistance, written as
(10x)*(x²).
Therefore the variable resistance is 10x, and the square of the variable current is x².
Answer:
The variable current is 10x.
Answer: 3
Step-by-step explanation:
A simple way to calculate the distance between numbers on a number line is to count every number between them. A faster way is to find the distance by taking the absolute value of the difference of those numbers. We have to find PQ. TAking the difference we have 94-91= 3.
First, if you convert the improper fraction 9/2 to a mixed number, it will be equal to 9/2.
9/2 = 4 1/2
And if you multiply the top and bottom of a fraction with an integer number, you will have a fraction that is equal to fraction you began with.
I'll use 5 for this example.
9/2 * 5/5 = 45/10
Answer:
14
Step-by-step explanation:
Given that Steve invests in a circus production. The cost includes an overhead of $84,000, plus production costs of $2000 per performance. A sold-out performance brings in $8000.
Sales per performance =8000
Production cost per performance =2000
Contribution per performance = 
Overhead costs = 84000
Break even units = overhead cost/contribution per performance
= 
14 performances should be done to break even
Answer:
4.24
Step-by-step explanation:
Total price = price of the book + 5% of the price of the book
T = total price P = price of the book G = GST
T = P + G
and
G = 5% of P = 0.05P
therefore
T = P + 5%P = 1P + 0,05P = 1.05P
P = T/1.05 = 89/1.05 ≅ 84.76 (it is 84.7619047619)
G = 89 - 84.76 = 4.24
