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.
-5(x+7)<-10.
You need to use the distributive property.
-5x - 35 < -10.
You need to cancel out -35, so you add it to itself, & -10.
-5x < 25.
You need to divide -5 by itself & 25.
x>-5.
Hey there!
2x + 8y = 20
2x + 8(2) = 20
2x + 16 = 20
SUBTRACT 16 to BOTH SIDES
2x + 16 - 16 = 20 - 16
CANCEL out: 16 - 16 because it give you 0
KEEP: 20 - 16 because it help solve for the x-value
NEW EQUATION: 2x = 20 - 16
SIMPLIFY IT!
2x = 4
DIVIDE 2 to BOTH SIDES
2x/2 = 4/2
CANCEL out: 2/2 because it give you 1
KEEP: 4/2 because it give you the x-value
NEW EQUATION: x = 4/2
SIMPLIFY IT!
x = 2
Therefore, your answer is: x = 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
7. 0.4
8. 0.55
9. 0.125
10. 3.5
11. 11.8
12. 7.625
13. 0.556 rounded nearest 10th = 0.6
14. 0.455 rounded nearest 10th = 0.5
15. 6.714 rounded nearest 10th = 6.7
Hope this helps :)
Step-by-step explanation:
1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6
a = 2
b = 4
c = 3
d = 4
e = 6
