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:
80%
Step-by-step explanation:
Focus on the important parts of the problem:
The present salary is 25% more than the previous salary.
previous = % of present ?
<u>Use a mock/fake situation.</u> Let' say the previous salary is $100.
100 = % of present
Present salary is $100 increased by 25%.
$100 X 1.25 = $125
100 = % of 125
Solve this in decimal form (convert it to a percentage later).
Let x be the percentage in decimal form.
100 = 125x
100/125 = x Isolate "x" by dividing by sides by 125
x = 0.80
Convert 0.80 to percentage by multiplying by 100.
0.80 X 100 = 80%
When comparing two things using percentage, 100% is the same. Less than 100% is less and more than 100% is more.
Since his previous salary was less than his present salary, this answer makes sense.
Therefore his previous salary was 80% of his present salary.
Answer:
g(t) - h(t) = -2t - 1
Step-by-step explanation:
g(t) - h(t) = t-3-3t+2
= -2t -1
Answer:
y= -4 x+3
Step-by-step explanation: A(1, -1)
the equation is y - y (A)=m*( x-x(A) )
y-(-1)=-4(x-1)
y+1=-4x+4
y= -4x+4-1
y=-4x+3
y=-4x+4-1
