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:
The confidence interval is 
Step-by-step explanation:
We have given,
The Z interval (23.305,25.075)
Mean 
Sample n=30
To find : The confidence interval?
Solution :
We know, The confidence interval is in the format of

E denotes the margin of error,

Where, U is the upper limit U=25.075
L is the lower limit L=23.305



Substitute the value of E and
in the formula,


Therefore, The confidence interval is 
D will form a triangle
good luck
An equation that correctly represent this relationship if x represents the number of pounds of fertilizer and y the number of ounces of weed killer is 0.5x + 3.5y = 70
<u>Solution:</u>
Given that, Bill spent 70 on fertilizer and weed killer for his lawn
Each pound of fertilizer cost 50 cents and each once of weed killer cost 3.50
We have to write an equation, if x represents the number of pounds of fertilizer and y the number of ounces of weed killer.
Now,<em> total amount = amount for fertilizers + amount for weed killers.</em>
Total amount = number of pounds of fertilizers x cost per pound + number of ounces of weed killer x cost per ounce.

Hence, the equation is 0.5x + 3.5y = 70
we know that
1) You have
of a pie leftover after your party
2) Each
guest takes home
of the leftover pie
To find the fraction of the original pie does each guest take home,
Multiply
by 
so

<u>Simplify </u>
Divide by
both numerator and denominator

therefore
<u>the answer is</u>
