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:
C.
$5,509.50
Step-by-step explanation:
The computation of the estimated total tax due in case of taxable income for $43,500 is shown below:
Since in the question the income brackets and based on the income the different tax is to be charged
For $9,525, the 10% tax is charged i.e
= $952.50
Upto $38,700, the 12% tax is charged i.e
= $3,500.88
The remaining amount left is
= $1,055.78
Now the total tax due is
= $952.50 + $3,500.88 + $1,055.78
= $5,509.16 approx i.e $5,509.50
The condition for the expected value in the goodness of fit test is that the expected frequency is at least 5.
According to the statement
we have to find the condition of the expected values in the case of testing of goodness-of-fit test.
So, For this purpose we know that the
The goodness of fit test is of a statistical model describes how well it fits a set of observations. Measures of goodness of fit typically summarize the discrepancy between observed values and the values expected.
So, The main condition of the expected value for the goodness of fit test is
For each category, the expected frequency is at least 5.
Without this condition the test is not possible, so overall this the main condition related the goodness of fit test.
So, The condition for the expected value in the goodness of fit test is that the expected frequency is at least 5.
Learn more about goodness of fit test here
brainly.com/question/17257574
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Answer:
C) Between 9 and 13
Step-by-step explanation:
If 40% is 5 gallons, then 20% is 2.5 gallons
If you multiply both by 5, you get 12.5, which is between 9 and 13
Sorry for my weird way of math
F(x) = 2x - 4
f(2 ≤ x) = 2(2 ≤ x) - 4
f(x ≥ 2) = 2(x ≥ 2) - 4
f(x ≥ 2) = 2(x) ≥ 2(2) - 4
f(x ≥ 2) = 2x ≥ 4 - 4
f(x ≥ 2) = 2x ≥ 0
f(x ≥ 2) = x ≥ 0
f(x) = 2x - 4
f(x ≤ 6) = 2(x ≤ 6) - 4
f(x ≤ 6) = 2(x) ≤ 2(6) - 4
f(x ≤ 6) = 2x ≤ 12 - 4
f(x ≤ 6) = 2x ≤ 8
f(x ≤ 6) = x ≤ 4
