Answer:
The variation rate is 4.07 × 10⁻⁵ cm²/ºC
Step-by-step explanation:
The relationship of the change in length as a function of the temperature, which are given in this problem can be written by the expression for the area of a rectangle
a = L × W
Differentiating both sides,
=
= W + L
The values they give us are
= 1.1 × 10⁻⁵ cm/ºC
= 8.9 × 10⁻⁶ cm/ºC
W = 1.6 cm
L= 2.6 cm
Substituting the values and calculating
= (1.6 × 1.1 × 10⁻⁵) + (2.6 × 8.9 × 10⁻⁶)
= (1.76 × 10⁻⁵) + (2.31 × 10⁻⁵)
= 4.07 × 10⁻⁵ cm²/ºC
The variation rate is 4.07 × 10⁻⁵ cm²/ºC
Answer:
2.576
Step-by-step explanation:
Given :
Confidence level (α) = 99%
Z(1 - α)/2 = Z(1 - 99%)/2
Z1%/2 = Z1%/ 2
Z0.5% = Z0.005
Z(0.99 + 0.005) = Z0.995
Using the Z distribution table ; locate the z value for the proportion 0.995 ; this corresponds to approximately 2.57
Similarly, using the Invnorm calculator function :
Invnorm(0.995) gives a Zscore of :
2.576
Answer:
Reduce the greatest common factor on both sides of the equation: (2x+y=12
(x-3y=27
Rearrange like terms to the same side of the equation: (2x+y= 12
(x=27+3y
Substitute into one of the equations: 2(27+3y)+y=12
Apply Multiplicative Distribution Law: 54+6y +y=12
Rearrange unknown terms to the left side of the equation: 6y+y=12-54
Combine like terms: 7y=12-54
Calculate the sum or difference: 7y=-42
Divide both sides of the equation by the coefficient of variable: y= -42÷7
Calculate the product or quotient: y= -6
Substitute into one of the equations: x=27+3×( -6)
Remove the parentheses: x=27-3×6
Calculate the product or quotient: x=27-18
Calculate the sum or difference: x=9
The solution of the system is: x=9
y=-6
Answer:
x=9
y=-6
Is this 2 questions or is it just one whole question?