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Define x :
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Let the width be x.
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Find Area of the walkway :
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Area = 30x + 30x + 20x + 20x + 4x²
Area = 100x + 4x²
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Find cost of the walkway in term of x:
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1m² = $10
100x + 4x² = 10(4x² + 100x)
(100x + 4x²)m = $(40x² + 1000x)
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Find Width of the walkway :
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The budget is $6000
40x² + 1000x = 6000
40x² + 1000x - 6000 = 0
x² + 25x -150 = 0 //Divide by 40 through
(x - 5)(x + 30) = 0 //Factorise
x = 5 or x = -30 (Rejected, width cannot be negative)
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Answer: The width can be 5m wide.
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Given that the area of the sector is given by:
A=3.142r² S/360
where:
r is the radius
S is the angle measure of the sector
If Mia solved the equation for S, the equations that she wrote would be found as follows;
From A=3.142r² S/360
making S the subject by first dividing both sides by 3.142r^2 we shall have:
A/3.142r²=S/360
next we multiply both sides by 360
360×A/3.142r²=S/360×360
this will give us
(360A)/(3.142r²)=S
therefore the equation that Mia will get is:
S=(360A)/(3.142r²)
Answer:
The regression line is not a good model because there is a pattern in the residual plot.
Step-by-step explanation:
Given is a residual plot for a data set
The residual plot shows scatter plot of x and y
The plotting of points show that there is not likely to be a linear trend of relation between the two variables. It is more likely to be parabolic or exponential.
Hence the regression line cannot be a good model as they do not approach 0.
Also there is not a pattern of linear trend.
D) The regression line is not a good model because there is a pattern in the residual plot.
Answer:
one time
Step-by-step explanation:
because after that you would subtract by 20
