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Anuta_ua
7 days ago
15

I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing

for the north and south sides costs only $2 per foot. I have a budget of $176 for the project. What are the dimensions of the vegetable patch with the largest area I can enclose?
Mathematics
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ALGEBRA Jake Duffy drove 12,568 miles
lawyer [12517]
The fee Jack Duffy charges per mile is $0.278, making option B correct.

Detailed explanation:

Given:

Jack Duffy's travel distance = d = 12,568 miles

Fixed costs amount to = $1,485.00

Variable costs amount to = $2,015.75

Let the cost per mile charged by Jack Duffy be = $x

According to the provided information

Total cost = Fixed costs + Variable costs

Thus, Total cost = $1,485.00 + $2,015.75

This equates to Total cost = $3,500.75

Therefore,

The cost Jack Duffy charges per mile = \dfrac{\extrm Total cost}{\textrm Total Distance}

Hence, x = $0.278 per mile

This leads us to conclude that Jack Duffy’s charging rate is $0.278 per mile, confirming option B.

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2 months ago
According to the rational root theorem, which statement about f(x)= 12x^3-5x^2+6x+9 is true?
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If rational roots exist, they would be factors of the constant term (9) over factors of the leading coefficient (12).
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2 months ago
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The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran
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a) The hypothesis states that the mean is different from 0.5025 and has been rejected. b) The p-value computed is 0. c) A confidence interval is established as 0.50456 < u < 0.50464. The hypothesis testing is based on a given standard deviation (s.d.) of 0.0001, a sample mean of x = 0.5046 from a sample size of n = 25. The two-sided alternative and significance level of 0.05 were assumed. A Z-score was calculated to show that the hypothesis is rejected since the mean differs from 0.5025.
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