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Convert hours to minutes
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1 hour 55 mins = 60 + 55 = 115 mins
1 hour 50 mins = 60 + 50 = 110 mins
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Speed = 36/h
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1 hour = 36 km
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Rewrite 1 hour as 60 mins
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60 mins = 36 km
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Find 1 min
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1 min = 36 ÷ 60
1 min = 0.6 km
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Find 115 mins
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1 min = 0.6 km
115 min = 0.6 x 115
115 min = 69km
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Speed = 72km/h
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1 hour = 72 km
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Write 1 hour as 60 mins
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60 mins = 72 km
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Find 1 min
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1 min = 72 ÷ 60
1 min = 1.2 km
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Find 110 min
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1 min = 1.2 km
110 min = 1.2 x 110
110 min = 132 km
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Total Distance traveled:
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69km + 132km = 201km
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Answer: 201 km
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So let f(x) = x^(2/3)
<span>Then let f'(x) = 2/3 x^(-1/3) = 2 / (3x^(1/3)) </span>
<span>When x = 8, </span>
<span>f(8) = 8^(2/3) = 4 </span>
<span>f'(8) = 2 / (3*8^(1/3)) = 1/3 </span>
<span>So near x = 8, the linear approximation is </span>
<span>f(x) ≈ f(8) + f'(8) (x - 8) </span>
<span>f(x) ≈ 4 + 1/3 (x - 8) </span>
<span>So the linear approximation for x = 8.03 is... </span>
<span>f(8.03) ≈ 4 + 1/3 (8.03 - 8) </span>
<span>f(8.03) ≈ 4 + 1/3 (0.03) </span>
<span>f(8.03) ≈ 4.01 </span>
<span>8.03^(2/3) ≈ 4.01 </span>
5.831
i looked it up online seems simple enough sorry if you needed an explanation
Answer:
Length = 150 yards
Width = 100 yards
Step-by-step explanation:
We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.
It will take the shape of a rectangle, with a dividing fence down the center.
Let W and L, Width and Length of the larger enclosure.
See attachment.
W= Area of the larger enclosure.
The perimeter is 2W + 2L.
The dividing fence is 1W
We know that we only have 600 yards of fence, so:
2W + 2L + 1W = 600 yards
Area = W x L
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3W + 2L = 600 (yards)
2L = 600 -3W
L = (600-3W)/2
L = 300 -(3/2)W
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Use this expression in the Area calculation:
Area = W x L
Area = W x (300 -(3/2)W)
Area = 300W -(3/2)W^2)
To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.
Area' = 300 -2(3/2)W)
0 = 300 - 3W
3W = 300
W = 100 yards
Since 3W + 2L = 600
L = (600 - 3W)/2
L = (600 - 3(100))/2
L = 150 yards
Area = 150*100 = 15,000 yards^2
Answer: 192 people
Step-by-step explanation:
We can set up a ratio.
Let x be the number of men working in the company.

We can cross umltiply.
360 = 5x
x = 72 men.
Therefore, the total number of employees = 120 women + 72 men
= 192 people.