Answer:
The answer is below
Step-by-step explanation:
A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Solution:
The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:
V'(x) = 0
V(x) = x(1500 - x) = length * breadth.
This means the enclosure has a length of x and a width of 1500 - x
Given that:
v(x)=1500x-x². Hence:
V'(x) = 1500 -2x
V'(x) = 0
1500 -2x = 0
2x = 1500
x = 1500 / 2
x = 750 feet
The maximum area = 1500(750) - 750² = 562500
The maximum area = 562500 feet²
Step-by-step explanation:
A) as you can see there is no current flowing in a bar magnet so (incorrect)
B) Lines of magnetic field is going in A-->B direction so it have starting and ending points.(incorrect)
C) Yes whenever a magnetic object is placed near the another magnetic object they either attract or repell so they have a force in a form of push and pull [correct]
D)No because magnetic field lines goes from North--> South so A is the South pole [ incorrect]
E) Yes it will point always towards North pole of the magnet [correct]
F) yes it depends upon the density of field lines[correct]
G)No the near the magnet is it becomes more stronger as compared to magnet kept far.(incorrect)
So option C E F are correct
Hope this helps
Have a great day
Answer:
(b) x ≤ -4
Step-by-step explanation:
There are a few things to note when reading an inequality on a number line.
The number line would contain the following:
i. <em>circles</em>: These can be closed or open. Closed circles are denoted by a shaded small circle showing that the point or number shown on the number line is included in the inequality. Open circles are denoted by an unshaded small circle showing that the point or number shown on the number line is not included in the range of inequality.
ii. <em>arrows</em>: An arrow can point to the right or left. When it points to the right, that means the values greater than the number specified on the number line are included in the range. When it points to the left, the values less than the number are included.
From the given number line,
The type of circle is a closed circle since it is shaded. This means that the number pointed at on the number line (-4 in this case) is included in the range.
Also, the arrow is pointing leftwards. This means that values less than the number pointed at (-4 in this case) are included in the range.
Therefore, the inequality should read,
x ≤ -4
This shows that all values of x less than or equal to -4 are included in the range.
I think there's an image needed to answer this question?
I tried answering without, but you do need the image.
If the length is 40 and the width is 25, the ration of length:width is 40:25.
This can be simplified to 8:5
So the answer would be any drawing with the following dimensions:
1. length 8 ft and width 5 ft
2. length 16 ft and width 10 ft
3. length 24 ft and width 15 ft
4. length 32 ft and width 20 ft
5. length 40 ft and width 25 ft
It's most likely not the last 3 because the sizes are very big, but yeah a scale drawing maintains the same ratio so I assume one of the options for your answers is gonna be one of the answers from 1 - 4 above (5 is the given dimensions so I highly doubt that's the answer)
Answer:
cylinder
Step-by-step explanation: