A pahokee yacht service charges its customers the same amount for each hour they rent a yacht, plus a monthly subscription fee.
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Matthew is going to drive from Salt Lake City, Utah, to Las Vegas, Nevada. His car travels a consistentnumber of milesper gallon of gasoline and he has some gasoline in his tank already. Matthew writes theequation 25(x + 3) = 424, where x represents the number of gallons of gasoline he will need to purchase tocomplete the trip.Identify the meaning of each of the constants in Matthew's equation in the context of the problem, then solvethe equation to determine how many gallons of gasoline he must purchase.
The drama club is showing a video of the recent play the first showing began at 2:30 PM the second showing was scheduled to start at 5:25 PM with in half hour break between the showings how long is the video in hours and minutes
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Here is how to do the question,
The Remainder Theorem starts with an unnamed polynomial p(x), where "p(x)" just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in. For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials.
Hope that helps!!!!
Answer:
Remainder Theorem starts with an unnamed polynomial p(x), where p(x) just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in, For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials
-3x + 5x -2 > 8x - 7 -9x
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x as the length of the pen
y as the width of the pen
The area is
xy = 2000
The perimeter is
P = 2(x+y)
From the area
y = 2000/x
Substituting
P = 2(x + 2000/x)
which is the equation used to find the least amount of fencing possible.
Final answer:
To get the minimum amount of fencing, the farmer should use the equation P = x + 2*(2000/x), representing the total fence length, where x is the length of the fence parallel to the river, and solve this to find the minimum.
Explanation:
The problem involves resolving a mathematical problem using functions in optimization. The farmer's goal is to minimize the fencing used which means minimizing the perimeter of the pen. Considering that one side of the pen will be a river, we are essentially looking for the dimensions of a rectangle (with one side along the river) which uses the least amount of fencing. Let's say the length of the fence parallel to the river is x, and the length of the fence perpendicular to the river is y.
Since area (A) is given by A = x*y, which must be 2,000 m2, we can rewrite y equation in terms of x as y = 2,000/x. The total fence length (perimeter, P) is calculated as P = x + 2y and substituting the new equation for y, we get P = x + 2*(2000/x), which is the function that the farmer needs to optimize in order to use the least amount of fencing.
Learn more about Optimization here:
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they should be 40
to kee p fractions the same multiply topo and bottom by same number
3/8 times 5/5=15/40
1/5 times 8/8=8/40
15/40+8/40=23/40
*You might beable to simplify it
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[2] => 25*24,500 + 20b + 15c = 1,052,000 => 20b + 15c = 1,027,500;
20b + 15*(24,500 - b) = 1,027,500 => 5b = 733,500 => b = 146,700 =>
c = - 122,200;
To the nearest square inch, what is the area of the figure?
309
118
64
49
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Answer:
309in²
Step-by-step explanation:
Area of an octagon is expressed as;
A=2(1+√2)a²
a is the side length of the octagon
Given
a = 8
Substitute into the formula
A = 2(1+√2)(8)²
A = 2(1+√2)(64)
Expand
A = 2(64+64√2)
A = 128+128√2
A = 128+128(1.414)
A = 128+181.01
A = 309in²
Hence the area of the octagon is 309in²