Answer:
4
Step-by-step explanation:
set
constrain:
Partial derivatives:
Lagrange multiplier:
4 equations:
By solving:
Second mathod:
Solve for x^2+y^2 = 7, x^3+y^3=10 first:
The maximum is 4
All we need to do is 2400/700 = 3.43 (rounded) square ft. per person
Answer:
Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.
As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.
Therefore, -28 is greater than -162.
Step-by-step explanation:
To determine:
Is -28 greater than or less than -162?
Solution Steps:
- In mathematics, a number line is considered to be a straight line with numbers placed at equal intervals along its length.
- A number line could be extended infinitely in any direction i..e -∞ to +∞.
- A number is usually represented horizontally.
Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.
As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.
Therefore, -28 is greater than -162.
In other words,
Keywords: number line, less than, greater than
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Answer:
78
Step-by-step explanation:
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Answer:
My sister will swing the total distance = 40 feet
Step-by-step explanation:
On the first swing my sister travels a distance of 8 feet.
In every successive swing she travels 80% of the distance of the previous distance.
So the sequence formed by the distance traveled in every swing will be a geometric sequence.
First term of the sequence 'a' = 8 feet
common ratio 'r' = 0.80
Since this sequence is an infinite geometric sequence,
Sum of this sequence = [Since r < 1]
=
=
= 40 feet
Therefore, my sister will cover the total distance = 40 feet