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bezimeni [28]
3 years ago
15

The absolute value of a negative integer

Mathematics
1 answer:
mezya [45]3 years ago
5 0
The absolute value of a negative integer is the positive number of the same integer. I hope that made sense.
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Mountain View Middle School students work on square desktops. The area of the square desk surface is 4 square feet. What is the
ahrayia [7]

Answer:

2 Feet

Step-by-step explanation:

The area is found by multiplying length by width. Since its a square the length and width are the same and it would have to be 2.

8 0
3 years ago
Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 4y sqrt (x) , (4, 5) max
liubo4ka [24]

Answer:

Remember that the maximum rate of change of f at a point u is the length of the of the gradient vector evaluate in u, and the direction in which it occurs is in direction of the gradient vector evaluate in u.

The gradient vector of f is

\triangledown f(x,y)=(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y})=(2yx^{-\frac{1}{2}}, 4\sqrt x)

Then, the maximum rate of change is|\triangledown f(4,5)|=|(2*5*4^{-\frac{1}{2}}, 4\sqrt 4)|=|(5,8)|=\sqrt{5^2+8^2}=\sqrt89 in the direction of (5,8).

4 0
3 years ago
Is 60.43 an irrational number
zhuklara [117]

Answer:

No, It is rational

Step-by-step explanation:

An number with a finite number of decimal point/numbers can be rational unlike numbers that repeat on forever like the number pi

4 0
2 years ago
A theater seats 2,816 people. The first row has 26 seats while the last row has 150 seats. Assuming the number of seats per row
wolverine [178]

Answer:

The theater has 32 rows

Step-by-step explanation:

The rule of the sum of n terms of an arithmetic sequence is S_{n} = \frac{n}{2} (a + l), where

  • a is the first term
  • l is the last term
  • n is the number of the terms

∵ The number of seats per row follows an arithmetic sequence

∵ The first row has 26 seats

∴ a = 26

∵ The last row has 150 seats

∴ l = 150

∵ The theater seats are 2,816

∴ S_{n} = 2,816

→ Substitute these values in the rule of the sum above to find n

∵ 2,816 = \frac{n}{2}(26 + 150)

∴ 2,816 = \frac{n}{2}(176)

∴ 2,816 = 88n

→ Divide both sides by 88

∴ 32 = n

∵ n represents the number of the rows

∴ The theater has 32 rows

3 0
3 years ago
The product of two consecutive positive integers is 29 more than their sum. Find the integers
Rina8888 [55]
The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5    then: (x+1)=-5+1=-4  This is not the solution.
x₂=(1+11)/2=6    then: (x+1)=6+1=7    This solution is right.

Answer: the numbers would be 6 and 7. 
7 0
3 years ago
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