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Lunna [17]
3 years ago
9

Combine the like terms X + x + y + y - y + x -2 =

Mathematics
1 answer:
neonofarm [45]3 years ago
7 0
The answer is >>>> 3x + y - 2
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What are the coordinates of point P?
Nadusha1986 [10]

Answer:

(-4,3)

Step-by-step explanation:

hope this helps :)

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3 years ago
A chemical refinery needs a vat. They want the vat to be a rectangular prism (with square bases) that has a maximum volume of 1,
Alex17521 [72]

Answer:

For least material to be used lengths of square base and sides = 10 units.

Step-by-step explanation:

Let the lengths of the square base and the sides = x feet, x feet and y feet

Area of the square base = x² feet

Volume of the rectangular prism = Area of the square base × Height

                                                      = x²y cubic feet

1000 = x²y

y = \frac{1000}{x^2} -------(1)

Material used in the prism = Surface area of the rectangular prism

                                            = 2(lb + bh + hl)

Here, h =  height of the prism

l = length of the base

w = Width of the base

Material to be used (S) = 2(xy + x² + xy) - Area of lid

                                  S = 2(x² + 2xy) - x²

                                  S = x² + 2xy

Now by substituting the value of y from equation (1),

S = x² + 2x(\frac{1000}{x^{2} })

  = x² + \frac{2000}{x}

For least amount of material used,

We will find the derivative of the given function and equate it to zero.

S' = 2x - \frac{2000}{x^{2} }

2x - \frac{2000}{x^{2} } = 0

2x³ = 2000

x³ = 1000

x = 10 feet

From equation (1),

y = \frac{1000}{(10)^2}

y = 10 feet

Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.

7 0
3 years ago
A tire shop filled 3.5 tires with air. It took 3 3/5 seconds to fill them. How long would it take to fill 10 tires?
SOVA2 [1]
It would take approximately 10.286 seconds to fill 10 tires
3 0
3 years ago
What number is 15% of 200?
scoundrel [369]

Answer:

30

Step-by-step explanation:

15% of 200 = 30

4 0
3 years ago
Read 2 more answers
Whats the m.a.d. of 0, 3, 6, 9, 11, 13, 14? n=7
KatRina [158]

Answer:

4 2/7

Step-by-step explanation:

It is convenient to let a spreadsheet or graphing calculator do the tedious math for you. (See the attachment.)

_____

The sum of the numbers is 56, so their average is 56/7 = 8. Then the absolute deviations from average are ...

... 8, 5, 2, 1, 3, 5, 6

and the total of these is 30. The mean absolute deviation is this sum divided by the number of numbers, 7, so is ...

... 30/7 = 4 2/7

_____

<em>More about Absolute Deviation from Average</em>

"Absolute" here refers to the absolute value function, which drops the sign of a negative number. The absolute deviation of the data value 0 is ...

... |0 - 8| = |-8| = 8

For 3, it is ...

... |3 - 8| = |-5| = 5

4 0
3 years ago
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