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ANTONII [103]
2 years ago
12

A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it

in 7 hours. How long will it take to fill the vat if both pipes are left open
Mathematics
1 answer:
SashulF [63]2 years ago
6 0

Answer:

  5 1/4 hours

Step-by-step explanation:

The rate of filling is 1/3 vats per hour. The rate of emptying is 1/7 vats per hour, so the net rate of filling is ...

  (1/3) -(1/7) = 4/21 . . . . vats per hour

Then for filling one vat, it will take an amount of time that is the inverse of this:

  21/4 = 5 1/4 . . . hours per vat

If both pipes are left open, the vat will fill in 5 1/4 hours.

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Factor completely x^8 − 625.
Gala2k [10]

Answer:(X^2-5)(x^2+5)(x^4+25)

Step-by-step explanation:

3 0
3 years ago
If LR = 12 and PR = 4, find LP. Explain.
Softa [21]
<h2>Answer:</h2>

LP = 8 because LR + PR = LP according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution

<h2>Step-by-step explanation:</h2>

From this problem, we know that:

LR = 12

PR = 4

So here we have a Line segment. Recall that a line segment has two endpoints, places where they end or stop and they are named after their endpoints, so the line segment here is LR whose measure is 12. Then, according to Segment Addition Postulate it is true that:

LP + PR = LR

By substituting LR = 12 and PR = 4, we have:

LP + 4 = 12

Subtracting 4 from both sides:

LP + 4 - 4 = 12 - 4

LP + 0 = 8

Finally:

LP = 8

7 0
3 years ago
Read 2 more answers
Given: F(x) = 2x2+ 1, G(x) = 2x - 1, H(x) = x F(3) + G(4) - 2H(5) = 16 26 34
Roman55 [17]

Answer:

  16

Step-by-step explanation:

Put the numbers where the variables are and evaluate:

  F(3) = 2(3)^2 +1 = 19

  G(4) = 2(4) -1 = 7

  H(5) = 5

Then the desired sum is ...

  F(3) +G(4) -2H(5) = 19 +7 -2(5) = 16

3 0
3 years ago
I need help in "Matlab' with how to "Create a column vector from 15 to -25 with a step size of 5"
Alekssandra [29.7K]

Answer:

x=[15:-5:-25]'

Step-by-step explanation:

In order to create a vector you need to use this command:

x = [j:i:k]'

This creates a regularly-spaced vector x using i as the increment between elements. j is the initial value and k is the final value. Besides you need to add the character ' at the end in order to convert the arrow vector in a column vector

5 0
3 years ago
1.) 44247<br> 44a4b<br> 11a2b
choli [55]

Answer:

what?

Step-by-step explanation:

7 0
2 years ago
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