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Naya [18.7K]
2 years ago
13

A water tank has a square base with each side of length 4 meters. water enters through a hose at a constant rate of 20 liters pe

r minute. at the same time a valve in the bottom is opening, so that after t minutes, water leaves at a rate of t liters per minute. if the tank starts out filled to a depth of 5 meters, after how many minutes will the tank be empty?
Mathematics
1 answer:
levacccp [35]2 years ago
8 0
43.66 minutes

4^2*5+20*x-x^2/2=0
Or
Initial volume of water plus rate of water in minus rate of water out
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5 0
2 years ago
Consider the following expression -2m(m+n-4)+5(-2m+2n)+n(m+4n-5) which of the following is an equivalent expression
velikii [3]
The answer is:

-2m²+4n²-mn-2m+5n

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3 0
2 years ago
Se necesitan 4/7 de litro de pintura para pintar un metro cuadrado de pared, si queremos pintar 2/5 de metro cuadrado de pared,
Assoli18 [71]

Answer:

8/35 de litro

Step-by-step explanation:

De la pregunta, sabemos que se necesitan 4/7 de un litro para pintar un metro cuadrado de pared.

Ahora necesitamos saber la cantidad de pintura necesaria para pintar 2/5 de un metro cuadrado.

Digamos que la cantidad necesaria es x

Ahora hagamos una relación matemática;

4/7 pinturas 1 metro cuadrado

x pintará 2/5 metros

cuadrados por lo tanto, x * 1 = 4/7 * 2/5 = 8/35

6 0
2 years ago
Bill, George, and Ross, in order, roll a die. The first one to roll an even number wins and the game is ended. What is the proba
hram777 [196]

Answer:0.5714\frac{1}{15}

Step-by-step explanation:

Given that Bill, George, and Ross, in order, roll a die.

The first one to roll an even number wins and the game is ended.

Since Bill starts the game he can win by throwing even number or lose by throwing odd number

P(win) = 0.5, otherwise, the die will go to George.  For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.

Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely

To get back the dice once he loses probability

= p both throws odd = 0.5(0.5) = 0.25

Thus Prob for Bill winning

= 0.5+0.25(0.5)^2+0.25(0.5)^3(0.25)+...

This is an infinite geometric series with I term 0.5 and common ratio 0.125<1

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4 0
2 years ago
Cooper is measuring ingredients for his special dessert. He needs a total of 70.4 mL of milk and melted butter. The recipe calls
Pavlova-9 [17]

Answer:

Cooper needs 39.8 mL milk for his recipe

Step-by-step explanation:

Let B be the quantity of butter

and

m be the quantity of milk

<u>So according to given statement the whole mixture measures 70.4 mL while butter measures 30.6mL</u>

so,

B+m = 70.4

30.6 + m = 70.4

m = 70.4 - 30.6

m = 39.8 mL

Cooper needs 39.8 mL milk for his recipe ..

5 0
2 years ago
Read 2 more answers
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