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iogann1982 [59]
3 years ago
5

Differential Equations and Slope Fields

Mathematics
1 answer:
stiv31 [10]3 years ago
7 0

Answer:

9x2−x4+y(x2+9)2x(x2+9)2

Step-by-step explanation:

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Tap A fills a tank in 4hours while B fills the same tank in 3hours. Tap C empties this tank when full in 2hours. If the tank is
boyakko [2]

Answer:

<em>It will take 12 hours to fill the tank</em>

Step-by-step explanation:

Proportions

Tap A fills a tank in 4 hours. It means each hour it fills 1/4 of the tank.

Tap B fills the tank in 3 hours. Each hour it fills 1/3 of the tank.

Tap C empties the tank when full in 2 hours. Each hour it empties 1/2 of the tank.

Each hour, the tank gets filled by:

\displaystyle \frac{1}{4}+\frac{1}{3}-\frac{1}{2}=\displaystyle \frac{3}{12}+\frac{4}{12}-\frac{6}{12}=\frac{3+4-6}{12}=\frac{1}{12}

Since the tank fills 1/12 of its capacity in one hour, it follows that it will take 12 hours to fill the tank

6 0
3 years ago
Sally and her friend Lucie started saving money for their vacation on the same day. Sally started with $150 and plans to add $5
solniwko [45]

Answer:

Their savings will be same after 25 weeks.

Step-by-step explanation:

The difference in both person's saving is $ 2/week

$5-$3=$2

The total difference in the starting point is $50 if we divide $50 by $2 we will get a number of 25 which is the number of weeks it will take both savings to reach at a same level

Calculation:

Starting point $150

Savings $5/week

5*25+150= $275

Starting point: $200

Savings 3$/week

3*25+200= $275

5 0
4 years ago
Four times the sum of a number and 6 is equal to 2
olga55 [171]

Answer:

5.5

Step-by-step explanation:

The equation that models this problem is

4(x+6)=2 ->

4x+24=2 ->

4x=-22

x=5.5

3 0
3 years ago
A pool in the shape of a rectangle has a perimeter of 80feet. The pool is 8 feet less wide than it is long. Find the length and
Lyrx [107]

Answer:

The length and width of the pool = 24 ft and 16 ft

Step-by-step explanation:

Let length of pool be l and width of pool be w.

A pool in the shape of a rectangle has a perimeter of 80feet.

Perimeter of pool = 2 x ( l + w ) = 80 feet

That is

       l + w  = 40 ft -----------------------------------eqn 1.

The pool is 8 feet less wide than it is long.      

      l = 8 + w

       l - w  = 8 ft -----------------------------------eqn 2.      

eqn 1 + eqn 2

        2 l = 48

         l = 24 ft

Substituting

         24 + w = 40

         w = 16 ft

The length and width of the pool = 24 ft and 16 ft

5 0
4 years ago
Read 2 more answers
Does a triangle with these side lengths exist 3, 8, 9
wel

Answer:

No

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

8 0
3 years ago
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