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Nataliya [291]
2 years ago
8

What is the product of (5 m superscript negative 2 baseline) (2 m superscript negative 3 baseline)?

Mathematics
1 answer:
Vika [28.1K]2 years ago
8 0

Answer:

A

Step-by-step explanation:

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A water tank has two valves, one for inlet pipe and the other is outlet pipe. If the tank is empty the inlet valve is
tekilochka [14]

Let <em>V</em> be the volume of the tank. The inlet pipe fills the tank at a rate of

<em>V</em> / (5 hours) = 0.2<em>V</em> / hour

and the outlet pipe drains it at a rate of

<em>V</em> / (8 hours) = 0.125<em>V</em> / hour

With both valves open, the net rate of water entering the tank is

(0.2<em>V</em> - 0.125<em>V </em>) / hour = 0.075<em>V</em> / hour

If <em>t</em> is the time it takes for the tank to be full, then

(0.075<em>V</em> ) / hour • <em>t</em> = <em>V</em>

Solve for <em>t</em> :

<em>t</em> = <em>V</em> / ((0.075<em>V</em> ) / hour)

<em>t</em> = 1/0.075 hour

<em>t</em> ≈ 13.333 hours

8 0
2 years ago
triangles and are isosceles. angle has a measure of 84 degrees and angle has a measure of 24 degrees. find the measure of angle
dexar [7]
18……………………………………………..
5 0
1 year ago
If 3/10 = 30/100, then 4/10 = ___/100
ICE Princess25 [194]

Answer:

40/100

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find three consecutive even integers such that the sum of the squares of the first two is four less than twice the square of the
velikii [3]

Answer:

the three consecutive even integers are -2, 0, 2

Step-by-step explanation:

Let the first even integer = n

Let the second even integer = n + 2

Let the third even integer = n + 4

From the given statement, we form the equation below

(n²) + (n + 2)²  + 4 = 2(n + 4)²

Expand this equation;

n² + (n + 2)(n + 2) +  4 = 2(n + 4)(n + 4)

n² + n² + 2n + 2n +  4 +  4 = 2(n² + 4n + 4n + 16)

2n² + 4n + 8 = 2(n² + 8n + 16)

2n² + 4n  + 8 = 2n² + 16n + 32

collect like terms together;

2n² - 2n² + 4n - 16n = 32 - 8

- 12n = 24

-n = 24/12

-n = 2

n = -2

Second integer = n + 2

                          = -2 + 2 = 0

Third integer = n + 4

                      = -2 + 4

                      = 2

Therefore, the three consecutive even integers are -2, 0, 2

6 0
3 years ago
The recipe for mint chocolate ice cream requires 11/4 cups of cream for 5 people. You need ice cream for 8 people. How much crea
ivanzaharov [21]

4.4 cups of mint Ice cream. To find this, simply divide 11/4 by 5, and multiply that quantity by 8.

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3 years ago
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