Help Me Please!!

If Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes, then the tank will be filled with 4.8 gallons of water after 3 minutes.

As per the question statement, Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes.

We are required to calculate the volume of water in gallons, that will be filled in the above mentioned tank after 3 minutes.

Here, it is given that, the tank gets filled with 0.8 gallons of water in 0.5 minutes, and that, the water flows into the tank at a constant rate.

So first, let us calculate the water flow rate into the tank per minute, that is, [(0.8 * 2) = 1.6 gallons] per minute, since [(0.5 minutes * 2) = 1 minute]

Therefore, the tank will get filled with [(1.6 * 3) = 4.8 gallons] of water in 3 minutes, if the water inflow rate is 1.6 gallons per minute.

Gallons: A gallon (gal) is a measuring unit for volume and capacity, typically used by the U.S. customary and earlier by the British Imperial Systems of Measurement, with 1 US gallon being equal to 3.785411784 Litres, and 1 imperial gallon being equal to 4.54609 L.

To learn more about Gallons and Constant Flow Rates, click on the link below.

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4 0

1 year ago

Los lados de un triángulo rectángulo tienen por medida tres números enteros consecutivos. Calcula los lados del triángulo.

elixir [45]

Answer:

Los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

Step-by-step explanation:

Un triángulo rectángulo puede ser descrito mediante el teorema de Pitágoras, para el caso de tres lados representando tres números enteros consecutivos, tenemos que:

$(n+2)^{2} = n^{2} + (n+1)^{2}$ (1)

Donde $n$ es un número natural.

A continuación, expandimos la expresión y resolvemos:

$n^{2}+4\cdot n +4 = n^{2} + n^{2} +2\cdot n + 1$

$n^{2}-2\cdot n -3 = 0$

$(n -3) \cdot (n+1) = 0$

La única solución factible es $n = 3$ . En consecuencia, los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

4 0

3 years ago

The height h (in feet) above the water of a cliff diver is modeled by h=-16t^2+8t+80, where t is the time (in seconds). How long

Misha Larkins [42]

If this is algebra, then you will be using a parabola to solve this problem:
t=-b/2a
t=-8/2(-16) = 8/-32 = -1/4
t=-1/4=-0.25
h=-16(0.0625)+8(-0.25)+80
h=1-2+80
h=79
(-0.25,79)
then plug this ordered pair above and draw a line directly down the middle of it to use as a "mirror" and plug 2 different numbers(preferably 0 and 1) into the variable t to find the other two points and then reflect the two points over the "mirror" to get the last two points to graph your paprabola

8 0

3 years ago