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I am Lyosha [343]
4 years ago
12

The amount of water wasted from a leaking faucet is directly

Mathematics
1 answer:
photoshop1234 [79]4 years ago
6 0

Answer:

60 oz.

Step-by-step explanation:

The amount of water wasted by leaking is proportional to the time it leaks.

So, Volume (V) of wasted water ∝ Time (t)  

⇒ V = kt ...... (1) , where the constant is k (Called the proportionality constant).

Given 96 oz of water is wasted in 30 minutes.

Hence, from equation (1), we get, 96 = 30k, ⇒ k = 3.2.

So, the equation (1) becomes V = 3.2t ........ (2)

Now, putting t =5 mins, from equation (2), we get

V =3.2 ×5 =16 oz

Therefore, 16 oz of water is wasted in 5 minutes. (Answer)

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
I WILL GIVE THE BRAINLIEST
Hatshy [7]

Answer:

The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8

Step-by-step explanation:

Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.

18 - 10 = 8 dollars.

Now that we have the m and b values, we can create our equation.

The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.

4 0
3 years ago
The function h(t)=-4.92t^2+14.69t+575 is used to model an object being tossed from a tall building, where h(t) is the height in
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Given that equation modelling the height of the building is given by:
<span>h(t)=-4.92t^2+14.69t+575
plotting the equation (see the plot below)
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4 years ago
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The pressure at sea level is 11 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of
Liono4ka [1.6K]

Answer:

The function p(x) = 0.1x+1 ,   where  x is the depth in meters.

Step-by-step explanation:

As per the statement: The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases.

Then, we have the two points i,e (0, 1) and (23, 3.3).

An equation of the line is in the form of y=mx+b where m is the slope or rate of the line and b is the y-intercept.

Let x represents the depth in meters and p(x)= y represents the pressure in atmosphere.

Calculate slope of the line:

Slope of line(m) is given by:

m = \frac{y_2-y_1}{x_2-x_1}

Substitute the given point we have;

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y = 0.1x + b                           .....[1]

To solve for b;

Substitute the point (0, 1)  in [1];

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Our equation for this line become: y = 0.1x +1

Now, we write this for x as a function of p,

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