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iVinArrow [24]
3 years ago
14

A faucet leaks water at a constant rate. Tara places a measuring cup under the leak to catch the water. The table shows the numb

er of milliliters of water in the cup at different times. I will mark brainliest!

Mathematics
2 answers:
Zepler [3.9K]3 years ago
8 0

Answer:

r=4

f(t)=4t

48 mililiters.

Step-by-step explanation:

We can find the rate of change using the given table.

The formula of the rate of change is

r=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Where we are gonna use points (3.5, 14) and (4.5, 18). Replacing these coordinates we have

r=\frac{18-14}{4.5-3.5} =\frac{4}{1} =4

Therefore, the average rate of change is 4 mililiters per hour.

Now, to find the function, we need to use the rate, a pair and the point-slope formula

y-y_{1} =m(x-x_{1} )\\y-14=4(x-3.5)\\y=4x-14+14\\y=4x

Therefore, the function which models this table, using the proper variables, is

f(t)=4t

At last, we need to find the amount of water leaked after 12 hours.

f(12)=4(12)=48

Therefore, after 12 hours it leaks 48 mililiters of water.

fiasKO [112]3 years ago
6 0

Answer:

a) 4 ml.hr⁻¹

b) f(t) = 4t

c) 48 ml

Step-by-step explanation:

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6 0
3 years ago
Of the thirty girls who tried out for the lacrosse team only 12 got in
mariarad [96]
I subtracted 30 from 12 and i got 18 for my final answer <span />
5 0
3 years ago
Find h(2/3) if h(x) = 6x <br><br> 2 4 6 8
arlik [135]
H(x) = 6x     

it gives you what x is so plug that in the equation to find it.

h(2/3) = 6(2/3)
h(2/3) = 6 × 2 ÷ 3
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7 0
3 years ago
HELPPPP please
Nady [450]

Answer:

m = 7

Step-by-step explanation:

2m + -4 = 10

Reorder the terms:

-4 + 2m = 10

Solving

-4 + 2m = 10

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 2m = 10 + 4

Combine like terms: -4 + 4 = 0

0 + 2m = 10 + 4

2m = 10 + 4

Combine like terms: 10 + 4 = 14

2m = 14

Divide each side by '2'.

m = 7

Simplifying

m = 7

7 0
3 years ago
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