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Helga [31]
3 years ago
12

A bathtub is draining at a constant rate. After 2 minutes, it holds 30 gallons of water. Three minutes later, it holds 12 gallon

s of water. Write an equation that represents the number yy of gallons of water in the tub after xx minutes
Mathematics
1 answer:
statuscvo [17]3 years ago
6 0
-18 gals per minute 0 gals after 4 mins
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Plutonium-240 decays according to the function L where o
PIT_PIT [208]

Answer:

\boxed{\textbf{1700 yr}}

Step-by-step explanation:

-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt

Data:

L₀ = 24 g

L = 20 g

k = 0.000 11 yr⁻¹

Calculation:

\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}

8 0
3 years ago
6% of what number is 2.36
meriva

Answer:

39.3

Step-by-step explanation:

100 / 6 is about 16, 16.66667 to be exact:

2.36 * 16.66667 =  approx. 39.3

3 0
3 years ago
Please can you help me anything will help please
Bumek [7]

Answer: 1, 2, 4, or 5

Step-by-step explanation:

The relationship in #3 is a function because all the x values are distinct, that is, none are repeated. (Y values don't matter.)

A function will not repeat any x values so if your goal is for the relationship in #4 to NOT be a function, repeat one of the x values. Any one will work.

4 0
3 years ago
A circle has a diameter of 6 centimeters what is the approximate area of the circle​
KiRa [710]

Answer:

28.26 cm^{2}

Step-by-step explanation:

The radius is half of the diameter. 6/2 = 3, so the radius of this circle is 3 cm.

The formula for the area of a circle is: πr^{2}

Plugging 3 into the radius, we have:

3^{2} × π =

9 × π

We can round π to 3.14

9 × 3.14 = 28.26

7 0
3 years ago
76 people left before the movie ended 124 people remained how many people were in the theater when it was full 
andre [41]

Answer:

Step-by-step explanation:

124 + 76 = 200 ☺

8 0
3 years ago
Read 2 more answers
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