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kolezko [41]
3 years ago
10

The sum of two rational numbers is______

Mathematics
2 answers:
Andrews [41]3 years ago
7 0

Answer:

Another rational number

zmey [24]3 years ago
5 0
The sum of two rational numbers is *always* rational.
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Factor out coefficient 4n-3
vodomira [7]
4n-3 = \boxed {4 (n- \frac{3}{4} )}
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element X is a radioactive isotope such that every 21 years, its mass decreases by half. Given that the initial mass of a sample
pashok25 [27]

Answer:

The percentage rate of decay per year is of 3.25%.

The function showing the mass of the sample remaining after t is A(t) = 80(0.9675)^t

Step-by-step explanation:

Equation for decay of substance:

The equation that models the amount of a decaying substance after t years is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Every 21 years, its mass decreases by half.

This means that A(21) = 0.5A(0). We use this to find r, the percentage rate of decay per year.

A(t) = A(0)(1-r)^t

0.5A(0) = A(0)(1-r)^{21}

(1-r)^{21} = 0.5

\sqrt[21]{(1-r)^{21}} = \sqrt[21]{0.5}

1 - r = 0.5^{\frac{1}{21}}

1 - r = 0.9675

r = 1 - 0.9675 = 0.0325

The percentage rate of decay per year is of 3.25%.

Given that the initial mass of a sample of Element X is 80 grams.

This means that A(0) = 80

The equation is:

A(t) = A(0)(1-r)^t

A(t) = 80(1-0.0325)^t

A(t) = 80(0.9675)^t

The function showing the mass of the sample remaining after t is A(t) = 80(0.9675)^t

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3 years ago
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Answer:

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Step-by-step explanation:

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Can someone please help ASAP!! <br><br> Pleaseee I’ll give brainliest!!!
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Answer:

all real numbers

Step-by-step explanation:

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