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aliya0001 [1]
3 years ago
9

Whats the answer for 6n+7-2n-14=5n-1​

Mathematics
2 answers:
12345 [234]3 years ago
6 0

Answer:

Simplifying

6n + 7 + -2n + -14 = 5n + 1

Reorder the terms:

7 + -14 + 6n + -2n = 5n + 1

Combine like terms: 7 + -14 = -7

-7 + 6n + -2n = 5n + 1

Combine like terms: 6n + -2n = 4n

-7 + 4n = 5n + 1

Reorder the terms:

-7 + 4n = 1 + 5n

Solving

-7 + 4n = 1 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.

-7 + 4n + -5n = 1 + 5n + -5n

Combine like terms: 4n + -5n = -1n

-7 + -1n = 1 + 5n + -5n

Combine like terms: 5n + -5n = 0

-7 + -1n = 1 + 0

-7 + -1n = 1

Add '7' to each side of the equation.

-7 + 7 + -1n = 1 + 7

Combine like terms: -7 + 7 = 0

0 + -1n = 1 + 7

-1n = 1 + 7

Combine like terms: 1 + 7 = 8

-1n = 8

Divide each side by '-1'.

n = -8

Simplifying

n = -8

Step-by-step explanation:

Sveta_85 [38]3 years ago
4 0

Answer:

if you're looking for n, the answer is n= -6

Step-by-step explanation:

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9. Determine how long it takes for 80% of the material to decay.
Vilka [71]

Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.

The amount of a substance after t days is modeled by:

A(t) = A(0)e^{-kt}

In which:

  • k is the decay rate, as a decimal.
  • A(0) is the initial amount.

The half-life is of 8 days, hence A(8) = 0.5A(0), and this is used to find k.

A(t) = A(0)e^{-kt}

0.5A(0) = A(0)e^{-8k}

e^{-8k} = 0.5

\ln{e^{-8k}} = \ln{0.5}

-8k = \ln{0.5}

k = -\frac{\ln{0.5}}{8}

k = 0.08664339757

Hence:

A(t) = A(0)e^{-0.08664339757t}

The time it takes for 80% of the material to decay it t for which A(t) = 0.2A(0), hence:

0.2A(0) = A(0)e^{-0.08664339757t}

e^{-0.08664339757t} = 0.2

\ln{e^{-0.08664339757t}} = \ln{0.2}

-0.08664339757t = \ln{0.2}

t = -\frac{\ln{0.2}}{0.08664339757}

t = 18.6

It takes 18.6 days for 80% of the material to decay.

To learn more about exponential functions, you can take a look at brainly.com/question/24906920

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