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Nikitich [7]
3 years ago
9

Solve for x. x = ln 1 x =

Mathematics
1 answer:
VikaD [51]3 years ago
3 0
x=\ln 1\\
x=0
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Solving for an Unknown Using the Distributive Property
ArbitrLikvidat [17]

<em><u>Complete Question:</u></em>

The equation a= 180(n-2)/n represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?

<em><u>Answer:</u></em>

The numerator of fraction is -360

<em><u>Solution:</u></em>

Given that,

<em><u>The equation represents the angle measures, a, in a regular n-sided polygon is:</u></em>

a = \frac{180(n - 2)}{n}

We have to solve the equation for "n"

Rearrange the equation

a \times n = 180(n - 2)\\\\a \times n = 180n - 360\\\\an - 180 n = -360\\\\Take\ n\ as\ common\ factor\\\\n(a-180) = -360\\\\n = \frac{-360}{a - 180}

Thus the numerator of the fraction is -360

4 0
2 years ago
What is a rational number?
jonny [76]
A rational number is: A number that can be written as a quotient of 2 integers, where the divisor is not 0.

Example: 2/5 , -6, 

Because you can write any integer as a quotient with a denominator of 1, all integers are rational numbers, 

Example: 5 = 5/1

~Aamira~

Hope this helped☺☺
8 0
3 years ago
Read 2 more answers
10. A perfect circle measuring 38 feet across was discovered on Brickell Avenue in Miami in 1998. Known as the Miami Circle at B
vivado [14]

Using an exponential function, it is found that the Tequesta settlement is 1845 years old.

<h3>What is an exponential function?</h3>

The exponential equation for a decaying amount of a substance is given by:

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

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.

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

0.5A(0) = A(0)e^{-5730r}

e^{-5730r} = 0.5

\ln{e^{-5730r}} = \ln{0.5}

5730r = -\ln{0.5}

r = -\frac{\ln{0.5}}{5730}

r = 0.00012096809

Hence, the equation is:

A(t) = A(0)e^{-0.00012096809t}

The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).

A(t) = A(0)e^{-0.00012096809t}

0.8A(0) = A(0)e^{-0.00012096809t}

e^{-0.00012096809t} = 0.8

\ln{e^{-0.00012096809t}} = \ln{0.8}

-0.00012096809t = \ln{0.8}

t = -\frac{\ln{0.8}}{0.00012096809}

t = 1845

The Tequesta settlement is 1845 years old.

You can learn more about exponential functions at brainly.com/question/25537936

8 0
2 years ago
What explicit formula matches the arithmetic sequence -2, 1, 4, 7, 10, ...?
Ray Of Light [21]
a_1=-2\\&#10;d=3\\&#10;a_n=a_1+(n-1)d=-2+(n-1)\cdot3=-2+3n-3=3n-5
5 0
3 years ago
Use the commutative property of multiplication to write a related number sentence
Feliz [49]
12 rows of 2 also model a product of 24; 2 × 12 = 24; 12 × 2 = 24. Use<span> Two-Color Counters to build each model. </span>Write number sentences<span> that show the </span>Commutative Property of Multiplication<span>. </span>Using<span> Two-Color Counters, model the </span>Commutative Property of Multiplication<span> for each pair of factors.</span>
7 0
3 years ago
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