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Evgesh-ka [11]
3 years ago
5

Find the missing exponent. Set up an equation and solve. : x^4·x^n = x^5

Mathematics
2 answers:
nirvana33 [79]3 years ago
6 0
When a polynomial is composed of product or quotient of terms, the terms with similar bases have exponents equal to the sum or difference of the exponents. in this case,  <span>x^4·x^n = x^5. since all have similar bases, n should be 1 since 4 + 1 = 5</span>
algol [13]3 years ago
5 0
Remember
(x^m)(x^n)=x^(m+n)
and
if a^m=a^n, where a=a then n=m


(x^4)(x^n)=x^5
(x^4)(x^n)=x^(4+n)
x^(4+n)=x^5
therefor
4+n=5
minus 4
n=1
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2 years ago
Evaluate each expression if a=-1, b=4,x=-2 and y=3<br><br> 2(6a-2b)-8x
Andreyy89

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-12

Step-by-step explanation:

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4 0
3 years ago
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
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