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kicyunya [14]
3 years ago
9

What is the domain of the function?

Formula1" title="y = \sqrt[3]{x - 1} " alt="y = \sqrt[3]{x - 1} " align="absmiddle" class="latex-formula">
​

Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Answer: The first option.

Step-by-step explanation:

This domain has no domain restrictions. Therefore, it covers all real numbers. x∈R

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A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5
liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

Q(t) = Q(0)e^{rt}

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that Q(5730) = 0.5Q(0)

So

Q(t) = Q(0)e^{rt}

0.5Q(0) = Q(0)e^{5730r}

e^{5730r} = 0.5

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

5730r = \ln{0.5}

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

r = -0.00012

So

Q(t) = Q(0)e^{-0.00012t}

How old is the fossil?

This is t for which

Q(t) = 0.8Q(0)

So

Q(t) = Q(0)e^{-0.00012t}

0.8Q(0) = Q(0)e^{-0.00012t}

e^{-0.00012t} = 0.8

\ln{e^{-0.00012t}} = \ln{0.8}

-0.00012t = \ln{0.8}

t = -\frac{\ln{0.8}}{-0.00012}

t = 1860

The fossil is 1860 years old.

4 0
3 years ago
Consider the expression 625(5xy)^-3/ (5x)^2 y^7
andre [41]
<span>625(5xy)^-3/ (5x)^2 y^7
     
             625 
= --------------------   /  25x^2y^7
      125 x^3y^3

= 5/x^3y^3    / </span>25x^2y^7
= 5/x^3y^3   *  (1/ 25x^2y^7)
= 1 / 5x^5y^10

answer


         1
-----------------
   5x^5y^10
3 0
3 years ago
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,465 was collected on the sale of 1,077 ticket
frez [133]
Assign x to adult tickets and y to student tickets, then set up the system
5x+y=2465 and
x+y=1077
You can subtract the second equation from the first to get
4x=1388
=> x=347
Then to find y do 1077-347 to find
y=730

Final answer:
347 adult tickets and 730 student tickets were sold.
Hope I helped :)
4 0
3 years ago
Read 2 more answers
I need some math help
Kobotan [32]
This is an answer should help you
8 0
3 years ago
Use the graph to answer the question.
dmitriy555 [2]

Answer:

B.

Step-by-step explanation:

hope it helps :)

3 0
3 years ago
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