Answer:
The vector equation of the line is
l(t)= "-3,3,-5" + t "-2,-4,-4", where t is a parameter.
The bones at the time they were discovered when the radioactive element carbon-14 has a half-life of total 5750 years are 10062.5-year-old.
<h3>What is half-lives?</h3>
Half lives is the time interval which is need to decay the atomic nuclei of a radioactive sample.
There is a scientist who determined that the bones from a mastodon had lost 70.3% of their carbon-14. Thus, the fraction remaining is,
f=1-(70.3/100)=1-0.703
f=1-(70.3/100)=0.297
Now the fraction remaining can be given as,
f=(1/2)ⁿ
Here, n is the half life elapsed. Put the value of fraction remaining.
0.297=(1/2)ⁿ
n=1.75
The radioactive element carbon-14 has a half-life of total 5750 years. Thus,
Years=1.75*5750
Years=10062.5
Thus, the bones at the time they were discovered when the radioactive element carbon-14 has a half-life of total 5750 years are 10062.5-year-old.
Learn more about the half lives here;
brainly.com/question/2320811
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Answer:
Friday's game generates $1,664 while Sunday's, game generates $1,768 for a total of $3432.00.
Step-by-step explanation:
First, identify what you know:
1) A baseball team has home games on Friday and Sunday
2) Both games, combined, earned $3432.00
3) Friday's game generated $104.00 less than Sunday's game.
We can create a formula to solve our problem!
$3,432 = x + (x - 104)
$3,432 + 104 = x + x
$3,536 = 2x
$3,536/2 = x
x = $1,768
Sunday's game earned $1,768! If Friday's game earned $104 less, then simply subtract that from Sunday's earning!
$1,768 - $104 = $1,664
Friday's game cost $1,664, and Sunday's game earned $1,768!
Hope this helps! :)
Answer:
10 billion
Step-by-step explanation:
