Answer:
2/3 >=x
Step-by-step explanation:
8 =< -3x + 10
subtract 10 from each side
8-10 <= -3x+10-10
-2 <=-3x
divide by -3 (remember to flip the inequality)
-2/-3 >= -3x/-3
2/3 >=x
Answer:1+3x+9+x+8+2x= 6x+9
so =3(x+3)
Step-by-step explanation:
Answer:
a =3
b = -5
c = 4
Step-by-step explanation:
3x^2+4=5x
Subtract 5x from each side
3x^2-5x+4=5x-5x
3x^2-5x+4=0
The equation is in the form
ax^2 +bx+c =0
a =3
b = -5
c = 4
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;
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0.09/10=0.009
we check it: 0.009*10=0.09, so it's right
