Answer:
y=-3x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-7)/(4-(-1))
m=-15/(4+1)
m=-15/5
m=-3
y-y1=m(x-x1)
y-7=-3(x-(-1))
y-7=-3(x+1)
y=-3x-3+7
y=-3x+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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3(b+6) = 3*b + 3*6 = 3b + 18
Answer:
<u>I'll give the choices by the number below:</u>
- 1. 45 miles. Taken from the table at day 0.
- 2. 39 miles. Given for Miguel.
- 3. Jose's. His goal has a greater value 45 > 39.
- 4. 5 miles a day. Change per day as per table.
- 5. 6.5 miles a day. Given.
- 6. Miguel's. Comparing 6.5 > 5
Answer:
<em>AB = 7.35 cm</em>
Step-by-step explanation:
From the attachment,
In ΔDEF,
DF = GH-(GD+FH) = 6 - (2+3) = 1 cm
DE = 2+3 = 5 cm (sum of two radius)
Applying Pythagoras theorem,
In ΔCDI,
DI = GH-(GD+IH) = 6 - (2+1.5) = 2.5 cm
CD = 2+1.5 = 3.5 cm (sum of two radius)
Applying Pythagoras theorem,
AB = EF + CI = 
