Answer:0.75 milligrams will be present in 24 hours
Step-by-step explanation:
Step 1
The formula for radioactive decay can be written as
N(t)=No (1/2)^(t/t 1/2)
where
No= The amount of the radioactive substance at time=0=milligrams
t 1/2= the half-life= 6 hours
t=24 hours
N(t) = the amount at time t
Step 2--- Solving
N(t)=No (1/2)^(t/t 1/2)
=N(t)=12 x ( 1/2) ^ (24/6)
= 12 x (1/2) ^4
= 12 x 0.0625
= 0.75 milligrams
A.
<span>GCF(10; 2) = 2 /</span>factors of 10: 1, 2, 5, 10; factors of 2: 1, 2/
B.
GCF(4; 6) = 2 /factors of 4: 1, 2, 4; factors of 6: 1, <span>2, 3, 6/</span>
C.
GCF(6; 12) = 6 /factors of 6: 1, 2, 3, 6; factors of 12: 1, <span>2, 3, 4, 6, 12/</span>
D.
GCF(2; 24) = 2 <span>/factors of 2: 1, 2; factors of 24: 1, <span>2, 3, 4, 6, 8, 12, 24/</span>
</span>Answer: A, B and D.
Answer:
Part 1)
------> 
Part 2)
------> 
Part 3)
------> 
Part 4)
------> 
Step-by-step explanation:
we know that
The largest cross sectional area of that sphere is equal to the area of a circle with the same radius of the sphere
Part 1) we have

The area of the circle is equal to

so

Solve for r


Find the volume of the sphere
The volume of the sphere is

For 
substitute


Part 2) we have

The area of the circle is equal to

so

Solve for r


Find the volume of the sphere
The volume of the sphere is

For 
substitute


Part 3) we have

The area of the circle is equal to

so

Solve for r


Find the volume of the sphere
The volume of the sphere is

For 
substitute


Part 4) we have

The area of the circle is equal to

so

Solve for r


Find the volume of the sphere
The volume of the sphere is

For 
substitute


Answer:
No (1,5) is not a solution
Step-by-step explanation:
if you try to solve this equation with the (1,5), you lay it out like 5 = 1/4 * 1 - 7. It turns into 5 = 1/4 - 7, because 1 times anything is that same number. Then you have to add 7 to both sides so that it cancels out on the right and you get 12 on the left. So you end up with the equation 12 = 1/4. This equation is not true, so therefore (1,5) is not a solution. Hope this helps :)
Answer: -5x
Step-by-step explanation: combine like terms hope this helps!