Answer:
circumference=2xpixradius
Ex: for #1, the radius is 6.4, so, to find the circumference you will do this:
2 times 3.14159265359 times 6.4= circumference.
Step-by-step explanation:
I will get reported if I give all the answers so I tried to help by saying how you can find the circumference answers to the questions.
Answer:
48.983.
Step-by-step explanation:
(The parentheses are not balanced so I am assuming that there is a square parentheses at the end of the given expression).
Using order of operations (PEMDAS):
20.003 + [(30.1 + 5.75) - 6.87] Work out the inner parentheses first:
= 20.003 + [35.85 - 6.87] Now the outer parentheses:
= 20.003 + 28.98
= 48.983.
Answer:
The expression that represents the number of days until only 10% remains is T((d) 10 %) =100×
.
Step-by-step explanation:
The equation for half life is of the form
A = A₀×
.........................................................................(1)
Where
A = Final amount
A₀ = Initial amount
t = Time
h = Half life
For the equation T(d) = 100×2⁽⁻²⁾....................................(2)
We have by comparison with the equation for half life
2 ≡
and and the equation (2) can be written as
Percentage remaining after 2 half lives is
×100=100×
However if the half life of Technetium-99m is 6 hours then we have for one day
×100=100×
Therefore an expression that represents the number of days until only 10% remains is
×100=100×
= 10 %
=
= ㏑
= ㏑(
)
=
×㏑
= ㏑(
)
=
= 3.322
Therefore the expression for the number of days 10 % of Technetium-99m will be remaining is
T((d) 10 %) =100×
Answer: 19/12 pounds or 1.583 pounds
Step-by-step explanation:
Let a pound be represented by x. So x = 1 pound.
5/6 of a pound is the same as multiplying 5/6 × x. It becomes 5/6 × x = 5x/6
3/4 of a pound is the same as multiplying 3/4 × x. It becomes 3/4 × x = 3x/4
We want to look for 5/6 of a pound + 3/4 of a pound.
It becomes
5x/6 + 3x/4
Taking lowest common multiple(LCM) of 12, it becomes
= (2×5x + 3×3x) / 12
= (10x +9x)/12
= 19x /12
Substituting x = 1 pound,
It becomes 19/12 pounds
Expressing in decimal, 19/12 = 15.83
We can also solve from the beginning in terms of decimals
5/6 pounds = 0.833 pounds
3/4pounds = 0.75 pounds
5/6 pounds + 3/4 pounds = 0.833 + 0.75 = 1.583 pounds
52.22583 srry I couldn’t show work I was In a hurry to go somewhere