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×
36 divided by 2 is 18
That mean each basketball is $18
18 dollars multiplied by 3 basketballs is 54
Three basket balls cost $54
Answer:
(x−5)(x+3)
Step-by-step explanation:
To factorise, we firstly need two brackets, each containing an x.
(x)(x)
This creates the x2 term.
Now we need to get the rest of the terms. To do this, we need two factors of −15 which will add/subtract to give us +2
The two factors that do this are −3 and 5, as −3+5=2
∴(x−3)(x+5)
You can check by expanding it out.
T=5 hoped this helps I try
See attachment for the graph of the function f(x) = cos(x) - 3
<h3>How to graph the function?</h3>
The equation of the cosine function is given as:
f(x) = cos(x) - 3
The above function is a cosine function, and the parent function of the cosine function is
f(x) = cos(x)
This means that the function f(x) = cos(x) is translated 3 units down to get the function f(x) = cos(x) -3
Next, we plot the graph of the function f(x) = cos(x) - 3
See attachment for the graph of the function f(x) = cos(x) - 3
Read more about cosine functions at:
brainly.com/question/17075439
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