Answer:
Because if you multiply fractions you get a smaller number! for instance: (1/2)*(1/2)=(1/4) so you get a much smaller value. you merely multiply across so the denominator gets smaller.
DeMoivre's theorem says
(2 (cos(12°) + <em>i</em> sin(12°)))⁵ = 2⁵ (cos(5×12°) + <em>i</em> sin(5×12°))
… = 32 (cos(60°) + <em>i</em> sin(60°))
… = 32 (1/2 + √3/2 <em>i</em> )
… = 16 + 16√3 <em>i</em>
Answer:
(X-6)(3x^2+5)
Step-by-step explanation:
Answer:
Instructions are below.
Step-by-step explanation:
<u>To calculate the final amount if a given substance, we need to use the following formula:</u>
final amount= initial amount / (2^n)
n= elapsed time / half-life
For 20 years:
n= 20/10= 2
Final amount= 200/(2^2)
Final amount= 50 grams
For 60 years:
n= 60/10= 6
Final amount= 200/ (2^6)
Final amount= 3.125 grams
<u>To calculate the elapsed time it is more complicated:</u>
elapsed time= ln(ending amount/beginning amount) / (-decay constant)
ln= natural logarithm
decay constant= ln(2) / half-life
decay constant= 0.0693
elapsed time= ln(1.03/200) / (-0.0693)
elapsed time= 76.028
Prove:
n= 76.02/10= 7.602
Final amount= 200/(2^7.602)= 1.03 grams
