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
Multiply the two values together:
11.25 * 12.5 = 140.625 inches.
Answer is NO, it does not double.
Step by step.
Equation for surface area (SA) = 2lw+2lh+2wh
If we double the length and width, making them each 2l and 2w, we then have:
2(2l x 2w) + 2(2l x h) + 2(2w x h)
= 2(4lw) + 4lh + 4wh
SA = 8lw + 4lh + 4wh
If the surface area had been doubled, we should get the equation (4lw + 4lh + 4wh) for a doubled surface area.
So no, it is not doubled.
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Answer:
32%
Step-by-step explanation:
Percent means out of 100 so we need the denominator to be 100
8/25 * 4/4 = 32/100
The percent is the numerator since it is now out of 100
32%
