Answer:
the remaining mass of unobtanium -41 after a 5 seconds, 10 seconds, 15 seconds and 20 seconds is 24 gr, 12 gr , 5.33 gr and 3 gr respectively
Step-by-step explanation:
the equation that governs the remaining mass m of unobtanium -41 after a time t is
m=m₀*2^(-t/T) , where t is in seconds ,m₀ represents initial mass and T=half-life
Therefore
a) for t=5 s
m=48 gr*2^(-t/5 s) = 48 gr*2^(-5 s/5 s) = 48 gr/2 = 24 gr
b) for t=10 s
m=48 gr*2^(-t/5 s) = 48 gr*2^(-10 s/5 s) = 48 gr/4 = 12 gr
b) for t=15 s
m=48 gr*2^(-t/5 s) = 48 gr*2^(-15 s/5 s) = 48 gr/9 = 5.33 gr
b) for t=20 s
m=48 gr*2^(-t/5 s) = 48 gr*2^(-20 s/5 s) = 48 gr/16 = 3 gr
thus the remaining mass of unobtanium -41 after a 5 seconds, 10 seconds, 15 seconds and 20 seconds is 24 gr, 12 gr , 5.33 gr and 3 gr respectively
Answer: A) 15
Step-by-step explanation:
Because of Pythagorean Theorem, 9^2+12^2=BC^2. Thus, 81+144=BC^2. Thus, 225=BC^2. Thus, 15=BC.
Hope it helps, and ask if you want further clarification <3
Answer:
$ 99.60
Step-by-step explanation:
Thinking process:
According to financial data, the inflation rate in 1995 was at 2.5 %.
In 2016, the inflation rate was at 2.1 %
The difference was: 2.1 - 2.5 = -0.4 %
The price in 2016 = Original price - Adjusted price
Adjusted price = 
The new price will be 
The new price will be $ 99.60
Number of dog food packages bought by Byron is 300
Step-by-step explanation:
- Step 1: Given number of bird food packages = b. Find the number of packages for the other animal foods.
Number of hamster food packages = b.
Number of dog food packages = 4b
Number of cat food packages = 1/2 of 4b = 2b
Total food packages = 600
⇒ b + b + 4b + 2b = 600
⇒ 8b = 600
⇒ b = 600/8 = 75
- Step 2: Calculate the amount of dog food
∴ 4b = 4 × 75 = 300
Answer: £ 81.38
Step-by-step explanation:
Given: On Monday,
5 builders took 
hours ( i.e. 
hours ) to build a wall.
On Tuesday, only 2 builders were available.
As workers are inversely proportional to the time if the job remains constant.
Inverse variation equation : 
Let x be the time taken by 2 builders, then
So, 2 builders will take 8.75 hours.
Each paid £9.30 for each hour.
Then, each builder will be paid for the work completed on Tuesday = £9.30 x 8.75
≈ £ 81.38
Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .
