Answer:
It will take 50 years to decay from 512 grams to 121.5 grams.
Step-by-step explanation:
The decay formula :

where
N= amount of substance after t time
N₀= initial of substance
t= time.
A substance decays at a rate 25% every 10 years.
So, remaining amount of the substance is = (100%-25%)= 75%
, t= 10



Taking ln both sides



Now , N₀= 512 grams, N= 121.5 grams, t=?




Taking ln both sides




⇒t=50 years
It will take 50 years to decay from 512 grams to 121.5 grams.
Answer:
A) -3
Step-by-step explanation:
If you move down three times and once to the right, you get the next point.
Slope = rise/run
It rises -3 units and run 1. So -3/1 which can be simplified to just -3
<em>Hope this helped and plz mark as brainliest!</em>
<em></em>
<em>Luna G.</em>
Answer:
a. 8/24 or 1/3 a day
b. 45/60 or 3/4 a hour
c. 1/7 of a week
d. 4/12 or 1/3 a year
Step-by-step explanation:
Simply divide by the conversion you want to set.
60 seconds is 1 hour
24 hours is 1 day
7 days is 1 week
3-4 weeks per month (depending on the month and year)
12 months a year
Answer: -54
Step-by-step explanation:
The question is the first term of a geometric sequence is −2 and the common ratio is 3. The formula for finding the nth term of a geometric sequence is: ar^n-1
where,
a = first term = -2
r = common ratio = 3
n = number of terms = 4
The solution has been attached. The answer is -54
Answer:
12 sides
Step-by-step explanation:
To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;
first write down the formula for finding sum of the interior angle of a polygon
s= (n-2)180
where s is the sum of the interior angle and n is the number of side
from the question given, sum of the interior angle s=1800 degrees
substitute s=1800 degree into the formula and solve for n
s= (n-2)180
1800 = (n-2)180
divide both-side of the equation by 180
1800/180 = n-2
10 = n - 2
add 2 to both-side of the equation
10 + 2 = n
12 = n
n= 12
The polygon have 12 sides