Answer:
a
Step-by-step explanation:
3x tables
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Answer:
19.3 years
Step-by-step explanation:
Given that the initial mass of a sample of Element X is 100 grams,
The formula is given as:
N(t) = No × (1/2) ^t/t½
Element X is a radioactive isotope such that every 30 years, its mass decreases by half.
N(t) = Mass after time (t)
No = Initial mass = 100 grams
t½ = Half life = 30 grams
N(t) = 100 × (1/2) ^t/30
How long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?
This means we are to find the time
N(t) = 100 × (1/2) ^t/30
N(t) = 64 grams
64 = 100(1/2)^t/30
Divide both sides by 100
64/100 = 100(1/2)^t/30/100
0.64 = (1/2)^t/30
Take the Log of both sides
log 0.64 = log (1/2)^t/30
log 0.64 = t/30(1/2)
t = 19.315685693242 years
Approximately = 19.3 years
Answer:
y=2x+3
Step-by-step explanation:
Hi there!
We want to write the equation of the line
We are given that the y-intercept of the line is (0,3) and that the line also goes through the point (2,7)
There are many ways to write the equation of the line, but the most common way is slope-intercept form, which is given as y=mx+b, where m is the slope and b is the y intercept
The value of b is actually the value of y in the point making point of the y intercept
In this case, that point would be 3
So the value of b in this case is 3
Substitute 3 as b into the equation:
y=mx+3
Now we need to find m
As the equation passes through the point (2,7), we can use it to help solve for the value of m
Substitute 2 as x and 7 as y into the equation:
7=2m+3
Subtract 3 from both sides
4=2m
Divide both sides by 2
m=2
Substitute 2 as m into the equation:
y=2x+3
Hope this helps!
Take a look here if you wish to have a similar problem for practice (n.b., the solution uses a different method than the one shown here): brainly.com/question/7457022
Answer:
24
Step-by-step explanation:
The height of the rectangular prism is 4 units. Each layer is 6 units so 6 x 4 = 24.