Answer:
Explanation:
The question is "Einstenium-253 is an element that loses about 2/3 of its mass every month. A sample of einstenium-253 has 450 grams. Write a function that gives the sample's mass in grams, S(t) from today".
Since <em>einstenium-253 loses about 2/3 of its mass every month</em>, you can model the amount of sample by an exponential decay function, which is a geometric progression with a growing factor less than 1.
The general form of an exponential decay function is:
Where:
- A₀ is the initial value
- r is the growing or decaying factor
- t is the time
- y is the value of the function at time t.
In this case, you have:
- A₀ = 450
- r = 2/3
- t = t
- y = S(t)
Now you can replace the values in the model and will obtain:
Answer:
9 hours
Step-by-step explanation:
If there's 4 people, they each need 1.5h So you multiply 1.5 by 6 and that's how you find how long it takes for 1 person.
Answer:
(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20
(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20
Step-by-step explanation:
There are two inequalities in mind, the first of the surface and the second of the price. Always bearing in mind that the minimum are 50 of A and 20 of B.
The first
A occupies 1/2 m and B occupies 1/2 m of surface, and the limit is 100 m of surface. Thus:
(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20
The second:
A costs 5,000 and B costs 30,000, and the limit is 1,500,000. Therefore:
(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20
Answer: Small box = $5
Large box = $14
Step-by-step explanation:
Let the cost of a small box be a
Let the cost of a large box be b
The scenario in the question can be modelled into an equation as:
3a + b = 29 ....... equation i
3a + 4b = 71 ....... equation ii
Subtract equation ii from equation I
-3b = -42
b = 42/3
b = 14
Cost of large box = $14
We put the value of b into equation I
3a + b = $29
3a + $14 = $29
3a = $29 - $14
3a = $15
a = $15/3
a = $5
Cost of small box = $5
