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Marysya12 [62]
3 years ago
12

A postulate is a conjecture that has been proved to be true.

Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0

Answer:

the answer is 5

Step-by-step explanation:

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The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial am
posledela

Step-by-step walkthrough:

a.

Well a standard half-life equation looks like this.

N = N_0 * (\frac{1}{2})^{t/p

N_0 is the starting amount of parent element.

N is the end amount of parent element

t is the time elapsed

p is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

N(t) = 74g * (\frac{1}{2})^{t/2.8days

b.

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2}  =  37g

c.

Now we just gotta do some algebra. Use the original function but this time, replace N(t) with 10g and solve algebraically.

10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}

Take the log of both sides.

log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})

Use the exponent rule for log laws that, log(b^x) = x*log(b)

log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})

\frac{log(\frac{5}{37})}{log(\frac{1}{2})}  = \frac{t}{2.8days}

2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})}  = t

slap that in your calculator and you get

t = 8.1 days

7 0
1 year ago
Write a proportion for 48 aintains for $24 then how many can you buy with $4?
V125BC [204]

Step-by-step explanation:

the answer is on the pic above

7 0
2 years ago
Lillian bought 2.52 pounds of tomatoes and 1.26 pounds of lettuce to make salad for 18 people. If each person got the same amoun
MrRa [10]
42 because--------------------------------------------------------------................................


7 0
3 years ago
Read 2 more answers
Mr roosevelt has 48 nails that each weigh 1.35 onnces what is the weight of these nails in onces
Harrizon [31]

Answer:

64.8

Step-by-step explanation:

maybe try multiplying the ounces by the number of nails

7 0
3 years ago
Help plz!
julia-pushkina [17]
She uses four pounds because 4/5 of five pounds is four.
4 0
3 years ago
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