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Ahat [919]
3 years ago
11

Suppose an unknown radioactive substance produces 12800 counts per minute on a Geiger counter at a certain time, and only 800 co

unts per minute 10 days later. Assuming that the amount of radioactive substance is proportional to the number of counts per minute, determine the half-life of the radioactive substance.
Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer:

2.5 days.

Step-by-step explanation:

The number of half lives  is n where

12800(0.5)^n = 800

12800(0.5)^4 = 800

so n = 4

So the half life is 10/4

= 2.5 days.

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Use a calculator to find an approximate solution to the equation. Round any intermediate work and steps to three decimal places.
Mariana [72]
Given;
6Ln (x + 2.8) = 9.6 

We will transpose 6 in the Ln, so that we will leave Ln alone.
Ln (x + 2.8) = 9.6/6 = 1.6 

we divide the 9.6 to 6 and we get 1.6

x + 2.8 = e^1.6 
e^ for the substitution of Ln

x = e^1.6 - 2.8 
insert the e^(1.6) in the calculator and you will get 4.95303242439511 and subtract 2.8 and you will get the answer.

x = 2.153 
2.153 is the final answer in this question.
4 0
3 years ago
Suppose we went to choose 2 letters without replacement from 3 letters a b and c
vagabundo [1.1K]

Answer:

6 ways -  ab,ac, ba,bc and ca,cb

Step-by-step explanation:

We are given 3 letters a,b,c.

We can choose the first letter in 1 out of 3 ways.

Once the first letter has been chosen without replacement, we have two letters remaining. Another letter can be chosen from the 2 remaining letters in  2 ways. So the total number of ways of choosing the two letters is 3*2 = 6.

Listing out the possible set of choices:

Options include: ab,ac, ba,bc and ca, cb

3 0
3 years ago
If AB = 8 and BC = 24, then AC =<br><br> If AB = 17 and AC = 68, then BC =
Kryger [21]

Answer:

(i) The length of AC is 32 units, (ii) The length of BC is 51 units.

Step-by-step explanation:

(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

AC = AB + BC

If we know that AB = 8 and BC = 24, then:

AC = 8 + 24

AC = 32

The length of AC is 32 units.

(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

AC = AB + BC

BC = AC - AB

If we know that AC = 68 and AB = 17, then:

BC = 68-17

BC = 51

The length of BC is 51 units.

6 0
3 years ago
What is :
Natasha2012 [34]
Well if they match 60% of the $8,000 then it will be $14,300 but if they match 60% of the 8,000+1,500 then it would be $15,200.
6 0
3 years ago
HURRY PLEASE PLZ 10 POINTS Please some1 help me. jodi built a rectangular sandbox for her daughter. The sand measures 6 feet 5 f
ratelena [41]
Box:
Length = 6 feet
Width = 5 feet
Hight = 1.2 foot

Volume of the box = LxWxH
Box volume = 6x5x1.2 = 36 cubic feet
The Box holds 36 cubic feet of sand.

While Jodi bought 20 cubic feet of sand
Which means that Jodi is short by:
36 - 20 = 16 cubic feet.
4 0
3 years ago
Read 2 more answers
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