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MAVERICK [17]
4 years ago
9

A certain radioactive isotope decays at a rate of 0.3​% annually. Determine the ​half-life of this​ isotope, to the nearest year

Mathematics
1 answer:
Liono4ka [1.6K]4 years ago
7 0

This could be rephrased as:

You start with 100 grams of a substance.  One year later you have 70 grams.  What is the half-life?

We need this formula:

half-life = (time * natural log (2)) / natural log (beginning amount / ending amt)

half-life = (1 year * .69315) / natural log (100 / 70)

half-life = (.69315) / 0.35667494396

half-life = 1.9433661145 years

Rounding to nearest year half-life = 2 years

Sourse: https://www.1728.org/halflif2.htm

(See problem 3)


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There are 87 skiers in line to ride the chair lift. If each chair seats 2 people, how many skiers will be on the last chair?
-Dominant- [34]

Step-by-step explanation:

Divide 87 by 2 to represent how many chairs will be occupied.

\frac{87}{2} =43\frac{1}{2}

43 1/2 chairs will be occupied, meaning that 43 chairs have 2 people, and one chair has 1 person.

The chair with one person is represented as the last chair.

7 0
3 years ago
Y=7 x=2 what is the value of x when y=21
Margaret [11]
Answer:

<span>y=4.98</span>

Explanation:

First, find the constant of proportionality , k.

<span>y=kx</span>
<span>21=7k</span>
<span>k=3</span>

We now start over and solve for y using the new value of x and the obtained value of k.

<span>y=<span>(3)</span><span>(1.66)</span></span>
<span>y=<span>4.98</span></span>

4 0
3 years ago
Read 2 more answers
The skate Sports Store offers 4-wheel and 5-wheel inline skates. On display in the store are the left skates for 17 different st
beks73 [17]

There are 6 skates in store with 5 wheels.

<h3>What is Equation?</h3>

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, Let the number of 4 wheel skates in display be x

         and the number of 5 wheel skates in display be y

       Total number of skates = 17

       Total number of wheel = 74

Now, according to question

        x + y = 17     ................(i)

        4x + 5y = 74 ..................(ii)

From equation (i), we get

          x = 17 - y   ................(iii)

put the value of y in equation (ii), we get

      4(17 - y) + 5y = 74

       68 - 4y + 5y = 74

          y + 68 = 74

          y = 6

Put the value of y in equation (iii), we get

          x = 17 - 6

          x = 11

Thus, there are 6 skates in store with 5 wheels.

Learn more about Equation from:

brainly.com/question/10413253

#SPJ1

6 0
2 years ago
write the 2-digit number that matches the clues my number has a tens digit that is 8 more than the ones digit. zero is not one o
S_A_V [24]
I'm not sure but i think it might be 90.
3 0
3 years ago
What is tan 30°?<br><br>30°<br>​
schepotkina [342]

Answer:

i think its =0.5773502692

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