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Damm [24]
4 years ago
15

a radioactive substance has a Decay rate of 5% per hour. if 500 hundred grams are present initially, how much of the substance r

emains after 4 hours?
Mathematics
1 answer:
kirza4 [7]4 years ago
3 0
First we have to calculate the half-life
half-life = elapsed time * log (2) / log (bgn amt / end amt)
half-life = 1 hour * 0.30102999566 / log (1 / .95)
half-life = 0.30102999566 / log (<span> <span> <span> 1.0526315789 )
</span> </span> </span>half-life = 0.30102999566 / 0.022276394692
half-life = <span> <span> <span> 13.5134073454 hours
</span> </span> </span>
Ending Amount = Beginning Amount / 2^n
Where "n" = number of half-lives
For 4 hours, "n" equals
4 / 13.5134073454
=<span> <span> <span> 0.2960023255

</span></span></span>Ending Amount = 500 grams / 2^.2960023255
Ending Amount = 500 grams /<span> <span> <span> 1.2277376629
</span> </span> </span>Ending Amount = <span> <span> <span> 407.2531250707 grams

Source:
http://www.1728.org/halflife.htm


</span></span></span>
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2. Write the inequality and show all work to solve the
seraphim [82]
Yes you are doing it correctly.
$12.00 + $3.00x <= $24.00
$12.00 + $3.00x - $12.00 <= $24.00 - $12.00
$3.00x <= $12.00
$3.00x/$3.00 <= $12.00/$3.00
x <= 4

The number line representation will be an arrow with a shaded round head pointing to the left from tne number 4.
6 0
3 years ago
Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
Setler79 [48]

Answer:

Therefore values of a and b are

a=3\ and\ b = 2

Step-by-step explanation:

Rewrite x^{2}-6x+7=0 in the form

(x-a)^{2}=b

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

x^{2}-6x+7=0 ..............Given

Which can be written as

x^{2}-6x=-7

(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9

Adding half coefficient of X square on both the side we get

x^{2}-6x+9=-7+9=2 ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}

Substituting in equation 1 we get

(x-3)^{2}=2

Which is in the form of

(x-a)^{2}=b

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

a=3\ and\ b = 2

4 0
3 years ago
PLEASE HELP AND SHOW YOUR WORK!!
trasher [3.6K]

Answer: The answer would be B) 9% Decrease!

275 - 250 = 25.

25/275 = 0.0909090909

0.0909090909 x 100 = 9.09090909091

Finally you'd round it to 9%.

Therefore there was a 9% decrease in the amount of large pizzas.

Hope this helps (: Stay safe.

8 0
3 years ago
Read 2 more answers
Find the measure of the 3rd angle of a triangle given that the first 2 angles are 44 and 72 degrees
MArishka [77]
<span>3rd angle of a triangle = 180 -(44 + 72) = 180 - 116 = 64

answer
</span><span>3rd angle of a triangle = 64 degrees</span>
5 0
3 years ago
How do we calculate 25% of 300
Natali5045456 [20]
25% is equal to \frac{1}{4}. To get 25% of 300, we multiply 300 by either 0.25 or \frac{1}{4}. This gives us (300)( \frac{1}{4}) =  \frac{300}{4}  =  \frac{150}{2} = 75
4 0
3 years ago
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