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Vinil7 [7]
2 years ago
12

Element X is a radioactive isotope such that every 26 years, its mass decreases by half. Given that the initial mass of a sample

of Element X is 390 grams, how long would it be until the mass of the sample reached 260 grams, to the nearest tenth of a year?​
Mathematics
1 answer:
SSSSS [86.1K]2 years ago
8 0

Answer:

It will take 15.029 years for element X to reach mass of 260 grams

Step-by-step explanation:

The half life period of radioactive element X is 26 years

The initial mass of radioactive element X is 260 grams

Elapsed time = half life * log (beginning amount /ending amount)/log 2

Substituting the given values, we get

Elapsed time = 26 * log (390/260)/log 2

=  15.209 years

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Write 2350 million in standard form
AleksAgata [21]

we know that

<u>Standard Form</u> is also known as Scientific Notation, is a method of writing numbers that accommodates value excessively large or small to be suitably written in Standard Decimal Notation

in this problem we have

2,350\ million

Remember that

1\ million=1,000,000

so

2,350\ million=2,350*1,000,000=2,350,000,000

<u>convert to standard form </u>

2,350,000,000=2.35*10^{9}

therefore

<u>the answer is</u>

2.35*10^{9}


8 0
2 years ago
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A n =−1+3(n−1) an=−1+3(n−1) what is the 55 term in the sequence
Sindrei [870]
ANSWER

a_{55}=161


EXPLANATION

The general term for the sequence is


a_n=-1+3(n-1)


To find the 55th term, we have to substitute
n = 55
in to the general term and simplify.



This implies that,

a_{55}=-1+3(55-1)



a_{55}=-1+3(54)




a_{55}=-1+162



a_{55}=161


Therefore the 55th term is 161.
8 0
2 years ago
xYou volunteer to help drive children at a charity event to the​ zoo, but you can fit only 6 of the 16 children present in your
brilliants [131]

There are 8008 groups in total, in other to drive the children

<h3>How to determine the number of groups?</h3>

From the question, we have

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The number of group of children that could be carried at once is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 16 and r = 6

Substitute the known values in the above equation

Total = ¹⁶C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 16!/10!6!

Evaluate

Total = 8008

Hence, the number of groups is 8008

Read more about combination at

brainly.com/question/11732255

#SPJ1

8 0
1 year ago
Free brainlest and 100 points <br> have a nice day ;)
labwork [276]
Omgggg thank youuuuu
3 0
2 years ago
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If the tip varies directly with the number of guest,which equation represents the relationshipbbetween the tip,t,and the number
sergejj [24]
<span>If the tip, t, varies directly with the number of guests, g, then it means that any change in tip there is a corresponding change in the number of guests. When the tip increases the number of guests increases as well. Therefore,

t </span>α g

To change the it to equal sign, we incorporate a proportionality constant, k.

t =<span> kg
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2 years ago
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