1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xxMikexx [17]
2 years ago
11

Element X is a radioactive isotope such that every 30 years, its mass decreases by half. Given that the initial mass of a sample

of Element X is 100 grams, how long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?
Mathematics
1 answer:
Lena [83]2 years ago
8 0

Answer:

19.3 years

Step-by-step explanation:

Given that the initial mass of a sample of Element X is 100 grams,

The formula is given as:

N(t) = No × (1/2) ^t/t½

Element X is a radioactive isotope such that every 30 years, its mass decreases by half.

N(t) = Mass after time (t)

No = Initial mass = 100 grams

t½ = Half life = 30 grams

N(t) = 100 × (1/2) ^t/30

How long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?

This means we are to find the time

N(t) = 100 × (1/2) ^t/30

N(t) = 64 grams

64 = 100(1/2)^t/30

Divide both sides by 100

64/100 = 100(1/2)^t/30/100

0.64 = (1/2)^t/30

Take the Log of both sides

log 0.64 = log (1/2)^t/30

log 0.64 = t/30(1/2)

t = 19.315685693242 years

Approximately = 19.3 years

You might be interested in
The table shows the number of free throws a player makes in a basketball game and the number of points the player scores in the
bekas [8.4K]
Given data in that table forms the 2x3 matrix shown below 2 7 6 5 4 5 a 3-point field goal is worth 3 points a normal field goal is worth 2 points a free throw is worth 1 points.
5 0
3 years ago
Read 2 more answers
Please help!! I need to know this by today
exis [7]
I think it's 3 feet


Hope this helps
5 0
3 years ago
A customer gives you a $100 bill for a purchase that totals $22.75. What is the best money combination to give the $77.25 to the
Alinara [238K]
3, 20 bills 60 dollars add 1, 10 bill to get to 70 dollars add 1, 5 bill you get 75 dollars add 2,1 bills to get 77 dollars finaly 1 quarter to get 77 dollars and 25 cents

4 0
3 years ago
Read 2 more answers
I will give u Brainliset rn if u answer
andrey2020 [161]

Answer:

11x+16y = 13

16y = -11x+13

y = -11/16x+13/16

Step-by-step explanation:

7 0
3 years ago
Five less than twice the value of a number is equal to three times the quantity of
MissTica

Answer:

These types of questions are not daunting if you break it down. First look at  "Five less than twice the value of a number."

"Twice the value of a number" is simply 2x.

"Five less" is simply -5, so for the first part we have (2x-5)

Next, analyze the second part. "Three times the quantity of four more than one half the number."

Looking at "Three times the quantity" simply means "3 times something".

"the quantity of four more than one half the number" is 4 + "one half the number" or 4 + (1/2)x.

So the second part is simply 3(4+x/2).

Finally we finish the entire equation, (2x-5) = 3(4+x/2) then solve for x.

2x-5 = 12 + (3/2)x

2x-(3/2)x = 17

x/2 = 17

x=34

Checking the left side, (2x-5) = 2(34) - 5 = 63.

Checking the right side, 3(4+(34/2)) = 3(4+17) = 3(21) = 63.

6 0
3 years ago
Other questions:
  • Mike and Michaela left a 15% tip on their bill for dinner together. The amount of the tip was $10.50. Makes dinner cost $40. If
    14·1 answer
  • the cost of state college tuition is currently at $22,500 per year and is rising at a rate of 4% each year. What will the same c
    8·1 answer
  • This is the question: -10.7 + (- 3.5 )
    14·2 answers
  • Check answer please, will upvote!
    8·1 answer
  • A commercial building has seven levels of car parking spaces. Each level has four rows and each row has 38 car spaces. How many
    12·1 answer
  • Ich weiss nicht was ich machen soll ich habe diese test aber checke selber nichts kann jemand mir helfen ich muss es ab morgen f
    5·1 answer
  • Consider the vibrating system described by the initial value problem. (A computer algebra system is recommended.) u'' + u = 8 co
    10·2 answers
  • Column
    14·1 answer
  • What’s the solution for 6x =36
    14·2 answers
  • The difference of three times a number and 4 is 13. Find the number. Round your answer to the hundredths place as needed.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!