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
qwelly [4]
3 years ago
13

Element X is a radioactive isotope such that every 14 years, its mass decreases by half. Given that the initial mass of a sample

of Element X is 360 grams, how long would it be until the mass of the sample reached 100 grams, to the nearest tenth of a year?
Mathematics
1 answer:
Alik [6]3 years ago
3 0

Answer:

25.9 years

Step-by-step explanation:

The half life of an isotope is related to the actual amounts by the equation:

N = Ni*(1/2)^(t/HL)

where N and Ni are the final and initial (Ni) amounts, t is the time (in years for this problem) and HL is the half-life, in years.

In this problem, we can write:

100 = 360*(1/2)^(x/14)

I'll reduce this to:

1 = 3.6*(1/2)^(x/14)

This can be solved by taking the log of both sides.

x = 25.87 or 25.9 years

You might be interested in
What is The simple interest earned on a deposit of $3000 at 6% for five years
Norma-Jean [14]

Answer: $900

Step-by-step explanation:

The simple interest is calculated using the formula:

(P × R × T)/100

where,

P = Principal = $3000

R = Rate = 6%

T = Time = 5 years

Simple Interest = (P × R × T)/100

= ($3000 × 6 × 5)/100

= 90000/100

= $900

Therefore, the simple interest is $900

4 0
3 years ago
What is 3/4 doubled? Is it 6/8 or 1 2/4?
Amanda [17]

Answer:

1 2/4

Step-by-step explanation:

3/4 doubled is 2(\frac{3}{4} )=\frac{3}{2}

Now, \frac{6}{8} =\frac{3}{4} on simplification.

1 \frac{2}{4} =\frac{6}{4} =\frac{3}{2}

Therefore,

3/4 doubled is 1 2/4

6 0
3 years ago
The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders
irina1246 [14]

Using the data presented in the problem, you are asked to predict the probability that future customers will cancel their preorders. To find the probability, you have to divide the number of people who cancelled their preorders by the total number of people who preordered.

35 people / 140 people = .25 or 25% probability that the future customers will cancel their preorders.

3 0
4 years ago
In △MNO, m = 20, n = 14, and m∠M = 51°. How many distinct triangles can be formed given these measurements?
alexandr402 [8]
<span> The answer will be 2 There is only one distinct triangle possible, with m∠N ≈ 33°.</span>
3 0
3 years ago
Read 2 more answers
CAN U SOLVE THIS
balandron [24]

Hello!

To the value of b, or the y-intercept, we need to substitute an ordered pair/point into the given equation.

Since we are given two points, we can use those two points to find two different equations.

Remember that ordered pairs are written as (x, y).

A(-2, 4)

y = -3x + b

4 = -3(-2) + b

4 = 6 + b (subtract 6 from both sides)

-2 = b

A) Therefore, the equation of the first ordered pair is y = -3x - 2.

B(5, 2)

2 = -3(5) + b

2 = -15 + b (add 15 to both sides)

17 = b

B) The equation of the second ordered pair is y= -3x + 17.

<u>Final answers</u>:

  • A) y = -3x - 2
  • B) y = -3x + 17
8 0
3 years ago
Other questions:
  • Tentukan himpunan penyelesaian dari persamaan berikut:<br> 3y+15=5y-1
    13·1 answer
  • What is the probability that Ryan is not chosen today
    12·1 answer
  • The rectangular prism below has a length of 18 inches, a width of 24 inches, and a height of 12 inches.
    5·1 answer
  • Solve for x.<br><br> 2x/3 + 1 = 3<br><br> x = 1 <br> x = 2 <br> x = 3<br> x = 6
    5·2 answers
  • The circumfrence of a circle is 188 meters. what is the approximate radious of the circle???
    5·2 answers
  • What is the product of 4/5×2/3? Draw a model to support your answer. Explain how the model shows the product.
    8·1 answer
  • What’s the answer for 2(w-3)+5=3(w-1)
    5·2 answers
  • Anyone know the answer to this?
    12·2 answers
  • The quotient of -15x^8/5x^2, x≠0,is
    11·1 answer
  • PLEASE HELPPPPPPPPP!!!!?!?! ASAP WILL GIVE BRAINLIEST IF CORRECT PLSSS AND THANK YOU.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!