All categories

3 years ago

A radioactive substance decays according to the formula A=A0e^kt

1 answer:

4 0

Without needing fancy formulas, we can conclude that after 10 years, half of the substance will be left. So, we can make our own formula:
amount remaining = 1 / 2^(years/10)
So, after 5 years
amount remaining = 1 / 2^(5/10)
amount remaining = 1 / 2^(.5)
amount remaining = 1 / 1.414213562 
amount remaining = 0.70711 * 20 grams
amount remaining = 14.1421356237 grams

You might be interested in

What is the solution to the equation? 9.1k = 63.7

Natalija [7]

Answer:

k = 7

Step-by-step explanation:

9.1k = 63.7

/9.1 /9.1

k = 7

Check your answer:

9.1k = 63.7

9.1 (7) = 63.7

63.7 = 63.7

This statement is true.

Hope this helps!

4 0

2 years ago

Read 2 more answers

George has a square sandbox in the backyard. The sandbox has an area of 160 square feet. To the nearest foot, what is the length

spin [16.1K]

We know that the sandbox is square, and that the area is 160 sq ft. Since A = s^2 for a square, let's work backwards and find s if A = 160 sq ft = s^2.

s^2 = 160 = 16(10). We do this because 16 is the largest perfect square factor of 160.

Then the length of one side of the square is approx. s = 4√10 ft (12.65 ft)

7 0

3 years ago

Jane has a average score of 73% on three quizzes. What must she score on the next quiz to have an average of 78%?

Ket [755]

Answer:

Step-by-step explanation:

The average is calculated as

average = $\frac{sum}{count}$

On 3 quizzes

$\frac{sum}{3}$ = 73 ( multiply both sides by 3 )

sum = 219

On 4 quizzes, letting x be the score on fourth test

$\frac{sum+x}{4}$ = 78 ( multiply both sides by 4 )

sum + x = 312 , that is

219 + x = 312 ( subtract 219 from both sides )

x = 93

She must score 93 on the next quiz

4 0

3 years ago

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the

dezoksy [38]

The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let F represent temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

At 0°C, the temperature is 32°F. Also at 100°C, the temperature is 212°F, hence:

$C-0=\frac{100-0}{212-32} (F-32)\\\\C=\frac{5}{9} (F-32)$

The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)

Find out more on equation at: brainly.com/question/297283

3 0

3 years ago

Estimate 17.218 -5.75 by first rounding each number to the nearest tenth.

777dan777 [17]

11.5, when rounded to the nearest tenth the answer was 11.468 but we need to round and 6 is 5 and higher so the 4 would become a 5. The answer is 11.5

7 0

3 years ago

Read 2 more answers