4) 975
5) 53/7650
…… ,… … … …
Answer: 16 g
Step-by-step explanation:
We can solve this with the Radioactive Half Life Formula:
Where:
is the final amount of radioactive calcium
is the initial amount of radioactive calcium
is the time elapsed
is the half life of radioactive calcium
Solving with the given data:
This is the amount of radioactive calcium left
Step-by-step explanation:
y is directly proportional to x^2.
This means that y = kx^2, where k is a real constant.
When x = 7, y = 245:
245 = k(7)^2 = 49k. By division, k = 5.
Now we know that y = 5x^2, when x = 9, y = 5(9)^2 = 5 * 81 = 405.
Answer:
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will amount to $17,750 . The variable costs will be $12.75 per book.
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
When the greatest common factor of two numbers is 1 or -1, the numbers are known as relatively prime. This means there are no numbers that can be factored out of both of the numbers, meaning if the numerator and denominator are relatively prime, they can not be simplified any further.