Answer:
2y² + 9
---------------
15y³
Step-by-step explanation:
Start by identifying the LCD, and then change each fraction so that its denominator is the LCD.
Here the LCD is 15y³, which is evenly divisible by 15y and 5y³.
Focus now on the first fraction: 2 / (15y). Multiplying numerator and denominator of this fraction by y² results in
y²·2 2y²
--------- → ----------
y²·15y 15y³ ←This is the correct LCD
Multiplying numerator and denominator of the second fraction by 3 results in:
3·3 9
------------ → ---------
3·5y³ 15y³ ←This is the correct LCD
So now those two original terms look like:
2y² 9
--------- + --------
15y³ 15y³
and this can be written in simpler form as:
2y² + 9
---------------
15y³
Answer:
The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.
The function to represent the mass of the sample after t days is
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance is given by:
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Hourly rate of change:
Decreases 26% by day. A day has 24 hours. This means that ; We use this to find r.
The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.
Starts out with 810 grams of Element X
This means that
Element X is a radioactive isotope such that its mass decreases by 26% every day.
This means that we use, for this equation, r = 0.26.
The equation is:
The function to represent the mass of the sample after t days is
First, you convert 5% to decimal. For your info, percents are always equal to 100. So, you divide 5 by a 100, which gives you 0.05. Then, you multiply 2.95 by 0.05. 2.95 x 0.05 is 0.1475 which is about 0.15. Then, you add 0.15 to 2.95. The total cost of a $2.95 notebook plus 5% is about $3.10.
Answer:
A. 84x - 16y - 10.6
Explanation:
apply distributive method: a(b + c) = ab + ac