Multiple both sides by 5/1 and get
-1/1 • (x-4) = -10/1
divide the numbers and get
-1 • (x-4) = -10
remove the parentheses
- x-4 = 10
move the constant to the right
-x = -10-4
calculate
-x = -14
change the signs
x= 14
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.



![\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}](https://tex.z-dn.net/?f=%5Csqrt%5B24%5D%7B%281-r%29%5E%7B24%7D%7D%20%3D%20%5Csqrt%5B24%5D%7B0.74%7D)



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 
Answer:
22.5miles
Step-by-step explanation:
For Map 1;
1 inches = 30miles
For Map 2:
2 inches = 15miles
1 inches = x
2x = 1 *15
x = 15/2
x = 7.5miles
This means that 1 inch represents 7.5miles on Map 2'
The distance between the two cities in miles = 30miles - 7.5miles
The distance between the two cities (in miles) = 22.5miles
Okay so you need to start off by using the distributive property, meaning you are going to multiply -2 by both items within the parentheses. this gives you -2x + 10 = -14. from here you want to isolate x, so you’ll subtract both sides by 10 to move it to the other side. this gives you -2x=-24. then you’ll divide both sides by -2 to completely isolate x. this gives you x=12. does that make sense?