So there is 65 yards and one yard is 3 feet so you multiple 65 by 3 which is 195 . Then you divide by 4 as you have to see how many four foot pieces can be cut which you end up with 48.75 which means that you can have 48 four foot pieces. So since you have 48 four foot pieces you multiply 48 by 4 and you have 192 and if you subtract 195 which is how many feet there is in the 65 yards you get three feet and that is how much of the rope that is left over.
-2x(4x² - 5x + 3) Distribute/multiply -2x into (4x² - 5x + 3)
(4x²)(-2x) - (5x)(-2x) + (3)(-2x)
-8x³ + 10x² - 6x
Your answer is the 3rd option
Answer:
Step-by-step explanation:
1) For each situation to grow or decay by a constant percent rate, it must be exponential. Therefore, the correct examples are
A. The number of cars sold doubles every year. It is a 200% growth every year.
D. Each time you start a car engine the remaining engine life decreases by 0.0075%. A case of decay
E. The number of people creating cat videos increases by 15% percent every year.
F. Computer technology increases by a factor of 3 every five years.
2) this is a case of exponential decay. The expression for exponential decay is
y = b(1 - r)^t
y = final value
b = initial value
r = decay rate
t = time
Given that
r = 10% = 10/100 = 0.1
b = 50 kilograms
y = W kilograms
The relationship is
W = 50(1 - 0.1)^t
W = 50(0.9)^t
Answer:
The actual answer is 9.25
Step-by-step explanation:
The mistake is in Step 4, as <u>4 × 2 = 8</u>, not 6
The answer will be y^2/4 (I’ve written up properly on the photo as I can’t type it)
