Answer:
distributive property
Step-by-step explanation:
we know the distributive property states that the multiplication of a number (in this case, the number 4) by a sum (in this case is a subtraction: x-6) is equal to the sum of the multiplications of that number for each of the terms that belong to the sum:
we have: 4(x-6)
we apply the distributive property, so we have
4(x-6)=4*x-4*6
4(x-6)=4x-24
Answer: 650
Step-by-step explanation:
When prior estimate of population proportion is known , then the formula to find the required sample size is given by :-

, where p= population proportion
E= margin of error
z* = Critical value.
Let p be the proportion of adults able to identify a Toyota Scion by brand and model name.
As per given , we have
p = 12%= 0.12
E= 2.5%=0.025
Critical value for 95% confidence interval : z* = 1.960 [By z-table ]
Then, the required sample size = 



Thus , the required sample size = 650
Answer:
36
Step-by-step explanation:
36/4 = 9 wish this helps!
Answer:
2nd option
Step-by-step explanation:
Given
2x - 8y + 3x² + 7y - 12x ← collect like terms
= 3x² + (2x - 12x) + (- 8y + 7y)
= 3x² + (- 10x) + (- y)
= 3x² - 10x - y
Answer:
18.66 ft/s
Step-by-step explanation:
The distance between you and the elevator is given by:

The rate of change for the distance between you and the elevator is given by:



Applying the chain rule:

Therefore, at x=300 and y = 500, dy/dt is:

The elevator is descending at 18.66 ft/s.