Answer:
x = -1
Step-by-step explanation:
8x = - 4(x + 3)
8x = -4x - 12
+4x +4x
<u>12x = -12</u>
12 12
x = -1
- Remember, a negative times a positive equals a negative
- Remember, a negative divided by a positive equals a negative
Hope this helps you!!! :)
Answer:
- we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974
- it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21
Step-by-step explanation:
WITH THE GIVEN DATA
A ) using regression to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age pf 21
to fit into a regression line we must have ∝ and β
where β =
= 0.2871
and ∝ = y - βx = - 1.5974
regression line = ∝ + β * x
insert values into regression line equation
regression line = -1.5974 + 0.2871 * x
we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974
B ) conclusion and recommendations can you derive from your analysis
it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21
using the correlation coefficient ( r ) =
= 0.8394

Actually Welcome to the concept of Radioactive decay.
So the left would be 30 grams.
Answer:
0.0221 feet per minute.
Step-by-step explanation:

If the Base Diameter = Height of the Cone
The radius of the Cone = h/2
Therefore,

Rate of Change of the Volume, 
Since gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. Therefore, the Volume of the cone is increasing at a rate of 10 cubic feet per minute.

We want to determine how fast is the height of the pile is increasing when the pile is 24 feet high.
We have:

When the pile is 24 feet high, the height of the pile is increasing at a rate of 0.0221 feet per minute.