Answer:
1/11
Step-by-step explanation
There are 12 marbles in the bag. When we first pick we have 4 blue marbles. So 4 blue marbles/12 random marbles. When we pick blue and noted, there are 3 marbles in the bag because of we didn't put it back. So when we choose again there are 11 marbles and 3 blue marbles in the bag. Choosing a blue one case is 3/11.
The last part of this case is happening as a chain. So we need to multiply our two answers.
=4/12*3/11
=1/3*3/11
=1/11
Answer:
The population reaches 7 million people in the year 2032.
Step-by-step explanation:
We have that

Using this model, find the year when the population reaches 7 million people.
This is x years after 2000, in which x is found when f(x) = 7. So




We have to following logarithm rule

So we apply log to both sides of the equality




2000 + 32.66 = 2032
The population reaches 7 million people in the year 2032.
If a graph is proportional then the line will go through the origin at point (0, 0). If the equation is proportional then it will be in the form of y=kx with no other operations after. The constant of proportionality is another way to say the slope and in your specific equation the slope would be 1/5.
Answer:
Yes
Step-by-step explanation:
Use the completing the square method:
16(x^2-x)+4
=16((x-1/2)^2 - (1/2)^2)+4
=16((x-1/2)^2 - 1/4)+4
=16((x-1/2)^2) - 16/4 + 4
=16(x-1/2)^2
=4^2(x-1/2)^2
The product of two square is itself a square.