Answer: 35
Step-by-step explanation:
Given : A bag contains four red marbles, two green ones, one lavender one, three yellows, and one orange marble.
Total = 4+2+1+3+1=11
To find sets of four marbles include none of the red ones, we need to exclude red marbles when we count the total number of marbles.
Then, the total marbles(exclude red) =11-4=7
Now, the combination of 7 marbles taking 4 at a time is given by :-

Hence, the number of sets of four marbles include none of the red ones = 35
Answer:
The final velocity v is 21.74 m/s.
Step-by-step explanation:
Given:

To find:

Solution:
As we know the third equation of motion is represented as

Substituting the values u, a and s in the above equation we get


Answer:
- Decay rate, r = 0.014
- Initial Amount =120,000

- P(10)=104,220
Step-by-step explanation:
The exponential function for growth/decay is given as:

In this problem:
The city's initial population is 120,000 and it decreases by 1.4% per year.
- Since the population decreases, it is a Decay Problem.
- Decay rate, r=1.4% =0.014
- Initial Amount =120,000
Therefore, the function is:

When t=10 years

Answer:
d
Step-by-step explanation:
d=(x, y) =(8,-4) so 4th quadrant
Answer:
1) -
2) +
3) -
4) +
Step-by-step explanation:
сумма внутренних углов треугольника не должна превышать 180 градусов