Answer:
The committee of 8 members can be selected in 990,675 different ways.
Step-by-step explanation:
The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
4 teachers from a set of 6.
4 students from a set of 37.
Then
The committee of 8 members can be selected in 990,675 different ways.
The answer is 117 miles and if you were given the miles intead multiply 117 (or whatever the number would havw been) by 8 then divid th product by 312 to get the amount of gas used
Answer:
Marco- 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent.
Isabella- 1 is the starting population. 1+0.2=1.2 is the rate at which it grows each day.
Step-by-step explanation:
Marco's equation should be 
since the bacteria double each day. 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent. This will double each day because:
Day 1 is 
Day 2 is 
Day 3 is 
Day 4 is 
You'll notice the value doubles each day.
Isabella has a different equation because her population increases by a percentage. We use the simple interest formula to calculate the bacteria's daily increase or interest.
1(1+0.2)d
1 is the starting population.
1+0.2=1.2 is the rate at which it grows each day.
Answer:
A) x-3 and D) x+9
Step-by-step explanation:
x^2 + 6x - 27
You need to find two numbers that multiply to -27 and add up to 6
Those two numbers are -3 and 9, because 9 * -3 = -27 and 9+ -3 = 6
So you add those to x and those are your two factored binomials
(x-3) and (x+9)
