A sinusoidal function whose period is 1/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3.
1 answer:
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1. Given a group of n people. There are C(n, r) ways of forming groups of r out of n.
2. Where C(n, r)=
3. For example, given {Andy, John, Julia}. We want to pick 2 people to give a gift: we can pick {(Andy, John), (Andy, Julia), (John, Julia)}, so there are 3 ways. So we can list and count.
4. Or we could do this with the formula C(3, 2)=
5. C(8, 6)=
So there are C(8,6)=28 ways of chosing 6 out of 8 people to form the subcommittees. <span />
2. Where C(n, r)=
3. For example, given {Andy, John, Julia}. We want to pick 2 people to give a gift: we can pick {(Andy, John), (Andy, Julia), (John, Julia)}, so there are 3 ways. So we can list and count.
4. Or we could do this with the formula C(3, 2)=
5. C(8, 6)=
So there are C(8,6)=28 ways of chosing 6 out of 8 people to form the subcommittees. <span />
Answer:
32 bottles
Step-by-step explanation:
In this scenario, we have to divide 8 by 1/4 to see how many of those 1/4-liter bottles can be filled with 8 liters of water. So, let's go ahead and see how this looks mathematically, then we'll start simplifying:
÷
Dividing by a fraction is the same as <em>multiplying by that same fraction's reciprocal</em>, so we can rearrange our math to make things easier.
×
Now, we can multiply the numerators and the denominators.
×
So 32 of those 1/4 liter bottles can be filled from a jug containing 8 liters of water. Hopefully this was helpful! If anything was confusing or didn't make sense, let me know so I can make things clearer. :)