Step-by-step explanation:
There is a 3.8 difference between all the numbers. so the numbers are 2, 5.8, 9.6, 13.4, 17.2, 21
answer:
Sharon used more milk because 3 cups equal 1.5 (one and a half) pints.
Detailed answer:
1 cup equals 0.5 pints or half of a pint. So if you take 0.5 and multiply it by 3 you get 1.5 and that is the amount of pints that Sharon uses but Sue uses 1 pint or 2 cups. so 1.5 pints is grater than 1 pint by 0.5
(sorry if this was not so clear i am not that good at explaining things, also i hope this helps and you get a good score on whatever you are doing.)
Interesting question. Good to know for computer science.
Suppose you have a function like
an = 3x - 2 Try the first couple
a1 = 3(1) - 2
a1 = 3 - 2
a1 = 1
a2 = 3(2) - 2
a2 = 6 - 2
a2 = 4 So each term differs by 3
a2 - a1 = 3
an = a_(n - 1) + 3
a3 = a2 + 3
a3 = 4 + 3
a3 = 7
a4 = a3 + 3
a4 = 7 + 3
a4 = 10
a5 = a4+ 3
a5 = 10 + 3
a5 = 13
I'll do one more and then check it.
a6 = a5 + 3
a6 = 13 + 3
a6 = 16
a6 = 3x -2
a6 = 3*6 - 2
a6 = 18 - 2
a6 = 16 which checks.
So the general formula is
an = a_(n - 1) * k if you were multiplying or
an = a_(n - 1) + k if you were adding. The key thing is that you are working with the previous term.
Answer:
Therefore the third container contains
= 43.23 % acid.
Step-by-step explanation:
Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.
Let the volume of first container be x cubic unit.
Since the volume of second container is 55% larger than the first.
Then the volume of the second container is
cubic unit.
cubic unit.
The amount of acid in first container is
cubic unit.
cubic unit.
The amount of acid in second container is
cubic unit.
cubic unit.
Total amount of acid
cubic unit.
cubic unit.
cubic unit.
Total volume of mixture
cubic unit.
cubic unit.
cubic unit.
The amount of acid in the mixture is
![=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctextrm%7BThe%20volume%20of%20acid%7D%7D%7B%5Ctextrm%7BThe%20amount%20of%20mixture%7D%7D%5Ctimes%20100%20%5C%25)
![=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%](https://tex.z-dn.net/?f=%3D%5Cfrac%20%7B%5Cfrac%7B11025%7D%7B10000%7DV%7D%7B%5Cfrac%7B255%7D%7B100%7DV%7D%5Ctimes%20100%5C%25)
![=\frac{735}{17}\%](https://tex.z-dn.net/?f=%3D%5Cfrac%7B735%7D%7B17%7D%5C%25)
Therefore the third container contains
acid.
Answer: Graph shifts 4 units to the left
Explanation:
I'm assuming you meant to say y = |x+4|
If so, then the graph shifts 4 units to the left. Replacing x with x+4 moves the xy axis 4 units to the right if we held the V shape in place (since each x is now 4 units larger). This gives the illusion the V shape is moving 4 units to the left.
Or you could look at the vertex point to see how it moves. On y = |x|, the vertex is at (0,0). It then moves to (-4,0) when we go to y = |x+4|