Answer:
There are a total of 12 groups to study
Step-by-step explanation:
You have 3 possible supplies for each subject and they can have 2 different king of diets. That gives you alredy 3*2 = 6 different options to study. You can divide further when you make the comparisson at the end of the month, allowing you to subdivide into two more categories: wheater their blood pressure is higher or lower.
That gives you a total of 3*2*2 = 12 groups to study.
I hope I could help you!
Answer:
You have to replace x for each density
Step-by-step explanation:
Density = Mass / Volumen
1,000 g = 1 kg
1,000,000 cm^3 = 1 m^3
g/cm^3 = 1000 kg/m^3
Using density as x
![volumen \: = \frac{50000}{x} \\ volumen \: sphere \: = 4\pi {r}^{3} \\ 4\pi {r}^{3} = \frac{50000}{x} \\ r = \sqrt[3]{ \frac{50000}{4\pi {x}^{} } }](https://tex.z-dn.net/?f=volumen%20%5C%3A%20%20%3D%20%20%5Cfrac%7B50000%7D%7Bx%7D%20%20%5C%5C%20volumen%20%20%5C%3A%20sphere%20%5C%3A%20%20%3D%204%5Cpi%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%204%5Cpi%20%7Br%7D%5E%7B3%7D%20%20%3D%20%20%5Cfrac%7B50000%7D%7Bx%7D%20%20%5C%5C%20r%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B50000%7D%7B4%5Cpi%20%7Bx%7D%5E%7B%7D%20%7D%20%7D%20)
.53= 53/100
53/100 cannot be simplified so the answer is 53/100
9514 1404 393
Answer:
30 mL
Step-by-step explanation:
The meaning of 60% solution is ...
alcohol/(total volume) = 0.60
You are told the amount of alcohol is 18 mL, so you have ...
(18 mL)/(total volume) = 0.60
Multiplying by total volume gives ...
18 mL = 0.60 × (total volume)
Then dividing by 0.60, you have ...
(18 mL)/0.60 = total volume = 30 mL
_____
<em>Additional comment</em>
You need to apply what you know about the real world to consider whether your answer makes any sense. If alcohol is a little more than half of the volume, and the amount of alcohol is 18 mL, then the total volume cannot be less than 18 mL. In fact, you expect it to be not quite double 18 mL.
An answer of 10.8 mL makes no sense in this context. You cannot have less total solution than you have of something that makes up a part of the total solution.
The recursive formula for this sequence is 
= -7; 
= 
+ 10
Step-by-step explanation:
The recursive formula of the arithmetic sequence is:
= first term; = + d
- is the first term in the sequence
- is the nth term in the sequence
- the term before the nth term
- n is the term number
- d is the common difference
∵ The sequence is -7 , 3 , 13 , 23 , 33 , 43 , ........
∵ 3 - (-7) = 3 + 7 = 10
∵ 13 - 3 = 10
∵ 23 - 13 = 10
- There is a constant difference 10 between the consecutive terms
∴ The sequence is an arithmetic sequence
∵ The first term is -7
∴ = 7
∵ The common difference is 10
∴ d = 10
- Substitute in the formula above by -7 and d by 10
∴ = -7; = + 10
To check the formula find the second term
∵ n = 2
∴ = -7; 
= 
+ 10
∴ = 
+ 10
∵ = -7
∴ = -7 + 10 = 3 which is right
The recursive formula for this sequence is = -7; = + 10
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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