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tatuchka
2 months ago
11

A pharmacy uses 4×10−3 liter of an active ingredient in one dose of a medication. The active ingredient comes in a 2-liter bottl

e. How many doses of the medication can be made with one bottle of the active ingredient? Write your answer in standard form.
Mathematics
1 answer:
Zina [12.3K]2 months ago
3 0
Each bottle contains 2 liters of the active solution. To find out how many doses can be made, divide 2 L by 4x10^-3.
The number of doses is calculated as (2 L) / (4x10^-3 L/dose) = 500 doses.
Consequently, the pharmacy is capable of preparing 500 doses of the medication. 
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Decide whether the set A of positive integers divisible by 17 and B the set of positive integers
Inessa [12570]

Answer:

  • Yes; refer to the question's clarification and the detailed answer below for more information.

Explanation:

Sets are in bijection if there is a bijective function connecting them.

This implies that the question can be interpreted as: can sets A and B be related via a bijective function?

A bijective function must be both injective and surjective, which means it is reversible.

Injective indicates that each element in the domain corresponds uniquely to an element in the codomain.

Surjective denotes that every element in the codomain relates to exactly one element in the domain.

This ensures there are no unmatched elements.

If we consider set A as the function's domain and set B as the codomain.

The core question then becomes: can the set {17, 34, 51, 68, 85,...} be in bijection with the set {11, 22, 33, 44, 55,...}?

Notice that the two sets share no common elements, as 17 and 34 are coprime.

A bijective function can only be established between sets A and B or B and A if both sets possess the same cardinality (number of elements).

Indeed, the cardinality of sets A and B is identical: both sets are of equal size, affirming that a bijective relationship exists between them.

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3 months ago
Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to
zzz [12365]
Plans A and D are incorrect because plan C states that it would have a consistent price for 8 weeks, whereas plan D would require 16 weeks to reach $12, which eliminates A and D as options. If the price were to be increased by 10% weekly, it would take 5 weeks to hit $12, as 10% of $8 amounts to 80 cents, leading to a total increase of $4 after 5 weeks, making the price $12. This confirms that B is the right choice.
3 0
1 month ago
Read 2 more answers
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