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Nostrana [21]
3 years ago
8

A commercial package contains thirty-six 200-mg tablets of ibuprofen. How many kilograms of ibuprofen were

Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0

Answer: 0.0072 kilogram

Step-by-step explanation:

Given : The mass of one tablet of ibuprofen =200  mg

Then, the mass of 36 tablets of ibuprofen =36\times200  mg

i.e. the mass of 36 tablets of ibuprofen =7200  mg

We know that 1 kilogram = 1000 grams

and 1 gram = 1000 milligram

Then, 1 kilogram = 1000,000 milligrams

Then, \text{1 mg}=\dfrac{1}{1000,000}\text{ kg}

Now,  \text{7200 mg}=\dfrac{7200}{1000,000}=0.0072\text{ kg}

Hence, A commercial package contains 0.0072 kilogram of ibuprofen.

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If S is a compact subset of R and T is a closed subset of S, then T is compact. Prove this using the definition of compactness.
wlad13 [49]

Answer:

It has been proved that T is compact

Step-by-step explanation:

To prove this using the definition of compactness, let's assume that T is

not compact. Now, if that be the case, an open cover of T will exist. Let's call this open cover "A". Now, this open cover will have no finite subcover.

Now, from the question, since T is closed, it’s complement R\T will be open.

Therefore, if we add the set R\T to the collection of sets A, then we'll have an open cover of R and also of S.

Due to the fact that S is compact, this

cover will have a finite sub - cover which we will call B.

Finally, either B itself or B\{R\T} would be a finite sub - cover of A. This is a contradiction.

Thus, it proves that T has to be compact if S is to be a compact subset of R and T is to be a closed subset of S.

3 0
3 years ago
Identify the quadrilateral that has four congruent angles that has two pairs of parallel sides
Anna11 [10]

Answer:

Rhombus

Step-by-step explanation:

Rhombus: A quadrilateral with four congruent sides and two pairs of parallel sides.

<h3>Hope it is helpful...</h3>
6 0
3 years ago
The recursive function for a sequence is given below.
masya89 [10]

Answer:

f(5) = 3200

Step-by-step explanation:

Using the recursive formula to generate the terms, that is

f(2) = 2 × f(1) = 2 × 200 = 400

f(3) = 2 × f(2) = 2 × 400 = 800

f(4) = 2 × f(3) = 2 × 800 = 1600

f(5) = 2 × f(4) = 2 × 1600 = 3200

8 0
3 years ago
Read 2 more answers
A hair salon charges a fixed rate of $25.00 for a haircut and then an additional 515 for any other services. Write a function to
V125BC [204]

Answer:

you have a fixed rate of $25, meaning you get a haircut, it's $25

ANY other service is an extra $15

So, let's make the equation...

y=15x+25

Now, to just get a haircut it's $25.

But, let's say you get a haircut+shampoo

It'd be..

y=15(1)+25

y=$40

Another one..

You get a haircut+shampoo+highlight

y=15(3)+25

y=$70


6 0
3 years ago
Please I need help of this one :)
Harlamova29_29 [7]

Answer:

128.605 m²

Step-by-step explanation:

Find the areas of the top triangle, and the bottom triangle and add them together.

The top triangle consists of 2 smaller triangles.  Look at the larger one, the height is 4.93 and the base is 17.  The area is...

A = (1/2)(17)(4.93)

   A = 41.905 m²

The bottom triangle consists of 2 smaller triangles.  Look at the larger one, the height is 10.2 and the base is 17.   The area is...

A = (1/2)(17)(10.2)

  A = 86.7 m²

The total area is 41.905 m² + 86.7 m² = 128.605 m²

5 0
3 years ago
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