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ki77a [65]
1 year ago
7

How much of the initial mass remains after 80 years? (Round your answer to three decimal places.)

Mathematics
1 answer:
aleksandr82 [10.1K]1 year ago
4 0

Given

y=11(\frac{1}{2})^{\frac{t}{30}}

When t = 80

We substitute for t

y=11(\frac{1}{2})\frac{}{}^{\frac{80}{30}}

Simplify

y=11(\frac{1}{2})^{\frac{8}{3}}

Simplify further

y=1.732g

The final answer

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A supply company manufactures masks and ventilators for hospitals. To maintain hugh quality, the company should not manufacture
notsponge [240]

Answer:

20 masks and 100 ventilators

Step-by-step explanation:

I assume the problem ask to maximize the profit of the company.

Let's define the following variables

v: ventilator

m: mask

Restictions:

m + v ≤ 120

10 ≤ m ≤ 50

40 ≤ v ≤ 100

Profit function:

P = 10*m + 65*v

The system of restrictions can be seen in the figure attached. The five points marked are the vertices of the feasible region (the solution is one of these points). Replacing them in the profit function:

point          Profit function:

(10, 100)    10*10 + 65*100 = 6600

(20, 100)    10*20 + 65*100 = 6700    

(50, 70)      10*50 + 65*70 =  5050

(50, 40)     10*50 + 65*40 = 3100

(10, 40)      10*10 + 65*40 =  2700

Then, the profit maximization is obtained when 20 masks and 100 ventilators are produced.

4 0
3 years ago
What is the value of x?
vredina [299]

Answer:

<em>x=</em><em>3</em><em>0</em><em>°</em>

hopefully this answer can help you to answer the next question

6 0
3 years ago
Thea and Eleanor are reading the same book. The graph shows the number of words Thea reads over time. Eleanor reads 225 words pe
castortr0y [4]

The answers are:

Thea reads 180 words per minute...

Eleanor reads 450 words every 2 minutes...

After 1 hour of reading, Elanor reads more words than Thea

3 0
3 years ago
Solve for x The value of x is
Varvara68 [4.7K]

Answer:

7x+19 = 11x-89

-19. -19

7x= 11x-108

-11x -11x

-4x=-108

x=27

8 0
3 years ago
How much is the percent change if the price was $75 and now it is $300?
ale4655 [162]

Answer:

300 percent change

Step-by-step explanation:

300 is 400 percent of 75.(75x4 is 300.) Therefore, the percent change is

400 - 100 = 300.

6 0
3 years ago
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