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lorasvet [3.4K]
3 years ago
12

20 gallons to 0.75 gallons express in simplest form

Mathematics
1 answer:
natta225 [31]3 years ago
7 0

20 : 0.75 = 40 : 1.5 = 80 : 3

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A patient is given a 100-milligram dosage of a drug that decays exponentially at a rate of 11% per hour. The doctor wants to kno
I am Lyosha [343]

Answer:

This is an example of exponential decay (somewhat similar to half-life).

If it decays at 11% per hour we can calculate its half-life by this formula:

half life = [ time • ln (2) ] ÷ ln (beginning amount ÷ ending amount)

where "ln" means natural log

half life =[ 1 hour * .69315] / ln (100 / 89)

half life =[.69315] / ln (1.1235955056)

half life =[.69315] / 0.11653381624

half life = 5.9481 hours


We need "lambda" "λ" (the decay constant) which equals

λ  = ln(2) / half-life = .693147 / 5.9481 = 0.1165325062


Now we need a formula for the time required:

time = ln (Nt ÷ N0) ÷ -λ where No = beginning amount (100 milligrams) Nt = ending amount (15 milligrams)

time = ln (15 ÷ 100) ÷ -0.1165325062

time = ln (.15)  /  -0.1165325062

time = -1.8971199849 / -0.1165325062


time = 16.2797492885 hours

Source: https://www.1728.org/halflif2.htm



Step-by-step explanation:


4 0
3 years ago
1) Is it a function?<br> Please help
Lana71 [14]

Answer:

Hi, there your answer is no it is not a function

Step-by-step explanation:

Since x is repeating itself

7 0
3 years ago
Read 2 more answers
On april 1 of the current year, a company purchased and placed in service a machine with a cost of $240,000. the company estimat
Viktor [21]

The answers to the questions are:

  • a. $33,750
  • b. $36000
  • c. $90000

a. <u>the straight-line method of depreciation</u>

\frac{cost of machine - salvage}{useful life} * period

= (240000 - 60000) / 4 * (9 / 12)

= $33,750

The debit is 33750 as well as the credit

b. <u> the units-of-production method of depreciation</u>

(240000 - 60000) / 60000 * 12000

= $36000

c. <u>the double-declining balance method of depreciation</u>

(24000 *2 /4) * (9/12)

= $90000

Read more on depreciation here: brainly.com/question/1203926

#SPJ1

8 0
2 years ago
The child’s physical density is being measured by the displacement method. A child of 50 pounds is placed in a tub filled
Mariana [72]

ANSWER

1.05 g/cm³

EXPLANTION

this is a multi step process and is really hard to type on the computer but this is the answer.

6 0
3 years ago
Similar<br> Not Similar<br><br><br> Please help please
solong [7]

Answer:

I dont think thats similar

Step-by-step explanation:

6 0
3 years ago
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