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dmitriy555 [2]
2 years ago
7

4,183 divided by 47 for a quiz

Mathematics
2 answers:
vivado [14]2 years ago
8 0

Answer:

89

Step-by-step explanation:

docker41 [41]2 years ago
7 0
The answerr to the question is 89
You might be interested in
9. Determine how long it takes for 80% of the material to decay.
Vilka [71]

Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.

The amount of a substance after t days is modeled by:

A(t) = A(0)e^{-kt}

In which:

  • k is the decay rate, as a decimal.
  • A(0) is the initial amount.

The half-life is of 8 days, hence A(8) = 0.5A(0), and this is used to find k.

A(t) = A(0)e^{-kt}

0.5A(0) = A(0)e^{-8k}

e^{-8k} = 0.5

\ln{e^{-8k}} = \ln{0.5}

-8k = \ln{0.5}

k = -\frac{\ln{0.5}}{8}

k = 0.08664339757

Hence:

A(t) = A(0)e^{-0.08664339757t}

The time it takes for 80% of the material to decay it t for which A(t) = 0.2A(0), hence:

0.2A(0) = A(0)e^{-0.08664339757t}

e^{-0.08664339757t} = 0.2

\ln{e^{-0.08664339757t}} = \ln{0.2}

-0.08664339757t = \ln{0.2}

t = -\frac{\ln{0.2}}{0.08664339757}

t = 18.6

It takes 18.6 days for 80% of the material to decay.

To learn more about exponential functions, you can take a look at brainly.com/question/24906920

5 0
2 years ago
Consider the data points (–4, –14), (–2, –7), (0, –3), (2, –2), and (6, –6). Which type of function would best model the data se
Lunna [17]

The solution is attached as a word file

Download doc
3 0
3 years ago
Read 2 more answers
If there are 100 students in a Masters Degree program at OU, and there`s a 5% failure rate, how many students are left after 12
Leviafan [203]
5% fail
so 100-5=95% are left

percent means parts out of 100
95% of 100 is \frac{95}{100} times 100=95

95 students are left assuming that the 5% that fail fail within 12 months
5 0
2 years ago
The staff at Barnett Junior High School went from 40 to 29 employees during the pandemic. What is the percent decrease in staff?
steposvetlana [31]

Answer:

65% - 55%

Step-by-step explanation:

4 0
2 years ago
A cyclist averages 18.5 miles per hour. how many minutes will it take for him to complete a 125 kilometer race?
rjkz [21]
step 1
convert miles to km
1 mile is-----> 1.60934 km
18.5 miles/hour-----> 18.5*1.60934=29.77 km/hour

step 2
convert km/hour to km/minutes
29.77 km/hour--------> 29.77/60----> 0.4962 km/minutes

step 3
by proportion
0.4962 km/1 minutes=125 km/x minutes
0.4962 km----------> 1 minute
125 km-------------> x

x=125/0.4962----> x=251.91 minutes---------> x=251.9 minutes

the answer is
251.9 minutes

Alternative Method

step 1
convert km to miles
1 km is-----> 0.621371 miles
125 km-----> 125*0.621371--->77.67 miles

step 2
convert miles/hour to miles/minutes
18.5 km/hour--------> 18.5/60----> 0.3083 miles/minutes

step 3
by proportion
0.3083 miles/1 minutes=77.67 miles/x minutes
0.3083 miles----------> 1 minute
77.67 miles-------------> x

x=77.67/0.3083----> x=251.9 minutes

6 0
3 years ago
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