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Genrish500 [490]
2 years ago
14

A radioactive compound with mass 470 grams decays at a rate of 3% per hour. Which

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
3 0

After 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.

<h3>What is exponential decay?</h3>

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We know the decay can be as:

\rm C = a(1-r)^t

We have:

a = 470 grams

r = 3% = 0.03

t = 6 hours

\rm C = 470(1-0.03)^6

C = 391.49 grams

Thus, after 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.

Learn more about the exponential decay here:

brainly.com/question/14355665

#SPJ1

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What is typically used to quantitatively compare the effectiveness of layouts? A. trial and error B. load-distance model C. expo
Andre45 [30]

Answer:

B. load-distance model

Step-by-step explanation:

A. trial and error

Trial and error is "a fundamental method of problem solving. It is characterised by repeated, varied attempts which are continued until success". But this method is not the best in order to compare effectiveness of layouts

B. load-distance model

The load-distance method is a "mathematical model used to evaluate locations based on proximity factors. The objective is to select a location that minimizes the total weighted loads moving into and out of the facility. The distance between two points is expressed by assigning the points to grid coordinates on a map". And that's the correct option since we are trying to measure the effectiveness of layouts quantitatively.

C. exponential smoothing

This is "a rule of thumb technique for smoothing time series data using the exponential window function". Wheighting observations using the exponential function. But this is a techinique used to smooth s time series not to compare effectiveness of layouts.

D.process control charts

The Control Chart is a "graph used to study how a process changes over time with data plotted in time order". But we don't want to see how the process changes the objective is quantitatively compare the effectiveness of layouts, and this one is not the best option for this.

E. mean absolute deviation (MAD)

The median absolute deviation(MAD) is "a robust measure of how spread out a set of data is. The variance and standard deviation are also measures of spread, but they are more affected by extremely high or extremely low values and non normality". But again is just a measure of spread and not allow to compare effectiveness of layouts.

8 0
3 years ago
Cuanto es (2x+2y=20) (-2x-6y=-52) con método de igualación y método de suma y resta
Nataly_w [17]

x =2       y =8

2x + 2y=20

2x=20-2y

x=10-y

Ahora len la otra ecuacion remplazamos x por (10-y)

-2(10-y)-6y=-52

-20+2y-6y=-52

2y-6y= -32 (-52+20= -32)

-4y=-32

-y=-8

y=8            x=10-y  x=2

2*2+2*8=20

4+16=20

-2*2-6*8= -52

-4-48= -52


6 0
3 years ago
Louren measures the distance around her circular mirror to
Veseljchak [2.6K]

Answer:

53 cm.

Step-by-step explanation:

Circumference = pi times diameter

We are trying to find diameter so rearrange

Circumference/pi = diameter

166.5/pi = 52.998596

Approximately 53 centimeters of lace

3 0
3 years ago
2+3×2 = Α <br><br> what is ath ansewer
lawyer [7]

Answer:

8

Step-by-step explanation:

2+(3×2)=2+6=8

3 0
3 years ago
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Lucid can walk about 3 4/5 miles each hour. about how far can she walk in 2 hours and 45 minutes
juin [17]

Answer:

9.31

Step-by-step explanation:

Distance = 3 ⅘ x 2.45

3 ⅘ = 3.8

3.8 x 2.45 = 9.31

4 0
2 years ago
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