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anzhelika [568]
3 years ago
15

An element with mass 430 grams decays by 27.4% per minute. How much of the element is remaining after 19 minutes, to the nearest

10th of a gram?
Mathematics
1 answer:
nadya68 [22]3 years ago
7 0
The equation for exponential decay is y=a*b^x, where <em>a</em> is the initial amount, <em>b</em> = 1 + <em>r</em> (the growth rate as a decimal number) and <em>x</em> is the number of time periods (in this case, minutes).  Substituting the information we have:
y=430(1+-0.274)^1^9&#10;\\=430(1-0.274)^1^9&#10;\\=430(0.726)^1^9=0.98.  To the nearest tenth of a gram, this would be 1.0 grams.
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Given the following table, determine the missing value.
sergeinik [125]
We know that
Based on the table
Percent%=[1-Decay factor]*100%
so

for decay factor=0.98
Percent%=[1-0.98]*100%----> 2%

for decay factor=0.50
Percent%=[1-0.50]*100%---->50 %

for decay factor=0.64
Percent%=[1-0.64]*100%----> 36%

for decay factor=0.23
Percent%=[1-0.23]*100%----> 77%

therefore

the answer is
36%

6 0
3 years ago
-2(-5x+5) - 3x + 4= -34 solve for x
geniusboy [140]

Answer:

x = -4

Step-by-step explanation:

-2(-5x+5) - 3x + 4= -34

10x - 10 -3x + 4 = -34

7x - 6 = -34

<u>     +6    + 6</u>

7x = -28

x = -4

4 0
2 years ago
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Compute the probability that exactly 8 of the 20 internet browser users use chrome as their internet browser (to 4 decimals). fo
dybincka [34]

Answer:

2.4%

Step-by-step explanation:

We make use of the binomial probability equation, which is as follows:

P = [n! / (n - r)! r!] p ^ r * q ^ (n - r)

where,

n total number samples = 20

r is the selected number = 8

p, sin este valor no se puede realizar el ejercicio y no lo mencionas, pero encontré una pregunta igual y era de 20.37%, es decir 0.2037

q = 1 - 0.2037 = 0.7963

reemplazando:

P = [20! / ((20 - 8)! * 8!)] * [0.2037 ^ 8 * 0.7963 ^ (20 - 8)]

P = 125970 * 1.92685405*10^-7

P = 0.024 = 2.4%

5 0
3 years ago
Answer this by 4:20 EST and I will mark brainliest
Alexxandr [17]

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )

m = \frac{-4-a}{9-6} = \frac{-4-a}{3}

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide through by - 3 )

y = \frac{2}{3} x - 2 ← in slope- intercept form

with slope m = \frac{2}{3}

Parallel lines have equal slopes , then

\frac{-4-a}{3} = \frac{2}{3} , so

- 4 - a = 2 ( add 4 to both sides )

-a = 6 ( multiply both sides by - 1 )

a = - 6 → A

8 0
2 years ago
If I started a test at 4:36 and was done at 5:11 how long did it take me
mr Goodwill [35]

Answer: 75 min

Step-by-step explanation:

4 0
3 years ago
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