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bezimeni [28]
3 years ago
13

) If the half-life of 238Pu is 87.7 yr, write a function of the form =QtQ0e−kt to model the quantity Qt of 238Pu left after t ye

ars. Round the value of k to five decimal places. Do not round intermediate calculations.
Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0

Answer:

0.079

Step-by-step explanation:

According to the given situation, the calculation of the value of k is presented as follows:

Q(t)= Q_0e^{-kt}\\\\ 0.5Q_0 = Q_0e^{-k(97.7)}\\\\ 0.5 = e^{-k(87.7)}

now,

k = \frac{In0.5}{-87.7}

After solving the above equation we will get the value of k.

= 0.079

Therefore for determining the value of k we simply solve the above equation i.e. by considering all the information mentioned in the question

You might be interested in
The price of Stock A at 9 A.M. was ​$12.79 Since​ then, the price has been increasing at the rate of ​$0.11 each hour. At noon t
gayaneshka [121]

Answer:

2.174 hours

Step-by-step explanation:

Let the number of hours be represented as:

x

The price of Stock A at 9 A.M. was ​$12.79 Since​ then, the price has been increasing at the rate of ​$0.11 each hour.

$12.79 + $0.11 × x

12.79 + 0.11x

At noon the price of Stock B was ​$13.29 It begins to decrease at the rate of ​$0.12 each hour.

$13.29 - $0.12× x

13.29 - 0.12x

Equating both equations together

Stock A = Stock B

12.79 + 0.11x = 13.29 - 0.12x

Collecting like terms

0.11x + 0.12x = 13.29 - 12.79

0.23x = 0.5

x = 0.5/0.23

x = 2.1739130435 hours

x = Approximately = 2.174 hours

If the two rates​ continue, the number of hours that the prices of the two stocks will be the​ same is 2.174 hours

5 0
3 years ago
Please guysss help me with this question!!!!!
Masja [62]
Its D) amplitude=2 and midline y=2
3 0
3 years ago
Zoom in to see more clear :)
algol13

Answer:

1) x=30 degrees

2)y=20 degrees

1) 3x+2x+1x= 6x (a triangle is normally 180 degrees) 180 divide 6=30 (this is because 6 Xs make up the triangle)

2) 2y+5y+5+y+15= 8y+20, (since a triangle has 180 degrees) 8y+20=180 (-20 from both sides) 8y=160, 160 divide 8=20

(I hope this makes sense)

5 0
3 years ago
Which value is a solution of the equation 3-2x=-5<br> A= 2<br> B= 4<br> C= -2<br> D= 1/5
Ad libitum [116K]
3 - 2x = -5
-2x = -8
x = 4
6 0
3 years ago
Read 2 more answers
PLEASE HELP ME! IT WOULD BE VERY MUCH APPRECIATED!
shusha [124]

Answer:

A

Step-by-step explanation:

common ratio of 0.5.

hmu for more

7 0
3 years ago
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