Molecules of a toxic chemical eventually decompose into inert substances. Suppose the decomposition time is exponentially distributed with a mean of 1/lambda. The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic. Find the half-life for chemicals whose molecules have an average decomposition time of

Answers

Answer 1

Answer:

a)4.15 years

b)22.18 years

c)188.53 years

d)3027.66 years

Step-by-step explanation:

Formula : [tex]P(X\leq t)=1-e^{\frac{-t}{\lambda}}[/tex]

So, [tex]P(X>t)=1-(1-e^{\frac{-t}{\lambda}})[/tex]

[tex]P(X>t)=e^{\frac{-t}{\lambda}}[/tex]

We are given that The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic i.e. P(X>t)=0.5

So, [tex]e^{\frac{-t}{\lambda}}=0.5[/tex]

Taking natural log both sides

[tex]ln(e^{\frac{-t}{\lambda}})=ln(0.5)\\\frac{-t}{\lambda}=ln(0.5)\\t=-\lambda ln(0.5)[/tex]

a)

[tex]\lambda =6[/tex]

t=-(6) ln(0.5)=4.15 years

b)

[tex]\lambda =32[/tex]

t=-(32) ln(0.5)=22.18 years

c)

[tex]\lambda =272[/tex]

t=-(272) ln(0.5)=188.53 years

d)

[tex]\lambda =4368[/tex]

t=-(4368) ln(0.5)=3027.66 years


Related Questions

Find an equation of the line perpendicular to the graph of 10x - 5y = 8 that passes through the point at (-4, 7).
y = 2x + 5
a.
C.
1
•x-5
y =
b.
d.
1
y = -x + 5
2
1
y = --X + 5
Please select the best answer from the choices provided
A
B
ОООО
C
D

Answers

Answer:

Step-by-step explanation:

you want a line with slope = -1/2

So, using the point-slope form of the line,

y-7 = -1/2 (x+4)

y = -1/2 x + 5

Hard to tell what your choices are ...

Determine the slop of the linear function

Answers

Answer:

y = 5x.

Step-by-step explanation:

Read the table from top to bottom.  You'll see that each time x increases by 1, y increases by 5.  We know immediately that the slope of this line is m = rise/run = 5/1 = 5.

Using the first point (2, 10), we see that y = 10 when x = 2.  Fit this info into the slope-intercept form of the equation o a straight line:

y = mx + b becomes 10 = 5(2) + b, or b = 0, and the final equation is y = 5x.

What is the equivalent ratio for 19:7?

Answers

Answer:

Fraction form it is 2 5/7 decimal form it is ~ 2.7143

Step-by-step explanation:

pls help me on this question it is geometry​

Answers

Answer:

Contrapositive

Step-by-step explanation:

Original Statement: if p then q

Negation: not p

Contrapositive: if not q then not p

Inverse: if q then p

Converse: if not p then not q

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

-6 duh its easy right

Step-by-step explanation:

The blue dot represents -6.

what is the meaning of this symbol^​

Answers

Answer:

[tex]superscript, \:used\: to\: raise\: objects\: to\: power[/tex]

which relation is a function. ( I chose option D) but not 100% sure. Need help ASAP. Will Mark Brainlest. ​

Answers

It is C (the one on the bottom left) because none of the X-values are used twice. On all the others their X-values are used more then once.

f(x)=3x^2+6x-18 , find f(10)

Answers

Answer:

f(10)=342

Step-by-step explanation:

f(10)= 3(10)^2+6(10)-18

complete your exponet first and multiply 6(10)

f(10)=3(100)+60-18

multiply the 3(100)

f(10)=300+60-18

add and subtract all the numbers together

f(10)=342

(8x^3+4x^2+x)-(2x^3+x^2+x)

Answers

Answer:

6x^3+5x^2+2x

Step-by-step explanation:

The measure of an angle is 53.8°. What is the measure of its complementary angle?

Answers

Step-by-step explanation:

Complementary angles means that the angles should add up to 90°.

let the complementary angle of 53.8° is x°.

So,

53.8° + x° = 90°.

x° = 90°-53.8°

x = 36.2°

pls help i’m not sure how to do thhis

Answers

A and E please correct me if i am wrong :)

Answer:

I would say that shape E  and A has symmetry.

Step-by-step explanation:

The line of symmetry means that on both sides of the shape from the middle part, it is equal. For example, a square has symmetry because it is equal when you split in in half.

If you were to rotate E and A a little, the slice it in half, it is equal on both sides, thus having symmetry.

What is the answer 2x3-5+7=

Answers

Answer:

300000000

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Hope this helps :)

Brainest pls?

can someone solve, the answer is in the double form something

Answers

Answer:

See Below

Step-by-step explanation:

(x-3)-2 ≤ 1                                              (x-3)-2 ≥ -1

      +2  +2                                                    +2  +2

x-3 ≤ 3                                                x-3 ≥  1

+3   +3                                                 +3  +3

x ≤ 6                          and                       x ≥ 4

Watch help Video
Combine like terms.
3y +6+ 2y - 3 - 6y^2+ 7y^2– 4
Answer:
Submit Answer

Answers

Answer: 5[tex]y[/tex] − 1 + [tex]y^{2}[/tex]

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below. Thank you!

Step 1: Collect like terms.

(3[tex]y[/tex] + 2[tex]y[/tex]) + (6 − 3 − 4) + (-6[tex]y^{2}[/tex] + 7[tex]y^{2}[/tex])

Step 2: Simplify.

5[tex]y[/tex] − 1 + [tex]y^{2}[/tex]

~I hope I helped you! :) Good luck!~

Answer:

Step-by-step explanation:

Here you go mate

step 1

3y +6+ 2y - 3 - 6y^2+ 7y^2-4  equation

step 2

3y +6+ 2y - 3 - 6y^2+ 7y^2-4  simplify

3y+6+2y+(-3)+(-6y^2+)7y^2+(-4)

step 3

3y+6+2y+(-3)+-6y^2+7y^2+(-4)  combine the terms that are alike

step 4

(-6y^2+7y^2)+(3y+2y)+(6+(-3)+(−4))

answer

y^2+5y+−1

Could anyone be willing to help me with any of these 3 questions? :)

Answers

Answer:

X is 70

Y is 110

Z is 30

Step-by-step explanation:

Because a trangle have 180 degree inside

Answer:

Step-by-step explanation:

second one - for this one you would do 90 +30 = 120

then take this from 180 to get 60  . so if you can see  that  the shape is an f but that's if you take away the sides with the right angles . the corresponding angle rule (you can see an F shape) means that the angle that i just worked out is the same as angle c so angle c=60

third one - for this one do  70+30  then take this answer away from 180

that angle x

the rule for angle y is the vertically opposite angle rule   - angle s that are vertically opposite are the same  angle y= angle x - same angle


Please help,
Determine which is the graph of the given function. f(x) 2x if < - 2 2x - 2 if - 2 < x < 2 -2 if x > 2​

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

HELP PLZ!!! IM RUNNING OUT OF TIME!!! 100PTS!!!

What is the slope of the line passing through the two given coordinates: f(0) = 3, and f(2)=11. Round your answer to the nearest integer.

Answers

Answer:

the slope is 2/11 pls give me brainliest cause I gave you the actual answer and didnt use u for points

Can Anyone help me this is my last question for webwork?

Answers

9514 1404 393

Answer:

maximum: 12at x = 0

Step-by-step explanation:

The x-term has even degree so is never negative. The x-term is subtracted from 12, so the maximum value of the function will be found where x=0. That value is 12 -0 = 12.

  f(0) = 12 . . . . absolute maximum

Answer:

The function [tex]f(x)=12-6x^4[/tex] has an absolute maximum value of [tex]12[/tex] and this occurs at [tex]x $\ equals 0.[/tex]

Step-by-step explanation:

The maximum value of this function is at 12, because if you rewrite this function:

[tex]f(x)=-6x^4+12[/tex]

The +12 is the k-value (the graph of this function is a parabola) of the vertex form of a quadratic. Just a reminder:

Vertex form of a parabola:

[tex]a(x-h)^2+k[/tex]

You can see the 12 is the k-value. The k-value of the vertex form is the vertical shift of the parabola, meaning that this parabola is shifted 12 units upwards.

Since the parabola opens down (you can tell by the negative a-value [tex]-6[/tex]), there is a maximum value at the k-value, i.e. the vertical shift.

[tex]f(x)=-6x^4+12[/tex] has an absolute maximum value of [tex]12[/tex].

To find where the maximum value occurs at, the formula:

[tex]-\frac{b}{2a}[/tex]

Tells us the x-value of the vertex of the parabola, whose y-value is the maximum value.

Using our rearranged equation, the a, b, and c-values are:

[tex]a=-6[/tex][tex]b=0[/tex][tex]c=12[/tex]

Plug in the a and c values into the formula to find the x-value of the maximum point:

[tex]-\frac{b}{2a}[/tex][tex]-\frac{(0)}{2(-6)}=0[/tex]

Therefore, the absolute maximum value of 12 occurs at x = 0.

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

20

Step-by-step explanation:

every line is a multiple of 2.

Answer:

The answer is 20

Step-by-step explanation:

The first line is 0 then is goes by two

0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

Solve this problem. 74-4^3+6= *

Answers

Answer: The answer is 16

Step-by-step explanation:

16

74-4^3+6

=74-64+6

=10+6

=16

(6*10^3)(2*10^5)
HELP please

Answers

Answer:

(216000)(3200000)

Step-by-step explanation:

6*10=60

60*60*60=216000

2*10=20

20*20*20*20*20=3200000

rjfkdmfmfmfmfmggmgm​

Answers

Answer:

same

Step-by-step explanation:

7th grade math help me plzzzz

Answers

Answer:

The bottom left option

Step-by-step explanation:

The answer is equal to 44.

Answer:

bottom left

Step-by-step explanation:

(-2)2+3 × (-5)
please helpe me answer this question

Answers

Answer:

(−2)(2)+(3)(−5)

=−19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

(-2)2 + 3 * (-5)

-2 * 2 = -4

3 * -5 = -15

-4 + -15 = -19

can someone please help me

Answers

Answer:

what do you need?

Step-by-step explanation:

Answer:

The first is

Basketball : 2

Football :0

Nd da 3rd one (donno da name) : 4

Step-by-step explanation:

Please mark as brainliest

A bag contains 13 cups of cat food. Your cats eat 1 1/2 cups of cat food each day .Is there enough to last 2 weeks

Answers

no there is not enough 2 weeks is 14 days and the bag contains 13 cups and the cat eats more than 1 cup per day

Can you guys help me to find the measure of each angle tysm.

Answers

Answer:

∠EBF = 51°

∠DBE = 17°

∠ABF = 141°

∠EBA = 90°

∠DBC = 107°

∠DBF = 68°

Step-by-step explanation:

Hope this helps

Answer:

1.

a. m<EBF = 90 - 39 = 51

b. m<EBA = 90

c. m<DBE = 90 - 73 = 17

d. m<DBC = 90 + 17 = 107

e. m<ABF = 90 + 51 = 141

f. m<DBF = 17 + 51 = 68

2.

<ABD, <DBE, <EBF, <FBC, <DBF

3.

<ABF, <DBC

4.

<ABE, <EBC

Pls answer these correctly I need it ASAP

Answers

Simply ask your parents or someone to help you your welcome.

Which is the best estimate of the product of 0.39 x 0.49?

0
0.25
0.5
1

Answer fast!! :c

Answers

Answer:

0.25 or b is the correct answer

Simplify square root -200

Answers

Answer:

10 i sqrt 2

Step-by-step explanation:

i indicates that it is an imaginary number. this is because 200 is negative.

The simplified form of the given square root number is 10i√2. Therefore, the correct answer is option D.

The given square root number is √-200.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

Here, 200 = 2×2×2×5×5

Thus, √-200=√-2×2×2×5×5

=2×5×i√2

= 10i√2

Therefore, the correct answer is option D.

To learn more about the square root of a number visit:

https://brainly.com/question/8971086.

#SPJ6

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