Twelve pounds of the element plutonium is released in a nuclear accident. The amount of plutonium P that is present after t months is given by P(t)=12e^-0.1507t. What amount of plutonium remains after 36 months? Round to two decimal places.

Answers

Answer 1

The amount of Plutonium that remains after 36 months is 0.05

The equation for the amount of Plutonium after t months is

[tex]\mathbf{P(t) = 12e^{-0.1507t}}[/tex]

After 36 months; we have: t = 36.

Substitute 36 for t in P(t).

So, we have:

[tex]\mathbf{P(36) = 12e^{-0.1507 \times 36}}[/tex]

Simplify the exponent

[tex]\mathbf{P(36) = 12e^{-5.4252}}[/tex]

Evaluate the exponent

[tex]\mathbf{P(36) = 12 \times 0.004404}[/tex]

Multiply

[tex]\mathbf{P(36) = 0.052848}[/tex]

Approximate to 2 decimal places

[tex]\mathbf{P(36) = 0.05}[/tex]

Hence, the amount that remains is 0.05

Read more about exponential functions at:

https://brainly.com/question/11487261


Related Questions

PLEASE HURRY!! (No links)

Solve the inequality

−2 (k − 5) < −2k + 2

Answers

Answer: simplify 0<-8 no solution

Step-by-step explanation:

find the lengths of lien segments AC & CB

Answers

Answer:

AB = 28cm

point C partitions AB into a ratio 1:3

they say to find the lengths of AC and CB

Usually in maths questions like this look at the order of things placed. Meaning…

ratio — 1:3

find — AC and CB

1 — AC

3 — CB

so now we know

1:3

AC:CB

1+3 = 4

28/4 = 7

7*1 = 7 = AC

7*3 = 21 = CB

Which (I believe) is the second option

a submarine is submerged to a depth of 650 feet below sea level the ascends 225 feet. Determine the current position of the submarine

Answers

Answer:

Step-by-step explanation:

Ascending means moving towards the surface.

So the submarine is 340 feet below sea level.

The submarine ascends 76feet.

340

76

=

264

f

e

e

t

below sea level.

Answer: 425 feet

Step-by-step explanation:

650 - 225 = 425

ascend is positive

650 is technically negative

The figure below is a prism with a right-triangle base.
What is the surface area of the figure?
Help me please

Answers

it would be answer 3. sorry if it’s wrong

ANSWER USING STEPS: find the inverse function of y=-5x-7

Answers

the inverse of y is =x+7

Step-by-step explanation:

y=5x-7

then solve for x

5x=y+7

x=(y+7)/5

then exchange x with y

y=(x+7)/5

The inverse of the given function is expressed as:

-(x + 7)/5

How to find the inverse of the function?

The given function is expressed as:

y = -5x - 7

Replacing y with x and vice versa gives us:

x = -5y - 7

Add 7 to both sides gives:

x + 7 = -5y

divide both sides by -5 gives us:

-(x + 7)/5 = y

Thus, we conclude that the inverse of the given function is expressed as:

-(x + 7)/5

Read more about Inverse of Function at: https://brainly.com/question/3831584

#SPJ3

find the volume……,,..,,,,,…,,,,..

Answers

Answer:

I am pretty sure the answer is 27.02.

Step-by-step explanation:

Hope this helps!

A line with a slope of

1
8
passes through the points (4,

7) and (

4,k). What is the value of k?

Answers

Answer: k = 7

Explanation:
(4,k) has the exact same x value as (4,7). Therefore, k = 7 since they are on the same line.

it is predicted that by 2050 there will be 10^10 people living on earth. approximatrly will be 10^12 trees. how many trees for each person?


Answers

Interesting question. Does that mean near the end of humanity?

Solution 1:

10^10 = 1,000,000,000

10^12 = 100,000,000,000

100,000,000,000/1,000,000,000 = 100 trees per person

Solution 2:

10^12 / 10^10  ---  10^10 / 10^10

10^2/1 = 10^2 = 100 trees per person

Set A contains all prime numbers squared. Set B contains all multiples of 4. How many numbers are in the intersection of Set A and Set B

Answers

Answer:

The intersection operation is denoted by the symbol ∩. The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B. Thus, the intersection of the two committees in the foregoing example is the set consisting of Blanshard and Hixon.

Each square below represents one whole …. What percent is represented by the shaded area?

Answers

50%
we see that one half of the square is shaded. therefore that’s 1/2. and to cover to a percentage, we multiply the fraction by 100%!

therefore: 1/2 x 100%= 50%

hope this helped❤️

Answer:

50%

Step-by-step explanation:

The diagonal line divides the square in half

I hope this help you

HELP ME OUT PLEASE!

How many total atoms of Nitrogen are shown in the formula below?

O 2

O 4

O 6

O 8​

Answers

Answer:

A) 2

Step-by-step explanation:

It shows it in the formula.

PLEASE HELP ME IN THIS, THIS ASSIGNMENT IS DUE IN 4 MINUTES, ITS A 6TH GRADER QUESTION

Answers

Answer:

3

Step-by-step explanation:

jesushhhh

The answer is three
.........

A rope is 225 centimeters long.
You need the rope to be 1.5 meters long.
How many centimeters should you cut off?

Answers

Answer:

1.5 meters = 150 centimeters (multiply by 100)

Therefore, you should cut off [tex]225-150=75[/tex] centimeters.

The fourthgrade students are taking a field trip and need to rent minivans Each minivan will to 8 people There are 135 people going on the trip. How many people will not be able to go if they only rent 16 minivans?
(A) 6 people
(B) 7 people
(C) 8 people
(D) 9 people​

Answers

The answer is 9 because 135 divided by 8 is 16.875 and if they only rent 16 minivans that leaves .875 round it up it is 9

Which humanist idea was inspired by ancient Greeks and Romans?
O The government should protect the rights of citizens.
O People should have a say in how their churches are run.
O Formal education is the best way to improve people's lives.
O People can understand the world by using logic and reason to study it.

Answers

Answer:

the answer is c

Step-by-step explanation:

its the right answer lol

Answer:

(C) Formal Education is the best way to improve people's lives

Personally I thought it was (D) but now that I think about it...well yeah

Please answer the question in the image

Answers

Answer:

I don't know i just need the points

42. A football team is at its own 25-yard line. In the next three plays, it loses an average of 4 Yards per play. Where is the team after the three plays?

Answers

13 yard line!
4 yards per play * 3 plays = 12 total yards lost
25 - 12 = 13

The circumference of a circle equals 2 r, where r is the radius. Find
the circumference of a compact disc that has a radius of 6.0 cm

Answers

Answer:

The answer is 37.68 or 37.7

Step-by-step explanation:

What you have to do first is find the diameter. So you have to multiply the radius (r) by 2 to get the diameter. 6 times 2 is 12. After that you, will multiply 12 by pi, or 3.14 to get 37.68

6+13+20...+(7n-1) Find the sum.

Answers

Answer:

2.5n+3.5n^2

Step-by-step explanation:

(6+7n-1)*n/2=2.5n+3.5n^2

Can 4x + 10 can be simplified to 14x?

Answers

Answer:

NO

Step-by-step explanation:

“PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction)

so you need to sole 4x and after add 10

The answer would be “No” it cannot be simplified .

someone help please!!

Answers

Answer:

a - 145

b - 35

c - 145

d - 70

e - 70

f - 110

g - 55

h - 125

i - 55

j - 50

k - 50

l - 130

m - 50

n - 80

o - 50

p - 23

q - 89

r - 68

s - 157

t - 112

u - 48

v - 132

w - 132

x - 48

y - 48

z - 132

A - 48

B - 94

C - 86

D - 94

E - 47

F - 133

1
Show that the matrix C = -2
- 2 3
4-5
--5 6
is symmetric.
3

Answers

-4-5 to the matrix 54 can symmetric to 3 aswell as other numbers

(x+5)(x-5) factoring

Answers

Answer: x² - 25

Step-by-step explanation:

Do you mean expanding, if so

The answer will be x^2-25+5x-5x

So that factorised is x squared -25

Use a protractor to measure the
angle. Then identify it as either
acute, right, obtuse, or straight.
Name
Size

Answers

Answer:

Straight angle 180 degrees

please work QUICK its a test​

Answers

If you’re solving for d, it would be d = 10-3i

If two events (both with probability greater than 0) are mutually exclusive, then:

Answers

Answer:

they are not independent

Step-by-step explanation:

they are not independent they would be independent if they didn't depend on each other or if the probability didn't affect the other.

Every weekday the nursery buys enough milk for 37 children to have 250ml of milk each. An additional two pints per day is bought for the staff.

The milk comes in 4-pint cartons. The price of a carton of milk has increased by 10p.

How much more will the nursery pay for milk each week?

1 litre = 1.76 pints

Answers

Answer:

238.5p or 2.385 pounds per week

Answer: Please ignore the other answers.

Step-by-step explanation:

We stopped using half-pennies in the UK over 50 years ago.

I'm a tutor on the course this is on and I am sick of learners copying this incorrect answer.

2/-2.5+4.1+1.2(3+6)/-0.1

Answers

Answer:

-104.7

Step-by-step explanation:

2 : (-2.5) + 4.1 + 1.2 * (3+6) : (-0.1 ) =

-0.8 + 4.1 + 10.8 : (-0.1) =

-0.8 + 4.1 + (-108) =

3.3 - 108 =

-104.7

Solve for C:
Spam: deiodhwidweiudjegydjwe

Answers

Answer:

[tex]C=\frac{5F-160}{9}[/tex]

Step-by-step explanation:

Let's solve for C.

[tex]F=\frac{9C}{5}[/tex]

Step 1: Flip the equation.

[tex]\frac{9}{5} C+32=F[/tex]

Step 2: Add [tex]-32[/tex] to both sides.

[tex]\frac{9}{5} C+32+-32=F+-32[/tex]

[tex]\frac{9}{5}C=F-32[/tex]

Step 3: Divide both sides by [tex]\frac{9}{5}[/tex].

[tex]\frac{\frac{9}{5}C}{\frac {9} {5}}=\frac{F-32}{\frac{9}{5} }[/tex]

[tex]C=\frac{5F-160}{9}[/tex]

Answer:

[tex]C=\frac{F-160}{9}[/tex]

If you can do your homework at a rate of 2.6 minutes for every problem, how many problems could be done after 1.78 hours? Round to a whole number.

Answers

Answer:

41

Step-by-step explanation:

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