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 help. 7th grade homework. All of these has to be turned in by tomorrow morning.

Answers

Here are the answers;

The first photo: -47/20

The second photo: I can’t really see the photo, sorry!!

The third photo: For a it is 11/2 and for b it is -1/2.


The fourth photo:
I don’t really know what number 6 is asking? The one you circled. Where is the diagram?

tiana car traveled 111 miles on 3/8 1/2 hot dogs in 3 3/4 minutes. how many dogs did he eat in one minute

Answers

Use a proportion:

111/( 3/8) = x/ 1

Cross Multiply

(3/8)x = 111

Multiply both sides by 8/3 ; reciprocal

x = (8/3) (111)

x = 296 miles

You have a summer job that pays time and a half for overtime. That means if you work more than 40

hours in a week, your hourly wage for the extra hours is 1.5 times your rate of $12 per hour.

Write a piecewise function describing your weekly pay, P, in terms of the number of hours worked, h.


How much will you get payed if you work 47 hours?

Answers

Answer:

$522

Step-by-step explanation:

Write an equation of the line in slope-intercept form.

Answers

Answer:

y = x + 4

Step-by-step explanation:

From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).

slope = m = rise/run = 1/1 = 1

The y-intercept is b = 4

y = mx + b

y = x + 4

Find the volume of a cylinder either enter. An exact answer in terms of pie or 3.14 please help me

Answers

128 pi

To find the area of a cylinder, we multiply the area of the base times it’s height. For a cylinder the base is a circle so we use
pi r^2 to find it. In this problem the radius or r = 4 so the area of the base equals 16 pi. The height is 8. So we multiply these two to get the answer of 128 pi

if Vera is 3 times as old as Zoe and 2 times as old as Paul. And the sum of their ages is 33. what is Zoe's age?​

Answers

Answer:

Zoe is 6 years old.

Step-by-step explanation:

Vera - V

Zoe - Z

Paul - P

V = 3Z

Z = [tex]\frac{1}{3}V[/tex]

V = 2P

P = [tex]\frac{1}{2}V[/tex]

V + Z + P = 33

[tex]V + \frac{1}{3}V + \frac{1}{2}V = 33[/tex]

[tex]\frac{6}{6} V + \frac{2}{6}V + \frac{3}{6}V = 33[/tex]

[tex]\frac{11}{6}V = 33[/tex]

[tex]V = 33 * \frac{6}{11}[/tex]

[tex]V = 3 * \frac{6}{1}[/tex]

[tex]V = 18[/tex]

V = 3Z

18 = 3Z

Z = 6

Pls answer the rest for me I’ll give you brainilist

Answers

Answer:

29 x 8 = 191

62 x 19 = 1,178

8.7 x 12 = 104.4

11.9 x 4 = 47.6

45 x 6 = 270

Pls help meeee the question is in the photo pls no links or fake answers pls answer both questions

Answers

Answer:

Step-by-step explanation:

First one is TRUE...you'd multiply by negative one third

Second is FALSE...no multiplication needed to get x as a positive.

five friends get together to have a thanksgiving dinner. roger, ted, tom, pam, and donna brought (in no particular order) turkey, salad, dressing, peas, and potatoes. each item was brought on a different colored plate (no particular order) white, purple, black, green, and pink.
- no food begins with the same letter as the name of the person who brought it
- the dressing was not brought by tom or pam
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
- neither rogers plate nor teds plate was purple and the peas were also not brought on the purple plate
- toms food and the food on the pink plate are not peas or potatoes
- donna did not bring the black plate

try to determine the kind of food each person brought and what color plate it was on

Answers

Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.

To determine the kind of food each person brought and what color plate it was on, the following reasoning must be performed:

- no food begins with the same letter as the name of the person who brought it  

Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger, Ted, Tom or Pam Peas = Roger, Ted, Tom or Donna Potatoes = Roger, Ted, Tom or Donna  Green plate = Roger, Ted, Tom, Pam or Donna Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna

- the dressing was not brought by Tom or Pam  

Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Roger, Ted, Tom or Donna  Green plate = Roger, Ted, Tom, Pam or Donna Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna

- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter  

Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Ted or Tom  Green plate = Ted or Tom Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna

- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate  

Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Ted or Tom  Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna

- Tom's food and the food on the pink plate are not peas or potatoes  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger or Pam

- Donna did not bring the black plate  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom or Pam Pink plate = Roger or Pam

- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted Purple plate = Tom or Donna White plate = Roger, Tom, Pam or Donna Black plate = Roger, Tom or Pam Pink plate = Roger or Pam

- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted Purple plate = Tom White plate = Roger, Pam or Donna Black plate = Roger or Pam Pink plate = Roger or Pam

- Tom's food and the food on the pink plate are not peas or potatoes  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted Purple plate = Tom White plate = Donna Black plate = Pam Pink plate = Roger

Therefore, Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.

Learn more in https://brainly.com/question/9149540

Find the amount of sales tax for a board game that costs $25.00 at a 7% tax rate

A.$1.75

B.$2.00

C.$2.50

D.$5.00

Answers

To find the tax we have to multiply the percent by the cost.

Remember that in order to do this we need to convert the 7% into a decimal, which means we need to divide it by 100.

7 / 100 = .07

Now lets multiply:

25 * .07 = 1.75

This means that our sales tax is A) $1.75.

I hope this helps! :)

QUESTION 7.1 POINT
Translate the given phrase into an algebraic expression and simplify if possible: the difference of -3 and the product of w
and 2

Answers

Answer:

-3 - (2w)

Step-by-step explanation:

hope this helps!

what is 4 1/6÷5 please help

Answers

Answer:

It is 5/6

Step-by-step explanation:

For questions like these use caculator soup you can use it for fractions and much more it shows u how to work the problem out also.

if 3r = 4s, then r/s = ?

Answers

Step-by-step explanation:

[tex]3r = 4s \\ r \div s = 4 \div 3 \\ \\ \\ \\ hope \: it \: helps.[/tex]

In the given question if if 3r = 4s, This means that r is four times greater than s.

The given equation is 3r = 4s. To find the value of r/s, we can divide both sides of the equation by s. Dividing both sides of the equation by s, we get: (3r) / s = (4s) / s On the right side, the s cancels out, leaving us with: (3r) / s = 4 So, the value of r/s is 4.

An equation is a mathematical statement that states that two expressions are equal. It contains an equal sign "=" and consists of two sides: the left-hand side (LHS) and the right-hand side (RHS).

In this case, r/s represents the ratio of r to s. It indicates how many times r is greater than s. For example, if r = 8 and s = 2, then r/s = 8/2 = 4. This means that r is four times greater than s.

To know more about equation here

https://brainly.com/question/29174899

#SPJ2

Which of the following statements best describes why the given expression is not simplified?
3x^2–2x+1 - 4x - 6

Answers

Answer:

3x²–6x–5

Step-by-step explanation:

3x²–2x+1–4x–6

collect like terms

3x²–2x–4x–6+1

3x²–6x–5

A statue in a harbor is approximately 295 feet tall. If the angle of the elevation of a ship to the top of the statue is 21.7 degrees, how far is the ship from the statue’s base?

Answers

Answer:

741.3 feet if rounding to the nearest tenth

Step-by-step explanation:

You will do 295/tan21.7 which gives you approximately 741.3 feet

How many solutions does this equation have

-4(5-3x)=12x+20
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

A) no solution

Step-by-step explanation:

It’s A Contradiction

Answer:

its one solution

Step-by-step explanation:

-20+12

Integer in algebra
Need help 9th grade

Answers

Answer:

4x + 10 >1

-10. -10

4x < -9

Step-by-step explanation:

make sure to make it less than or equal to

Hello how to solve this can anyone help

Answers

Step-by-step explanation:

f(1)= 1²+4×1=5

f(2)=2²+4×2= 12

f(3)=3²+4×3=21

domain

1,2,3

range

5,12,21

BEST ANSWER GETS BRAINLIEST!!!!
A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $31. For 5 pounds of trail mix and pounds of 2 jelly beans, the total cost is 12. Find the cost for each pound of trail mix and each pound of jelly beans.

Answers

Answer:

trail mix costs 1.00 per pound

jelly beans costs 3.50 per pound

Step-by-step explanation:

t = cost of trail mix

b = cost of jelly beans

3t+8b = 31

5t+2b = 12

Multiply the second equation by -4

-4(5t+2b = 12)

-20t+-8b = -48

Add this to the first equation

3t+8b = 31

-20t+-8b = -48

-------------------------

-17t = -17

Divide by -17

t = 1

Now we can find b

3t+8b = 21

3(1) +8b = 31

3+8b =31

Subtract 3

8b = 31-3

8b = 28

Divide by 8

b = 28/8

b = 7/3

b = 3.50

Let trail mix be x and jelly beans be y

The equations are

3x+8y=31-(1)5x+2y=12-(2)

Multiplying (1) by 1 and (2) by 4

3x+8y=31---(3)20x+8y=48--(4)

Subtracting

[tex]\\ \sf\longmapsto -17x=-17[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Putting in eq(2)

[tex]\\ \sf\longmapsto 5(1)+2y=12[/tex]

[tex]\\ \sf\longmapsto 2y=7[/tex]

[tex]\\ \sf\longmapsto y=7/2[/tex]

which option is correct?

Answers

Answer:

Option D

Step-by-step explanation:

It is a right triangle because AB ⊥ BC

Below is an excerpt from the home loan contract Kyle signed with his bank.

“The sum of the principal of the loan and all applicable interest will be divided into 360 monthly payments according to the amortization schedule.

The Buyer shall make each monthly payment by the first day of the month it is due. A payment not received by the first day of the month it is due will be considered delinquent. A payment not received by the fifteenth day of the month it is due will be subject to a late charge of $75.00. If a payment is not received by the last day of the month it is due, the Buyer and transaction shall be reported to the appropriate credit agencies.

In the event of delinquency, the Buyer may divide any payment not received into not more than three equal installments to be included on the next consecutive monthly payments. Notification of the Buyer’s intent to do so must be made by written letter or phone call to the phone number and address listed below within one business week of delinquency.”

Due to some changes at his job and the resulting loss of income, Kyle will not be able to make his monthly payment by the first of the month. He does expect to be able to make it by the 9th of the month. According to the contract, what does Kyle need to do?
a.
Other than pay the monthly payment, Kyle does not need to do anything.
b.
Notify the bank to let them know that his payment is going to be eight days late
c.
Divide this payment into three payments to be included in future monthly payments.
d.
Include an extra $75.00 with his payment to cover the late fee that will be assessed.

Answers

9514 1404 393

Answer:

  a.  Other than pay the monthly payment, Kyle does not need to do anything.

Step-by-step explanation:

If Kyle plans to make a payment by the 15th of the month, he need do nothing, except make the payment.

If he plans to divide the payment into 3 parts, he needs to contact the bank within a week of the first of the month. If he plans to make a payment after the 15th, he needs to add $75 to it for the late charge.

Answer:

i would think it would be [A Other than pay the monthly payment, Kyle does not need to do anything.]

Step-by-step explanation:

A banker estimated a customer's worth to be $127,000. The customer was actually worth $120,000.
Find the percent error.


A. 5.5%

B. 5.6%

C. 5.7%

D. 5.8%

Get 50 points for an answer and brainlyiest for explination

Answers

Answer:

B

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y-4x= -28

Answers

Answer:

[tex] \Large{\boxed{\sf y = x - 7}} [/tex]

[tex] \\ [/tex]

Explanation:

We are given a linear equation, and we would like to express it in slope-intercept form.

[tex] \\ [/tex]

[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope-Intercept \: Form \text{:}} \\ ~ \\ \tt y = mx + b \end{array} \right] } [/tex]

Where:

m is the slope of the line.b is its y-intercept.(x , y) is a point through which the line passes.

[tex] \\ [/tex]

Given linear equation:

[tex] \sf 4y - 4x = -28 [/tex]

[tex] \\ [/tex]

To find the slope-intercept form of the equation, we have to solve for y.

First, add 4x to both sides of the equation:

[tex] \sf \longrightarrow 4y - 4x + 4x = -28 + 4x \\ \\ \\ \longrightarrow \sf 4y = 4x - 28 [/tex]

[tex] \\ [/tex]

Then, divide both sides of the equation by 4:

[tex] \sf \longrightarrow \dfrac{4y}{4} = \dfrac{4x - 28}{4} \\ \\ \\ \longrightarrow \sf y = \dfrac{4x}{4} - \dfrac{28}{4} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf y = x - 7}} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

[tex] \\ [/tex]

▪️Learn more about the slope-intercept form here:

↣https://brainly.com/question/26163957

Given to us:–a line's equation in Standard Form

To find:–The equation in slope - intercept .

First , Add 4x to both sides :

➱ [tex]\sf{4y-4x=-28}[/tex]

➱ [tex]\sf{4y=-28+4x}[/tex]

Next , Divide all terms by 4 to get y all alone

➱ [tex]\sf{y=-7+x}[/tex]

Rearrange so that our result matches the format for slope - intercept :

➱[tex]\sf{y = x +7}[/tex]

Henceforth, Equation : y = x + 7 .

is 2k(2k-4) odd or even?

Answers

Answer: Even

Step-by-step explanation:

Because it shows that the is 2k

the even numbers 2k+2,2k+4,...,4k,4k+2

Gavin bought two iPhone Chargers. His reward card at the store Staples saved him $4. He only had to pay $16. How much money did each iPhone Charger cost?

Answers

Answer:

each item would be $10. hope this helps.

Step-by-step explanation:

Each charger costed $10.

The original total price of both of them was $20 (16+4). Then you divide 20 by 2 because he bought 2 chargers.

Given that angle a = 15° and angle b = 5°, work out x

Answers

this cant be all the question

The side of an equilateral triangle is 12. Its area is


Select one:
a. 72
b. 48
c. 144
d. 36 square root 3

Answers

A≈62.35

..................

1/2 x 12 x 12 x sin(60)
Answer is :
36 square root 3

(1 point)
Write the complex number z= -7-10i in polar form: z = r(cos (theta)+ i sin (theta)) where r= and 0 =
The angle should satisfy 0<=theta<=2pi

Answers

Answer:

When a complex number z is written in its polar form,z = r(cos theta + i sin theta), the nonnegative number r is called the magnitude, or modulus, of z.

In mathematics, magnitude is the size of a mathematical object, a property by which the object can be compared as larger as or smaller than other objects of the same kind. More formally, an object's magnitude is an ordering (or ranking) of the class of objects to which it belongs.

I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

PLS HELP I NEED THIS DONE TODAY PLSSS WILL GIVE BRAINLY

Answers

Answer:

You need 6 lbs of red potatoes

32oz of cream cheese

43oz cream of potatoe soup

Step-by-step explanation:

Multiply all by 4


Select the correct answer.
When graphing an inequality, the boundary line needs to be graphed first. Which graph correctly shows the boundary line of the inequality?
y <1/3x+ 1

Answers

Answer:

C is the correct boundary line

Step-by-step explanation:

Answer:

It's so late but give that person they brainliest

Step-by-step explanation:

Other Questions
Lillian misses 10% of the free throws she attempts in a season. How many total freethrows did she attempt if she missed 51 help fast It takes 40 cents worth of meat to make 2 sandwiches. What is the cost of the meat for 20 sandwiches?Make a Selection:A. $2.00B. $3.20C. $1.60D. $4.00 Which of thefollowing uses thepreterit tense?HowWHO2WHATWHENWHYWHEREA. Ella viva en un castillo enorme.B. Tena pelo largo.C. Un da ella vi un hombre PLEASE HELP If the melting point of copper is 1,085 C, then the __________ point is __________ C. which health problem can result from choline toxicity? the royal mile is the primary route through which citys old town? Can someone please give me a paragraph on why "women aren't becoming and endangered species". It is really important Compare the Golden Ages of the Islamic Empire and the Tang and Song Dynasties. What makes them similar? What makes them different?Answer this question and I will put u in Brainlest!!And also I will give u points!!!Answer now please, cuz I need the answer now! The ratio of pages Kim reads tominutes that pass is 10:15. Howmany minutes will pass if Kimreads 40 pages? What is eutrophication ? What is the cardinal number of the set S={all letters contained within the word BALLADEER}? 3.(08.01 MC)Find the length of the base of a square pyramid If the volume is 48 cubic inches and has a height of 9 inches. O 4 inchesO 8 inchesO 16 inches024 inches Either enter exact answer in terms of pie or 3.14 PLS ANSWERClick to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 Read the section, "Baghdad: 8th century." What did the book a Thousand and One Nights tell of? (Site 1) una persona que me pueda sacar los verbos de este fragmento ? Cierta vez ,en una hacienda ganadera , arrebato el caracol a un vaquero y soplo una nota tan limpia , tan prolongada , tan alta que rompio las nubes y empezo a llover . List key terms associated with the carbon cycle Which sentence correctly completes the conversation if Juliette agrees with Amlie?Amlie: Le caf n'est pas bon pour la sant.JulietteOA. J'ai raisonOB. Je ne suis pas d'accord.O c. Je suis d'accord.OD. J'ai tortResetNext sue decides that she will deal with her shyness by joining a poetry reading group instead of just sitting at home and daydreaming of meeting someone. her decision is based on the ______________ principle as mediated by her ego. How did the study of the atom contribute to our understanding of the periodic table of the elements? (1 point)ItemOAtoms are representative of elements, so scientists scaled up atomic characteristics to understandelemental characteristics, allowing scientists to arrange elements in a periodic table.ItemItemElements are made of atoms, so understanding atoms provided information about elements, which led tothe organization of the periodic tableItemItemOThe determination of electron charge led to an understanding of how atoms interact with one another, whichfacilitated the organization of the periodic table.ItemItemExperiments that identified characteristics of atoms provided scientists with atomic weights and atomicnumbers, which were used to organize the periodic table.ItemItem During a sale, cameras were discounted 30% from their original price of $295.99. To the nearest cent, how much was the camera during the sale to the nearest cent?