The half-life of a certain radioactive material is 36 days. An initial amount of the material has a mass of 487 kg. Write an exponential function that models the
decay of this material. Find how much radioactive material remains after 5 days. Round your answer to the nearest thousandth.
Ο Α.
;0.318 kg
y = 487
B.
: 0.847
kg
y=
oc.
: 442.302 kg
y = 487
s(1
»=2(43);
OD
: 0 kg

Answers

Answer 1

Answer:

a(t) = 487(1/2)^(t/36)a(5) = 442.302 kg

Step-by-step explanation:

The exponential function for half-life problems is easily written using 1/2 as the base of the exponent.

  present value = (initial value) × (1/2)^(t/(half-life))

Then the amount (a) remaining after t days is ...

  a(t) = 487 × (1/2)^(t/36)

__

After 5 days, the amount remaining is ...

  a(5) = 487×(1/2)^(5/36) ≈ 442.302 kg

_____

Some folks like their exponential function to be written using e as the base for the exponent. Here, that would be ...

  a(t) = 487·e^(-0.019254t)

where the constant in the exponent is -ln(2)/36.


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Answer:
9: 1/36 chance of getting the same number on both dice
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Explanation:
9: a die has 6 sides with each number. So the chance of getting a number on a dice once is 1/6. The second dice is the same with 1/6 chance. But to have them both be the same number means you have to multiply the probability. (1/6)/(1/6)=1/36

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Answers

Answer:

A = W/L

Step-by-step explanation:

Owen is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The one-time fee to join the gym is $100 and the total cost of membership, including the joining fee, would be $200 for 2 months. Write an equation for C,C, in terms of t,t, representing the total cost of the gym membership over tt months.

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Step-by-step explanation:

For his art project, Dorian is using square tiles of different sizes and colors to make a mosaic. The first three tiles are: 1. A = 5 cm2 2. A = 7 cm2 3. A = 9 cm2


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Answers

Answer:

3cm²

Step-by-step explanation:

Since the sizes are square tiles, to know the tile's side lengths that Dorian need to estimate, we will use the formula for calculating the area of q square

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L² = 9

L = √9

L = 3.0cm

Since for all the square tiles the length of the tile is ≤ 3 cm, then the  tile's side lengths that Dorian will need to estimate is approximately 3cm

Please help I’ll give brainiest!!

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

You're welcome :)

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Answer:

I believe there are four terms in this expression.

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Answer:

Q' would be (5, 6)

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Answer:

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Step-by-step explanation:

This is a hypotenuse and leg

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Step-by-step explanation:

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Answer:

10 minutes longer

Step-by-step explanation:

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The sum of 3 consecutive odd integers is 36. Whal
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[tex]\huge\pink{Answer}[/tex]

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Answers

Answer:

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Step-by-step explanation:

384 divided by 12 is 32

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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9514 1404 393

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Answers

Answer:

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Step-by-step explanation:

First you have to subtract 65-35, which equals 30.

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2 and 3

Step-by-step explanation:

You are preparing for a trip to Canada. At the time of your trip, each U.S. Dollar is worth 1.293 Canadian dollars and each Canadian dollar is worth 0.773 U.S. Dollar. a. You exchange 150 U.S. Dollars for Canadian dollars. How many Canadian dollars do you receive?

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Answer:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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I hope my answer can help you.

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Hello.

If Riley earned $5 for half (1/2) an houe of babysitting, then for a full hour, she would make $10.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

The linear function that is represented by which table has the same slope as the graph? On a coordinate plane, a line goes through points (0, negative 3) and (2, 1). A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9. A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.v

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Answer: I’m not exactly sure, but I wanna help. So from the Work I’ve done option C is the answer.

Step-by-step explanation:

Answer:

It's C.

Step-by-step explanation:

edg. 2021

what is the result of (4³)² × (¼)²​

Answers

Answer:

256

Step-by-step explanation:

By using power of a power rule, the result of [tex](4^{3} )^{2}[/tex] × [tex](\frac{1}{4} )^{2}[/tex] is 256.

What are exponential formulas?

Exponents formulas refer to the formulas that help solve exponents. Exponent of a number is represented in the form: [tex]x^{n}[/tex], meaning x is multiplied by itself for n times. Here,

x is called the "base"

n is called the "exponent" or "power"

[tex]x^{n}[/tex] is read as "x to the power of n" (or) "x raised to n"

Power of a power rule :  [tex](a^{m} )^{n}=a^{mn}[/tex]

Given exponential expression

[tex](4^{3} )^{2}[/tex] × [tex](\frac{1}{4} )^{2}[/tex]

[tex](4^{3} )^{2}[/tex] is in the form of power of a power rule [tex](a^{m} )^{n}=a^{mn}[/tex]

= [tex]4^{6}[/tex] × [tex]\frac{1}{4^{2} }[/tex]

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= [tex]4^{4}[/tex]

= 256

The result of [tex](4^{3} )^{2}[/tex] × [tex](\frac{1}{4} )^{2}[/tex] is 256.

Find out more information exponential formulas here

https://brainly.com/question/23418174

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