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babymother [125]
2 years ago
15

The half-life of a certain radioactive material is 83 hours. An initial amount of the material has a mass of 67 kg. Write an exp

onential function that models the decay of this material. Find how much radioactive material remains after 5 hours. Round the answer to the nearest thousandth.​
Mathematics
1 answer:
Anvisha [2.4K]2 years ago
4 0

Answer:

  • Initial amount of the material is 67 kg
  • Hal-life is 83 hours

<u>The required equation is:</u>

  • m(x) = 67 * (1/2)^{x/83}, where m- remaining amount of the radioactive material, x - number of hours

<u>After 5 hours the material remains:</u>

  • m(5) = 67 * (1/2)^{5/83} = 64.260 (rounded)
You might be interested in
the sum of three consecutive integers is 78. What is the value of the smallest of the three integers?
CaHeK987 [17]

Answer:

Step-by-step explanation:

Consecutive integers just means like one after another.

This means that:

First number = x

Second number = x + 1

Third number = x + 2

They've told us that the sum of 3 consecutive integers is 78.

First number + second number + third number = 78

Sub the equations we wrote into the formula above and we get:

x + x + 1 + x + 2 = 78

Gather the like terms.

3x + 3 = 78

Subtract 3 from both sides.

3x = 78-3 = 75

Divide both sides by 3 to solve for x.

x = 75/3 = 25

If you look at the very beginning we said that the first number = x.

Therefore it is 25.

Second number = x + 1 = 26

Third number = x + 2 = 27

8 0
3 years ago
Can somebody help me with this question, please? I have no idea how to do this or find the answer. :/ How many ways are there to
san4es73 [151]

Answer:

28 different ways

Step-by-step explanation:

This is a combination question. Combination has to do with selection.

Total number of element in the set = 8

Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}

Total number divisible by 6 or 8 is 6

The number of ways we can choose 6 items from 8 is expressed as;

8C6 = 8!/(8-6)!6!

8C6 = 8!/(2)!6!

8C6 = 8*7*6!/2!6!

8C6 = 8*7/2

8C6 = 56/2

8C6 = 28 ways

Hence there are 28 different ways

5 0
3 years ago
Joe can weed the garden twice as fast as his sister Janet. Together they can weed the garden in 2 hours. How long would it take
scoundrel [369]

Answer:

Joe: 3 hrs

Janet: 6hrs

Step-by-step explanation:

joe takes x hours

so in 1 hr he does 1/x of the garden

janet takes 2x hours

so in 1 hr she does 1/(2x) of the garden

In one hour together they do 1/2 of the garden

1/x + 1/(2x) = 1/2

2/(2x) + 1/(2x) = 1/2

3/(2x) = 1/2

Cross multiply

6 = 2x

x = 3

Joe: 3 hrs

Janet: 6hrs

4 0
3 years ago
I need help please anyone help please
steposvetlana [31]

Answer:

1.

A. 17h+15=c

B. 4

*Steps*

83-15=68

68/17=4

2(box 1):

how to solve: 25m+200=?

m(minutes)=10

25(10)+200=450

*Give me a little to work out the other three please!*

8 0
3 years ago
Please help quickly as possible thank you​
Varvara68 [4.7K]
$68.11 all you have to do is add the tax to the amount paid for the shoes
7 0
2 years ago
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