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Trava [24]
3 years ago
10

A certain radioactive isotope has leaked into a small stream. Three hundred days after the​ leak, 3% of the original amount of t

he substance remained. Determine the​ half-life of this radioactive isotope.
Mathematics
1 answer:
sesenic [268]3 years ago
6 0
If the half-life is t, then every t days, the amount of the radioactive isotope will be cut in half.
(1/2)^(number of half-lives) = 3%
number of half-lives = ln(0.03) / ln(0.5)
This gives the number of half-lives as 5.06.
Then 300 days = (5.06)(length of 1 half-life)
length of 1 half-life = 300 / 5.06 = 59.29 days
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30 POINTS!!!Which of the following shows the polynomial below written in descending
Zigmanuir [339]

Answer:

d

Step-by-step explanation:

it should be the one with the greatest power to the lowest power If I remember correctly.

5 0
3 years ago
Read 2 more answers
Solve for x.
IceJOKER [234]
2x - 6 = 18
2x = 18 + 6 (24)
2x = 24
x = 12

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3x + 9 = 2x + 24 - 9 (2x + 15)
3x = 2x + 15
3x - 2x = 15
x = 15

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<span>5x + 4 = 24
5x = 24 - 4 (20)
5x = 20
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5 0
2 years ago
A right triangle in which one acute angle is a reference angle for a 75° angle in standard position intersects the unit circle a
vampirchik [111]

Alright, lets get started.

Please take a look at the diagram attached.

The reference angle of 75 will be 75

As it is mentioned that the angle intersects the unit circle means r = 1

So, finding cos

cos 75 = \frac{X}{r}

cos 75 = \frac{0.259}{1}

cos 75 = 0.259    :   Answer

Hope it will help :)


7 0
3 years ago
The function f(x) is represented by the table below. What are the corresponding values of g(x) for the transformation g(x) = 6f(
g100num [7]

Answer:

Given: The transformation g(x) =6f(x)                  ......[1]

To find the corresponding values of g(x) for the given transformation.

At x = -7, f(x) = 8

then,

By substituting the value of f(x) = 8 in [1] we have

g(x) = 6 \cdot 8 =48

Similarly,

For x= -3 , f(x) = 3, then

By substituting the value of f(x) = 3 in [1] we have

g(x) = 6 \cdot 3 =18

For x= 0, f(x) = -1 , then

By substituting the value of f(x) = -1 in [1] we have

g(x) = 6 \cdot -1 =-6

For x= 2, f(x) = 7, then

By substituting the value of f(x) = 7 in [1] we have

g(x) = 6 \cdot 7=42

For x= 10, f(x) = 5, then

By substituting the value of f(x) = 5 in [1] we have

g(x) = 6 \cdot 5=30

Therefore ; we have the corresponding values of g(x) as shown below;

x                f(x)           g(x)

-7                8                48

-3                3                 18

0                -1               -6

2                 7                42

10                5                30

5 0
3 years ago
Read 2 more answers
Please help it’s tomorrow at 10 am
Neporo4naja [7]

Step-by-step explanation:

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2(24 + 12)

2(36)

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2(4c + 4w) [ Since it is saying all side]

8c + 8w

Expression = 72 + 8c + 8w

8 0
2 years ago
Read 2 more answers
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