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kotykmax [81]
3 years ago
15

Cesium chloride is a radioactive substance that is sometimes used in cancer treatments. Cesium chloride has a biological half-li

fe of 4 months. (Note: Use the concepts of half-life or doubling time. The biological half-life of a substance is the amount of time it takes for the physiologic or radiologic activity of that substance to reduce by half.)
Required:
a. Find a model for the amount of cesium chloride left in the body x months after 840 mg has been injected.
b. How long will it take for the level of cesium chloride to fall below 3%?
Mathematics
2 answers:
Natalka [10]3 years ago
5 0

Step-by-step explanation:

my workings and answers is in the image above

zepelin [54]3 years ago
3 0

Answer:

There is another approach to this problem that

might be more in line with what you are studying ..... NOTE: the first answer is correct.

Step-by-step explanation:

1 = 2x^{4}

1/2 = x^{4}

ln(1/2) = 4 ln(x)

ln(1/2)/4 = ln(x)

x = e^{-0.1732}

x = .8408

~~~~~~~~~~~~~~~~

model : 840(0.8408)^{t}

~~~~~~~~~~~~~~~~~

(.03* 840)  = 840(0.8408)^{t}

(.25.2)  = 840(0.8408)^{t}

.03 = (0.8408)^{t}

ln(.03 )=ln( (0.8408)^{t})

t = ln(.03 )/ln(0.8408 )

t = 20.22

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Let I (x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet,"
FrozenT [24]

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L(x) means that Student X has an internet connection

C(x,y) means that students X and Y have chatted over the internet

The domain for variables X and Y comprise all students in your class. We now use quantifiers or algebraic functions to express each of the statements:

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Where X represents Jerry

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C(x,y) = 0

Where X and Y represent Rachel and Chelsea

(C) Jan and Sharon have never chatted over the internet

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Where X and Y represent Jan and Sharon. If they have NEVER chatted over (the question didn't say they have never "with each other", it says they have never chatted at all) the internet, then they've probably never had an internet connection!

(D) No one in the class has chatted with Bob

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Let K and T be the current ages of two siblings, Katie and Thomas. Katie is currently twice the age of Thomas. In 6 years, Katie
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Answer:

Katie is 6 years old and Thomas is 3 years old

Step-by-step explanation:

Given that we should let K and T be the current ages of two siblings, Katie and Thomas.

If Katie is currently twice the age of Thomas then,

K = 2T

and in  6 years, Katie will be 4 times Thomas's current age then

K + 6 = 4T

Solving both equations simultaneously by substituting the value of K given in the first equation into the second

2T + 6 = 4T

Collect like terms

6 = 4T - 2T

6 = 2T

Divide both sides by 2

T = 3

Recall that K = 2T

K = 2 * 3

= 6

Hence Katie is 6 years old while Thomas is 3 years old

6 0
2 years ago
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