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svetlana [45]
4 years ago
9

I HAVE 5 MINUTES PLEASE HELP (15 points)

Mathematics
2 answers:
erastova [34]4 years ago
7 0
The answer choice is a. y=(-1/2)x
ladessa [460]4 years ago
6 0

Answer:

y= -1/2x

Step-by-step explanation:

It is A

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A bone fragment has 67% of the parent Pb-210 remaining. The half-life of Pb-210 is 22 years. How old is the bone fragment?
Korolek [52]

To solve this question we will use two important formulas.

The first formula involves the calculation of the decay constant, k which is to be found as:

k=\frac{0.6931}{T_{\frac{1}{2}}}

where T_{\frac{1}{2}} is the half life of Pb-210 which is given to be 22 years in the question.

Thus, k=\frac{0.6931}{22}\approx0.0315

Now, we will use the second formula which is called the function of decay formula and is given as:

N = N_{0} e^{-kt}

where N percentage of Pb-210 remaining in the bone at present, which in our case is 67% or 0.67

N_{0} percentage of Pb-210 to start with, which is always 100% or 1.

Plugging in all these values in the decay formula we are supposed to find the time, t.

0.67=1\times e^{-0.0315t}

Taking natural log on both sides we get:

ln(0.67)=-0.0315t

\approx-0.4005=-0.0315t

\therefore t=\frac{0.4005}{0.0315}

t\approx12.71 years

Therefore the bone fragment is about 12.71 years old.

7 0
4 years ago
X/5 + 6=10
Komok [63]

Step-by-step explanation:

first you do x/5=10-6 the second step you do is x/5=4 the third step is x=4x5 finally the answer is x=20

8 0
3 years ago
Hello, it would help me to solve these systems of equations, thank you
Mariulka [41]
The answer for the ones you've marked.
1. y= 1 | x= -2
6. X= -7 | y= -6

the idea is simple here an example on how to solve them:

4 0
4 years ago
Please help when there are two x's i get confused. answer #3 with an answer!
igomit [66]

Answer:

x = 1

Step-by-step explanation:

We know that the two angles must be equal to each other. So:

65x - 12 = 43x + 10

First add 12 to both sides:

65x - 12 + 12 = 43x + 10 + 12

65x = 43x + 22

Then subtract 43x from both sides:

65x - 43x = 43x - 43x + 22

22x = 22

x = 1

7 0
3 years ago
Please help with this square problem, the picture is shown.
Galina-37 [17]
<span>Area of ​​the upper rectangle = x(16 - 6) = 10x  </span>yd²<span>
 
Area of ​​the bottom rectangle =  6(x + 6) = 6x + 36  </span>yd²<span>

Total area = 10x + 6x + 36 = 16x + 36 yd</span>²


5 0
4 years ago
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