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Sergio039 [100]
3 years ago
12

The half-life of carbon-14 is 5,730 years. How many grams of parent material will remain from a 120-gram sample of carbon-14 aft

er 2 half-lives?
90

60

30

15
Mathematics
2 answers:
Oduvanchick [21]3 years ago
4 0
After one half-life . . . 1/2 of the total parent material

After another half-life . . . 1/2 of the half remains = 1/4 of the total original parent

If the original parent is 120 grams, then (1/4 x 20) = <u><em>30 grams</em></u> remains
after 2 half-lives.  It makes no difference what the substance is, or
how long its half-life is.
alex41 [277]3 years ago
3 0
t_{\frac{1}{2}}=5730\\&#10;N_0=120\ g\\&#10;t=2t_{\frac{1}{2}}=2\cdot5730=11460\\&#10;N(t)=?\\\\&#10;N(t)=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{\frac{1}{2}}}}\\&#10;N(11460)=120\cdot\left(\frac{1}{2}\right)^{\frac{11460}{5730}}\\&#10;N(11460)=120\cdot\left(\frac{1}{2}\right)^2\\&#10;N(11460)=120\cdot\frac{1}{4}\\&#10;N(11460)=30\ g
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You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How
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3 years ago
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What is order of operation?Explain.
Sonja [21]

Answer:

the order in which you solve an equation

Step-by-step explanation:

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5 0
2 years ago
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What needs to be corrected in this construction of a line parallel to AB passing through C?
monitta

Answer;

C) The second arc should be centered at C.

Explanation;

Assuming the goal is to construct a line parallel to AB that passes through given point C.

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3 0
3 years ago
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Divide -3x^3-2x^2-x-2 by x-2
Rasek [7]

Let's do this by Briot-Ruffini


First: Find the monomial root


x - 2 = 0

x = 2


Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2


Copy the first coeficient


2 | -3 -2 -1 -2

-3


Multiply him by the root and sum with the next coeficient


2.(-3) = -6

-6 + (-2) = -8


2 | -3 -2 -1 -2

-3 -8


Do the same


2.(-8) = -16

-16 + (-1) = -17


2 | -3 -2 -1 -2

-3 -8 -17


The same,


2.(-17) = -34

-34 + (-2) = -36


2 | -3 -2 -1 -2

-3 -8 -17 -36


Now you just need to put the "x" after all these numbers with one exponent less, see


2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36


You may be asking what exponent -36 should be, and I say:


None or the monomial. He's like the rest of this division, so you can say:


(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)


Just divide the rest by the monomial.

5 0
3 years ago
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