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Tema [17]
3 years ago
7

A system of linear equations is graphed on this coordinate grid.

Mathematics
1 answer:
Serjik [45]3 years ago
4 0
I think it is B (1,5) because that is where it intersects
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The radioactive element americium-241 has a half-life of 432 years. How many years will it take a 10 gram mass of americium-241
geniusboy [140]
<h2>Answer: 816 years</h2>

This problem can be solved using the <u>Radioactive Half Life Formula: </u>

<u />

A=A_{o}.2^{\frac{-t}{h}}   (1)

Where:

A=2.7g is the final amount of the material

A_{o}=10g is the initial amount of the material

t is the time elapsed  (the quantity we are asked to find)

h=432y is the half life of americium-241

Knowing this, let's find t from (1):

2.7g=(10g).2^{\frac{-t}{432y}}  

\frac{2.7g}{10g}=2^{\frac{-t}{432y}}  

0.27g=2^{\frac{-t}{432y}}  

Applying natural logarithm in both sides:

ln(0.27g)=ln(2^{\frac{-t}{432y}})  

-1.309=-\frac{t}{432y}ln(2)  

-t=\frac{(-1.309)(432y)}{0.693}  

<u></u>

<u>Finally:</u>

t=816y

3 0
3 years ago
Express 233 base four<br>as a base six.​
ahrayia [7]

Answer:

twenty one

Step-by-step explanation:

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3 0
3 years ago
Solve the equation <br> -10 + 3x + 5x = -56 ? ??
Xelga [282]
Add like terms on the same side:
-10 + 8x = -56
Add ten to both sides
-10 + 8x + 10 = -56 +10
Simplify:
8x = -46
Divide both side by 8
8x/8 = -46/8
Simplify
x = - 5.75
The answer is x = -5.75
(The answer can also be written as -23/4 or -5 3/4)
8 0
3 years ago
Read 2 more answers
how do I find the area of a shaded region and the non shaded region inside the non shaded region???????
mixer [17]
There's no diagram here so I can't be specific, but I've attached an image.

7 0
3 years ago
Based on the line plot, how many batteries lasted more than 5 1/2 hours? *
babunello [35]

Answer:

5 batteries.

Explanation:

"How many batteries lasted more than 5 1/2 hours?" which means it's counting not only 5 1/2, but 5 3/4 and 6 1/4

3 0
3 years ago
Read 2 more answers
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