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kicyunya [14]
3 years ago
15

Help me! this is hard! i don't understand

Mathematics
1 answer:
LekaFEV [45]3 years ago
8 0
I believe AC=3 inches
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The half-life of a certain radioactive material is 78 hours. An initial amount of the material has a mass of 790 kg.. Write an e
adoni [48]
<span> half life i= 78 hours 
 amount after 78 hours is 395 kg: 
395 = 790e^(k*78) 

Dividing by 790 and taking natural log
ln (395/790) = (k*78) 
-0.6931 = 78k 
-0.00888 = k  

lets calculate  how much is left after 18 hours: 
Amount(18)
= 790e^(-0.00888*18) 
Amount = 673.301 kg
hope this helps</span>
4 0
3 years ago
Read 2 more answers
A 12 oz bottle of shampoo last 16 weeks. How long would you expect an 18 oz bottle to last
jenyasd209 [6]
If a 12 oz bottle of shampoo lasted for 16 weeks, we have a ratio of 12:16 which can be shortened to 3:4.

Now if we have 18 oz bottle we know that it's 1/2 more than 12 oz bottle, so the ratio will be also 1/2 more. So if it was 12:16, the new ratio will be:

12 + (1/2 * 12) : 16 + (1/2 * 16)
12 + 6 : 16 + 8
18 : 24

It means that 18 oz bottle should last for 24 weeks. Of course the ratio has to stay the same in its lowest form in both situations and as 18:24 can be shortened to 3:4, it proves it's correct :)
3 0
3 years ago
Make a the subject of a2+b2=c2
wel

Answer:

a=\sqrt{c^2-b^2

⇒ a=\sqrt{(c+b)(c-b)}        [Factorized form]

Step-by-step explanation:

Given expression:

a^2+b^2=c^2

We need to make a the subject.

In order to do that we need to solve the expression for a in terms of b and c

We have,

a^2+b^2=c^2

Subtracting both sides by b^2

a^2+b^2-b^2=c^2-b^2

a^2=c^2-b^2

Taking square root both sides in order to remove square of a

\sqrt{a^2}=\sqrt{c^2-b^2}

a=\sqrt{c^2-b^2

The difference of squares can be factorized and written  as:

a=\sqrt{(c+b)(c-b)}    [difference of squares x^2-y^2=(x+y)(x-y) ]

4 0
3 years ago
List all the perfect cubes up to 1000 and their cube roots.
DiKsa [7]

Hello from MrBillDoesMath!

Answer:

1^3    =     1

2^3   =     8

3^3   =     27

4^3   =     64

5^3   =    125

6^3   =    216

7^3   =    343

8^3  =     512

9^3   =    729

10^3   =    1000

Thank you,

MrB


4 0
3 years ago
Convert 5.6 into vulgar fraction​
zheka24 [161]

Answer:

The answer is 28/5

Step-by-step explanation:

5.6 can be written as 56/10 into vulgar fraction.

Thus, The answer is 56/10 = 28/5

<u>-TheUnknownScientist 72</u>

8 0
2 years ago
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