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vivado [14]
3 years ago
5

house numbers on one side of a street are consecutive even integers. the sum of the first three house numbers on the street is 6

216. what is the number of the third house?
Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0
Consecutive even integers..x, x + 2, x + 4

x + (x + 2) + (x + 4) = 6216
3x + 6 = 6216
3x = 6216 - 6
3x = 6210
x = 6210/3
x = 2070

x + 2 = 2070 + 2 = 2072
x + 4 = 2070 + 4 = 2074 <===house 3
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Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmospher
Artemon [7]

Answer: 2500 years

Step-by-step explanation:

I'm not quite sure if I'm doing this right myself but I'll give it a shot.

We use this formula to find half-life but we can just plug in the numbers we know to find <em>t</em>.

A(t)=A_{0}(1/2)^t^/^h

We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For A_{0 let's just assume that there are 100 original  atoms of Carbon-14 and for A(t) let's assume there are 74 Carbon-14 atoms AFTER the amount of time has passed. That way, 74% of the C-14 still remains as 74/100 is 74%. Not quite sure how to explain it but I hope you get it. <em>h</em> is the last variable we need to know and it's just the half-life, which has been given to us already, 5730 years, so now we have this.

74=100(1/2)^t^/^5^7^3^0

Now, solve. First, divide by 100.

0.74=(0.5)^t^/^5^7^3^0

Take the log of everything

log(0.74)=\frac{t}{5730} log(0.5)

Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the <em>t</em> and get

5730\frac{log(0.74)}{log(0.5)} =t

Use your calculator to solve that giant mess for <em>t </em>and you'll get that <em>t</em> is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

Really hope that all the equations that I wrote came out good and that that's right, this is definitely the longest answer I've ever written.

5 0
3 years ago
Hey what's <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B169%7D%20%20%5Ctimes%202" id="TexFormula1" title=" \sqrt{169} \ti
WITCHER [35]

Answer:

the square root of 169 is 13 then ×2

26

I hope I am correct mate

enjoy your day

#Captainpower

4 0
2 years ago
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Rama09 [41]

Answer:

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<em>Brainliest, please!</em>

<em />

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25% is furniture, and furniture costs $3600.

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Answer:

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Step-by-step explanation:

i did the work lol

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