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1): Answer =====> Letter Choice, (B), The rate in which you walked home, The slope is the same, as the Rate of Change, In Distance Divided by the Change in Time =====> d = 4 -1/15t(4) / 1/15t
2): The Equation: d = -1/15t + 4
The more the Number of Minutes: Larger the Negative Quantity; ====> -1/15t
The Larger the Negative Quantity in Equation: D value is Smaller:
Therefore your Answer ===> The Distance from home (d), Decreased with Minute Walked (t) ====> So, Letter Choice, (C)
2): Towards your home, The slope is Negative, and the Distance (y - value), Decreases, as the Time (x- Values), Increases. Notice the Slope is Negative, Because, you are getting closer to home.
Hope that helps!!!! : )
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>.
We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For 
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.
Now, solve. First, divide by 100.
Take the log of everything
Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the <em>t</em> and get
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.
The length of the line segment AB where
and
We have:
subtitute
Answer: b. 14.1
Answer:
Yes, this is a right triangle
Step-by-step explanation:
Plug the values into the pythagorean thm.
1.5^2 + 2^2 = 2.5^2
2.25+4=6.25
6.25=6.25
