The measurement of radioactive decay can be useful tool in things such as Carbon-dating. For a carbon sample with mass 500kg and a half life of 5,730 years, calculate the remaining mass after 20,000years.

Answers

Answer 1

Answer:

$\bf \textit{Amount for Exponential Decay using Half-Life} \n\n A=P\left( (1)/(2) \right)^{(t)/(h)}\qquad \begin{cases} A=\textit{accumulated amount}\n P=\textit{initial amount}\dotfill &500\n t=\textit{elapsed time}\dotfill &20000\n h=\textit{half-life}\dotfill &5730 \end{cases} \n\n\n A=500\left( (1)/(2) \right)^{(20000)/(5730)}\implies A\approx 0.00000001555302367~Kgs$

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On which of the following lines does the point (7, 1) lie?A.) y = 5x + 4B.) y = -x + 8C.) y = x - 10D.) y = -4x + 3
Carla's plant was 10 2/3 inches tall. Yolanda's was 8 3/4 inches tall. How much taller was Carla's plant than Yolanda's?I came up with 2 11/12. Am I right??
-4(n-6)=12 how do I get the answer

How many hours are in 8:15 to 12:45

Answers

is 4:30 because ,12:45 take away 8:15= 4 :30 and 8 to 12 they are 4 and 45 take way 15 is 30

4:30
12:45-8:15=4:30
12-8=4
45-15=30
so...
the answer 4:30

Hope this helps

Multiply 12 by the sum of 8 and t - write an expression for the words

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From the given information as Multiply 12 by the sum of 8 and t. The expression would be 12(8+t)

How to form mathematical expressions from the given description?

You can represent the unknown amounts by the use of variables.

Follow whatever the description is and convert it one by one mathematically.

For example, if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.

If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.

We have given the information as Multiply 12 by the sum of 8 and t

In order to write an expression for the words

The expression would be 12(8+t)

Learn more about forming equations here:

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12(8+t) You do what's in the parenthesis first, then multiply by 12, or in other words multiply 12 by the sum of 8 and t.

james buys a video game for his xbox for 49.99 a controller for 34.95 and a walk through manual for 19.99 the sales tax in his area is 8.25% what will be the total cost of his purchase

Answers

Cost of the video game bought by James = 49.99
Cost of the controller bought by James = 34.95
Cost of the walk through manual bought by James = 19.99
Percentage of sales tax in the area of James = 8.25%
Total amount spent by James for buying the goods = 49.99 + 34.95 + 19.99
      = 104.93
Amount of sales tax = (8.25/100) * 104.93
   = 865.67/100
   = 8.66
So the total amount paid by James including tax = 104.93 + 8.66
      = 113.59
So the total cost of the purchase made by James is 113.59. I hope the procedure is clear enough for you to understand.

A company charges $211.25 for 5 trees and 15 shrubs, The company charges$15.25 more for a tree than a shrub. How much does each shrub cost?

Answers

First we make our formula: 5(t+15.25)+15t=211.25. (I use the same letter for both variables, but you have to make sure that whatever makes them different is in the formula) Then you work it like normal: 20t=135, T=6.75 so 1 shrub costs $6.75 Then substitute the answer in: 5(6.75+15.25)+15(6.75)=211.75 and check it. 1 tree is $110 :) hope this helps :)

Which Function does NOT have an x-intercept?A.y=1/2x-7 B.y=-x^2+2x+5 C.y=-1/3x-5 D.y=x^2-2x+5

Answers

x intercept is when the line crosses the x axis aka when y=0

see if you can solve for x if you set y=0
if you get a false statement, then there is no yint
we can see that A and C have xints
test B and D

B.
0=-x^2+2x+5
if we put into quadratiic formula we get an x value

D. 0=x^2-2x+5
if we put into quadratic formula, there is not x intercept

D is answer

Hi Tarry

The answer is D

I am sorry that I can't show how to graph it but there is no x-intercept

I hope that's help !

Factor and Solve 23x+100=-2x