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3 years ago

Help I need help plz!!!And tell me how you got it plz!!!!!!

Mathematics

1 answer:

Ahat [919]3 years ago

6 0

You have to multiply, so you get 7 1/2

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The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the o

Korvikt [17]

Answer:

a) $k = 0.000124$

b) According to these data, the Shroud of Turin has around 760 years.

Step-by-step explanation:

The amount of carbon-14 is modeled by the following equation:

$C(t) = C_{0}e^{-kt}$

In which $C_{0}$ is the initial amount and k is the rate of decrease.

(a) Find the value of the constant k in the differential equation.

Half-life of 5595 years.

So $C(5595) = 0.5C_{0}$

$C(t) = C_{0}e^{-kt}$

$0.5C_{0} = C_{0}e^{-5595k}$

$e^{-5595k} = 0.5$

Applying ln to both sides

$-5595k = -0.69$

$k = 0.000124$

b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material. How old is the Shroud of Turin, according to these data?

This is t when $C(t) = 0.91C_{0}$

$C(t) = C_{0}e^{-kt}$

$0.91C_{0} = C_{0}e^{-0.000124t}$

$e^{-0.000124t} = 0.91$

Applying ln to both sides

$-0.000124t = -0.094$

$t = 760.57$

According to these data, the Shroud of Turin has around 760 years.

8 0

4 years ago

Xavier has x dollars. This morning Alex had twice as much money as Xavier. After Alex spent three dollars on chips, he only had

sweet [91]

Answer:

Xavier has 5 dollars

Step-by-step explanation:

2x represents how much money Alex had, the -3 is how much he spent, and the 7 is how much he has now

$2x-3=7$

Add 3 to both sides

$2x=10$

divide both sides by 2

$x=5$

Checking my work:

$2*5-3=7\\10-3=7\\7=7$

5 0

3 years ago

Given the digits 2,5,7,9, 4, and 1, how many 4-digit codes can be made if 4 points

VMariaS [17]

Answer:

144

Step-by-step explanation:

first digit of the code: only 2 and 4 are the only even numbers availible, so only 2 possibilities for the first digit.

2nd digit of code: 2,5,7,9,1 so 6 possibilities for the 2nd digit.

3rd digit of code: 2,5,7,9,1 so 6 possibilities for the 3rd digit.

4th digit of code: only 7 and 9 are greater tyhan 6 so only 2 possibilities for the 4th digit.

SO...

2 x 6 x 6 x 2 = 144

8 0

3 years ago

Suppose

makkiz [27]

The measure of angle 5 and angle 7 are 47 degrees

5 0

3 years ago

Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the following could be used to calcul

Step2247 [10]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ 6}}\quad ,&{{ 5}})\quad 
% (c,d)
B&({{ x}}\quad ,&{{y}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
\textit{if the distance \underline{d} is 5, then }5=\sqrt{(x-6)^2+(y-5)^2}$

7 0

4 years ago