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tekilochka [14]

3 years ago

7

A hiker in Africa discovers a skull that contains 32% of its original amount of C-14. Find the age of the skull to the nearest y

ear.

1 answer:

kap26 [50]3 years ago

6 1

Answer:you know that N=0.41No so if you sub that in the No's cancel and you get 0.41=e^-kt.

solving for t you get t=(ln0.41)/(-k)=8915.98=8916 (to the nearest year)

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Given points A (-3,-4) and B (2,0), points P (-1,-12/5) partitions line AB in the ratio

kvv77 [185]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&A&(~ -3 &,& -4~) 
&P&(~ -1 &,& -\frac{12}{5}~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AP=\sqrt{[-1-(-3)]^2+[-\frac{12}{5}-(-4)]^2}
\\\\\\
AP=\sqrt{(-1+3)^2+(-\frac{12}{5}+4)^2}\implies AP=\sqrt{2^2+\left( \frac{8}{5} \right)^2}
\\\\\\
AP=\sqrt{4+\frac{64}{25}}\implies AP=\sqrt{\cfrac{164}{25}}\implies AP=\cfrac{\sqrt{164}}{\sqrt{25}}
\\\\\\
\boxed{AP=\cfrac{2\sqrt{41}}{5}}$

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&P&(~ -1 &,& -\frac{12}{5}~) 
&B&(~ 2 &,& 0~)
\end{array}
\\\\\\
PB=\sqrt{[2-(-1)]^2+[0-\left(-\frac{12}{5} \right)]^2}
\\\\\\
PB=\sqrt{(2+1)^2+\left( \frac{12}{5} \right)^2}\implies PB=\sqrt{9+\frac{144}{25}}\implies PB=\sqrt{\cfrac{369}{25}}
\\\\\\
PB=\cfrac{\sqrt{369}}{\sqrt{25}}\implies \boxed{PB=\cfrac{3\sqrt{41}}{5}}$

so, let's check the ratio of AP:PB

$\bf AP:PB\implies \cfrac{AP}{PB}\implies \cfrac{\frac{2\sqrt{41}}{5}}{\frac{3\sqrt{41}}{5}}\implies \cfrac{2\underline{\sqrt{41}}}{\underline{5}}\cdot \cfrac{\underline{5}}{3\underline{\sqrt{41}}}\implies \cfrac{2}{3}$

7 0

3 years ago

Solve for z<br> 3z-5+2z=25-5z

iren [92.7K]

Answer:

z=3

Step-by-step explanation:

Add 3z and 2z

5z-5=25-5z

Add 5z on both sides to eliminate the -5z on the RHS

10z-5=25

Add 5 on both sides to eliminate the -5 on the LHS

10z=30

Divide by 10

z=3

Hope this helps!

3 0

3 years ago

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F(x) = 3 x e^2x<br>That's the problem

scoundrel [369]

Answer:

6 e (*2)x

Step-by-step explanation:

i hope this helps and the 2 is a square unit

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2 years ago

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Simplify using order of operations<br>5.3-6.3+5²

prohojiy [21]

IT SHOULD BE 24 IF NOT IM SRRY

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what is the length of the hypotenuse of a right triangle with legs that measure 8 and 13 cm round the answer to the nearest hund

atroni [7]

Use pythagoreaan theorem
a^2+b^2=c^2
a and b are teh legnth s of the legs
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8^2+13^2=c^2
64+169=c^2
233=c^2
square root both sdies
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the legnth is aprox 15.26 cm

4 0

3 years ago

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