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Rainbow [258]
3 years ago
9

Need #9 on this one

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
5 0

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Situation:
Arturiano [62]

Answer:

t = 6162  years

Step-by-step explanation:

Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.

The equation to use is that for carbon decay:

N(t)=N_0\,e^{-0.0001\,\,t}

If the skull contains 54% of its original amount of C14, then that means that :

N(t)=0.54 \,\,N_0

we use this to solve for the time (t) in our equation:

0.54\,\,N_0=N_0\,e^{-0.0001\,\,t}\\\frac{0.54\,\,N_0}{N_0}=e^{-0.0001\,\,t}\\0.54=e^{-0.0001\,\,t}\\ln(0.54)=-0.0001\,\,t\\t=\frac{ln(0.54)}{-0.0001} \\t=6161.86\,\,years

which rounded to the nearest year as requested gives :

t = 6162  years

8 0
3 years ago
In a group of Year 9 students, the ratio of boys to girls is 9 : 7. There are 4 more boys than girls in this group. How many stu
KATRIN_1 [288]

Answer: 32

Step-by-step explanation:

There are 18 boys and 14 girls (4 more boys than girls.  32 students total.

7 0
3 years ago
Find the nth term 4,9,14,19<br> WHOEVER ANSWERS FIST CORRECTLY WILL GET GIVEN BRAINEST
irina1246 [14]

Answer:

4,9,14,19

a=4

d=9-4=5

a^n=a+(9-1)d

=4+(9-1)5

=4+5n-5

=5n-1

Step-by-step explanation:

Thanks!!!!

8 0
2 years ago
A(1) = -11<br> a(n) = a(n − 1). 10<br> What is the 4th term in the sequence?
neonofarm [45]

Answer:

a(n)= a(n-1) .10

Clearly see the equation

you can do it directly Apply logic

Every n th term is 10 times of previous n-1 th term

That is common ratio an/a(n-1)= 10

So, We have to find 4 th term

So, 4 th term is simply

1st term × (common ratio)^(4-1)

-11( 10)^3

-11000

Thanks

3 0
4 years ago
What is the length of each side of a square if its area is 121 ft??
vladimir2022 [97]

Answer:

11 feet

Step-by-step explanation:

Given,

Area of square ( a^2 ) = 121 ft

To find : Length of each side ( a ) = ?

Formula : -

Area of square = a^2

a^2 = 121

a = √121

a = 11 feet

8 0
3 years ago
Read 2 more answers
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