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lorasvet [3.4K]
3 years ago
8

the units digit of a two digit number is 10. If the digits are reversed, the new number is 9 less than the original number. find

the original number​
Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer: the units digit has to be a 1 digit number not 2

Step-by-step explanation:

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Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am
zheka24 [161]

SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

So we are looking for the time

Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

8 0
11 months ago
Plz help!<br> Compare. Write &lt;,&gt;,or =<br> 100in ○ 3yd 1ft
SashulF [63]
3 yd 1ft is greater then 100 in
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3 years ago
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Solve this system of linear equations. Separate
Gelneren [198K]

Answer:

x 2 y -4

Step-by-step explanation:

13x = -54 -20y give it is A

-10x = 60 + 20y give it is B

A + B the sum of the left side of equation is equal to the sum of the right side of equation

13 + (-10x) = -54 -20y + 60 + 20y

3x = 60-54

3x = 6

x=2

so put the x value in A or B equation you can receive y value (B is easier)

y = -4

7 0
3 years ago
A rectangle has a perimeter of 18 cm.its length is 5 cm greater than its width.find the dimensions.
Marat540 [252]
P=18
l=5 cm greater than the width
w=5 less than the length

USE YOUR NUMBER SENSE!!! - just plug in different number below 4 to figure out the width

3=w  3+5=8 8+8=16+6=22    WILL NOT WORK

2=w   2+5=7  7+7=14   14+2+2= 18    WE HAVE A WINNER!!!!

FInal Answer: width: 2 cm and length: 7 cm
                          


5 0
3 years ago
It takes Mike 18 minutes to finish reading 4 pages of a book. How long does it take for him to finish reading 30 pages
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Answer:

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Step-by-step explanation:

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