It would be 70/100 because you are multiplying the denominator by 10 which equals 100 so you must do the same to the other side which would be 70. There fore the decimal would be 0.70.
First we have to calculate the half-life
half-life = elapsed time * log (2) / log (bgn amt / end amt)
half-life = 1 hour * 0.30102999566 / log (1 / .95)
half-life = 0.30102999566 / log (<span>
<span>
<span>
1.0526315789 )
</span>
</span>
</span>half-life = 0.30102999566 / 0.022276394692
half-life = <span>
<span>
<span>
13.5134073454 hours
</span>
</span>
</span>
Ending Amount = Beginning Amount / 2^n
Where "n" = number of half-lives
For 4 hours, "n" equals
4 / 13.5134073454
=<span>
<span>
<span>
0.2960023255
</span></span></span>Ending Amount = 500 grams / 2^.2960023255
Ending Amount = 500 grams /<span>
<span>
<span>
1.2277376629
</span>
</span>
</span>Ending Amount = <span>
<span>
<span>
407.2531250707 grams
Source:
http://www.1728.org/halflife.htm
</span></span></span>
Sine (theta) = 5 / hypotenuse
We do not know the hypotenuse length, so let's use the tangent function.
tan (theta) = 5/7
arc tan (5/7) = 35.538 Degrees
Answer:
The correct option is C....
Step-by-step explanation:
First of all multiply the terms:
(x-6)(x+8)=0
x^2+8x-6x-48=0
Now solve the like terms:
x^2+2x-48=0
Now we will solve this quadratic equation by factoring:
The first terms has coefficient 1. So 1 will be multiplied by the constant term 48.
1*48= 48
Now we have to find out the two values whose product is 48 and whose sum or difference is 2(middle term).
8*6 = 48
8-6 = 2
Now break the middle term:
x^2+8x-6x-48 = 0
Now take the common from the first two and last two terms:
x(x+8)-6(x+8) = 0
(x+8)(x-6)=0
x+8=0 , x-6=0
x= 0-8 , x=0+6
x = -8 , x=6
Thus the solutions we get are: x=6 or x= -8
The correct option is C....
Answer:
Cost of 1 article is Rs10
