4 twos and 4 Jack's 4+4=8. 8/52=4/26=2/13
2/13 is the simplest form
Once cubic centimeter = 1 milleter
1 mL = 1000 L
250,000 ÷ 1000 = 250
There are 250 liters in 250,000 cubic centimeters.
Answer:
1) x = 18 2) x = 7
Step-by-step explanation:
Edit: Decided to solve the second too! :)
1)
12/16 = x/(x+6)
12x + 72 = 16x
72 = 4x
x = 18
2)
(-4 + 4x)/64 = 27/72
-288 + 288x = 1,728
288x = 2,016
x = 7
Answer:
y=-sqrt(x^2+9)
Step-by-step explanation:
This problem can be solved with the help of separating the variables.
dy/dx=x/y
Multiply both sides by y
y dy/dx=x
Multiply both sides by dx
y dy=x dx
Integrate
y^2/2=x^2/2+c
Let's find c using the condition y(0)=-3.
(-3)^2/2=(0)^2/2+c
9/2=0+c
9/2=c.
The equation is y^2/2=x^2/2+9/2.
Let's make this a bit prettier multiplying both sides by 2:
y^2=x^2+9
Taking square root of both sides gives:
y=+/- sqrt(x^2+9)
Since we want y(0)=-3, then we will choose
y=-sqrt(x^2+9).
Suppose we have had S visitors in n months since EIS (Entry Into Service) of the site, then :
<span>S(n) = 8100 + 8100 * 3 + 8100 * 3^2 + 8100 * 3^3 + ... +8100 * 3^n </span>
<span>S(n) = 8100 * [ 1 + 3 + 3^2 + 3^3 + ... + 3^n ] </span>
<span>and we know that : </span>
<span>1 + 3 + 3^2 + 3^3 + ... + 3^n = (3^(n+1) - 1)/(3 - 1) </span>
<span>= (3^(n+1) - 1)/2 </span>
<span>therefore </span>
<span>S(n) = 8100 * (3^(n+1) - 1)/2 </span>
<span>finally : </span>
<span>S(n) = 4050 * (3^(n+1) - 1) </span>
<span>and this allows you to obtain the month n, if you know S(n) : </span>
<span>3^(n+1) = S(n) /4050 + 1 </span>
<span>therefore : </span>
<span>n = ln[S(n) /4050 + 1] /ln3 - 1 </span>
<span>hope it' ll help !!</span>
