Answer:
R=9
Step-by-step explanation:
the formula for area of a circle is pi r squared
where r denotes the radius of the circle
equating the formula for area with the area of the circle provided
p\i r squared = 81 p\i
r squared = 81
r = radical 81
r =9 inches
Answer:
Time,t that it will elapse before the concerntration of the dye in the tank reaches1% of its original value is 460.52 seconds
Step-by-step explanation:
Let Q(t) = amount of dye for all time,t.
Let Q'= rate in - rate out.
But Q/200 = concerntration of dye
Therefore rate out= Q/200 ×2.
Q'/Q = - 1/100
Dividing by Q gives
Ln/Q/ + c = -1/100t + c1
Integrating both sides with respect to t
Ln/Q/ = -1/100t + c2.
c1 and c1 are just another constants
Q= c3e^-t/100
Exponentiating both sides will cause the absolute values to get absorbed into the constants giving rise to a new constant c3
200= c3-0/100
c3= 200
2= 200e^-t/100
Ln1/100= - t/100
Ln0.01 = - t/ 100
Cross multiply
t= Ln0.01 × 100
t = 4.6052 ×100
t = 460.52seconds
Answer:
13 over 22
Step-by-step explanation:
because you want to change the denominator to where they can match. So 22 is where 11 and 2 can match. then you want to multiply the amount you multiplied with the denominator so 1 over 11 would be 2 over 22. And 1 over 2 would be 11 over 22. and then you can add. 11 plus 2 is 13 and you can keep the denominator the same. Therefore, the answer would be 13 over 22
hope i helped.
Answer:
x = 522.64
Step-by-step explanation:
cross-multiply:
90x = 811(58)
90x = 47,038
x = 47038 / 90
x = 522.64
Step-by-step explanation:
hope it would help you...
