Answer:
1.
2.543.6
Step-by-step explanation:
We are given that
y(0)=200
Let y be the number of bacteria at any time
=Number of bacteria per unit time


Where k=Proportionality constant
2.
,y'(0)=100
Integrating on both sides then, we get

We have y(0)=200
Substitute the values then , we get


Substitute the value of C then we get





Differentiate w.r.t

Substitute the given condition then, we get



Substitute t=2
Then, we get 

e=2.718
Hence, the number of bacteria after 2 hours=543.6
Answer:
m= 9-2
m= 7
Step-by-step explanation:
Answer:
JK=7
Step-by-step explanation:
From the line segment, since J is on it ,it means the line segment is
represented as I J K
from this illustration, we can say that the longest part of the line segment is from I to K
this means that, IJ +JK =IK
making JK the subject,
JK= IK - IJ
but from the question, JK=2x-1 , IK=3x+2 and IJ=3x-5
substituting them in the expression,
2x-1 =3x+2 -(3x-5)
solving for x
2x-1 =3x+2-3x+5
2x-1 =0+7
2x-1 =7
2x=1+7
2x=8
dividing through by 2
2x/2 =8/2
x=4
but the question says we should find the numerical value for JK
but from the line segment,
JK=2x-1
but now we know the value of x to be 2
so substituting it in the formula
JK= 2(4)-1
JK=8-1
JK=7
therefore, the numerical value for JK is 7
Answer:
30
Step-by-step explanation:
6*5=30