70%Step-by-step explanation:First, determine how many fixtures are left to install.270-81=189. The fraction representing the work still to be done is the count of fixtures to install divided by the total amount. So, % of work remaining equals 189 divided by 270, which equals 0.7. Converting this to percentage form gives us 0.7 * 100% = 70%.
The initial time was 15.7 minutes.
Explanation of steps:
Let x represent the initial time (in minutes).
The relay team is working on minimizing their relay race duration.
First, they cut down their time by 2.1 minutes.
Afterwards, they manage to reduce that time by 10 percent.
If the concluding time ends up being 3.96 minutes, then
x-t1-t2= 3.6
x= 3.6+ t1+ t2
x= 3.6+ 2.1+ 10
x= 15.7
Thus, their starting time was 15.7 minutes.
Answer:
1.21 g/day
Step-by-step explanation:
We start with the fact that
The mass of the bacterial colony (in grams) is described by

Where t=Time(in days)
Next, we differentiate with respect to t

Using the formula 


We know that P(t)=6
Now, substitute this value





Insert the given value of t


We understand that 
Applying the formula


By employing 
g/day
Consequently, the instantaneous rate at which the mass of the colony changes is=1.21g/day
Response:
A. Given
B. Measure of ABC=90
C. Angle addition Postulate
D. Two times the value of angle CBD equals 90
Step-by-step breakdown: