Expand: -7/3(x-1)+2: 13/3-7x/3
expand: 4(2-x): 8-4x
13/3 - 7x/3 =8-4x
13/3 -7x/3 -13/3 = 8-4x -13/3
-7x/3=-4x+11/3
-7x/3 * 3= -4x*3+11/3*3
-7x=-12x+11
-7x+12x=-12x+11+12x
5x=11
5x/5=11/5
x=11/5
Answer:
4i sqrt(2)
Step-by-step explanation:
sqrt(-2) + sqrt(-18)
We know sqrt(ab)= sqrt(a) sqrt(b)
sqrt(-1)sqrt(2) + sqrt(9) sqrt(-2)
sqrt(-1)sqrt(2) + sqrt(9) sqrt(2)sqrt(1)
We know the sqrt(-1) is equal to i
i sqrt(2) +3 sqrt(2) i
i sqrt(2) +3i sqrt(2)
4i sqrt(2)
The volume of the gallon is 6000 gallon
the rate of water flow per min is f(t)=300t^2
a] amount of water that flowed in the first 7 minutes=7/60 hours will be:
f(7)=300(7/60)^2
solving the above we get
f(7)=7/12 gallons
b] The time taken for the tank to be empty will be as follows:
amount of water that will flow out for the tank to be empty will be 6000 gallons
thus,
6000=300t^2
this can be simplified to
20=t^2
t^2-20=0
solving this we get:
t=-2√5 or 2√5
the time taken for the tank to be empty will be t=2√5 hours=5.4721 hours
Answer:
1.) Unbalanced
Step-by-step explanation:
have a great day
Answer:

Step-by-step explanation:
Given
The attached figure
Required
Solve for x
3x and 45 are supplementary angles
So:



Solve for x

