Answer:
5:6 --> 10:12
Step-by-step explanation:
A good way to think of this is to provide a perspective: there are 5 boys every time there is 6 girls. So if there is 10 boys, that means there would be 12 girls (because 5 *2 = 10 and 6*2 = 12).
tl:dr: 5 *2 = 10 so 6*2 = 12
Answer:
x = 1± 3i
Step-by-step explanation:
x^2-2x+10=0
We can complete the square to solve by subtracting 10 from each side
x^2-2x+10-10=-10
x^2 -2x = -10
We need to add (2/2) ^2 to each side or 1
x^2 -2x+1 = -10 +1
x^2 -2x+1 = -9
The left side factors into (x- (2/2) ) ^2
(x-1) ^2 = -9
Take the square root of each side
sqrt((x-1) ^2 =± sqrt(-9)
x-1 = ±sqrt(-1) sqrt(3)
Remember the sqrt(-1) = i
x-1 = ± 3i
Add 1 to each side
x-1+1 = 1± 3i
x = 1± 3i
Answer:
TA name and section number on top of the homework (legibly). Make sure ... a) What is the opportunity cost of producing the first 5 coconuts? ... 3/2 fish - From the labeled points we can construct the table shown below. Each ..... 3Q = 150 ... Consumer surplus: ½ × (125 – 65) × 30 = 900 thousands of dollars.
Step-by-step explanation:
Answer:
it may be 79 or 7090 or
Step-by-step explanation
if u subtract 7595-55=7540
The velocity v and maximum height h of the water being pumped into the air are related by the equation
v= 
where g = 32
(a) To find the equation that will give the maximum height of the water , solve the equation for h
v= 
Take square root on both sides
= 2gh
Divide by 2g on both sides
= h
So maximum height of the water h = 
(b) Maximum height h= 80
velocity v= 75 ft/sec
Given g = 32
h = 
h = 
h= 87.89 ft
The pump withe the velocity of 75 ft/sec reaches the maximum height of 87.89 feet. 87.86 is greater than the maximum height 80 feet.
So the pump will meet the fire department needs.