For this case we have the following equation:
Q = Av
Where the area is given by:
A = pi * r ^ 2
A = pi * (d / 2) ^ 2
A = (pi / 4) * d ^ 2
Substituting we have:
Q = ((pi / 4) * d ^ 2) v
From here, we clear the diameter:
d = root ((4 / pi) * (Q / v))
Substituting values we have:
d = root ((4 / pi) * (50/600))
d = 0.36 feet
Answer:
The diameter of a pipe that allows a maximum flow of 50ft ^ 3 / min of water flowing at a velocity of 600ft / min is:
d = 0.36 feet
Pretty simple, really - all you have to do us divide 509 by 14 before you're left with an answer of <span>36.35. Now, the number '36' is closer to 0 than 100, so we'll round down instead of up, therefore the number of floors to the building is 36! </span>
Answer:
Matt should have factored out the leading coefficient 2 on the second step before completing the square
Step-by-step explanation:
To complete the square, you must first factor the leading coefficient from the first two terms.
y = 2x² − 10x − 4
y = 2 (x² − 5x) − 4
y = 2 (x² − 5x + 25/4 − 25/4) − 4
y = 2 (x² − 5x + 25/4) − 25/2 − 4
y = 2 (x − 5/2)² − 33/4
Answer:
Zach earns $10 and for the pair of boots Zach earns $15
Step-by-step explanation:
Let be x the number of pairs of shoes
Let be y the number of pairs of boots
Then we can establish the following system of equations with the data of the statement:
We subtract the second equation from the first equation to eliminate the variable y and solve for x, just like this:
For y replacing in the first equation the value of x and solving for y:
So for the pair of shoes Zach earns $10 and for the pair of boots Zach earns $15
Please mark be as brainliest if you found this helpful. please
3(x-2)+5x=18
the correct answer is x=3
first simply the equation
8x=18+6
Now rid of alike terms resulting in
8x=24
now divide 24 by 8
x=3
