First, we are going to determine the number of drops that needs to be administered by dividing the total volume by the volume per drop. Since, 1 cc (cm³) is equal to 1 mL then, 1000 cc is equal to 1000 mL.
n = (1000 mL)(15 drop/1 mL) = 15000 drops
Then, divide the number of drops by the number of drops per minute.
N = (15000 drops)/ (50 drop/min) = 300 mins
Answer: 300 mins or 5 hours
Given that
(2/x)+(3/y) = 13--------(1)
(5/x)-(4/y) = -2 -------(2)
Put 1/x = a and 1/y = b then
2a + 3b = 13 ----------(3)
On multiplying with 5 then
10a +15 b = 65 -------(4)
and
5a -4b= -2 ----------(5)
On multiplying with 2 then
10 a - 8b = -4 -------(6)
On Subtracting (6) from (4) then
10a + 15b = 65
10a - 8b = -4
(-)
_____________
0 + 23 b = 69
______________
⇛ 23b = 69
⇛ b = 69/23
⇛ b =3
On Substituting the value of b in (5)
5a -4b= -2
⇛ 5a -4(3) = -2
⇛ 5a -12 = -2
⇛ 5a = -2+12
⇛ 5a = 10
⇛ a = 10/5
⇛ a = 2
Now we have
a = 2
⇛1/x = 2
⇛ x = 1/2
and
b = 3
⇛1/y = 3
⇛ y = 1/3
<u>Answer :-</u>The solution for the given problem is (1/2,1/3)
<u>Check</u>: If x = 1/2 and y = 1/3 then
LHS = (2/x)+(3/y)
= 2/(1/2)+3/(1/3)
= (2×2)+(3×3)
= 4+9
= 13
= RHS
LHS=RHS is true
and
LHS=(5/x)-(4/y)
⇛ 5/(1/2)- 4/(1/3)
⇛(5×2)-(4×3)
⇛ 10-12
⇛ -2
⇛RHS
LHS = RHS is true
Just put 4 as x in the equation and solve it. The new equation is:
sqrt(2*4)+1+3 = 0
Now we can solve it.
sqrt(2*4) becomes sqrt8:
sqrt8+1+3=0. -------> sqrt8+4=0
The sqrt of 8 is about 2.83.. so 2.83+4 is:
6.83
So we have 6.83 as the answer
but 6.83 does not equal 0 so x cannot equal 4
Answer:
Option D, (x + 2)(x - 6)
Step-by-step explanation:
<u>Step 1: Factor
</u>
x^2 - 4x - 12
x^2 - 6x + 2x - 12
(x - 6)(x + 2)
(x + 2)(x - 6)
Answer: Option D, (x + 2)(x - 6)
The altitude is the mean proportional between the left and right parts of the hyptenuse
Answer: 14.1
