Answer: b) f(m)
Step-by-step explanation:
2x +4y =10x-3y =12
2x +4y =12 -----eq. 1
10x-3y =12 -------eq.2
2x =12 -4y [using eq. 1]
x = (12-4y)/ 2
= 6 -2y
Now, substitute the value of x in eq. 2
10 (6-2y)-3y =10
60 -20y -3y =10
-23 y = 10 -60
y = -50 / -23
y = 50/23
Now, substitute this value of y in any equations given above
10 x-3 (50/23) =12
10x - (150/23)= 12
x= 426/230
Since coefficient of x^2 is prime and both second and third term are positive, it must be in form (3x+_)(x+_).
There is three possibles for these blank spaces;
1,4
2,2
4,1
Because coefficient of second term is 13 = 1+12 = 1+3*4, these blank space should be 1,4
So your answer is (3x+1)(x+4)
Hope this makes sense.
It would be at rate of 68 ill use per minute so
68x=1y
Answer:
The number of syringe filled with water that would be needed to fill the semi-sphere is approximately 8.714 syringes
Step-by-step explanation:
The height of the syringe = 6.8 cm
The diameter of the syringe = 2.37 cm
The circumference of the hemisphere = 31.4 cm
Let r represent the radius of the hemisphere, we have;
2·π·r = 31.4 cm
r = 31.4/(2 × π) ≈ 4.9975 cm
The volume of the hemisphere = 2/3 × π × r³ = 2/3 × π × (31.4/(2 × π))³ ≈ 261.4 cm³
The volume of the syringe = π × d²/4 × h = π × 2.37²/4 × 6.8 ≈ 29.998 cm³
The number of syringe filled with water that would be needed to fill the semi-sphere = (The volume of the hemisphere)/(The volume of the syringe)
Therefore;
The number of syringe filled with water that would be needed to fill the semi-sphere = 261.4 cm³/(29.998 cm³) ≈ 8.714 syringes.
