Answer:
24
Step-by-step explanation:
Hope this helps and pls do mark me brainliest if you can:)
Answer:
a = 2, b = -9, c = 3
Step-by-step explanation:
Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:
(-1,14)
14 = a*(-1)^2 + b*(-1) + c
(2,-7)
-7 = a*2^2 + b*2 + c
(5, 8)
8 = a*5^2 + b*5 + c
Rearranging:
a - b + c = 14
4*a + 2*b + c = -7
25*a + 5*b + c = 8
This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:
A =
1 -1 1
4 2 1
25 5 1
x =
a
b
c
b =
14
-7
8
Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:
inv(A) =
0.055555556 -0.111111111 0.055555556
-0.388888889 0.444444444 -0.055555556
0.555555556 0.555555556 -0.111111111
inv(A)*b
2
-9
3
So, a = 2, b = -9, c = 3
Step-by-step explanation:
Zn + 2HCl => ZnCl2 + H2
Moles of Zn = 13g / (65.38g/mol) = 0.198mol
Volume of HCl = 0.396mol / (0.25mol/dm³) = 1.58dm³.
Volume of H2 = 0.198mol * (22.4dm³/mol) = 4.43dm³.
Answer:
16
Step-by-step explanation:
Answer:
Step-by-step explanation:
If you look at the objects thrown as garbage, it's a two- or three-dimensional item that takes up space and also has mass and this is a solid waste.
And the landfill that dumps such garbage is also three-dimensional.
Hence, the volume module, if the object inside is a solid, either would be
As household numbers rise, landfill space increases.
So,
If H represents the number of household keeps, then it will be a sufficient unit for the purpose of Sophia that is
