compute the range of the figures into the table
Answer:
P versus NP is the following question of interest to people working with computers and in mathematics: Can every solved problem whose answer can be checked quickly by a computer also be quickly solved by a computer? ... NP problems are fast (and so "easy") for a computer to check, but are not necessarily easy to solve.
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
just do the comparation
Vb : Vs
b for big and s for small
4/3 π rb³ : 4/3 π rs³ (since there are 4/3 and π on both side, we can eliminate them so)
Vb : Vs = rb³ : rs³
Vb : Vs = (2rs)³ : rs³
Vb : Vs = 8rs³ : rs³ (delete the r³ on both side)
Vb : Vs = 8 : 1
so Vb is 8 times larger in volume than the small one
Answer:
x = {0, 4y}
Step-by-step explanation:
Simplifying
3x(x + -4y) = 0
(x * 3x + -4y * 3x) = 0
Reorder the terms:
(-12xy + 3x2) = 0
(-12xy + 3x2) = 0
Solving
-12xy + 3x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '3x'.
3x(-4y + x) = 0
Ignore the factor 3.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:
Simplifying
x = 0
Solving
x = 0
Move all terms containing x to the left, all other terms to the right.
Simplifying
x = 0
Subproblem 2
Set the factor '(-4y + x)' equal to zero and attempt to solve:
Simplifying
-4y + x = 0
Reorder the terms:
x + -4y = 0
Solving
x + -4y = 0
Move all terms containing x to the left, all other terms to the right.
Add '4y' to each side of the equation.
x + -4y + 4y = 0 + 4y
Combine like terms: -4y + 4y = 0
x + 0 = 0 + 4y
x = 0 + 4y
Remove the zero:
x = 4y
Simplifying
x = 4y
Solution
x = {0, 4y}
Answer:
cost of 1 pencil = ₹12
cost of 5 pencil = 12×5 = 60
1) money for the payment = ₹60
2) Money return by shopkeeper = ₹40