The wall pushes back with an equal and opposite force. So it pushes with a force of 36N in the opposite direction of the push. This allows you to move away from the wall.
Answer:
Substitution method can be used
Step-by-step explanation:
Given the system of equations
y = 2x-1 ....1
-12x + 3y = 9 ....2
The best method to use id the substitution method
Substitute equation 1 into 2;
From 2;
-12x + 3y = 9
-4x + y = 3
-4x + 2x-1 = 3
-2x -1 = 3
-2x = 3+1
-2X = 4
x = -4/2
x = -2
Substitute x = -2 into 1
y = 2x - 1
y = 2(-2)-1
y = -4-1
y = -5
Hence the solution to the system of equation is (-2, -5)
Answer:
Total cost F (w) = 160/w + 200* √(2w)
Step-by-step explanation:
Volume in cubic feet
V (box) = x*y*w and square base means x=y so V= 2 = x^(2)*w
hence x^(2) = 2/w (1)
Area of base and top in square feet, and cost in $
Area(t+b) = 2*x*y = 2x^(2) C(1) = Cost of ( base + top) C(1) = 40*2x^(2)
C(1) =80*x^(2) and from eq. 1
C(1) = 80*2/w = 160/w
Area of sides = 4 * x* w = 4*√((2/w))*w
C(2) = Cost of sides. is: C(2)= 50*4*√((2/w))*w C(2) = 200* √2w
Total Cost = F(c) = 160/w +200*√2w
Answer:
0.375 second and 3.5 second
Step-by-step explanation:
The position can be modeled by a quadratic function
. We are tasked to find the time when a ball reaches a height of 27 feet. Therefore, let h = 27:

Solve for t:

Since the equation is quite complicated and more time-consuming to solve, i'll skip the factoring or quadratic part:

After done solving the equation, you'll get t = 0.375 and 3.5 seconds. These solutions are valid since both are positive values and time can only be positive.
Hence, it'll take 0.375 and 3.5 seconds for a ball to reach 27 feet.
Aloha! My name is Zalgo and I am here to be of assistance to you today. The GCF (Greatest Common Factor) of 14 and 60 would be 12. To the GCF of 24, you need to multiply 2^3 by 3. In order to get the GCF of 60, you need to multiply 2^2 by 3 times 5.
I hope that this info helps! :P
"Stay Brainly and stay proud!" - Zalgo
(By the way, do you think you could mark me as Brainliest? I'd greatly appreciate it! Mahalo! XT)