Answer:
d = 1.46 m
Step-by-step explanation:
We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:
From the question given above,
F is inversely proportional to square of d. This can be written as:
F ∝ 1/d²
F = K/d²
Cross multiply
K = Fd²
But:
Force (F) = 0.006 N
Distance (d) = 4 m
Constant (K) =?
K = Fd²
K = 0.006 × 4²
K = 0.006 × 16
K = 0.096 Nm²
Therefore, the relationship between the force (F) and the distance (d) is:
F = K/d²
F = 0.096 / d²
Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:
Force (F) = 0.045 N
Constant (K) = 0.096 Nm²
Distance (d) =?
F = K/d²
0.045 = 0.096 / d²
Cross multiply
0.045 × d² = 0.096
Divide both side by 0.045
d² = 0.096 / 0.045
Take the square root of both side.
d = √(0.096 / 0.045)
d = 1.46 m.
Answers:
11.) B. -1/3
12.) A. -1
46.56923077 pizzas. Use a calculator dummy.
Answer:
x=5/2, -4.
Step-by-step explanation:
3(2x-5)(x+4)=0
(2x-5)(x+4)=0/3
(2x-5)(x+4)=0
2x-5=0, x+4=0
2x=0+5,
2x=5,
x=5/2,
x+4=0
x=0-4=-4
Answer:
It's D.
Step-by-step explanation:
Hope this helped. Have a wonderful day! Adios