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.
So she earns $60 per day working, but only saves $50. To solve this equation you have to multiply $50 to each day she works. If the total has to be exactly $2,000 then you must multiply 50 x 36.4 and that equals $2,000.
Your answer should be 36.4 days.
Answer:
y = -2x + 12
Step-by-step explanation:
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
I will use the first point (1, 10) and the last point (5, 2)
Plug in these values:
(2 - 10) / (5 - 1)
Simplify the parentheses.
= (-8) / (4)
Simplify the fraction.
-8/4
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the last point (5, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -2(5) + b
To find b, multiply the slope and the input of x(5)
2 = -10 + b
Now, add 10 to both sides to isolate b.
12 = b
Plug this into your standard equation.
y = -2x + 12
This is your equation.
Check this by plugging in the other point you have not checked yet (1, 10).
y = -2x + 12
10 = -2(1) + 12
10 = -2 + 12
10 = 10
Your equation is correct.
Hope this helps!
He gets 2 stars for every correct answer.....the minimum number of correct answers needed = 12/2 = 6
Hello
x - 7
for x = 23 = 23 - 7 = 16
3 a - b = 12 - 6 = 6
8/t = 8/4 = 2
9 + m = 9 + 1.5 = 10.5
1/2 w + 2 = 1/2 x 1/9 + 2 = 1/18 + 2 = 1/18 + 36/18 = 37/18
5 ( 6.2 + z ) = 50