Answer:
Step-by-step explanation:
Find two points by entering any value for x and calculating y, using the equation. I chose x values of 4 and -2. This gave two points we can graph:
(4,2) and (-2,-2)
Find those two points on the graph and then connect them with a straight line.
See the attachment.
Answer:
576 N downward
Step-by-step explanation:
I'm assuming by "resistance," the question is talking about the air resistance against it as it falls. As the box falls, it "battles" between the two opposing forces of air resistance (an upward force) and gravity (a downward force). We know the air resistance is 110N, but we still don't know what the force due to gravity is.
Newton's second law gives an equation for the acceleration on an object given its mass and the force acting upon it:

We know that the mass of our box is 70kg, but what's its downward accelaration? When you drop any object, it experiences some acceleration due to gravity. This acceleration depends on how large the mass accelerating it is, but on Earth, this value is roughtly 9.8 m/s² (you'll frequently see the letter <em>g </em>used as a label for this!) We can put this value into our equation, along with the mass of the box, to get our downward force:

This means our box is experiencing <em>686 N </em>of downward force.
<h3>Calculating the net force</h3>
The supply box is experiencing 110 N of upward force due to air resistance and 686 N of downward force due to gravity. Clearly, gravity wins out, so our net force will be directed downwards, but by how much? The upward force is going to cancel out some of the downward force, so we can subtract the 110 N of resistance from the 686 N of gravity to get a net force of
686 - 110 = 576 N downward
The option C) 49 inches is the circumference of the circular mat.
<u>Step-by-step explanation:</u>
- Tricia made a circular mat from a square piece of cloth.
- The measure of the side length of the square = 14 inches.
- The length of the side is same as the diameter of the circle.
- Therefore, the diameter of the circular mat = 14 inches.
<u>To find radius :</u>
Radius = diameter / 2
⇒ 14/2
⇒ 7 inches.
<u>To find the circumference of the circular mat :</u>
Circumference = 2πr
where,
π has the default value of 3.14
r is the radius of the circular mat.
⇒ 2 × 3.14 × 7
⇒ 44 inches.
∴ The circumference of the circular mat is 44 inches.
Since, it is not given in the option. The option C) 49 inches which is close to 44 inches is the right option.
The distance covered by the hare and the tortoise in t seconds are 8t and 5t respectively. (Simple Speed-Distance-Time relation)
The tortoise gets a 510m headstart so at t=0 is 1490m.
The functions representing the distance of both of them from the finish line is,
F(x)=2000-8t,. for hare
G(x)=1490-5t,. for tortoise
You have to turn the whol number back into an improper fraction, then you do what you would regulary do with the division of fractions.