Add the following vectors:

(a) (12, 5) + (6, 3)
(b) (−3, 8) + (6, −2)
(c) (3, 8, −7) + (7, 2, 17)
(d) (a, b, c) + (d, e, f)

Answer:

Pushups will improve your biceps. Pull ups will improve your core and abdomen

Answer: Eh, we would be dead...

Explanation: First off, the moon is orbiting us for one reason, gravity. and if the switch for gravity just flicked off, poof! The moon would be speeding away at 1,000-2,000 hours! And the reason that we orbit the sun is gravity too. So every planet would fling into space. Everything in the UNIVERSE would fling into space. That much flying debris would eventually smash into earth. Well, if we did survive that, then we would freeze instantly because when we travel too far away from the star that we orbit, the planet would become very life-threateningly cold. And in this case, we are traveling away from the sun, which is the star we orbit. If we still manage to survive THAT, then we...would actually die from the start, cuz what holds our planet together? You guessed it-gravity.

Answer:

18 m/s west

Explanation:

The correct option is C. 23 m/s east

Conservation of momentum states that For two or more bodies in an isolated system acting upon each other, their total momentum remains constant unless an external force is applied. Therefore, momentum can neither be created nor destroyed.

using conservation of momentum

m1v1 + m2v2 = m1 v1' + m2 v2'

Given

m1 = 3154 kg

v1= 6m/s

m2 = 8296 kg

v2 = 23 m/s

v1' = 7m/s

v2' = ?

3154 * 6 + 8296 * 23 = 3154 * 7 + 8296 v2'

209732 - 22078 = 8296 v2'

187654 = 8296 v2'

v2' = 22.62 ≈ 23 m/s east

correct option is C. 23 m/s east

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Answer:

3/4 0r 0.75

Explanation:

Let E represent the extra cash.

Let R represent the amount raised.

From the question given above, we can say that:

The extra cash (E) is directly proportional to the amount raised (R) i.e

Extra cash (E) ∝ Amount raised (R)

E ∝ R

E = KR

NOTE: K is the constant of proportionality.

With the above formula, we can obtain the value of K as follow:

Extra cash (E) = $ 75

Amount raised (R) = $ 100

Constant of proportionality (K) =?

E = KR

75 = K × 100

Divide both side by 100

K = 75/100

K = 3/4 0r 0.75

Thus, the constant of proportionality is 3/4 0r 0.75

Answer:

Kinetic energy

Answer:

Explanation: use f= ma

we get 1000 ÷ 500 = a

∴ a = 2 m/s²

When a mass of 500 Kg with the force 1000N, the acceleration produced is equal to 2m/s².

According to Newton’s second law of motion, the force equals the mass of the object times acceleration when the object has constant mass.

This law states that acceleration depends on two variables. The first variable is the mass and the net force acting on the body. The acceleration is directly proportional to the net force acting and inversely proportional to the mass.

Newton’s second law can be represented in the equation as follows:

[tex]F= ma[/tex]

or, [tex]a =\frac{F}{m}[/tex]

Acceleration or gaining speed happens when a force acts on an object.

Given the mass of the object, m= 500 Kg

The force applied on the object, F = 1000N

The acceleration produced in the mass, a = F/m = 1000/500 = 2m/s².

Therefore, the mass accelerates at a rate of 2m/s².

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Answer:

10.77 m

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 32 m/s

Angle of projection (θ) = 27°

Acceleration due to gravity (g) = 9.8 m/s²

Apogee i.e maximum height (H) =?

Thus, the apogee i.e the maximum height of the pumpkin can be obtained as follow:

H = u² Sine² θ /2g

H = 32² × (Sine 27)² / 2 × 9.8

H = 1024 × (0.454)² / 19.6

H = (1024 × 0.206116) / 19.6

H = 10.77 m

Thus, the apogee i.e the maximum height of the pumpkin is 10.77 m.

Answer:

3

Explanation:

Answer:

sqrt (3) : sqrt (2)

Explanation:

Given that Two wires A and B made of the same material and having the same lengths are connected across the same voltage source.

Since they are both made of the same material, they will have the same resistivity.

Resistance is directly proportional to the length of the wire and inversely proportional to the cross sectional area.

Resistance R =1/ πr^2

If the power supplied to wire A is six times the power supplied to wire B, that is,

Pa = 6Pb

Where

Power P = IV

Since the same voltage passes through both wires,

P = V^2/R

Substitutes resistance R into the equation .Therefore,

V^2 ÷ 1 / πr^2 = 6( V^2 ÷ 1 / πr^2 )

V will cancel out , leaving

πr^2 = 6πr^2

Pi( π) will also cancel out. And since diameter d = 2r

r = d/2

Substitutes r into the equation

(d/2)^2 = 6( d/2)^2

d^2/4 = 6( d^2/4)

d^2/4 = 3d^2/2

da^2/2 = 3db^2

(Da/Db)^2 = 3/2

Da : Db = sqrt (3) : sqrt (2)

therefore, the ratio of their diameters is

sqrt (3) : sqrt (2)

The ratio of the diameter of Wire A to Wire B is; √6 : 1

Since both wires are made of the same material, they will definitely have the same resistivity.

Formula for the resistance with area is;

R = 1/A = 1/(πr²)

We are told that the power supplied to wire A is six times the power supplied to wire B. Thus;,

Pa = 6Pb

Since the same voltage passes through both wires, then formula for power in both cases is; P = V²/R. Thus;

V² ÷ (1/πr_a²) = 6(V² ÷ (1/πr_b²))

V and π will cancel out to give;

r_a² = 6r_b²

We know that radius; r = d/2

Thus;

(d_a/2)²= 6(d_b/2)²

d_a²/4 = 6(d_b²/4)

(d_a/d_b)² = 6

d_a/d_b = √6 : 1

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Answer:

Humans' internal body temperature is a great example of homeostasis. ...

Glucose is the most basic form of sugar, and the only type the body can use directly. ...

When bacteria or viruses that can make you ill get into your body, your lymphatic system kicks in to help maintain homeostasis.

Explanation:

Answer:

I'm leaning twards A

Explanation:

Answer:

Option D, is closest to the answer = 950.

Answer: D. 9.5x102 kilogram.meters/second

Explanation:

correct for plato

Answer:

acceleration

Explanation: how fast something can get to a certain speed

Answer: d. newton.

Explanation: The SI unit of force is the  

a. joule.

b. kilogram.

c. meter.

Answer:

The answer is B on edge.

Explanation:

Good day :)

Answer:

The answer is 198.23 kg

Explanation:

To find the mass of an object given it's mass and acceleration we use the formula

where

m is the mass

F is the force

a is the acceleration

From the question

a = 92.54 m/s²

F = 18,344 N

We have

We have the final answer as

198.23 kg

Answer:

198.22

Explanation:

using m=f/a you divide the force by the acceleration to get the mass (18344 / 92.54) = 198.22

Answer:

So, if the car slips in mud it will either skid or slide depending on the size of the mud puddle.

Does this work?

Answer:

[tex]F= 17,075\ N[/tex]

Explanation:

When the car is under an accelerating force and hits a tree, the instant force received by the tree is the same force that is accelerating the car.

The accelerating force can be calculated using Newton's second law:

[tex]F=m\cdot a[/tex]

Where m is the mass of the car and a is the acceleration.

[tex]F=3,415\ kg\cdot 5\ m/s^2[/tex]

[tex]\boxed{F= 17,075\ N}[/tex]

Answer:

A. Digestive

Explanation:

Answer:

digestive system

Explanation:

since the digestive system secretes enzymes like amylase,lipase etc. required by the body for the proper breakdown of food.

Answer:

The size will increase.

Explanation:

When you bend a plastic ruler, it's size will increase because it is elastic and will exhibit elastic deformation. When it is been bent, it will continue to stretch until it get to a point where it will not be able to regain it formal shape, it size wound of increase. Therefore when the ruler get to elastic limit and you have bend it to the point it cannot regain it's formal shape back, it will remain bent and if further force is apply on it,it will break.

Answer:

If the force is higher then the resitance o fht eobject then force will make object accelerate.

Explanation:

Does that make sense. If you need something else as an answer tell me in the comments and please mark with a heart and brainliest. If you don't mind

We know:

Force =Mass×Accerlation

[tex]∴Accerlation = \dfrac{force}{mass} [/tex]

So by seeing this formula we came to know that accerlation is directly proportional to force and inversely proportional to mass.

So by increase of force acceleration also increases.

Answer:

i think C is the answer

Explanation:

The gravitational force between the Earth and Moon will increase by cutting the distance between the Earth and Moon in half. Hence, option (C) is correct.

The given problem is based on the concept of gravitational force. The force of attraction between the two massive bodies in a space is known as the gravitational force. Let us consider the mass of Earth and moon as M and m such that the gravitational force between each is,

[tex]F = \dfrac{G \times M \times m}{R^{2}}[/tex]

Here,

G is the universal gravitational constant.

R is the distance between the Earth and Moon.

Clearly, the forces between the Earth and Moon varies directly with the masses of Earth and Moon and inversely with the distance between the Earth and Moon. Since, masses are the constant parameters, hence reducing the distance will increase the gravitational force.

Thus, we can conclude that the gravitational force between the Earth and Moon will increase by cutting the distance between the Earth and Moon in half. Hence, option (C) is correct.

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Answer:

Velocity is the rate at which the position changes. The average velocity is the displacement or position change (a vector quantity) per time ratio.

Hope this helps! ^-^

Answer:

Velocity is the speed at which something moves in one direction.

Explanation:

Hope this helps : )!!

Answer: 71.6. hope this helped

Explanation:

There are 32.5% of overweight Americans.

Answer:

12.5m/s

Explanation:

Simplify the proportion.

200/16 = 100/8 = 50/4 = 25/2 = 12.5