After a collision between two different massed objects; the larger objects accelerate at a faster rate than the smaller object? If false please explain
why

Answers

Answer 1

Answer: Things continue doing what they are doing unless a force is applied to it. Objects have a natural tendency to resist change. This is INERTIA. Heavier objects (objects with more mass) are more difficult to move and stop. Heavier objects (greater mass) resist change more than lighter objects, so true

Explanation:

Pushing a bicycle or a Cadillac, or stopping them once moving. The more massive the object (more inertia) the harder it is to start or stop. The Cadillac has more of a tendency to stay stationary (or continue moving), and resist a change in motion than a bicycle.


Related Questions

If an electric iron of 1200W is used for 30minutes every day, find electric energy consumed in the month of November. Also calculate bill amount if the rate of 1 unit = Rs 2​

Answers

Answer:

Electric energy produced in the month of April is 18 kWh

Explanation:

Given

P = 1200 W = 1.2 kW      

Use time per day = 30 minutes = 1 / 2 hrs

We know,

No. of days in April = 30 days

Total time iron being used

T = 1 / 2 * 30 = 15 hrs

We know,

Energy consumed = Pt

Substituting the value of P and T

= 1.2 kW * 15 hr

= 18 kWh    

Hence,

Electric energy produced in the month of April is 18 kWh

An object has an average acceleration of + 6.24 m/s ^ 2 for 0.300 s . At the end of this time the object's velocity is + 9.31 m/s . What was the object's initial velocity?

Answers

Answer:

initial velocity = 7.44 m/s   (3 s.f.)

Explanation:

a = 6.24 m/s²     t = 0.300 s     v = 9.31 m/s       u = ?

                               v = u + at

                       9.31 = u + (6.24 x 0.300)

                             9.31 = u + 1.872

                                    u = 7.438

                                    = 7.44 m/s       (3 s.f.)

Hope this helps!

PLEASE HELP!!!!
Suppose a tractor was moving forward at 6.0 m/s. It runs into a pile of hay and is
brought to a stop in 1.1 s. If the tractor had a mass of 2550 kg, with what force did
the pile of hay stop the tractor?
A. -5.5N
B. -14000N
C. 15000N
D. -15000N
E. -0.0021N
F. -0.000072

Answers

Answer:

B )-14000N

Explanation:

F=mv-mu

t

F =2550(0)-2550(6)

1.1

F = -13909.09

approximately -14000N

Suppose a tractor was moving forward at 6.0 m/s. It runs into a pile of hay and is brought to a stop in 1.1 s. If the tractor had a mass of 2550 kg, the force did the pile of hay stop the tractor 14000N

What are the types of force ?

Force can be a unit of  pushing or pulling of any object which result   from the object’s interaction or movement, without applying force the objects can not be moved, can be stopped or change the direction.

Force is a  quantitative parameter between two physical bodies, means an object and its environment, there are various  types of forces in nature.

If an object present in its moving state will be either static or motion, the position of the object will be changed if it is pushed or pulled and The external push or pull upon the object is mainly called as Force.

The contact force  that occurs when we apply some effort on an object such as Spring Force, Applied Force, Air Resistance Force, Normal Force, Tension Force, Frictional Force

Non-Contact forces are the type of forces that occur from a distance  such as Electromagnetic Force, Gravitational Force, Nuclear Force

F=mv-mu

t

F =2550(0)-2550(6)

1.1

F = -13909.09

approximately -14000N

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What is the potential energy of a spring that is compressed 0.65 m by a 25 kg block if the spring constant is 95 N/m?
A. 1.6J
B. 7.9J
C. 15J
D. 20J

Answers

Answer:

D. 20J

Explanation:

Answer:

20 J

Explanation:

yes

A roller coaster travels around a vertical 8-m radius loop. Determine the speed at the top of the loop if the normal force exerted by the seats on the passengers is equal to ¼ of their weight.

Answers

Answer:

[tex]v=10m/sec[/tex]

Explanation:

From the question we are told that

Radius of vertical r= 8m

Force exerted by passengers is 1/4 of weight

Generally the net force acting on top of the roller coaster is give to be

[tex]F_N+Fg[/tex]

where

[tex]F_N =forceof the normal[/tex]

[tex]Fg= force due to gravity[/tex]

Generally the net force is given to be [tex]FC(force towards center)[/tex]

[tex]F_C =F_N + Fg[/tex]

[tex]F_N =F_C -Fg[/tex]

[tex]F_N=F_C-F_g[/tex]

[tex]F_N=\frac{mv^2}{R} -mg[/tex]

Mathematical we can now derive V

[tex]m_g + \frac{8m}{4}= \frac{mv^2}{8}[/tex]

[tex]\frac{5mg}{4} =\frac{mv^2}{8}[/tex]

[tex]v^2 =\frac{40*10}{4}[/tex]

[tex]v=10m/sec[/tex]

Therefore the speed of the roller coaster is given ton be [tex]v=10m/sec[/tex]

[tex]v=10m/s[/tex]

Given:

Radius of vertical r= 8m

To find:

Force exerted by passengers is 1/4 of weight

Generally the net force acting on top of the roller coaster is give to be

[tex]F_N+F_g[/tex]

where

[tex]F_N=\text{Force of Normal}[/tex] and [tex]F_g=\text{Force due to gravity}[/tex]  

Generally the net force is given to be [tex]FC- \text{Force towards centre}[/tex]

[tex]F_C=F_N+F_g\\\\F_N=F_C+F_g\\\\F_N=\frac{mv^2}{r} -mg[/tex]

Mathematically we can now derive V

[tex]mg-\frac{8m}{4} =\frac{mv^2}{8}\\\\\frac{5mg}{4}=\frac{mv^2}{8}\\\\v^2=\frac{40*10}{4} \\\\v=10m/s[/tex]

Therefore, the speed of the roller coaster is given to be 10m/s.

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An object has mass 4 kg. What is its weight (in newton) on earth?​

Answers

i think it’s 78 carrots

Answer:

Should be -39.2 N

Explanation:

w=mg

w=4 x -9.8 m/s2

= -39.2 N

What is the beat frequency heard when two organ pipes, each open at both ends, are sounded together at their fundamental frequencies if one pipe is 48 cm long and the other is 63 cm long?

Answers

Answer:

Beat frequency = 125.5 Hz

Explanation:

Given:

Length of first organ pipes  = 43 cm = 0.43 m

Length of second organ pipes = 63 cm = 0.63 m

Computation:

Wavelength L = λ/2

length λ = 2L

Frequency f1 = v/λ = 340 / 2(0.43)

Frequency f1 = 395.34 Hz

Frequency f2 = v/λ2 = 340/2(0.63)

Frequency f2 = 269.84 Hz

Beat frequency  = Frequency f1 - Frequency f2

Beat frequency = 395.34 - 269.84

Beat frequency = 125.5 Hz

In the attachment there is a density column where there is colour

Question: tell me why is the red at the bottom of the density column if it is the least dense

Answers

because it’s on the bottom, and to get to that part of it, think of it like that scene from moana when they go down into the realm of monsters they go through the thick parts to get to the thin parts, soo the cube wouldn’t be nearly able to reach that level

baseball player hits a line drive estimated to have traveled 145 meters the ball leaves the bat with a horizontal velocity of 40.0 m/s . how much time was the ball in the air

Answers

Answer:

5800

Explanation:

caluculatior

The ball was in the air for 3.625 second.

What is velocity?

Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound).

In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.

A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined.

Given that: the a horizontal velocity of the ball: v = 40.0 m/s .

The ball  traveled 145 meters.

Hence, the time during which the ball is in the air:

= distance travelled/ horizontal velocity of the ball

= 145 meter /  40.0 m/s .

= 3.625 second.

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What is the relationship between the type of energy sublevels present and the
principal energy level?​

Answers

Each principal energy level has one sublevel containing one orbital, an s orbital, that can contain a maximum of two electrons. Electrons in this orbital are called s electrons and have the lowest energy of any electrons in that principal energy level.

A crane raises a 12,000 N marble sculpture at a constant velocity onto a pedestal 1.5 m above the ground outside an art museum. How much work is done by the crane

Answers

For the work, applicate formula:

[tex]\boxed{\boxed{\green{\bf{W = F\times d}}}}[/tex]

According our data:

Replacing:

W = 12000 N * 1,5 m

Resolving:

W = 18000 J

The work done is 18000 Joules.

A stone is dropped into a deep well and is heard to hit the water 5 s after being dropped. Determine the depth of the well.

Answers

Answer:

122.5 m

Explanation:

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

Time (t) = 5 s

Depth (h) =?

The depth of the well can be obtained as:

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

h = ½gt²

h = ½ × 9.8 × 5²

h = 4.9 × 25

h = 122.5 m

Thus, the depth of the well is 122.5 m

4. You’re driving a car that can climb a maximum gradient of 500m/km. The hill in front of you starts at an elevation of 20m and reaches 100m. The total distance up the hill is 1.5km? What is the gradient of the hill and will your car make it?

Answers

Answer:

Gradient of the hill is 53.33m/km which is lesser than the 500 m/km. So, he will be able to climb the hill conveniently.

Explanation: Given that

Maximum gradient = 500 m/km

Total distance = 1.5 km

Starting elevation = 20 m

Final elevation = 100 m

Gradient = change in elevation/ total distance.

Now, substitute the values into the formula.

Gradient = (100m - 20m)/1.5km

= 80m/1.5km

= 53.33m/km

Gradient of the hill is 53.33m/km which is lesser than the 500 m/km. So, he will be able to climb the hill conveniently.

A ball is thrown horizontally from the top of a building 100m high. The ball strikes the ground at a point 120 m horizontally away from and below the point of release. What is the magnitude of its velocity just before it strikes the ground?​

Answers

Answer:

44.3 m/s

Explanation:

Given that a ball is thrown horizontally from the top of a building 100m high. The ball strikes the ground at a point 120 m horizontally away from and below the point of release.

What is the magnitude of its velocity just before it strikes the ground ?

The parameters given are:

Height H = 100m

Since the ball is thrown from a top of a building, initial velocity U = 0

Let g = 9.8m/s^2

Using third equation of motion

V^2 = U^2 + 2gH

Substitute all the parameters into the formula

V^2 = 2 × 9.8 × 100

V^2 = 200 × 9.8

V^2 = 1960

V = 44.27 m/s

Therefore, the magnitude of its velocity just before it strikes the ground is 44.3 m/s approximately

Calculate the translational speed of a cylinder when it reaches the foot of an incline 7.05 mm high. Assume it starts from rest and rolls without slipping.

Answers

Height is 7.05 m and not 7.05 mm

Answer:

9.603 m/s

Explanation:

We are dealing with rotation, so velocity of centre of mass is given by;

v_cm = Rω

Since we are working with a solid cylinder, moment of inertia of the cylinder is; I = ½mR²

Since it is rolled from the top to the bottom, at the top it will have potential energy(mgh) while at the bottom it will have kinetic energy (rotational plus translational kinetic energy).

Using conservation of energy, we have:

P.E = K.E_t + K.E_r

Formula for rotational and kinetic energy here are;

K.E_t = ½mv²

K.E_r = ½Iω²

mgh = ½mv² + ½Iω²

Since we want to find translational speed(v), let's get rid of ω.

Earlier, we saw that v_cm = Rω

Thus; ω = v/R

Also, we know that I = ½mR².

Thus;

mgh = ½mv² + ½(½mR²)(v/R)²

This gives;

mgh = ½mv² + ¼mv²

Divide through by m to get;

gh = v²(½ + ¼)

gh = ¾v²

Making v the subject gives;

v = √(4gh/3)

v = √((4 × 9.81 × 7.05)/3)

v = 9.603 m/s

I’m confused help me

Answers

Answer:

you select what ever feels right to you if you think what it tells you is true then you would say strongly agree and if you don't agree then it would be any of the other options

Do field forces exist in nature?

Answers

Answer:

Yes, field forces exist in nature.

Explanation:

A field force is a force experience due to an interaction with fields. In this case, a contact is not required before the force can be felt.

The three major field forces are: magnetic field, electric field and gravitational field. The magnetic fields are produced due to the interaction between the north and south poles of a magnet, the electric field is one from charges, while gravitational field is a force of attraction due to gravity on the earth. All these fields occur in nature, therefore making field forces to exist in nature.

Sugar crystals enter a dryer at the rate of 1000 kg h-1 and at 20% w.b. moisture content. They leave the dryer at 3% w.b. moisture content. If the drying process requires 3000 kJ kg-1 of water removed, estimate the amount of heat required per hour and the rate of dry crystals out of the dryer.

Answers

Answer:

The dryer evaporate 200 - 24.74 kg of water per hour

To remove 1kg of water it need 3000 K J

So to remove, 175.26 Kg

it need 5.257x [tex]10^{5}[/tex] KJ of heat per hour.

Explanation:

In one hour, the amount of sugar entering = 1000 kg

w.b moisture content is defined as,

weight of water / weight of water + weight of dry

[tex]W_{w}[/tex]/[tex]W_{w}[/tex] + [tex]W_{d}[/tex] x 100

[tex]W_{w}[/tex] + [tex]W_{d}[/tex] = 1000 kg when entering

it has 20% moisture content when entering

[tex]W_{w}[/tex] = 0.2 x 1000 = 200 kg

when leaving it has 3% moisture content then weight of dry material

[tex]W_{d}[/tex] = 1000 - 200 = 800 Kg

[tex]\frac{W_{w}^{'} }{W_{w}^{'} + W_{d}^{'} }[/tex] = 0.03

[tex]\frac{W_{w}^{'} }{W_{w}^{'} + 800 }[/tex] = 0.03

[tex]W_{w} ^{'}[/tex] = 0.03 x [tex]W_{w} ^{'}[/tex] + 0.03 x 800

[tex]W_{w} ^{'}[/tex] = 24.74 kg

When leaving the dryer, the crystals has total weight of the water = 24.74 kg per hour.

The dryer evaporate 200 - 24.74 kg of water per hour

To remove 1kg of water it need 3000 K J

So to remove, 175.26 Kg

it need 5.257x [tex]10^{5}[/tex] KJ of heat per hour.

what is the answer to what does a 150 kg roller coaster traveling at 10m/s has how much kinetic energy

Answers

The answer to the question is 15 kinetic energy

Do you think antiseptic creams and lotions play an important part in our day
to day life? ​

Answers

Answer:

no, otherwise they just cause a side effect on our lives

yes, it keeps your skin from getting burnt when you play out side so much.

A particle of mass m collides with a second particle of mass m. Before the collision, the first particle is moving in the x-direction with a speed 2v and the second particle is at rest. After the collision, the second particle is moving in the direction 45o below the x-axis and with a speed √2v.
a) Find the velocity of the first particle after the collision. (i.e. find the x-and y-components of the velocity.)
b) Find the total kinetic energy of the two particles before and after the collision.
c) Is the collision elastic or inelastic?

Answers

Answer:

a) v, v

b) 2mv^2

c) Elastic collion

Explanation:

(a) The velocity of the second particle after the collision is (v2x,v2y)=(v,−v).  From momentum conservation in x-direction

Here x, y represent direction.They are not variable. 1 and 2 represent before and after.

2vm=v1xm+v2xm, we find v1x=v.

From momentum conservation in y-direction

0 =v1ym+v2ym, we findv1y=v.

(b) By energy conservation principle

Before: K=1/2m(2v)^2=2mv^2.

After: K=1/2m(v^2(1x)+v^2(1y))+12m(v22x+v22y)=2mv^2

(c) The collision is elastic

Based on the three-cell model of global circulation, surface winds diverge in the vicinity of:________.
a. the polar front
b. subpolar lows
c. the equator
d. the north and south poles

Answers

Answer:

a. the polar front

Explanation:

When the surface winds move towards the pole at angles that range from 30 to 60 degrees, they usually collide with cold air moving towards the equator. Since these two winds do not mix with ease, the polar front helps to separate them.

The three-cell model assumes that the earth is entirely filled with water thus removing any interactions with the land. It also assumes that there are no seasons nor Coriolis force.

Fon of the assignment will be graded by your teacher Question: In a lab experiment, A square of black paper and a square of white paper are place directly under 100-watt lamps for 30 minutes. Predict what happens to the temperature of each paper during the experiment.​

Answers

Answer: OVERVIEW

Students will use black and white construction paper and a light source to learn that dark objects

absorb more light and reflect less light than bright objects. The activity also demonstrates the conversion

of radiant light energy into heat energy.

CONCEPTS

• Dark surfaces absorb more visible light energy than bright surfaces

• Dark surfaces reflect less visible light energy than bright surfaces

• Energy can change forms, in this case from radiant light energy to heat

• Clouds, being bright, reflect significant amounts of sunlight and help to regulate Earth’s temperature

MATERIALS

• 2 thermometers

• Flood lamp, desk lamp, or area in direct sunlight

• Ruler

• Construction paper, 1 piece white, 1 piece black, or 2 sheets photocopy paper

• Scissors

• Cellophane tape or rubber bands

• 2 empty metal food cans, same size (be sure rims are not jagged)

PREPARATION

The paper and the cans can be prepared beforehand or prepared as part of the activity (see Procedure).

Although two cans with their tops completely removed can be used, the experiment will be more effective

(have fewer external effects), if only holes are placed in the cans’ lids, e.g., two holes from a bottle opener

to empty material out of the can, and one center hole created with an awl for the thermometer. Only one

hole is actually needed for the experiment - for the thermometer. Cans can optionally be filled with water,

or this can be done as a separate experiment to demonstrate the higher heat capacity of water compared to

air.

You can either use a flood lamp or a desk lamp (light bulb) to simulate sunlight, as described here, or

you can place the cans on a windowsill (window closed) or other sheltered area in direct sunlight. A flood

lamp will be the most effective option, causing the largest temperature increases.

PROCEDURE

Engagement

Discuss whether dark surfaces (e.g., asphalt) or bright surfaces (e.g., concrete) tend to get hotter in

sunlight. Which would you rather walk on during the day in the summertime? What color are solar cells,

for example those found on some calculators or freeway call boxes?

Explanation: I hope this helps! ∧    ∧

                                                ⊂∵→ω←∵⊃

A 30° incline permanently sits on a 1.1 meter high table. Starting from rest a ball rolls off the incline with a velocity of 2m/s.
a. Calculate the length of the incline
b. calculate the horizontal and vertical components of the velocity at the end of the incline.​

Answers

It would be a good game for you but if I get a pic I don’t want you can you come to my crib I just

You heat up a 3.0 kg aluminum pot with 1.5 kg of water from 5 to 90o Celsius. The specific heat capacity of Aluminum is 900 J/kgK. (a) How much energy did it take to heat the pot of water

Answers

Answer:

765,000Joules or 765kJ

Explanation:

The Quantity of heat required is expressed as;

Q = (mcΔt)al + (mcΔt)water

m is the mass

c is specific heat capacity

Δt is the change in temperature

Q = (3(900)(90-5)) + (1.5(4200)(90-5))

Q = 2700*85 + 6300*85

Q = (2700+6300)85

Q = 9000*85

Q = 765,000

Hence the amount of energy needed is 765,000Joules or 765kJ

A sinusoidal wave with wavelength 0.500 m travels along a string. The maximum transverse speed of a point on the string is. 4.00 m/s and the maximum transverse acceleration is 1.00 x 105 m/s2. What is the propagation speed of the wave

Answers

Answer:

The velocity [tex]v = 1989.2 \ m/s[/tex]

Explanation:

From the question we are told that

    The wavelength is [tex]\lambda = 0.500 \ m[/tex]

     The maximum transverse speed is  [tex]v = 4.0 \ m/s[/tex]

      The maximum transverse acceleration is  [tex]a = 1.00 *10^{5} \ m/s^2[/tex]

Generally the frequency of the wave is mathematically represented as

                    [tex]f = \frac{w}{2 \pi }[/tex]

Here  w  is the angular speed which is mathematically evaluated as

      [tex]w = \frac{a}{v}[/tex]

=>    [tex]w = \frac{1.00 *10^{5}}{4}[/tex]

=>    [tex]w = 25000 \ rad/sec[/tex]

So

       [tex]f = \frac{ 25000 }{2 * 3.142 }[/tex]

=>    [tex]f = \frac{ 25000 }{2 * 3.142 }[/tex]

=>    [tex]f = 3978.4 \ Hz[/tex]

Gnerally the propagation speed of the wave is mathematically represented as

        [tex]v = f * \lambda[/tex]

=>      [tex]v = 3978.4 * 0.500[/tex]

=>      [tex]v = 1989.2 \ m/s[/tex]

A hydrogen atom that has lost its electron is moving east in aregion where the magnetic field is directed from south to north. Itwill be deflected:_____________
a. up
b. down
c. not at all

Answers

Answer:

a. up

Explanation:

As per the rule of Fleming left hand, the three fingers should be places in a perpendicular manner i.e. mutually also.

The fore finger depicts the field direction

The middle finger depicts the velocity

And, the thumb finger depicts the force direction that experienced on that particle i.e. charged

So the electrons would be deflects to up

Hence, the correct option is a.

An athlete swings a 6.90-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.830 m at an angular speed of 0.680 rev/s.
(a) What is the tangential speed of the ball?
m/s
(b) What is its centripetal acceleration?
m/s2
(c) If the maximum tension the rope can withstand before breaking is 110 N, what is the maximum tangential speed the ball can have?
m/s

Answers

Answer:

a) 0.5644 m/s

b) ~0.384 m/s^2

c) ~3.638 m/s

Explanation:

a) Tangential speed is found be the radius*rotational speed, so it is 0.83*0.68 = 0.5644 m/s

b) Centripetal acceleration is found by v^2/r, so it is (0.5644^2)/0.83 = ~0.384 m/s^2

c) Let the tangential speed be v. The maximum centripetal force 110 N (as given). Centripetal force = mass*centripetal acceleration = mass*v^2/r (because centripetal acceleration is found by v^2/r). Inputting the values from the problem and solving for v, we get:

110 = 6.9*v^2/0.83

v = sqrt(110*0.83/6.9) = ~3.638 m/s

I hope this helps! :)

A car is traveling at a constant speed along the road ABCDE shown in the drawing. Section Ab and DE are straight. Rank the acceleration in each of the four sections according to magnitude (smallest first).
-AB & DE tie, CD, BC
-all tie
-CD, BC, AB & DE tie
-AB & DE tie, BC , CD
-BC, CD, AB & DE tie

Answers

Answer:

AB = DE <CD <BC

Explanation:

This is an exercise in kinetics, the accelerations defined as the change in velocity over the time interval, therefore the accelerations of a vector.

Because the acceleration is a vector, it has two parts, the modulus that the numerical value of the magnitude and the direction, a change in any of them implies the existence of a relationship.

Let's apply these reasoning to our problem.

AB Path  

this path is straight and as they indicate that the constant speed the acceleration is zero

DE path

This path is straight and since the velocity is constant the zero steps

BC path

This path is a curve and the velocity modulus is constant, but its directional changes therefore there is an acceleration called centripetal, given by the expression

         [tex]a_{c}[/tex] = v² / r

where r is the radius of the curve and the direction of acceleration is towards the center of the curve

CD path

This path is a curve and it also has centripetal acceleration, as can be seen in the drawing, the radius of the curve is greater than in section BC, therefore the acceleration is less

              [tex]a_{BC}[/tex] > [tex]a_{CD}[/tex]

In  summary lower accelerations are

 AB = DE <CD <BC

Two identical blocks fall a distance H. One falls directly down, the other slides down a frictionless incline. Which has the larger speed at the bottom?

Answers

The question incomplete, the complete question is;

Two identical blocks fall a distance H. One falls directly down, the other slides down a frictionless incline.

(A)the one falling vertically

(B)the one on the incline

(C)Both have the same speed.

(D)cannot be determined

Answer:

(C)Both have the same speed.

Explanation:

When we consider the question closely, we will discover that an object falling down a frictionless incline is comparable to an object falling freely under gravity.

In both instances, the acceleration of objects is just the same irrespective of mass.

Hence, the object falling vertically and the object sliding down a frictionless plane will have the same speed at the bottom.

Other Questions
The Martinex twins, Carlos and Clarita, are trying to find a way to make money during the summer vacation. When they overhear their aunt complaining about how difficult it is to find someone to care for her pets while she will be away on a trip, Carlos and Clarity know they have found the perfect solution. Not only do they have a large, unused storage shed on their property where they can house animals, they also have a spacious fenced backyard where the pets can play. Carlos and Clarita are making a list of some of the issues they need to consider as part of their business plan to care for cats and dogs while their owners are on vacation.A:Cat pens will require 6ft2 of space, while dog runs require 24ft2. Carlos and Clarita have up to 360ft2 available in the storage shed for pens and runs, while still leaving enough room to move around the cages.Utilize the information about space available to write a two variable equation to represent the amount of space used for boarding the cats and dogs. Start-up Costs: Carlos and Clarita plan to invest much of the $1280 they earned from their last business venture to purchase cat pens and dog runs. It will cost $32 for each cat pen and $80 for each dog run. Write a two variable equation to represent the start-up costs for boarding the cats and dogs. and Graph the two equations one the same x, y plane in Desmos B: Clarita and Carlos realize after looking at the graphed equation models they do not have to use all of the available space nor do they need to use all of the start up money. They decide to explore a system where they can better visualize and plan for up to and including the available space and start up funds.Change your original equations into inequalitiesis screenshot C: Of course, Carlos and Clarita want to make as much money as possible from their business, so they are trying to determine how many of each type of pet they should plan to accommodate. They plan to charge $8 per day for boarding each cat and $20 per day for each dog. After surveying the community regarding the pet boarding needs, Carlos and Clarita are confident that they can keep all of their boarding spaces filled for the summer. So the question is, how many of each type of pet should they prepare for? Their dad has suggested the same number of each, perhaps 12 cats and 12 dogs. Would the dads suggestion be possible? Why or why not? What was the most accurate description of the conditions on the slave ship? The-tale heart. Write a paragraph explaining what is different and the same in the media and text. Can someone help me with this one Can anyone help me with this I feel like im overthinking. The radius of a circle is 10 centimeters. What is the length of a 45 arc? CAN SOMEONE HELP ME PLEASE???? At the local video store, you can rent a video game for $3. You also have to pay a $10 membership fee. Write an equation to model the total cost, y, of renting x video games for $3 each and the $10 membership fee. Create a table of values. Use values of x from 0 to 5. What is the total cost of 9 video games and the rental fee? Simplify x^3 * x^5 Rewrite the expression in the form x^n Which detail from the excerpt best indicates that one of the authors purposes in writing It's Our World, Too!: Young People Who Are Making a Difference was to create suspense?When they entered the board's meeting room, Neto was terrifiedThey were alone with the ten white men who were the members of the Marsing school board.I couldn't believe I was really doing this," Neto recalls."Then I heard Baldy say, 'Neto wants to talk with you about the football team.' what is effects of Rolfe plants tobacco what is causes for "Better relations occur between colonists and the powhatans after 1614. what is causes for The colonist and powhatans live together peacefully for a while? Fencing costs 13.25 per metre.How much does 12.5 m cost? What can individuals do to help shape a new government? People that believe political, military, and economic relations with other countries should be limitedare called:OA. PacifistsOB. lsolationistsC. IndustrialistsD. Imperialists A. y=2x-3B. y=2x+2C. y=5x-3D. y=5x-1 Best answer is awarded brainliest!!Do you know anything about Oscar de la Hoya? Which sport did he used to play? Where is he from? What were some of his achievements from his sporting career? Write three sentences in Spanish. need help asap no trolls please!! The price of a 7-minute phone call is $2.45. What is the price of an 18 -minute phone call? Gracie made cupcakes for a bake sale. She bought a cake mix for $4.79, a dozeneggs for $2.99, a bottle of vegetable oil for $6.79, and a can of frosting for $5.25.What were her total expenses for the cupcakes?$21.45$19.82$18.92 What's the answer to this? Which details would be most important to include in a summary of "Going Down Hill on aBicycle. A Boy's Song"?Use two details from the poem to support your responseGIVING OUT BRAINLIST Steam Workshop Downloader