A dog running of constant speed of 3m/s increases it's speed to 7m/s upon seeing a lion. if the mass of the dog is 20kg, the work it does in achieving the new speed is.......​

Answers

Answer 1

A dog running of constant speed of 3m/s increases it's speed to 7m/s upon seeing a lion. if the mass of the dog is 20kg, the work it does in achieving the new speed is.......​ 400 J.

What is Speed?

Speed is the time rate at which an object is travelling along a path, whereas velocity is the pace and direction of an object's movement. In other words, velocity is a vector, whereas speed is a scalar valu

Work = Change in Kinetic energy

= ½m(v² - u²)

= ½ × 20 kg × [(7 m/s)² - (3 m/s)²]

= 10 kg × 40 m²/s²

= 400 J

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Related Questions

How many hours would it take a plane to fly 1,500 miles if it was moving at a constant speed of 300 miles/hour? Include units!

Best answer gets brainliest!

Answers

Answer:

5 hours

Explanation:

distance/speed= time

1500/300= 5

what rays gives more heat from the sun?

Answers

ANSWER

Vertical rays

EXPLANATION

We have two types of rays from the sun: vertical rays (direct sunlight), which are those rays that hit the surface of Earth vertically, and slanted rays (indirect sunlight), which are those that hit the surface with an angle less than 90° with the surface. We can appreciate both in the following diagram,

As is shown in the diagram, direct sunlight hits the surface in a smaller area than indirect sunlight. This way, the vertical rays are more concentrated than slanted rays and, therefore, give more heat - note that the energy provided by those rays will be concentrated in a smaller area.

Hence, vertical rays give more heat from the sun.

Answer:

slanted rays that is correct

A flowerpot falls from a window sill 34.6 m
above the sidewalk.
What is the velocity of the flowerpot when
it strikes the ground? Choose upwards to be
the positive y direction. The acceleration of
gravity is 9.81 m/s²

Answers

The velocityof the flowerpot when it strikes the ground is 26.04.

What is velocity.

velocity is the prime indicator of the position as  well as the rapidity of an  object. It can be  defined as distances covered by an object in unit of the time. velocity can  defined as the displacement of the object in unit of the time .

Sol- As we know when the object is simply falls it's initial velocity is 0.

Therefore u=0

Given question is flowerpot traveled 34.6 before striking the ground.

Therefore s=34.6

We have to find v?

v^2= u^2+2gs

v^2= 0+2gs

v=√2gs

v=√2×9.81×34.6

v=26.04

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2. A saucepan containing 2 kg of water is heated. 400 kJ of energy is transferred. Calculate the temperature
increase of the water.
The specific heat capacity of water is 4200 J/kg °C. Give your answer to four significant figures.

Answers

The temperature increase of the 2 kg water if 400 kJ of energy is transferred is 47.62 °C

q = m c ΔT

q = Heat

m = Mass

c = Specific heat

ΔT = Change in temperature

q = 400 KJ

m = 2 kg

c = 4200 J/kg °C

ΔT = q / m c

ΔT = 400 * 10³ / 2 * 4200

ΔT = 47.62 °C

The quantity of heat energy required to change the temperature of particle by 1 °C is known as heat capacity. Specific heat capacity is the heat capacity is calculated for 1 gram of matter.

Therefore, the temperature increase of water is 47.62 °C

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Jenny experiences an average downward force of 441 N anywhere she goes on Earth. Calculate her mass

Answers

Answer:

Given,

Force = 441 N

mass = ?

Keep in mind that acceleration due to gravity is constant 10m/s.

Force = mass × acceleration due to gravity

mass = Force / acceleration due to gravity

m = 411 N /10m/s

m = 41.1 kg

Therefore her Jenny mass is 41.1 kg.

Which of the following examples is NOT an example of energy transfer?bringing water to a boilba boat being accelerated by the force of the enginecrain falling from a clouddwaves in the ocean

Answers

Rain falling from a cloud is not an example of energy transfer.

A stone is thrown upword from the top of a 59.4m high cliff with an upword velocity component of 19.6m/s how long is stone in the air?

Answers

The time taken up to which the stone will be in the  air is 4.01 seconds.

Here we are dealing with free falling which is referred to as A free falling object is an object that's falling beneath the sole impact of gravity. Any object that's being acted upon as it were by the force of gravity is said to be in a state of free fall. As we are given the velocity which is 19.6 m/s and the height which is 59.4 m.

So the in the first case when the stone travels for a certain distance until its velocity becomes zero.

The formula we are referring to for calculating the maximum height which is v² = u² - 2gh , where v is the final velocity , u is the intial velocity  ,g is the acceleration due to gravity and  h is the height.

So at  v=0

=> h=  u²/2g

=> h = (19.6)2/( 2*9.8)= 19.6 m

Whereas when the stone starts to freely fall, so  

h = 1/2*gt², here the time taken will be, t = √(2h/g)

where h = sum of the height of the building and the height traveled after the throw

which is 19.6 m+59.4 =79

So , t = √(2h/g)

=>t = √2*(79) /9.8 = 4.01 second

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A. Thermal to Chemical to Electrical to MechanicalB. Mechanical to Chemical to Electrical to Thermal C. Electrical to Chemical to Mechanical to ThermalD. Chemical to Thermal to Mechanical to Electrical

Answers

Given:

Coal-fired power plant

Required:

Energy transformation in coal-fired power plant.

Explanation:

Coal has chemical energy.

When the coal is heated, the chemical energy transforms into thermal energy.

Thermal energy is used to rotate the blade of the turbine, so thermal energy transforms into mechanical energy.

The rotating blades produce electricity, so mechanical energy transforms into electrical energy.

Final Answer: The energy transformation of a coal-fired power plant is chemical to thermal to mechanical to electrical.

Which of the Figures correctly represents the force diagram to solve the problem?

Answers

ANSWER

Figure 1

EXPLANATION

We want to identify the correct force diagram acting on the object on the inclined plane.

When an object is moving on an inclined plane, there are four forces acting on it:

1. Friction force, Fr

2. Normal force, FN

3. Component of weight acting parallel to the inclined plane = Wsinθ

4. Component of weight acting perpendicular to the inclined plane = Wcosθ

Therefore, the correct option is Figure 1.

A car of mass 1101 kg traveling at 18.39 m/s collides and sticks to a car with a mass of 1050 kg initially at rest. What is the resulting velocity of the two cars right after the collision, assuming that there's no friction present?

Answers

Answer: the resulting velocity of the two cars right after the collision is 9.41 m/s

Explanation:

The formula for calculating momentum is expressed as

momentum = mass x velocity

According to the law of conservation of momentum, initial momentum = final momentum

The formula for initial momentum is

m1u1 + m2u2

where

m1 = mass of first car

u1 = initial velocity of first car

m2 = mass of second car

u2 = initial velocity of second car

From the information given,

m1 = 1101

u1 = 18.39

m2 = 1050

u2 = 0 because it is at rest

Initial momentum = 1101 x 18.39 + 1050 x 0 = 20247.39

Since the cars stick together after collision, they would have a common velocity, V. Thus,

final momentum = (m1 + m2)V

final momentum = (1101 + 1050)V = 2151 V

Thus,

20247.39 = 2151 V

V = 20247.39/2151

V = 9.41

the resulting velocity of the two cars right after the collision is 9.41 m/s

A converging lens has a focal point of 3.93 cm. If you place an apple 19.24 cm away from the lens, where would the image be formed? Submit your answer in meter.

Answers

Given

The focal length , f=3.93 cm

The object distance, u=-19.24cm

To find

The image distance

Explanation

By lens formula we have,

[tex]\begin{gathered} \frac{1}{v}-\frac{1}{u}=\frac{1}{f} \\ \Rightarrow\frac{1}{v}-\frac{1}{(-19.24)}=\frac{1}{3.93} \\ \Rightarrow\frac{1}{v}=0.202 \\ \Rightarrow v=4.95cm=0.0495\text{ m} \end{gathered}[/tex]

Conclusion

The image distance is 0.0495 m

free fall is any motion of a body where is the only force acting upon it

Answers

free fall is any motion of a body where is the only force acting upon it is gravity.

Pls answer. Will rate 5 start and give a Thanks or Brainliest.
What are the characteristics of the Sun? (Select all that apply.)
Group of answer choices
The Sun is the center of our solar system and radiates energy.
The Sun is a medium-sized star compared to other stars in the universe.
The Sun has planets and dwarf planets that orbit it.
The Sun is composed of helium and hydrogen.
The Sun is near the end of its life.

Answers

The Sun is composed of helium and hydrogen. Option C.

The photosphere chromosphere and corona are all part of the Sun's atmosphere. Although the corona is sometimes called the solar atmosphere it is actually the sun's upper atmosphere. The sun's atmosphere includes features such as sunspots, coronal holes, and solar flares the sun is a star.

It's a huge spinning ball of hot gas. The sun is like a star in the night sky. Because we are so close it appears much larger and brighter than other stars. The sun is the center of the solar system and accounts for most of the mass of the solar system. Compared to the billions of other stars in the universe, the sun stands out. But for the Earth and the other planets orbiting around it, the Sun is a powerful focal point.

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Given 2 concentric wheels; what weight will an applied force FA of 40.0N down and tangent to the 18.0 cm radius wheel will balance an unknown weight tangent and down on the 10.0 cm radius wheel? Draw the situation

Answers

The given problem can be exemplified using the following diagram:

We will determine the magnitude of the force "F" that will balance the concentric wheels.

To do that we will add the torques produced by the forces. If the torque is counterclockwise we will set it a positive and if it is clockwise it will be negative.

[tex]T_{40}-T_F=0[/tex]

Where:

[tex]\begin{gathered} T_{40}=\text{ torque produced by the 40 N force} \\ T_F=\text{ torque produced by the unknown force. } \end{gathered}[/tex]

The sum of toques adds up to zero because we want to determine the force "F" when the system is in equilibrium.

Now, we substitute the formula for the torques:

[tex]F_{40}r_{18}-Fr_{10}=0[/tex]

Where:

[tex]\begin{gathered} r_{18}=\text{ 18 cm radius} \\ r_{10}=\text{ 10 cm radius} \end{gathered}[/tex]

Now, we solve for the force "F":

First, we will add "Fr10" to both sides:

[tex]F_{40}r_{18}=Fr_{10}[/tex]

Now, we divide both sides by r10:

[tex]\frac{F_{40}r_{18}}{r_{10}}=F[/tex]

Now, we plug in the values:

[tex]\frac{(40N)(18\operatorname{cm})}{10\operatorname{cm}}=F[/tex]

Solving the operations:

[tex]72N=F[/tex]

Therefore, the required force is 72N.

Can an object have a net negative charge of 2.00 x 10^-19

Answers

We will have that as long as the object is a conductor it will be able to have a net negative charge of 2.00*10^-9 C.

What is the acceleration of a car,
moving along a straight line, that
increases its velocity from 0 to 15

m/s in 10 s?

Answers

acceleration = change of velocity / time interval
so for your problem we have
A=15/10
A=1.5m/s

What is the mass of a 37.0 Nweight?m =?] kgEnter

Answers

Answer:

m = 3.8 kg

Explanation:

The weight can be calculated as follows:

[tex]W=m\cdot g[/tex]

Where m is the mass and g is the gravity. So, replacing the weight by 37 N and the gravity by 9.8 m/s², we get:

[tex]37\text{ N = m}\cdot9.8m/s^2[/tex]

So, solving for m, we get:

[tex]\begin{gathered} \frac{37}{9.8}=\frac{m\cdot9.8}{9.8} \\ 3.8\operatorname{kg}\text{ = m} \end{gathered}[/tex]

Therefore, the answer is m = 3.8 kg

Set the cannon to have an initial speed of 25 m/s. For which situation do you think the cannon ball will be in the air for the longest time: if it is set at a 25-degree angle, or if it is set at a 35-degree angle?

Question 5 options:

25 degree


35 degree

Answers

The cannon ball will travel the highest distance when the angle of projection is 35 degrees.

What is the maximum height of a projectile?

The maximum height reached by a projectile is calculated using the following formula.

H = u²sin²θ/2g

where;

u is the initial velocity of the projectile θ is the angle of pojectiong is acceleration due to gravity

when the angle of projection is 25 degrees;

H = (25² (sin 25)²) / (2 x 9.8)

H = 5.7 m

when the angle of projection is 35 degrees;

H =  (25² (sin 35)²) / (2 x 9.8)

H = 10.5 m

Thus, the cannon ball will travel the highest distance when the angle of projection is 35 degrees.

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A hockey stick 1.1 m long completes a swing in 0.15 seconds through a range of 85°. Assume a uniform angular velocity. What is the linear distance moved by the end of the stick? What is the tangential velocity of the end of the stick?

Answers

The linear distance and the tangential velocity of the end of the stick are 1.63 m and 10.9 m/s respectively.

What is rotational motion?

Rotational motion is the motion of a body around a circular path, in a fixed orbit. The dynamics for rotational motion are entirely analogous to linear or translational dynamics. The equations for rotating objects are similar to the motion equations for linear motion.

Given, the length of the hockey stick, r = 1.1 m

The hockey stick completes one swing in time, t = 0.15 sec

The angle θ = 85° = 1.483 rad

The average angular velocity of the hockey stick,

ω = θ/t = 1.483rad/0.15s = 9.9 rad/s

The linear distance moved by the end of the hockey stick:

L = rθ = 1.1× 1.483 = 1.63 m

The tangential velocity of the end of the hockey stick:

v = rω = 1.1 × 9.9 = 10.9 m/s

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I am not sure if this is true or false. Please help

Answers

We have the formula of Newton's second law

[tex]F=ma[/tex]

Where F is the force, m is the mass and a is the acceleration.

If we isolate the acceleration

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

As we can see if the mass increases the acceleration will decrease

Therefore the answer is FALSE

You can buy 50 rolls of toilet paper for $12.50. Write a ratio showing the unit rate of rolls per $1.

Answers

Answer:

[tex]\frac{4R}{1D}\Rightarrow\text{ 4 rolls per \$1}[/tex]

Explanation: We need to find the unit rate or rate of rolls per $1:

[tex]50\text{rolls }\Rightarrow\text{ 4=\$12.50}[/tex]

To find the number of rolls per one dollar we simply need to take the ratio of the two as follows:

[tex]\frac{50R}{12.50D}\Rightarrow(1)[/tex]

Simplifying (1) gives the answer as follows:

[tex]\begin{gathered} \frac{50R}{12.50D}=\frac{4R}{1D} \\ \end{gathered}[/tex]

The answer therefore is:

[tex]\text{4 rolls per \$1}[/tex]

Which of the following scenarios where a ball is in motion describes balanced forces? (choose only one answer choice) Select one or more: a. 2, 4, and 5 b. 1, 3, and 4 c. 2 and 4 d. 1, 2, and 5

Answers

The scenario where a ball in motion describes balanced forces is 1, 3, and 4. That is option B.

What is motion?

Motion is defined as the movement of an object from one position to another with respect to time.

There are different type of motion which include the following:

linear motion,

rotary motion,

reciprocating motion,

oscillating motion.

Periodic motion, and

Circular motion.

When an object is in motion, the forces acting on them are said to be balanced when they are equal in magnitude and in opposite directions.

1N + 3N = 4N

This shows that the forces 1N + 3N which is equal to 4N are equal and opposite.

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The oscilloscope can be used to measure AC frequency by counting the number of _____________ per unit time.A. PeaksB. Complete wavesC. ValleysD. Partial wavesJust please give me the answer, no explanation.

Answers

The oscilloscope can be used to measure AC frequency by counting the number of complete waves (Option B).

What is an oscilloscope?

An oscilloscope is a tool used to measure voltage by observing how the electrical signals from different types of waves may change over a given unit or period of time, which is useful to monitor a client's heartbeat and brain waves.

Therefore, with this data, we can see that an oscilloscope is a device used to measure waves (in this case brain waves) in order to indicate a given outcome associated with electrical signals.

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Oil having a density of 924 kg/m? floats onwater. A rectangular block of wood 3.59 cmhigh and with a density of 975 kg/m° floatspartly in the oil and partly in the water. Theoil completely covers the block.How far below the interface between thetwo liquids is the bottom of the block?Answer in units of m.

Answers

A diagram of the given problem is the following:

To determine the distance "x" from the interface between the water and the oil of the block we need to add the forces that are acting on the system. We have the following:

Where:

[tex]\begin{gathered} F_b=\text{ force of the block} \\ F_w=\text{ force of the water} \\ F_{o\text{ }}=\text{ force of the oil} \end{gathered}[/tex]

Since the system is in equilibrium this means that the total sum of forces adds up to zero:

[tex]F_b-F_w-F_0=0[/tex]

Now, the force is the product of the pressure by the area, therefore, we have:

[tex]P_bA-P_wA-P_0A=0[/tex]

We can cancel out the area:

[tex]P_b-P_w-P_0=0[/tex]

The pressure is the hydrostatic pressure and is given by:

[tex]P=\rho gh[/tex]

Where:

[tex]\begin{gathered} \rho=\text{ density} \\ g=\text{ acceleration of gravity} \\ h=\text{ height} \end{gathered}[/tex]

Substituting in the equation we get:

[tex]\rho_bgh_b-\rho_wgh_w-\rho_ogh_0=0_{}[/tex]

Now, we substitute the values of the heights according to the first diagram:

[tex]\rho_bgh_b-\rho_wgx-\rho_og(h_b-x)=0_{}[/tex]

Now, we solve for "x". To do that we will apply the distributive property on the parenthesis:

[tex]\rho_bgh_b-\rho_wgx-\rho_ogh_b+\rho_ogx=0_{}[/tex]

Now we associate terms according to the value of the height:

[tex]\rho_bgh_b-\rho_ogh_b-\rho_wgx+\rho_ogx=0_{}[/tex]

Now, we take common factors:

[tex](\rho_b-\rho_o)gh_b+(-\rho_w+\rho_o)gx=0_{}[/tex]

We can cancel out the gravity:

[tex](\rho_b-\rho_o)h_b+(-\rho_w+\rho_o)x=0_{}[/tex]

Now, we bring the terms with the height of the block to the right side:

[tex](-\rho_w+\rho_o)x=-(\rho_b-\rho_o)h_b[/tex]

Now, we divide both sides by the factor of "x":

[tex]x=-\frac{(\rho_b-\rho_o)}{(-\rho_w+\rho_o)}h_b[/tex]

Now, we plug in the values:

[tex]x=-\frac{(975\frac{kg}{m^3}-924\frac{kg}{m^3})}{(-1000\frac{kg}{m^3}+924\frac{kg}{m^3})}(0.0359m^)[/tex]

We converted the height of the block using the following conversion factor:

[tex]100cm=1m[/tex]

Now, we solve the operations, we get:

[tex]x=0.024m[/tex]

Therefore, the distance between the interface and the bottom of the block is 0.024 meters.

If the lines in problem below, have a resistance of 100-Ω, calculate the change of voltage along each line. We are asked to determine the current given the power and the voltage. To do that we will use the following formula:P=IVWhere:P= powerI= currentV= voltageNow, we divide both sides by "V":PV=INow, we convert the power from "kW" to "W" using the following conversion factor:1kW=1000WMultiplying by the conversion factor we get:200kW×1000W1kW=200000WNow, we plug in the values in the formula:200000W48000V=ISolving the operations:4.2A=ITherefore, the current is 4.2 Amp.

Answers

Resistance 100

Current 4.2A

Based on the information of the last point, we know the current and now we have the resistance. With these two numbers we can calculate the drop of voltage generated by the resistance.

Is important to highlight that we asume the same current for each line because the current is constant in all the parallel lines.

[tex]\begin{gathered} V=IR \\ V=100\Omega\cdot4.2A \\ V=420V \end{gathered}[/tex]

. In one day, the temperatures of a desert range from 110°F in the afternoon to 55°F at night. What
is this temperature range on the Kelvin scale?

Answers

Answer:

30.5555°K

Can be rounded to 30.56°K

Explanation:

The relationship between °C and °K is
°K = °C + 273.15

To convert °F to °K, first convert °F to °C and then add 273.15

°C = (°F - 32) x 5/9

So combining the two conversions we get
°K = (°F - 32) x 5/9 + 273.15

55°F = (55-32) x 5/9 + 273.15 = 285.9278°K

110°F = (110-32) x 5/9 + 273.15 = 316.4833°K

Temperature range in Kelvin scale

= 316.4833°K - 285.9278°K = 30.5555°K

IfWhile shopping in England, Sally notices the cost of bananas is £2.10/kg. Sally isn't familiar with Great Britain Pounds (GBP) or kilograms, and needs to convert the unit price into dollars per pound. You may assume the conversion rate from dollars to GBP is $1 to £0.77, and there are 2.2lbs to 1kg. Round your answer to the nearest cent.

Answers

Each pound costs $1.2 in unit pricing.

Sally notes that the price of bananas in England is £2.10/kg.

Applying the exchange rate from dollars to British pounds (GBP), if $1 = £0.77, then £2.10 would be calculated as 2.10/0.77, or 2.72.

Using the pounds to kilograms conversion rate, 1 kilogram equals 2.2 pounds.

Consequently, the price per unit in dollars would be 2.72/2.2 = $1.236.

If we round to the nearest cent, the price per pound is $1.2.

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A tetherball leans against the smooth, frictionless
post to which it is attached (Figure 1). The string is
attached to the surface of the ball such that a line
along the string passes through the center of the
ball. The string is 1.40 m long, and the ball has a
radius of 0.110 m with mass 0.280 kg.

Answers

After thoroughly calculating we have come to find that, the tension in the string is 2.752 N

What is tension?

In physics, tension is defined as the pulling force transmitted axially by a string, cable, chain, or other similar object, or by each end of a rod, truss member, or other similar three-dimensional object.

Tension can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements. Compression's opposite, tension, is possible.

We know that

Tension = (Mass × gravity) / cos∅

Here given that

Mass = 0.280kg

Gravity = 9.8 m/s²

∅ = 4.2°  

Lets substitute the values and we get

Tension = (280g × 9.8 m/s²) / cos4.2°  

Tension = 2.752 N

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Full question

A tetherball leans against the smooth, frictionless

post to which it is attached (Figure 1). The string is

attached to the surface of the ball such that a line

along the string passes through the center of the

ball. The string is 1.40 m long, and the ball has a

radius of 0.110 m with mass 0.280 kg. What is the

tension in the string?

Consider a house with a floor space of 200 m2and anaverage height of 3 m at sea level, where thestandard atmosphericpressure is 101.3 kPa.Initially the house is at a uniformtemperature of 10°C.Now the electric heater is turned on, andthe heater runs until the air temperature in the house risesto anaverage value of 22°C. Determine how much heat is absorbedby the air assuming some airescapes through the cracks asthe heated air in the house expands at constant pressure. Also,determine the cost of this heat if the unit cost of electricity inthat area is $0.075/kWh.

Answers

9038 kJ of heat is absorbed by the air assuming some air escapes through the cracks as the heated air in the house expands at constant pressure, and cost of this heat if the unit cost of electricity in that area is $0.075/kWh is $0.19.

What is pressure?

In the physical sciences, pressure is defined as the perpendicular force per unit area or the stress at a point within a confined fluid.

A 42-pound box with a bottom area of 84 square inches will press down on a surface with a pressure equal to the force divided by the area over which it is applied, or half a pound per square inch.

The specific heat of air at room temperature is

[tex]C_p[/tex] = 1.007 kJ/kg⋅°C              

 

The volume and mass of the air in the house are

V = Floor space × height

   = (200 m² )(3m)

   = 600 m ³

Mass = PV/RT

         = [tex]\frac{(1013 kPa)(600 m^3 )}{(0287 kPa.m/kg.K)(10+273.15 K)}[/tex]

         = 7479 kg

The amount of heat that must be transferred to the air in the house as it is heated from 10 to 22°C is calculated, taking into account that the pressure in the house remains constant during heating, as follows:

Q = [tex]mC_p[/tex] [tex](T_2 - T_1)[/tex]

   = (747.9 kg)(1.007 kJ/kg⋅ °C)(22 – 10) °C

   = 9038 kJ

Noting that 1 kWh = 3600 kJ, the cost of this electrical energy at a unit cost of $0.075/kWh is

Enegy Cost = (Energy used)(Unit cost of energy)

                    = (9038/3600 kWh)($0.075/kWh)

                    =  $0.19

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Find the equation of a line passing through (8, 43.6) and (4.5, 26.3)

Answers

5x + y = 3.6 equation of a line going between (8, 43.6) and (4.5, 26.3).

Write about a vector?

Having independent properties for both size and direction, a quantity or phenomenon is referred to as a vector. The representation of a quantity in mathematics or geometry is another use of the term. In nature, vectors include things like force, momentum, weight, electromagnetic fields, and velocity.

Exactly what is a unit vector?

Unit vectors are those that have a magnitude that is exactly one unit. They are quite useful for a variety of reasons. The unit vectors [0,1] and [1,0] in particular can be combined to create any other vector.

The slope of the line joining points A(8,43.6) and B(4.5,26.3) is given by the equation m= y2-y1/x2-x1=26.3-43.6/4.5-8 = 5.

Consequently, the equation for the line that is required is given by y-y1 = m. (x-x1)

y- 43.6 = 5(x-8) =5x + y = 3.6.

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PLEASE HELP I LITERALLY HAVE 10 MINUTES!! 40 POINTSSS What is theformula weight of zinc phosphate? Provide an answer to two decimalplaces. When twenty is reduced by one-third of a number, the result is 19. Find the number. Kipling appears to have favored imperialism. According to Kipling, nations must send their "best ye breed" to other continents to wait "in heavy harness." He also refers to outsiders as "captives,". It appears that Kipling believed that Westerners were more developed than citizens of non-Western countries. (02.05 MC)Given f(x) and g(x) = f(kx), use the graph to determine the value of k.-3-1/31/33 A line passes through the point (-4, 1) and has a slope of -2.Write an equation in slope-intercept form for this line. The formula V=4/3 pie r3 gives the volume with radius r. Find the volume of a sphere with radius x+9. Write your answer as standard form. In which sentence is the direct object underlined?OA) My sister put her backpack on the table.OB) My sister put her backpack on the table.OC) My sister put her backpack on the table.OD) My sister put her backpack on the table. each of the following situations involves the flow of heat energy. for each scenario, specify the primary mode (conduction, convection, or radiation) by which the energy is transferred. which statement about chemical reactions is true?A) The reaction rates are always constantB) The reaction rates can increaseC) The reaction rates cannot changeD) The reaction rates cannot decrease I messed up and didnt show this for my last question, so sorry on my part. Evaluate the function for the following values f(-2)=f(0)=f(3)= Alex is fourteen years old and he is also nine years older than his sister Kristen. How old is Kristen? Justin has $7.50 more than Eva, and Emma has $12 less than Justin. Together, they have a total of $63.00. Write an equation to determine how much money each person has. How did colonization affect the Indigenous peoples of the Pacific Northwest? Choose four correct answers.The Tlingit people traded with both Britain and Russia.The Haida people were the first to meet explorers from Spain.The Mowachaht sold land to Britain for the price of two pistols.The Unangax people were forced to work for Russian colonizers.The Coast Miwok people helped Britain locate the Northwest Passage.The Shoshone people helped guide American explorers Lewis and Clark. Choose the best estimate for the quotient. - See image inserted you need to determine the density of a ceramic statue. if you suspended from a spring scale, the scale reads 28.4 n. if you than lower the statue into a tab of water, so that it is completely submerged, the scale reads 17.0 n. what is the statue density? a country with a very low per capita gdp can have a very high growth rate because mathematically, when the ratio numerator denominator is lower higher the same , even a small difference in the numerator denominator ratio will result in a large growth rate. Research on Adverse Childhood Experiences (ACEs) have been shown to:be nonrelated to later psychopathology, but predictive of later marital problems.be helpful in developing successful coping skills in children.be predictive of later psychopathology.be non-predictive of later psychopathology. What does "note" mean in this passage?A. to mentionB. to send a short messageC. to give a fast lookD. To win The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator. PLEASE HELP ASAP