A robin in flight has 20.8 J of PE when it is 27.6 m high. What is the mass of the robin? (Unit = kg)

Answers

Answer 1

Answer:

[tex] \boxed{ \bold{ \purple{0.0769 \: kg \: }}}[/tex]

Explanation:

[tex] \sf{Potential Energy ( P.E ) \: = \: 20.8 \: joule}[/tex]

[tex] \sf{distance \: = 27.6 \: metre}[/tex]

[tex] \sf{mass = }[/tex] ?

[tex] \sf{acceleration \: due \: to \: gravity = 9.68 \: {metre \: per \: second}^{2} }[/tex]

Now, let's find the mass:

[tex] \sf{PE \: = mass \times gravity \: \times \: distance}[/tex]

plug the values

⇒[tex] \sf{20.8 = m \times 9.8 \times 27.6}[/tex]

Multiply the numbers

⇒[tex] \sf{20.8 = 270.48 \: m}[/tex]

Swap the sides of the equation

⇒[tex] \sf{270.48m = 20.8}[/tex]

Divide both sides of the equation by 270.48

⇒[tex] \sf{ \frac{270.48m}{270.48} = \frac{20.8}{270.48} }[/tex]

Calculate

⇒[tex] \sf{0.0769}[/tex] kg

Hope I helped!

Best regards!!

Answer 2

Answer:

[tex]\huge \boxed{\mathrm{0.0769 \ kg}}[/tex]

Explanation:

[tex]\displaystyle \sf Mass=\frac{Potential \ energy}{Acceleration \ of \ gravity \times Height}[/tex]

[tex]\displaystyle m=\frac{PE}{gh}[/tex]

[tex]\mathrm{We \ need \ to \ find \ the \ mass.}[/tex]

[tex]\displaystyle m=\frac{20.8}{9.8 \times 27.6}[/tex]

[tex]m= 0.0769[/tex]


Related Questions

what is the difference between science and trickery?

Answers

Answer:

science is the intellectual pratical activity encompassing the scientific study of structure of the physical and natural world through observations while trickery is the practice if decep5

Please help ASAP!! I need a good grade on this!!!!

What is Momentum Quick Check

1) A billiard ball moves with 3 kg•m/s of momentum and strikes three other billiard balls. What is the total momentum of the balls after the collision?
A)3kg•m/s
B)It depends on the mass of each ball
C)More than 3kg•m/s
D)Less than 3kg•m/s

An object has a mass of 5kg and a velocity of 20m/s. What is the momentum of the object?
A)4kg•m/s
B)0.25kg•m/s
C)25kg•m/s
D)100kg•m/s

A small rock bounces off the windshield of a moving car and experienced a large change in velocity. How does the car’s momentum change?
A)It has a much smaller change in momentum that that of the rock in the opposite direction
B)it has a change in momentum greater than that of the rock in the opposite direction
C)it has a change in momentum equal to that of the rock in the opposite direction
D)it does does not change

Two objects in a closed system collide while moving directly toward each other. Each has a mass of 1.00kg and is moving at 1.80 m/s. What is the total momentum after the collision?
A)1.80 kg•m/s
B)3.60 kg•m/s
C)0.90 kg•m/s
D)0.00 kg•m/s

An object has a velocity of 5m/s and a momentum of 100 kg•m/s. What is the mass of the object?
A) 500 kg
B) 20 kg
C) 0.05 kg
D) 105kg

Answers

Answer:

1A) 3kg * m/s

2D) 100

3, Guess: A smaller change of momentum

4, Guess: A, 1.80

5B) 20

Explanation:

(1)  The total momentum of the balls after collision is 3 kg.m/s

(2) The momentum of the object is 100 kg.m/s

(3) The change in the car's momentum is equal to change in the rock's momentum in opposite direction.

(4) The total momentum of the objects is 0 kg.m/s

(5) The mass of the object is 20 kg.

(1) From the principle of conservation of linear momentum, total initial momentum before collision is equal to the momentum after collision.

initial momentum = final momentum

Thus, the total momentum of the balls after collision is 3 kg.m/s

(2) Linear momentum is defined as the product of mass and linear velocity of an object.

momentum of the object is calculated as;

P = mv

P = 5 x 20

P = 100 kg.m/s

(3) Apply the principle of conservation of linear momentum;

[tex]m_1u_1 + m_2u_2 = m_1v_1 + m_2 v_2[/tex]

In order to ensure that momentum is conserved;

if u₁ is smaller than u₂, then v₁ must be greater than v₂

Let u₁ represents the initial velocity of the small rock and u₂ is the initial velocity of the moving car. In this case, the momentum of the car is bigger.

To conserve the momentum, the final velocity of the rock v₁ must be greater than the final velocity of the car. When this happens, the rock will experience a large change in velocity.

From the equation above will have;

[tex]m_1u_1 + m_2u_2 = m_1v_1 + m_2 v_2\\\\m_1u_1 - m_1v_1 = m_2v_2 - m_2u_2\\\\\Delta P_{rock} = \Delta P_{car}[/tex]

Thus, the change in the car's momentum is equal to change in the rock's momentum in opposite direction.

(4) In a closed system the momentum will be conserved;

Initial momentum = final momentum

Total momentum = final momentum  + Initial momentum

The total momentum = 1 x 1.8  +  1 x (-1.8)

Note: the negative sign is because one is moving in opposite direction

The total momentum = 1.8 kg.m/s  - 1.8 kg.m/s = 0 kg.m/s

(5) The mass of the object is calculated as;

[tex]m = \frac{P}{v} \\\\m = \frac{100}{5} \\\\m = 20 \ kg[/tex]

Learn more here:https://brainly.com/question/24424291

a child hits a ball with a force of 350 N. (a) If the ball and bat are in contact for 0.12 is, what impulse does the ball receive? (b) what is its change in momentum?

Answers

Explanation:

(a) Impulse is force times time.

J = FΔt

J = (350 N) (0.12 s)

J = 42 Ns

(b) Change in momentum is equal to impulse.

J = Δp

Δp = 42 Ns

Answer:

A.4200Ns

Explanation:

Impulse=Force*Time

I=F*t

350N*0.12s

=42Ns

A bus travels 6 km east and the 8 km south. The magnitude of the bus's resultant displacement is km

Answers

Answer:

Displacement, d = 10 km

Explanation:

It is given that,

Distance covered by the bus in east direction is 6 km and the distance covered by the bus in south direction is 8 km.

We need to find the resultant displacement. Displacement is the shortest path covered by an object. It can be given by :

[tex]d=\sqrt{6^2+8^2} \\\\d=\sqrt{36+64}\\ \\d=10\ km[/tex]

So, the displacement of the bus is 10 km.

Question 2 (1 point)
(01.01 MC)
Blake is a member of the cross-country track team and runs six days a week. He also helps around the house by washing his family's cars,
mowing the grass, and taking out the garbage and recycling. Which of the following describes a possible benefit of Blake's physical activity
point)
O
a
Blake may be less likely to commit to a healthy future.
Ob
Blake may have a decreased chance of disease.
Oc
Blake may require more assistance performing daily tasks.
O
Blake may struggle to achieve healthy body fat levels.

Answers

Answer: Blake may have a decreased chance of disease.

Explanation:

Research has shown that on average, a person who engages in more physical activity will live longer than a person who does not with one reason for this being that engaging in physical activity helps reduce the risk of diseases such as; heart disease, diabetes, and many forms of cancer.

Obesity (risk factor) and high blood pressure are also reduced by engaging in physical activity.

The statement "Chimpanzees like to eat fruit" is an example of a(n)
a. qualitative observation
C. inference
b. quantitative observation
d. prediction

Answers

It is actually inference because inference is using observation and background to reach a logical conclusion

Answer:

inference

Explanation:

took the test hope I helped :p

solve P= a+b+c for B

Answers

Answer:

b = - a - c + p

Explanation:

P= a+b+c : move the b over to the other side.

-b + p = a + c : move p over the other side.

-b = a + c - p : now just convert the a + c - p into,

b = -a - c + p

The required solution is b = -a - c + p for arithmetic equation p = a+b+c.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that equation as

⇒ p = a+b+c

Rearrange the term b to the other side and solve for b

⇒ -b + p = a + c

Rearrange the term p to the other side

⇒ -b = a + c - p

Multiply by (-1) the equation, and we get

⇒ b = -a - c + p

Therefore, the required solution is b = -a - c + p.

Learn more about the equation here:

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Expand (2x + y) (2x - y).​

Answers

Answer: 4x²-y²

Explanation:

FORMULA

a²-b²=(a+b)(a-b)

-----------------------------

(a+b)(a-b)=a²-b²

(2x+y)(2x-y)=(2x)²-(y)²

                  =4x²-y²

Hope this helps!! :)

Please let me know if you have any question

A particle has a displacement of 12m towards east, then 5m towards north and then 6m vertically
upwards what is the magnitude of the sum of these displacements ?
1) 10.28m
2) 14.32m
3) 22.42m
4) 30.82m​

Answers

Answer:

D = 14.31 m

Explanation:

It is given that,

Displacement due east is 12 m

Displacement due north is 5 m

Displacement in vertically upward direction is 6 m

We need to find the magnitude of the sum of these displacements. We know that, vertically upward, east and north are mutually perpendicular direction. So, the resultant is given by :

[tex]R=\sqrt{12^2+5^2+6^2} \\\\R=\sqrt{144+25+36} \\\\R=14.31\ m[/tex]

So, the magnitude of the sum of these displacements is 14.31 m.

I have no idea of how to approach this problem

Answers

Answer:

p=1

Explanation:

Well me know that v=m/s

and that a=m/s^2

so

[tex](m/s)^{2} = (m/s^2)(x^p)\\\\(m^2/s^2)/(m/s^2)=x^p\\\\m^2s^2/ms^2=x^p\\\\(m^2/m)(s^2/s^2)=x^p\\\\m=x^p\\\\p=1[/tex]

Note: We don't take into account 2 because it's a scalar, it doesn't have units so it doesn't add anything to the equation.

Express the following units into their basic units
a)neuton
b)joule

Answers

One newton is the force needed to accelerate one kilogram of mass at the rate of one metre per second squared in the direction of the applied force.

The joule has base units of kg·m²/s² = N·m. A joule is defined as the work done or energy required to exert a force of one newton for a distance of one metre.

Mega drives a car from Town A to the Town B with velocity of 30 km/h. At the same time, Anton go from Town B to the Town A with velocity of 60 km/h. If the space between Town A and Town B is 140 km, count the space when they meet each other! Please explain

Answers

Answer:

The space when they meet each other is from town A = 46.67km

s= ut

Let's consider x as the distance from town A to the meeting point:

Time duration,

Mega taken = Anton taken

x/ 30 = (140 - x)/ 60

2x = 140- x

3x = 140

x = 46.67km

A child goes down a slide, starting from rest. If the length of the slide is 2 m and it takes the child 3 seconds to go down the slide, what is the child's acceleration?

Answers

Answer:

0.44 m/s^2

Explanation:

initial velocity = 0  (since the child starts from rest)

distance covered by the child = 2 m (the length of the slide)

time taken = 3 sec

acceleration of the child = ?

using Newton's equation of motion

s = [tex]ut + \frac{1}{2}at^{2}[/tex]

where s is the distance covered by the child

u is the initial velocity

a is the acceleration

t is the time spent

substituting values, we have

2 = 0(3) + [tex]\frac{1}{2}a*3^{2}[/tex]

2 = 9a/2

4  = 9a

a = 4/9 = 0.44 m/s^2

A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes 3.5 s for the boat to travel from its highest point to its lowest, a total distance of 0.57 m. The fisherman sees that the wave crests are spaced 5.8 m apart.
(a) How fast are the waves traveling?
(b) What is the amplitude of each wave?
(c) If the total vertical distance traveled by the boat were 0.30 m but the other data remained the same, how would the answers to parts (a) and (b) be affected?

Answers

Answer:

1.2 m/s

0.31 m

0.15 m

Amplitude is 0.31 m

The waves are traveling at 1.2 m/s

The amplitude would be 0.15 m. The speed would remain the same.

(i think) (but try it)

Please helppp....What are 5 examples of real science

Answers

Answer:

dynamics

kinematics

fluid mechanisms

earth science and

physics

A cylinder has a radius of 4 inches (in.) . If its volume is 144 pi cubic inches (in.^ 3 ) what is the height of the cylinder?

Answers

Answer:

18 inches of cube

Explanation:

(PLEASE HELP THANK YOU) A car is going 8 meters per second on an access road into a highway and then accelerates at 1.8 meters per second squared for 7.2 m seconds. How fast is it then going?

Answers

Answer:

20.96 m/s

Explanation:

Apply the kinematic equation:

Vf=Vi+at

Vi=8m/s

a=1.8m/s^2

t=7.2s

Putting this all in should give you your answer of 12.96m/s

The unit of pressure is a derived unit.why?​

Answers

Pressure—the effect of a force applied to a surface—is a derived unit, obtained from combining base units. The unit of pressure in the SI system is the pascal (Pa), defined as a force of one Newton per square meter. ... A standardized prefix system indicates fractions and multiples of metric units (e.g. milli-, mega-).

Answer:

[tex] \fbox{ \text{See \: below}}[/tex]

Explanation:

[tex] \star[/tex] The unit of pressure i.e Pascal is derived from fundamental units : kilogram , metre and second. So , it is called a derived unit.

[tex] \text{Hope \: I \: helped ! }[/tex]

[tex] \text{Best \: regards !!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

Prompt Writing

People interact with data and communicate with others on computers in order to carry out many of their job functions. In one
paragraph, describe three risks of developing a strategic role for
information systems and
information communication
technology. In a second paragraph, describe three rewards (or benefits) of developing a strategic role for information systems
and information communication technology, pointing out ways in which these systems can help businesses grow and be
successful.
Please help me !!!

Answers

Answer:

problems: incomplete written, can be seen by everyone and private facts

Benefits: enlist the help of the other, works can be divided among all the members, see the progress of each one

Explanation:

First paragraph on the problems.

When it is written in the computer system, the information can be incomplete written without sufficient analysis, it can also be used out of context and, most importantly, the written things can be seen by everyone and private facts of each authorized person can be found out.

Second paragraph. Benefits.

When you write in an automated system, enlist the help of the other members of the group to improve the ideas. They can place an idea without debugging and improve them together. The works can be divided among all the members and see the progress of each one and collaborate with the problems that it presents.

Third paragraph.

Well managed systems can make work progress much faster, by collaboration between all members of the group. Which improves the performance of the company and reduces the response time to problems that arise.

30 points plus brainliest for best answer no funny answers Assignment: Waves Concept Map Exploration Your concept map will compare the manner in which energy is transferred by mechanical waves and electromagnetic waves. Include the following somewhere in your concept map: • types of energy transferred • medium required (if applicable) for transfer of energy • speed of energy transfer through various mediums (solid, liquid, gas) Concept Idea Bank: mechanical waves transfer light energy can pass through matter electromagnetic waves do not require a medium transfer sound energy require a medium travel is slowed as density of travel is faster as density of matter increases matter increases 1. Think about the kind of map that would be best to use to organize and compare mechanical and electromagnetic waves. 2. Review the rubric that will be used to grade this assignment. 3. Create your concept map. 4. When you have completed the concept map, don’t forget to submit it for a grade. Describe the functional relationship between the two quantities in the graph.

Answers

Answer:

Waves: "The phenomenon in which any number of particles or the energy packets that originates from a transmitter  travels in a direction and it is somehow directed towards a receiver end is called as waves."

Electromagnetic wave: The type of waves which do not require any sort of medium for the transformation process of the energy, as it is directed towards from a transmitter towards a receiver.

For example: Radio, IR , Ultra sonic waves etc.

Mechanical waves: The type of waves which requires some medium to transfer the energy packets from one place to another, or from one point to the other using some medium. As the medium can be solids,liquids, or any gaseous forms.

For example: Sound waves, seismic waves etc.

Explanation:

The transfer of energy in Mechanical waves and Electromagnetic waves:

Both, the waves are much different due ones basic requirement of a medium while the other don't require one. As the density of any medium if increased it will increase the speed of the wave propagation. And this any medium being more denser will result in high speed form mechanical waves.

While, the electromagnetic waves can pass through matters or elements easily with out having any obstruction faced in its path because presence of medium is no requirement for the wave propagation.

I hope this helps!!

a wave is represented by the equation y=0.5 sin0.6×(x-60t) where the distance x is measured in cm and time t is seconds. what is the wave length of the wave​

Answers

Answer:

lamda=10.5m

Explanation:

using the equation of progressive wave.

y=Asin(wt-kx)

comparing the two equations together, we have

kx=0.6x , k=0.6

k=2π/λ

0.6=2*3.142/λ

cross multiply

0.6λ=6.284

divide both sides by 0.6

λ=6.284/0.6

λ=10.47m

approximate

λ=10.5m

A box has a mass of 75 g. It has a length of 2.0 cm, a width of 2.0 cm and a height of 3.0 cm. What is the density?

Answers

Answer:

6.25 g/cm³

Explanation:

2 cm * 2 cm * 3 cm = 12 cm³ (volume)

75 g / 12 cm³ = 6.25 g/cm³

a solution contains 5.6ml of alcohol mixed with 75ml of water calculate the concentration of this solution.​

Answers

Answer:

[tex]\huge \boxed{6.948 \%}}[/tex]

Explanation:

Volume of solute (Alcohol) ⇒ 5.6 ml

Volume or solvent (Water) ⇒ 75 ml

Total volume of solution ⇒ 5.6 ml + 75 ml ⇒ 80.6 ml

[tex]\displaystyle \sf Concentration \ of \ solution \ (\%)= \frac{Volume \ of \ solute}{Volume \ of \ solution} \times 100[/tex]

[tex]\displaystyle \sf Concentration \ of \ solution \ (\%)= \frac{5.6}{80.6} \times 100=\frac{5600}{806} = 6.947891[/tex]

Define ideal machine its types and example of each three?​

Answers

Explanation:

Hey, there!!

Ideal machines are defined as the machines which gives 100% (efficiency) output result without losing the input work. There is possibility have a machine with 100% efficiency but the machines like pulley and lever are somehow.

For reason for pulley is when it is rotated up to 360° it takes the the load to the desired height. so, it is considered as ideal machine.For lever it amplifies tge the input work to produce output work.

Hope it helps....

What minimum separation between two parallel plates of glass (nglass =1.5) produces constructive interference for the reflected light with a 710 nm wavelength if the gap between the plates is filled with oil with noil =1.8?

Answers

Answer:

The  value is  [tex]t = 9.861 *10^{-8} \ m[/tex]

Explanation:

From the question we are told that

   The  refractive index of glass is [tex]n_{glass} = 1.5[/tex]

     The wavelength is  [tex]\lambda = 710 nm = \frac{710}{1 * 10^9} = 710*10^{-9} \ m[/tex]

      The  refractive index of  oil is  [tex]n_{oil} = 1.8[/tex]

Generally the condition for refractive index is  mathematically represented as

     [tex]2 * t = [m + \frac{1}{2} ] \frac{\lambda}{n_{oil}}[/tex]

Where  t is the separation between two parallel plates of glass , now at minimum  m which is the  order of maxima produced is   =  0

So

     [tex]2 * t = [0 + \frac{1}{2} ] \frac{710 *10^{-9}}{1.8}[/tex]

    [tex]t = 9.861 *10^{-8} \ m[/tex]

Lanzamos desde el suelo una pelota con un ángulo de 45° y queremos colarla en una cesta que está a 7 m de distancia horizontal y a 3.5 m de altura. Calcular con qué velocidad hay que lanzarla.

Answers

Answer:

 v₀ = 11.72 m / s

Explanation:

This is a missile launch exercise. Let's write the relations for the final position

        x = v₀ₓ t

        y = [tex]v_{oy}[/tex] t - ½ g t²

Let's use trigonometry to find the initial velocities

      sin 45 = v_{oy} / v₀

      cos 45 = v₀ₓ / v₀

      v_{oy} = v₀ sin 45

     v₀ˣ = v₀ cos45

we substitute

      x = v₀ cos 45 t

      y = v₀ sin 45 t - ½ g t²

     in this equation system we have two unknowns and two equations for which it can be solved, let's substitute the values

     7 = v₀ 0.707 t

     3.5 = v₀ 0.707 t - ½ 9.8 t²

we clear the time in the first equation and substitute in the second

     3.5 = v₀ 0.707 (7 / v₀ 0.707) - 4.9 (7 / v₀ 0.707) 2

     3.5 = 7 - 480.345 / v₀²

      480.345 / v₀² = 7-3.5

      v₀² = 480.345 / 3.5

      v₀ = √ 137.24

      v₀ = 11.72 m / s

Pendulum on a Fixed Pivot

Match each point from the pendulum to the correct percentage of PE.
3 points
0% 98% 100%
Point 1
Point 3
Point 5
Point 1
Point 3
Point 5

Answers

Answer:

Point 1. most extreme point.     PE 100%

Point 3 point at mid-height        PE   50%

Point 5 lowest point                  PE     0%

Explanation:

The energy in a pendulum is conserved if we ignore the friction of the air, the total energy is

          Em = ½ k A²

at each point the energy can be written as a potential part and a kinetic part

          Em = PE + K

where Pe is the potential energy and K the kinetic energy

In the entire trajectory the energy passes from one form to the other.

In general there are some points of very high interest.

Point 1. most extreme point in this case the pendulum is stopped and the

          Em = PE  100%

Point 3. point at mid-height

           Em = PE + K

at this point the energy is 50% of each

Point 5. lowest point, at this point the body has a height of ero so its potential energy is zero

            Em = K 100%

potential energy is 0%

You and a friend each drive 50.0 km. You travel at 90.0 km/h; your friend travels at 95.0 km/h. How long will your friend have to wait for you at the end of the trip?

Answers

Answer:

1.08 hours

Explanation:

Distance = speed × time

Time = distance / speed

The time you spend driving is:

t = 50.0 km / (90.0 km/hr)

t = 0.555 hr

The time your friend spends driving is:

t = 50.0 km / (95.0 km/hr)

t = 0.526 hr

The total time is 0.555 hr + 0.526 hr = 1.08 hr.

A football is kicked from ground level with an initial velocity of 23.6 m/s at angle of 57.5° above the horizontal. How long, in seconds, is the football in the air before it hits the ground? Ignore air resistance.

Answers

Answer:

6 seconds is the best answer

It will take 6 seconds to the football in the air.

What is Initial velocity?

Velocity is the rate that the position of an item changes relative to time. When forces are applied to an item, it accelerates. This acceleration affects the velocity.

The object's initial velocity, vi, is its speed before acceleration changes it. The new velocity, which has increased for a while, is the final velocity, or vf.

Initial Velocity, denoted as u, is the velocity at time period t = 0. It is the speed at which motion first occurs. There are four equations for starting velocity: The starting velocity is expressed as u = v - at if time, acceleration, and final velocity are given.

Therefore, It will take 6 seconds to the football in the air.

To learn more about Velocity, refer to the link:

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A basketball is rolling rightward onto the court with a speed of 4.0\,\dfrac{\text m}{\text s}4.0 s m ​ 4, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction, and slows down with a constant leftward acceleration of magnitude 0.50\,\dfrac{\text m}{\text s^2}0.50 s 2 m ​ 0, point, 50, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction over 14\,\text m14m14, start text, m, end text.

Answers

Answer:

Final velocity, v = 1.41 m/s.

Explanation:

It is given that,

Initial velocity of the basketball, u = 4 m/s

Acceleration of the ball, a = -0.5 m/s² (as it slows down)

We need to find the velocity of the basketball after rolling for 14 m. It is a concept of equation of motion in kinematics. Using third equation of motion as :

[tex]v^2=u^2+2ad[/tex]

v is final velocity

[tex]v^2=(4)^2+2\times (-0.5)\times 14\\\\v=\sqrt 2\ m/s\\\\v=1.41\ m/s[/tex]

So, the final velocity of the basketball is 1.41 m/s.

Answer:

1.41

Explanation:

to make you guys feel more secure, i got it from kahn academee

Other Questions
The budgetary unit of an organization that is led by a manager who has both the authority over and responsibility for the unit's performance is known as a What military tactic did the English use to scatter the Spanish ships while at the port of Calais? What is the power in a circuit that has a current of 12 amps and a resistance of 100 ohms? a. 14,400 watts b. 8.3 watts c. 144 watts d. 1200 watts Talbot Industries is considering launching a new product. The new manufacturing equipment will cost $16 million, and production and sales will require an initial $3 million investment in net operating working capital. The company's tax rate is 30%.1. What is the initial investment outlay? Write out your answer completely. For example, 2 million should be entered as 2,000,000.$ 2. The company spent and expensed $150,000 on research related to the new product last year. Would this change your answer?A. YesB. No3. Rather than build a new manufacturing facility, the company plans to install the equipment in a building it owns but is not now using. The building could be sold for $1.5 million after taxes and real estate commissions. How would this affect your answer?The project's cost will:_________ If NL = 13, find NM. X+15 2x+34 "Which of the following statements are TRUE? I New issues of Treasury Bills are generally priced at par II New issues of Treasury Bonds are generally priced at par, or at a slight discount to par III New issues of Agency Bonds are generally priced at par, or at a slight discount to par" O comprimento de um retngulo 6x e sua largura 5y. A) Escreva uma expresso algbrica que representa o permetro desse retngulo. B) Se x = 4 cm e y = 7 cm, qual o valor numrico desse permetro. Give 5 different names for this line? Will give to the brainliest! Thank you. According to Elwell, it is possible that Hebrews was composed before the temple in Jerusalem was destroyed in AD 70 because had this event already occurred, the writer would likely have mentioned it to clinch his argument about the superiority of Christs sacrifice.A. TrueB. False Which is a malignant disorder of mature antibody-secreting B lymphocytes or plasma cells? Multiple myeloma Hairy cell leukemia Acute lymphoid leukemia (ALL) Chronic myeloid leukemia (CML) What symbol do you use to choose a feature for your notes on Notion? After a snowstorm in the town of Golden Glen, the morning temperature was 10F. But by the afternoon, the temperature had risen by 17F. What was the afternoon temperature? identify the control group Which equation has exactly one solution?A. x+7= x-2B. 2(x-6)=2x-12C. 3(x+2) = 2x-5D. 7x+13= 13+7x Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.Explain how you know that Rectangle C is not a scaled copy of Rectangle B. Imagine it is the year 1607, and you are trying to get to the US. Write a list that includes how you would do this, what you might need to get there, and what are the risks/dangers of going? (20pts) Prove that the product of any two odd numbers is always odd. Make sure to explain your proof When solid sodium hydroxide (NaOH) pellets are dissolved in water, the temperature of the water and beaker rises. The formation of an aqueous solution of sodium hydroxide is A nursing assistant is being called for assistance by a patient who speaks very little English. Because the nursingassistant has a difficult time understanding the patient, the nursing assistant ignores the patient's call, figuring thatsomeone else will tend to the patient instead. Which ethical principle is the nursing assistant neglecting?fidelitybeneficencenonmaleficenceautonomy Suppose that the function fis defined on the interval (-2,2) as follows. find f(-1) f(0.5) f(1)