what is the correct answer?

What Is The Correct Answer?

Answers

Answer 1

Answer:

The value of k is -4. Third choice

Explanation:

The Polynomial Remainder Theorem

It states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the polynomial:

[tex]p(x)= x^3+kx^2+x+6[/tex]

And we also know x+1 is a factor of p(x). If x+1 is a factor of p(x), then the remainder of the division of p(x) by x+1 is zero.

Applying the remainder theorem for a = -1:

[tex]p(-1)= (-1)^3+k(-1)^2+(-1)+6=0[/tex][tex]-1 + k - 1 + 6 = 0[/tex]

Solving for k:

[tex]k = 1 + 1 - 6[/tex]

[tex]\boxed{k = -4}[/tex]

The value of k is -4. Third choice


Related Questions

how high above the ground is a 3 kg object that has 147 J (joules) of potential energy

Answers

Answer:

4.9949

Explanation:

M = 3 kg

P.E = 147 joules

G = 9.81 ms^-2

H = ?

P.E = MGH

147 = 3 x 9.81 x H

147 = 29.43H

147/29.43 = 29.43H/29.43

4.9949 = H

:. H = 4.9949

On an air track, a 4-kg cart moving at 3 m/s collides with a 2-kg cart that is
initially at rest. If the two carts stick together, what will be their velocity
after the collision? Show all calculations, including any equation(s) used,
and include correct measurement units. *
Your answer

Answers

Answer:

v₃ = 2 [m/s]

Explanation:

To solve such problems we must use the principle of conservation of momentum. That is, the linear momentum is conserved before and after the collision.

P = m*v

where:

P = linear momentum [kg*m/s]

m = mass [kg]

v = velocity [m/s]

The momentum is conserved before and after the collision, in this way we can obtain the following equation.

[tex](m_{1}*v_{1})+(m_{2}*v_{2})=(m_{1}+m_{2})*v_{3}[/tex]

where:

m₁ = mass of the cart moving = 4 [kg]

v₁ =  velocity of the cart moving before the collision = 3 [m/s]

m₂ = mass of the cart initially at rest = 2 [kg]

v₂ = velocity of the cart at rest = 0

v₃ = velocity of the two carts combined (carts stick together) after the collision [m/s]

[tex](4*3)+(2*0)=(4+2)*v_{3}\\v_{3}=12/6\\v_{3}=2[m/s][/tex]

What is the kinetic energy of a 0.5 kg puppy that is running 1.5m/s

Answers

Answer:

0.5625 Joules

Explanation:

The equation to calculate kinetic energy is:

[tex]KE = \frac{1}{2}mv^2[/tex]

So, plug in all given info and calculate:

[tex]KE = \frac{1}{2}(0.5)(1.5)^2 = 0.5625J[/tex]

And that's your answer! :)

I really need help on this I don’t understand it

Answers

1: 15m

2: 56m/s

3: 34.5m

Sorry if these are incorrect.

HELP ASAP!! WILL TRY TO GIVE BRAINLIEST

How are ribosomes different from other complex animal cell organelles?

Answers

Explanation:

Ribosomes are not quite the same as different organelles since they have no layer around them that isolates them from different organelles, they comprise of two subunits, and when they are creating sure proteins they can become film bound to the endoplasmic reticulum, however they can likewise be free drifting while at the same time performing

A object with a mass of 1.5 kg is lifted from the ground to a height of 0.22 m what is the objects potential energy

Answers

Answer:

3.3 J

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 10 m/s²

From the question we have

PE = 1.5 × 10 × 0.22

We have the final answer as

3.3 J

Hope this helps you

A car traveling at a speed of 13 meters per second accelerates uniformly to a speed of 25 meters per second in 5.0 seconds. 11- Calculate the magnitude of the acceleration of the car during this 5.0-second time interval.

Answers

Answer:

[tex]a=2.4\ m/s^2[/tex]

Explanation:

Given that,

Initial speed of a car, u = 13 m/s

Final speed of a car, v = 25 m/s

Time, t = 5 s

We need to find the acceleration of the car during this 5.0 second time interval. Let a is the acceleration. It can be calculated as :

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{25-13}{5}\\\\=2.4\ m/s^2[/tex]

So, the acceleration of the car is [tex]2.4\ m/s^2[/tex].

How long does it take the lava bomb to reach its maximum height? Answer with three significant digits and the correct unit. A small volcano's steam pressure belches vertically upward a lava bomb from an initial height of 64.4 m and with an initial upward velocity of 31.4 m/s. Remember gravity's acceleration near earth is g = 9.8 m/s2 down.

Answers

Answer:

The time taken to reach the maximum height is 3.20 seconds

Explanation:

The given parameters are;

The initial height from which the volcano erupts the lava bomb = 64.4 m

The initial upward velocity of the lava bomb = 31.4 m/s

The acceleration due to gravity, g = 9.8 m/s²

The time it takes the lava bomb to reach its maximum height, t, is given by the following kinematic equation as follows;

v = u - g·t

Where;

v = The final velocity  = 0 m/s at maximum height

u = The initial velocity = 31.4 m/s

g = The acceleration due to gravity = 9.8 m/s²

t = The time taken to reach the maximum height

Substituting the values gives;

0 = 31.4 - 9.8 × t

∴ 31.4 = 9.8 × t

t = 31.4/9.8  ≈ 3.204

The time taken to reach the maximum height rounded to three significant figures = t ≈ 3.20 seconds

Two waves arrive at the same place at the same time exactly in step with each other. Each wave has an amplitude of 2.5 m. The resulting wave has an amplitude of

Answers

Answer:

5m

Explanation:

Whenever Two or more than two waves get to the same point/place, and they arrive at the same time, then there will be "superimposition" onto one another. Then there would be corresponding of each disturbance to a Amplitude or force, and since these disturbance maintain same line, "THEN THE RESULTING WAVE WILL BE THE ADDITION OF THE AMPLITUDE"

Superposition can be explained as the action that takes place as a result of two waves occupying same point.

To find the waves at this point, then " THE AMPLITUDE WILL BE ADDED TOGETHER"

Given:

Amplitude of first wave= 2.5m

Amplitude of second wave= 2.5m

The resulting wave will have an amplitude of(2.5m + 2.5m)=5.0m

Hence, The resulting wave has an amplitude of 5.0m

1. The lamp in your room is marked (100
W, 220 V). What do these readings mean?
Calculate, in J and in kWh, the electric ener-
gy consumed for 5 hours of lighting. Deduce
the monthly cost if the price of one kWh is
55 L.L.

Answers

Answer:

See the answers below

Explanation:

The data of 100W means power, and the other data of 220V means voltage, that is to say that bulb serves to work at a voltage of 220V100W datum means power.

J means work that is given in Joules [J], we must remember that power is defined as the relationship between work at a certain time, therefore we can determine work by means of the following expression.

[tex]P=W/t\\[/tex]

where:

P = power [Watt]

W = work [J]

t = time [s]

[tex]W=P*t\\W=100*5[hr]*[\frac{3600s}{1hr} ]\\W=1800000[J] = 1.8[MJ][/tex]

Now the electric cost.

[tex]0.1[kW]*5[hr]*55\frac{LL}{1kwhr} =27.5[LL][/tex]

If a current of 2.5 Ampere flow through a circuit in 15 minutes calculate amount of charge through a crcuit

Answers

Answer:

Q = 2250 Coulombs

Explanation:

We are given;

Current: I = 2.5 A

Time: t = 15 minutes = 15 × 60 seconds = 900 s

Now formula for the amount of charge through the circuit is given by:

Q = It

Thus;

Q = 2.5 × 900

Q = 2250 Coulombs

A sea turtle must crawl up a beach to lay eggs. Ignoring friction, what work must a 140-kg turtle do in lifting herself 2.5 m above the level of the sea?

Answers

Answer:

3500joules of work

Explanation:

Work done = Force×,distance

Given

Focrce= mass ,× acceleration = 140×10 = 1400N

Distance moved = 2.5m

Workdone = 1400×2.5

Work done = 140×25

Workdone = 3500Joules

If constants aren't given in an experiment, what can be constant in the experiment?

Answers

Answer:

Anything in an experiment that remains unchanged.

Explanation:

An example could be the temperature of the laboratory room. If there is something that has an effect on an experiment that is not variable, it is a constant. Another constant could be, say, if you were doing calculations with the same amount and kind of fluid throughout the experiment, then that fluid would also be a constant.

A 5 kg rifle fires a 15 g bullet at a muzzle velocity of 600 m/s. Find the recoil velocity of
the rifle

Answers

Answer:

v₂ = 1.8 [m/s]

Explanation:

To be able to solve this problem we must raise the principle of conservation and quantity of movement. It is going to study the momentum before and after the firing of the rifle.

P = m*v

where:

P = momentum [kg*m/s]

m = mass [kg]

v = velocity [m/s]

Now we need to analyze the moment before and after the shot.

[tex](m_{1}+m_{2})*v_{1}=-(m_{1}*v_{2})+(m_{2}*v_{3})[/tex]

where:

m₁ = mass of the rifle = 5 [kg]

v₁ = velocity of the rifle and the bullet before firing = 0 (no movement)

m₂ = mass of the bullet = 15 [g] = 0.015 [kg]

v₂ = velocity of recoil [m/s]

v₃ = velocity of the bullet after firing = 600 [m/s]

Now replacing:

[tex](5+0.015)*0 = -(5*v_{2})+(0.015*600)\\9 = (5*v_{2})\\v_{2}=1.8 [m/s][/tex]

Momentum is the product of mass and velocity. The recoil velocity of the rifle weighing 5 kg is 1.8 m/s.

What is conservation of momentum?

According to the law of conservation of momentum if two objects are in contact with each other then for that system of the two objects the momentum of the object before will be equal to the momentum of the object after the collision.

GIven to us

Mass of the rifle, M = 5 kg

Mass of the bullet, m = 15 g = 0.015 kg

Velocity of the bullet afterwards, v₂ = 600 m/s

We know that according to the law of conservation of momentum, the momentum of the bullet and riffle before shooting will be equal to the momentum of the bullet and riffle after shooting.

[tex]Mu_1 + mu_1 = Mv_1 + mv_2[/tex]

Since, before shooting the bullet was in the riffle and the velocity of both was 0,

[tex]M(0) + m(0) = Mv_1 + mv_2\\\\-Mv_1 = mv_2\\\\v_1 = -\dfrac{m \times v_2}{M}[/tex]

Substitute the values,

[tex]v_1 = -\dfrac{0.015 \times 600}{5}\\\\v_1 = -1.8\rm\ m/s[/tex]

Thus, the recoil of the rifle is -1.8 m/s, the negative sign denotes that the velocity of recoil was in opposite direction to the bullet.

Hence, the recoil velocity of the rifle weighing 5 kg is 1.8 m/s.

Learn more about Momentum:

https://brainly.com/question/4956182

what are the uses of X-rays.​

Answers

Explanation:

id : 237 514 2470

pass : frmCV5

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I am boy :)

What is a gravitational field, and how does it apply to Earth? what is its formula​. and what is an example of how you can use it?

Answers

Answer:

Explanation:

a gravitational field is the region of space surrounding a body in which another body experiences a force of gravitational attraction.

The formula is: weight/mass = gravitational field strength. On Earth the gravitational field strength is 10 N/kg.

an example of how you can use it if you need to find the gravitational force from earth.

The Kentucky Derby is one of the most exciting horse races run every year. In 1973, the horse Secretariat set a record that still stands. This 500-kg horse ran the 2000-m track in 120 s. What was Secretariat's average kinetic energy? (1 kJ = 1000 J)

Answers

Answer:

69.44kJ

Explanation:

Kinetic energy is expressed as;

KE = 1/2mv^2

m is the mass = 500kg

v is the velocity

Get the velocity;

v = displacement/time

velocity = 2000/120

velcoity = 16.7m/s

Gt the kinetic energy

KE = 1/2 * 500 * 16.7²

KE = 250*277.78

KE = 69,444.4Joules

Since 1000J = 1kJ

69,444.4Joules = 69,444.4/1000

69,444.4Joules = 69.44kJ

Hence the Secretariat's average kinetic energy is  69.44kJ

Answer:C 69.0kJ

Explanation:

A 10 Kg dog is running with a speed of 5.0 m/s what is the minimum work required to stop the dog

Answers

Answer:

25J

Explanation:

Given parameters:

Mass of the dog  = 10kg

Speed of the dog  = 5m/s

Unknown:

The minimum energy required to stop the dog  = ?

Solution:

The dog is moving with a kinetic energy and to stop the dog, an equal amount of kinetic energy generated must be applied to the dog.

 To find the kinetic energy;

        K.E  = [tex]\frac{1}{2}[/tex] m v²

m is the mass

v is the velocity

Now insert the parameters and solve;

      K.E  =  [tex]\frac{1}{2}[/tex]  x 10 x 5  = 25J

An astronaut weighs 107 Newtons when he stands on the surface of Europa on one of Jupiter's moons if europa's gravitational acceleration is 1.3 m s squared what is the astronauts Mass

Answers

Answer:

I think it would be 179kb

Which term best matches the description of an earthquake?

Where all mass movements occur

Acts as a lubricant to reduce friction between soil grains

Determines how much material is available for mass movement

Occurs when a sheet of rock moves downhill on a sliding surface

Can trigger a sudden mass movement

A force that works to pull material downslope

Answers

can tigger sudden mass movement

A child's first bicycle has 12-inch tires. These tires have a 6-inch radius. How fa r does the bicycle move forward each time the wheel makes one complete rotation? Give your answer in meters. (1 inch = 0.022 meters) b. A woman's ten-speed bicycle has 27-inch tires (13.5-inch radius). How far does this bicycle …

Answers

Answer:

a. s = 0.96 m

b. s = 2.15 m

Explanation:

a.

The relationship between the linear displacement and the angular displacement is given as follows:

[tex]s = r\theta[/tex]

where,

s = linear distance covered = ?

r = radius of wheel = (6 in)(0.0254 m/1 in) = 0.1524 m

θ = angular displacement = (1 rev)(2π rad/1 rev) = 2π rad

Therefore,

[tex]s = (0.1524\ m) 2\pi[/tex]

s = 0.96 m

b.

Assuming, we have to find linear displacement here, as well:

[tex]s = r\theta[/tex]

where,

s = linear distance covered = ?

r = radius of wheel = (13.5 in)(0.0254 m/1 in) = 0.3429 m

θ = angular displacement = (1 rev)(2π rad/1 rev) = 2π rad

Therefore,

[tex]s = (0.3429 \ m) 2\pi[/tex]

s = 2.15 m

A 1000-kg car comes to a stop without skidding. The car's brakes do 50,000 J of work to stop the car. Which of the following was the car's velocity when the brakes were initially applied?

Answers

Answer:

10m/s

Explanation:

The dead sea has a very high salt content. Explain why it is easier for a swimmer to float in the dead sea than in a swimming pool containing fresh water

Answers

Answer:

Dead sea is full of salt.

Explanation:

The water of the Dead Sea is full of salt, which makes it much denser and heavier than freshwater. If you swim in it, you float very easily.

When salt is dissolved in water, for example sea water, dissolved salt adds to the mass of the water and makes the water denser than it would be without salt. Because objects float better on a dense surface, they float better on salt water than fresh water.

what do you notice about gravity in space?

Answers

Answer:

gravity is everywhere in space and objects in space are always falling: towards the earth, towards the sun, and towards the galactic center

Explanation:

What is a joule? Pls only answer if you know the answer.

Answers

Answer:

the SI unit of work or energy, equal to the work done by a force of one newton when its point of application moves one meter in the direction of action of the force, equivalent to one 3600th of a watt-hour.

Explanation:

Joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre. Named in honour of the English physicist James Prescott Joule, it equals 107 ergs, or approximately 0.7377 foot-pounds.

Find the weight of a 4.2 kg backpack,
A) 41.16 N
B) 0.42 kg
C) 41.16 kg
D) 0.42 N

Answers

Answer:

Although the weight is given and we are asked for the weight, the odd wording of the question implies that we are being asked for the gravitational force on the backpack.

If it is gravitational force that is being requested, then the correct answer is A) 41.16 Newtons.

If it is actual weight being asked for, then none of the answers are correct, as the weight of 4.2 kg is given in the question, and does not match any of the answers.

A hunter shoots a tranquilizer dart straight at a monkey who is
hanging on a tree branch that is 1.5 meters high. The tree is 16 meters
away from the hunter. The man shot the dart at the monkey with an
initial sideways velocity of 40 m/s, and at the same time, the monkey
let go of the branch. what time will the monkey reach the same height
of the arrow?
t= _S

Answers

Answer:

The donkey might be dead

If the magnitude of a vector is√8 .If it's x-component is 2 ,then it's y- component is

Answers

Answer:

The answer is below

Explanation:

A vector quantity is a quantity that has both magnitude and direction. The magnitude of a vector is the length of that vector.

The magnitude of a vector a with a x component of x and y component of y is given by the formula:

[tex]|a|=\sqrt{x^2+y^2}[/tex]

Given that the vector has a magnitude of √8, the x component is 2 and the y component = y. Hence:

[tex]\sqrt{8}=\sqrt{2^2+y^2}\\\\squaring\ both\ sides:\\\\8=4 + y^2\\\\y^2=8-4\\\\y^2=4\\\\square\ root\ of\ both\ sides:\\\\y=\sqrt{4} \\\\y=\pm 2\\\\y=+2\ or\ y=-2[/tex]

Which of the four spheres is this pictures/scene?
A) hydrosphere
B) biosphere
C) geosphere
D) atmosphere

Answers

I believe the correct answer is atmosphere (D).

Answer:

D) atmosphere

Explanation:

but the correct answer is troposhare

A man pushes a crate along a factory floor by exerting a force of 55 N. If
the crate moves a distance of 4.0 m, how much work does the man
perform?

Answers

Answer:

it's 220 J

the second one

Other Questions
April wants to paint three walls of her bedroom. The walls are each 90 square feet. Paint is only sold in whole quarts, and each quart of paint will cover 100 square feet. How many quarts of paint must she purchase to have sufficient paint for this job? Damian has two summer jobs. He works as a tutor, which pays $12 per hours, and he works as a lifeguard, which pays $9.50 per hour. He can work no more than 20 hours a week, but he wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation, where x is the number of hours worked as a tutor, and y is the number of hours worked as a lifeguard?A.12x + 9.5y 220 AND x + y 20B.12x + 9.5y 220 AND x + y 20C.12x + 9.5y 220 AND x + y 20D.12x + 9.5y 220 AND x + y 20 help me i have a c i rlly need it lol 4 events that took place in chapter 5 of the outsiders Which type of respiration is the most efficient in producing ATP?*O aerobicO anaerobicO fermentationglycolysis i do brainliestThe governments of the United States and Florida are similar because they both control elections held by and for the local governments contain three separate branches of government help maintain law and order outside the boundaries of the country have constitutions organized with the same number of sections Carla packed this box with 1-centimeter cubes. What is the volume of the box? Explain the political, social, and economic impact of Islam on Europe, Asia and Africa En una tienda venden pepitas de chocolate y nueces. 2 libras de pepitas de chocolate y libras de nueces cuestan $20 en total. 8 libras de pepitas de chocolate y 3 libras de nueces cuestan $29 en total. Hallar cunto cuesta cada libra de pepitas de chocolate y cada libra de nueces. At the school cafeteria the ratio of pints of chocolate milk to pints of milk sold is 4:7. At this rate how mnay pints of milk wil be sold if 100 pints of chocolate milk is sold? Burkhardt Corp. pays a constant $13.30 dividend on its stock. The company will maintain this dividend for the next 7 years and will then cease paying dividends forever. If the required return on this stock is 10 percent, what is the current share price? How did Hypatia contribute to the study of philosophy? She became a teacher at Alexandria. She improved upon the works of Plato. She was educated in both science and mathematics. She studied Euclids theories and proved them incorrect. Chris spending some of his birthday money on art supplies. He spends 1/6 of his money on paint and 2/3 of his money on markers. What fraction of his birthday money does he have left? (multi-step problem -must dd and subtract)A. 5/6B. 3/6C. 1/2 (wrong)D. 1/6 Write the equation of a parabola containing the point 6,3 with vertex at 5,-3 you see classified advertisement in the newspaper invitations applications for the post of a sales executive in a reputed bank write a bio data in about 120-150 words to the HR manager HABS bank Lajpat Nagar new applying for the post advertised you avani/aviral of 120 Kirti Nagar Delhi Which groups of people invaded Europe between 800-1000? Which sentence best describes the irony in the passage?It is ironic that Jim and Della will not be able to use their presents until the future.It is ironic that Jim cannot use Dellas present because he sold his watch to get her present.It is ironic that Jim wanted his present so badly but no longer wants it. Who benefited most from mercantilism and the Encomienda system in the Latin American Colonies?Answer options in the photo Find the ratio :1/2 hour to 45 minutes If someone earring a diabetes madeical ID is having a diabetic emergency but it is unclear whether the persons problem is high or low blood sugar, you should-A: give the victim nothing to eat or drinkB: give the victim glucose tables or sugar C: give the victim something sour to counteract the sugar D: wait 15 min and see if the victim feels better