7/21/22, 7:37 AMProblem Set ThreeNotes: Use 9.8 m/s 2 for the acceleration due to gravity. Formust be expressed in m/sLaw calculations, mass must be expressed in kg and velocity.A steady 45 N horizontal force is applied to a 15kg object on a table. The object slides against a friction force of 30 N. Calculate the acceleration of the object in m/s.

Answers

Answer 1

Given:

The mass of the object is

[tex]m=15\text{ kg}[/tex]

The applied force on the object is

[tex]F=45\text{ N}[/tex]

The frictional force on the object is

[tex]f=30\text{ N}[/tex]

To find:

The acceleration of the object

Explanation:

The net force on the object is

[tex]\begin{gathered} F_{net}=F-f \\ =45-30 \\ =15\text{ N} \end{gathered}[/tex]

The acceleration of the object is,

[tex]\begin{gathered} a=\frac{F_{net}}{m} \\ =\frac{15}{15} \\ =1\text{ m/s}^2 \end{gathered}[/tex]

Hence, the acceleration is

[tex]1\text{ m/s}^2[/tex]


Related Questions

Based on the periodic table why are He, Ne, Ar, Kr, and Xe the same
column/group/family?

Answers

The noble gases or inert gases helium (He), neon (Ne), argon (Ar), krypton (Kr), and radon (Rn) are found in group 8A of the periodic table. The name comes from little these elements react with other substances.

What is periodic table ?

The periodic table is a tabular arrangement of chemical elements arranged according to number of protons, starting with hydrogen and going up to the element the with highest atomic number. The quantity of protons found in the nucleus of an element's atom is referred as the element's atomic number.

Why is the periodic table important?

All known elements were grouped together in the periodic table of elements into groups with attributes. It becomes a crucial tool for chemists, nanotechnologists, and other scientists as a result. One can forecast what chemicals will react if you learn to use and understand the periodic table.

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person pulls a toboggan for a distance of 35.0 m along the snow with a rope directed 32.0o above the snow. The tension in the rope is 105.0 N. How much work is done on the toboggan by the tension force?

Answers

The amount of work done on the toboggan by the tension force of 105 N with a rope directed 32° above the snow is 3.12 KJ

W = F d cos θ

W = Work done

F = Force

d = Distance

θ = Angle between force and displacement vector

d = 35 m

F = 105 N

θ = 32°

W = 105 * 35 * cos 35°

W = 105 * 35 * 0.85

W = 3123.75 N m

W = 3.12 KJ

Work done is energy transferred to make an object move to a distance. Its unit is Joules which is denoted as J. It is the amount of work done by a force of 1 Newton to move a distance of 1 meter.

Therefore, the amount of work done on the toboggan by the tension force is 3.12 KJ

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state the dimension of energy in physics
hint: Energy = force × distance

Answers

Force = Mass * Acceleration = kg* m/s^2= MLT^-2

Distance = metres= L

Energy = MLT^-2 * L =ML^2T^-2

Can you help me match these with the correct word

Answers

When an object is thrown up into the air the time up is equal to the time down.

When an object is thrown up into the air and reacher the apex, the velocity of the object is zero.

If you throw an object straight up the air the velocity of the object is decreasing on its way up.

A 6 kg object is being pulled by a horizontal force F=120 N on a friction-less horizontal surface. It moved a distance of 18 m. If its initial kinetic energy was 100 Joules, what is the final kinetic energy in Joules?

Answers

The final kinetic energy is 120m.

What is  Work-Energy Theorem?

The Work-Energy Theorem states that the work done is equal to the change in the K.E. i.e Kinetic Energy of the object.

               W = Δ(K.E.)

In the given question we had,

Mass = 6 kg,

Force = 120 N,

Distance = 18 m,

Initial Kinetic Energy ( KE1 ) = 100 Joules  

According to Work-Energy Theorem,

            W = Δ(K.E.)

W = KE2-KE1

F x S = KE2 - 100

120 x 18  = KE2 - 100

2160 + 100 = KE2

2260J = KE2

   

So, the final kinetic energy is 2260J.

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Tritium has a half-life of 12.3 years. How many years will have elapsed when the radioactivity of a tritium sample has decreased to 10 percent of its original value?

Answers

Given

Half life of tritium is

[tex]t_{\frac{1}{2}}=12.3\text{ years}[/tex]

The sample is reduced to 10% of its original value.

To find

How many years will have elapsed when the radioactivity of a tritium sample has decreased to 10 percent of its original value?

Explanation

The activity is given by

[tex]\begin{gathered} A=A_oe^{-\lambda t} \\ \Rightarrow0.1A_o=A_oe^{-\frac{0.693}{t_{\frac{1}{2}}}t} \\ \Rightarrow ln(0.1)=-\frac{0.693}{1.23}t \\ \Rightarrow-2.302=-\frac{0.693}{1.23}t \\ \Rightarrow t=4.08 \end{gathered}[/tex]

Conclusion

The time taken is 4.08 years

Whats the percent of 10 of 20

Answers

In order to determine the associated percent of 10 related to 20, proceed as follow:

If x is the percentage, then, you can write:

[tex]\frac{x}{100}\cdot20=10[/tex]

which means that x percentage of 20 is equal to 10. By solving for x, you get:

[tex]\begin{gathered} x=\frac{10}{20}\cdot100 \\ x=50 \end{gathered}[/tex]

Hence, 10 is the 50% of 20

Answer:2

Explanation:multiply 0.20 times 10 you get it

what do fusion and fission have in common

Answers

Answer:

Explanation:

they both involve nuclear reactions that produce energy, but the application are not the same  


Imagine that you are on board a ship that was struck by a rogue wave.
Tell your story, from the calm before the wave hit to its aftermath.

Answers

The possibility of a wave toppling cruise liner is extremely low. They are made wide and have enough ballast on the lower decks to be heavy enough rogue waves. On the side, the crew's neglect also be necessary.

What are rogue waves?

A wave that is double the region's major wave height is typically considered a rogue wave. The highest one-third of waves on average over a period of time make up the noteworthy wave height. Even the biggest ships and oil rigs can be rendered useless and sunk by rogue waves.

Have rogue waves ever struck a cruise ship?

Rogue waves have occasionally hit cruise ships, although it is not frequently. Four cruise ships have collided with rogue waves since rogue wave records were first kept in 1995. All sustained damage, and some people reported injuries, but there have been no confirmed fatalities on cruise ships due to rogue waves.

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You place a box weighing 276 N on an inclined plane that makes a 44.5° angle with the horizontal.
Compute the component of the gravitational force acting down the inclined plane.
Answer in units of N.

Answers

Answer:

this is the answer

Explanation:

hope it helps

A 2.0 m long frictionless pendulum of mass 1.6 kg is released from point A at an angle & of
15 degrees. What is the speed of the pendulum at Point C.

Answers

The speed of pendulum at point C would be 0.47 m/sec when a 2 meter long frictionless pendulum of mass 1.6 kg is released from point A.

What is speed and how it is calculated out to be 0.47 meter/second?Speed is a quantity used to measure the distance travelled per unit time of the given time period.Here is given the length of rope be 2 meter and the mass of pendulum 1.6 kg released from point A.Using L cos theta = L ( 1 - cos theta) , we can write v^2/2g and putting all the numerical values we will get the speed be 0.47 m/s.Putting the angle that is theta be 15 degrees and getting the v the speed be 0.47 m/s.Hence the speed of the pendulum at point C would be 0.47 m/s.

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which are neutrally charged, are found in thenucleus of the atom.

Answers

Given:

Nucleus of the atom

Required:

Neutra

A computer connected to a motion sensor creates velocity—time graph for a ball rolling down an incline. On the graph, the velocity increases by 0.3 m/s for every tenth of a second increment on the graph. What is the acceleration of the object? A. 0.3 m/s2. B. 1 m/s2. C. 3 m/s2. D. The acceleration cannot be determined from the given information.

Answers

We are asked to determine the acceleration of an object which speed changes by 0.3 m/s every 1/10 seconds. The definition of acceleration is the following:

[tex]a=\frac{\Delta v}{\Delta t}[/tex]

Where:

[tex]\begin{gathered} \Delta v=\text{ change in velocity} \\ \Delta t=\text{ change in time} \end{gathered}[/tex]

Substituting the given values we get:

[tex]a=\frac{0.3\frac{m}{s}}{\frac{1}{10}s}[/tex]

Solving the operations we get:

[tex]a=3\frac{m}{s^2}[/tex]

Therefore, the acceleration is option C.

Moving a charge from point A, where the potential is 369.53 V, to point B, where the potential is 217.85 V, takes 0.55 milliJ of work. What is the value of the charge, in micro-Coulombs?

Answers

Given:

The potential of point A is

[tex]V_A=369.53\text{ V}[/tex]

The potential of point B is

[tex]V_B=\text{ 217.85 V}[/tex]

The work done is W = 0.55 milli Joule.

To find the value of charge in micro Coulomb.

Explanation:

The charge can be calculated as

[tex]\begin{gathered} Q=\frac{W}{V_B-V_A} \\ =\frac{0.55\times10^3\text{ J}}{217.85-369.53} \\ =-3.63\text{ C} \\ =\text{ -3.63 C}\times\frac{10^6\text{ }\mu C}{1\text{ C}} \\ =-3.63\times10^6\text{ }\mu C\text{ } \end{gathered}[/tex]

given q= 10^-6 c, v= (3i + 4j )m/(s) , b=1i tesla find magnetic force

Answers

Lorentz magnetic force is the force exerted on a charged particle 'q' which moves with a velocity 'v' through a magnetic field B. The Lorentz forces exerted by moving charges on one another are not equal and opposite.

Given:

Charge, q = [tex]10^{-6}[/tex] C

Velocity, v = (3i + 4j) m/s

Magnetic field, B = 1i T.

To find: Magnetic force, F.

From Lorentz force law, the magnetic force is given by,

F = q × (v × B)

Substituting the given values,

F =  [tex]10^{-6}[/tex] × ((3i + 4j) × 1i)

Since i×i = 0, and j×i = k,

F =  [tex]10^{-6}[/tex] × 4k

∴ F = 4 × [tex]10^{-6}[/tex] k newtons.

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What is the resistance in a circuit that has a current of 2.5A and a voltage of 40v

Answers

16 ohms

Explanation

Ohm's law relates the strength of a direct current is directly proportional to the potential difference and inversely proportional to the resistance of the circuit,it is given by the expresssion

[tex]\begin{gathered} V=IR \\ if\text{ we isolate R} \\ R=\frac{V}{I} \end{gathered}[/tex]

then

Step 1

a) Let

[tex]\begin{gathered} I=2.5\text{ A} \\ V=40\text{ V} \end{gathered}[/tex]

b)replace in the formula

[tex]\begin{gathered} R=\frac{V}{I} \\ R=\frac{40V}{2.5A} \\ R=16\text{ ohms} \end{gathered}[/tex]

therefore, the answer is 16 ohm

I hope this helps you

Consider the graph shown. Which of the motions is consistent with the graph?a) The object has a constant velocity in the negative direction.b) The object is moving in the negative direction with a changing speed.c) The object is moving in the positive direction and slowing down.

Answers

Given:

The graph of velocity vs time of an object

To find:

Which of the motions is consistent with the graph?

Explanation:

We see here that the object's initial velocity is positive, and the final velocity is zero. So, the object is slowing down. as the initial velocity is positive, the object's direction of movement is positive.

Hence, The object is moving in a positive direction and slowing down.

I need help on this science homework I forgot on what to do through number 4-7 including a,b,c,d, and e.

Answers

Answer:

[tex]\begin{gathered} (a)\Rightarrow v=2ms^{-1} \\ (b)\Rightarrow v=1ms^{-1} \\ (c)\Rightarrow v=6.67ms^{-1}_{} \\ (d)\Rightarrow v=1.2ms^{-1} \\ (e)\Rightarrow v=0ms^{-1} \end{gathered}[/tex]

Explanation: We need to calculate the speed on intervals a b c d and e, the speed can be calculated with the following formula:

[tex]v=\frac{\Delta S}{\Delta t}\Rightarrow(1)[/tex]

(a) 0-5 seconds Interval:

[tex]\begin{gathered} v=\frac{\Delta S}{\Delta t}\Rightarrow v=\frac{(10m-0m)}{(5s-0s)}=\frac{10m}{5s}=2ms^{-1} \\ v=2ms^{-1} \end{gathered}[/tex]

(b) 5-15 seconds Interval:

[tex]\begin{gathered} v=\frac{\Delta S}{\Delta t}\Rightarrow v=\frac{(20m-10m)}{(15s-5s)}=\frac{10m}{10s}=1ms^{-1} \\ v=1ms^{-1} \end{gathered}[/tex]

(c) 15-18 seconds Interval:

[tex]\begin{gathered} v=\frac{\Delta S}{\Delta t}\Rightarrow v=\frac{(40m-20m)}{(18s-15s)}=\frac{20m}{3s}=6.67ms^{-1} \\ v=6.67ms^{-1} \end{gathered}[/tex]

(d) 18-23 seconds Interval:

[tex]\begin{gathered} v=\frac{\Delta S}{\Delta t}\Rightarrow v=\frac{(46m-40m)}{(23s-18s)}=\frac{6m}{5s}=1.2ms^{-1} \\ v=1.2ms^{-1} \end{gathered}[/tex]

(e) 23-25 seconds Intervals:

[tex]\begin{gathered} v=\frac{\Delta S}{\Delta t}\Rightarrow v=\frac{(40m-40m)}{(25s-23s)}=\frac{0m}{2s}=0ms^{-1} \\ v=0ms^{-1} \end{gathered}[/tex]

On a fishing trip Justin rides in a boat 12 km south. The fish aren't biting so they go 4 km west. They then follow a school of fish 1 km north. What is his total displacement?

Answers

ANSWER:

The displacement is 11.7 km

STEP-BY-STEP EXPLANATION:

The displacement is the vector sum from the start point to the end point. Vector addition is applying the formula of the distance between two points.. We will use this formula:

[tex]d=\sqrt[]{(x_2-x^{^{}}_1)^2+(y_2-y_1)^2^{}}[/tex]

To better understand the exercise, we will draw a picture of the situation, it would look like this:

Replacing the points (-4, -11) and (0, 0)

[tex]\begin{gathered} d=\sqrt[]{(-4-0^{}^{}_{})^2+(-11_{}-0_{})^2} \\ d=\sqrt[]{16+121^{}} \\ d=\sqrt[]{137} \\ d=11.7 \end{gathered}[/tex]

A duck is paddling due East at 1.1 m/s across the river while it flows due South at 0.55 m/s What is her resultant velocity?

Answers

The diagram representing this scenario is shown below

A right angle triangle is formed. R represents the resultant velocity. To find R, we would apply the pythagorean theorem which is expressed as

hypotenuse^2 = one leg^2 + other leg^2

From the diagram,

hypotenuse = R

one leg = 1.1

other leg = 0.55

Thus,

R^2 = 1.1^2 + 0.55^2 = 1.5125

Taking square root of both sides,

R = square root of 1.5125

R = 1.23

The resultant velocity is 1.23 m/s

If the mass of the vase with flowers is 3.2 kg, what is the magnitude of the normal force?

Answers

The magnitude of normal force will be 31.36 N but in the opposite direction of the vase's weight.

We know that forces exist in pairs.

According to Newton's third law of motion,

" Every action has an equal and opposite reaction "

Also,

The second law of motion states, "The magnitude of a force is equal to the product of mass and acceleration acting upon it."

So, keeping in mind the above two laws:

The weight of the vase will be equal to:

W = mass of the vase × acceleration due to gravity

W = m × g

W = 3.2 kg × 9.8 m/s²

W = 31.36 N

So, the magnitude of normal will be the same as the Weight but the direction of Normal will be opposite to the direction of the weight.

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An object has 25 J of kinetic energy and 35 J of potential energy. What isthe total energy possessed by the object? *

Answers

The total energy possessed by the object is 60 J

Given:

The kinetic energy of the object, K=25 J

The potential energy of the object, P=35 J

To find:

The total energy possessed by the object.

Explanation:

The kinetic energy of an object is the energy possessed by it due to its motion. The kinetic energy is directly proportional to the square of the velocity of the object.

The potential energy of an object is the energy possessed by it due to its position. The gravitational potential energy of an object is directly proportioinal to the mass ofthe

A heart defibrillator passes 10.3 A through a patient's torso for 5.00 ms in an attempt to restore normal beating.(a) How much charge passed?(b) What voltage was applied if 492 J of energy was dissipated?KV(c) What was the path's resistance?ΚΩ(d) Find the temperature increase caused in the 8.00 kg of affected tissue. The specific heat of tissue is 3500 J/(kg. °C).°C

Answers

a) The formula for calculating the quantity of charge is expressed as

Q = IT

where

Q is the quantity of charge

I is the current

T is the time

From the information given,

I = 10.3

T = 5 ms = 5 x 10^-3 s

Q = 10.3 x 5 x 10^-3

Q = 51.5 x 10^- 5 C

The quantity of charge passed is 51.5 x 10^- 5 C

b) The formula for calculating the energy is expressed as

E = I^2RT

where

R is the resistance

E is the energy

From the information given,

E = 492 J

Thus,

492 = 10.3^2 x R x 5 x 10^-3

R = 492/(5 x 10^-3 x 10.3^2)

R = 927.514 ohms

Voltage, V = IR

Voltage = 10.3 x 927.514

Voltage = 9553.398 V

We would divide by 1000. It becomes

Voltage = 9.553 KV

c) From the calculations,

Resistance = 927.514 ohms

We would divide by 1000. It becomes

Resistance = 0.93 ΚΩ

d) Let the temperature increase be t

mass of tissue, m = 8 kg

Specific heat of tissue = 3500 J/(kg. °C).

°C

The formula for calculating the quantity of heat is

H = mcθ

where

H is the quantity of heat

From the informtaion given,

H = 492

θ = t

Thus,

492 = 8 x 3500 x t

t = 492/(8 x 3500)

t = 0.018

The temperature increase is 0.018 degrees


REWRITE THIS SENTENCE ON THE LINES PROVIDED.
The time it takes for the moon to rotate once on its axis is the same amount of time it takes for
the moon to revolve around the Earth once. The result is that the SAME SIDE OF THE MOON
ALWAYS FACES THE EARTH.

Answers

The amount of time it takes for the moon to complete one full rotation around the Earth is the same as its period of one full rotation on its axis. Due to this, the EARTH ALWAYS SEE THE SAME SIDE OF THE MOON.

What does the earth's rotation entail?

With an inclination of 23.45 degrees from the plane of its orbit around the sun, the Earth revolves on its axis in relation to the sun every 24.0 hours mean solar time. The differences brought on by the Earth's are averaged out to create mean solar time.

What occurs when the Earth rotates?

Rotation causes the day-night cycle, which in turn induces a cycle of temperature and humidity. As the world spins, the sea level rises and falls twice each day. The tidal range is determined by the gravitational pull of the sun and moon together

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pls brainliest

Sports biomechanics looks at athletes to better understand how the body:


A. grows.

B. creates energy.

C. moves.

D. resists disease.

Answers

Answer:

The ans is C

Explanation:

In a sporting context, biomechanics examines an athlete in relation to his or her environment and equipment. Forces acting on the body (kinetics) and movements of the body (kinematics) are analysed prior to mapping out an exercise, performance or recovery plan.

A NASA probe is moving horizontally above the surface of the moon at a constant speed to the right, as depicted in the diagram below. It releases an instrument package when it is directly above Point P. As seen from the lunar surface, which path would the package likely follow after the release and why?
B, because the gravity of the moon will pull the instrument to the ground with constant acceleration and the lack of an atmosphere allows the package to fall straight down
D, because the gravity of the moon will pull the instrument to the ground with constant acceleration so that its vertical velocity increases as it falls, while the horizontal component of the velocity remains constant
C, because the reduced gravity of the moon pulls the package down vertically at a constant speed while the package travels horizontally at a constant speed resulting in a straight-line trajectory to the lunar surface.
A, because the gravity of the moon pulls the package down with constant acceleration, while the atmosphere of the moon creates horizontal drag on the package which reduces the horizontal component of the package’s velocity causing the package to be pulled backward as it falls

Answers

As seen from the lunar surface, the path followed by the package after the release is D, because the gravity of the moon will pull the instrument to the ground with constant a, so that its vertical velocity increases.

A is incorrect because there is no wind pushing the package backwards. B is incorrect because the package has an initial velocity. C is incorrect because vertical velocity is not constant due to the presence of gravity. E and F are incorrect because gravity acts  immediately after the package is dropped.

D is correct because the horizontal component remains constant because there is no horizontal force acting on the package. This is because in outer space there is no atmosphere, so there will be no air resistance. The vertical component increases with respect to time because of constant acceleration due to gravitational pull on the package.

Therefore, as seen from the lunar surface, the path followed by the package after the release is D, because the gravity of the moon will pull the instrument to the ground with constant acceleration so that its vertical velocity increases as it falls, while the horizontal component of the velocity remains constant

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A kid is on a stationary sled, onsnowy ground with fls 0.105.It takes 71.2 N of force to setthe sled moving. How muchnormal force is acting?(Unit = N)

Answers

ANSWER

[tex]678.10N[/tex]

EXPLANATION

Parameters given:

Coefficient of static friction, μs = 0.105

Force, F = 71.2 N

The minimum force required to set the sled moving must be equal to the frictional force acting on the sled.

The frictional force is given mathematically as:

[tex]F_f=\mu_sN[/tex]

where N = normal force

Since the force required is equal to the frictional force, we have that:

[tex]F=F_f[/tex]

Therefore:

[tex]F=\mu_sN[/tex]

Solve for N:

[tex]\begin{gathered} N=\frac{F}{\mu_s} \\ N=\frac{71.2}{0.105} \\ N=678.10N \end{gathered}[/tex]

That is the normal force.

Atmospheric pressure is about 1.00 × 105 Pa on average.A. What is the downward force of the air on a desktop with surface area 2.59 m2?B. Convert the downward force of the air on a desktop with surface area 2.59 m2 to pounds to help others understand how large it is.

Answers

A)

The formula for calculating pressure is expressed as

pressure = force/area

From the information given,

pressure = 1.0 x 10^5 pa

Recall, 1 pa = 1 N/m^2

This means that

pressure = 1.0 x 10^5 N/m^2

surface area = 2.59 m^2

Force = pressure x area

Force = 1.0 x 10^5 x 2.59 = 259000 N

Recall,

B)

1 newton = 0.224808943 pounds

259000 newtons = 259000 x 0.224808943

= 58226 pounds

Ahmed wants to measure the weight of an object. What instrument should he use?

Answers

Answer:

a scale

Explanation:

you use it to weigh things

Answer:

its not a scale

Explanation:

3. An object of mass 8 kg is sliding down a friction lessinclined plane of length 11 m that makes an angleof 70 deg with the horizontal. Calculate thework done by gravitational force as the objectslides from the top of the inclined plane to theground. (1 point)A. 099.045 JB. O1135.872 JC.810.391 JD.499.917

Answers

Given

Mass of the object, m=8 kg

Length of the inclined plane, l=11 m

Angle of inclination,

[tex]\theta=70^o[/tex]

To find

Calculate the work done by gravitational force as the object slides from the top of the inclined plane to the

ground.

Explanation

The height of the ramp

[tex]h=lsin\theta=11sin70^o[/tex]

The work done by gravitational force,

[tex]\begin{gathered} W=mgh \\ \Rightarrow W=8\times9.8\times11sin70^o \\ \Rightarrow W=810.390J \end{gathered}[/tex]

Conclusion

The work done is C.810.391

Other Questions
the consumption function in the solow model assumes that society saves a: constant proportion of income. smaller proportion of income as it becomes richer. larger proportion of income as it becomes richer. larger proportion of income when the interest rate is higher. although some kinship relationships are established through biology or common descent, others are established through marriage. what do anthropologists call relationships established through marriage and/or alliance? read the sentence from paragraph 8, then read the dictionary entry. building the trail was incredibly hard work and conditions were primitive. 1: original, primary 2: self-taught, untutored 3: crude, rudimentary 4: elemental, natural which definition most clearly reflects the meaning of primitive as it is used in the passage? write an algebraic model for the statement then solve the model the sum of a number and -9 is -21 If Lanny spins the spinner below 70 times, how many times can he expect is to land on a number divisible by 3? * 6. If f(x) = x2 - 1, which of the following is equal to g(x) = f(x - 3)?A.g(x) = x/ +8 B.g(x) = x2 + 6x+8C.g(x)= x2 - 6x + 8D.g(x) = x2 + 6x- 10 Which of the following is NOT part of a cell membrane?Hydrophobic tailnitrogenhydrophilic headPhosphate Select the correct answer.Why aren't frescoes affected by moisture?A.because the paint dries with the plaster on the wall, effectively making the fresco part of the wallO B.because the mixing agent used in fresco is glue, which repels moistureC.because they are painted on wet plaster, so the paint already absorbs all the moisture it can Thats all Suppose the following bond quotes for IOU Corporation appear in the financial page of todays newspaper. Assume the bond has a face value of $2,000 and the current date is April 19, 2021.Company (Ticker) Coupon Maturity Last Price Last Yield EST volume (000s) IOU (IOU) 6.3 April 19, 2037 112.97 ?? 1,857a. What is the yield to maturity of the bond? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)b. What is the current yield? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) What is the value of 2(3x 6) 5y if x = 2 and y = 6? 6 18 54 78 Sigma notation for 22, 28, 34, 40, 46 Please help!How many solutions does the following equation have? 6 (c+4) = 6c + 30 zero solutions one solution infinitely many solutions Write the equation of a line containing (3,-7) that is parallel to the line given by the equation -4x+8y=3 for this I already did the first part and I got f(x)=2.5x+1so can you help me with the second part Which quotations from Enrique's Journey provide evidence supporting Hafiza's point that this text is a biography? Select two options. The point S is plotted on the coordinate grid below. Plot the point S', the reflectionof S over the x-axis.Click on the graph to plot a point. Click a point to delete it. 15) If x and y satisfy both 9x + 2y = 8 and 7x + 2y = 4, then y =? * Hint: Use the elimination method to solve this system of equations Can you please help me out with a question What is the area in square feet ( of the rectangle) of 4 3/4 feet and 6 4/5 feet Mrs. Doctor made a pot of hot chocolate in the teachers lounge. She wants to put 2/3 cup of hot chocolate into mugs to share with the other teachers. The pot holds 10 cups. How many mugs will Mrs. Doctor be able to fill?