Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The hydraulic cylinder BD exerts on member ABC a force P directed along line BD. The force P must have a 820-N component perpendicular to member ABC. Determine the component of P that is parallel to ABC. The component of P that is parallel to ABC is N.

Answers

Answer 1

The component of P that is parallel to ABC is 820 N.

Let F be the component of P that is parallel to ABC. Then, the component of P that is perpendicular to ABC is: $$P_{\perp} = 820\ N$$Since the force P is acting on a hydraulic cylinder BD, it can be assumed that the force P is perpendicular to BD. Also, since member ABC is a rigid body, it can be concluded that member ABC is a plane. Therefore, P must lie on a plane perpendicular to member ABC. Hence, the component of P that is perpendicular to ABC is also perpendicular to the plane of member ABC.

Since P lies on the plane perpendicular to member ABC, P can be resolved into two components, one parallel to ABC and one perpendicular to ABC. The magnitude of the component of P that is parallel to ABC is given by: $$F = P \sin{\theta}$$ where θ is the angle between P and the line of action of the force component parallel to ABC. Since the component of P that is perpendicular to ABC is perpendicular to the plane of member ABC, it follows that the component of P that is parallel to ABC lies on the plane of member ABC. Therefore, the line of action of F is parallel to ABC.

Thus, the component of P that is parallel to ABC is $$F = P \sin{\theta} = 820 \sin{90^\circ} = 820\ N$$.

Answer: The component of P that is parallel to ABC is 820 N.

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Related Questions

Someone pls help me !!!

Someone pls help me !!!

Answers

Answer:

E = h ν        energy of electromagnetic particle  

(b)   has the greater frequency

SPEED THAT
INCLUDES THE
DIRECTION is ____

Answers

Answer:

Velocity

Explanation:

Predict the directions of the longshore current and beach drift in the figure shown at right.
Longshore current to the left (blue) and beach drift to the right (red)
Longshore current to the right (red) and beach drift to the left (blue)
Both to the left (blue)
Both to the right (red)

Answers

Based on the direction of the arrow indicating the prevailing wind direction (towards the right), it is likely that the longshore current will be flowing to the left (blue) and the beach drift will be moving to the right (red).

Therefore, the correct answer is Longshore current to the left (blue) and beach drift to the right (red).
to predict the directions of the longshore current and beach drift in the figure shown, we must consider the following terms: longshore current and beach drift.

Since the figure is not provided, I can only explain the concepts and how to determine the direction for each:

1. Longshore current: It is the movement of water parallel to the shoreline, caused by the waves breaking at an angle. To determine the direction, observe which way the waves are breaking and moving along the shore.

2. Beach drift: Also known as littoral drift, it is the movement of sand and sediment along the shoreline, caused by the longshore current. To determine the direction, observe the direction of the longshore current, as the sand and sediment will follow the same path.

Once you have the figure, you can apply these concepts to predict the directions of the longshore current and beach drift.

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A person of weight 600n at the bottom of a mountain climbs to the top. the gravitational field strength changes from 10.00n/kg at the bottom to 9.97n/kg at the top.his mass is unchanged as he climbs. what are his mass and his weight at the top of the mountain

Answers

At the summit of the mountain, the mass is 60.18 kg, the weight is 600 N, and the mass is unaltered.

What is Mass?Weight is the force of gravity acting on an item, whereas mass is the amount of matter that makes up the object. Weight varies from place to place yet mass is constant everywhere you are in the cosmos. Kilograms are used to measure mass.

Let the mass on earth be m.

Given, W= 600N, g= 9.97 N/kg(top of mountain)

As we know:

The formula for Weight = mass x acceleration due to gravity at place W=m*g

Now, calculate as follows:

m = W/g= 600*9.97mass = 60.18 kgW= m*g= 60.18 * 9.97= 600NWeight = 600N

Therefore, at the summit of the mountain, the mass is 60.18 kg, the weight is 600 N, and the mass is unaltered.

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Write a set of turtle instructions to draw an AND gate.

Answers

The turtle's position and direction appropriately after each instruction to ensure accurate drawing. You can also customize the colors, sizes, and shapes to enhance the visual appearance of the AND gate.

To draw an AND gate using turtle graphics, you can use the following set of instructions:

Set up the turtle:

a. Set the turtle's initial position.

b. Set the turtle's pen color and size.

Draw the first input line:

a. Move the turtle forward to the starting point of the line.

b. Draw a straight line segment to represent the first input.

Draw the second input line:

a. Move the turtle to the starting point of the second line.

b. Draw a straight line segment to represent the second input.

Draw the output line:

a. Move the turtle to the starting point of the output line.

b. Draw a straight line segment to represent the output.

Draw the logic gate shape:

a. Move the turtle to the starting point of the gate.

b. Draw a rectangle to represent the gate.

c. Add any necessary labels or symbols to indicate it as an AND gate.

Add connections between lines and gate:

a. Move the turtle to the intersection point of the first input line and the gate.

b. Draw a small line segment to connect the input line to the gate.

c. Repeat the above step for the second input line and the gate.

d. Draw a small line segment to connect the output line to the gate.

Repeat the above steps as necessary to draw multiple AND gates or any additional components.

Remember to adjust the turtle's position and direction appropriately after each instruction to ensure accurate drawing. You can also customize the colors, sizes, and shapes to enhance the visual appearance of the AND gate.

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True or false:

1.Gravity is the weakest universal force, but it is the most effective over long distances.


True or false:

2.An artificial satellite in a low orbit will slow down and lose altitude due to the pull of Earth's gravity.

True or false:

3.Electromagnetic force is associated with charged particles.

Answers

False true true. Ébène end end e e e e

Ball A is negatively charged and ball B is electrically neutral. What happens to the charges of both balls when they come into contact with each other if:
(a) they are made of an electrical conductor
describe what will happen
(b) they are made of insulator
describe what will happen

Answers

Answer:

ans for A)

Ball A being negatively charged and Ball B being neutral

when they come into contact.... electrons from the ball A will transfer to ball B and since they are covered by an electrical conductor... their contact will form a joint pathway for electric charge to be transferred to another object.

Answer: i think A

Explanation:

What is the weight of an astronaut with a mass of 75 kg on the moon? The gravitational field strength on the moon is 1.6 Nkg-1.

Answers

Answer:

122.5

Hope it helps you actually I have same question

I have the answer but no process

A cannon ball is launched from the edge of a cliff that is 6 m above the ground. It has a
horizontal velocity of 10.2 m/s. It takes 3.7 s for the cannonball to reach the ground.
How far from the cliff does it land?
Record your answer to the nearest hundredth.

Answers

Answer:

Sh = Vh t         horizontal distance traveled

Sh = 10.2 m/s * 3.7 s = 37.74 m

when the top of the electrode leads the welding end of the electrode, and the welding arc is pointing back toward the weld bead, the travel angle is called a(n) ____ angle.

Answers

According to the information we can infer that the travel angle is called a "drag" angle.

How is it call a travel angle?

In welding terminology, the travel angle refers to the angle between the axis of the electrode and the workpiece surface. When the top of the electrode leads the welding end (meaning the electrode is inclined downward at an angle) and the welding arc is pointing back toward the weld bead, it is known as a "drag" angle.

In this configuration, the electrode is dragged along the surface of the workpiece, creating a trailing arc direction. This technique is commonly used in certain welding processes, such as shielded metal arc welding (SMAW) or stick welding, to control the heat input and the direction of the molten metal flow during the welding operation.

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A circular swimming pool has a radius of 28 ft. There is a path all the way around the pool that is 4 ft wide. A fence is going to be built around the outside edge of the pool path about how many feet of fencing are needed to go around the pool path use 3. 14 for π 28 ft 4 ft.

Answers

Answer:

201.06 feet of fencing are needed to go around the pool path use 3. 14 for π 28 ft 4 ft.

Explanation:

To calculate the total length of fencing needed to go around the pool path, we need to consider the circumference of the outer edge of the path.

The circumference of a circle can be calculated using the formula: C = 2πr, where C is the circumference, π is approximately 3.14, and r is the radius of the circle.

Given that the radius of the circular swimming pool is 28 ft, the radius of the outer edge of the path would be 28 ft + 4 ft (path width) = 32 ft.

Substituting this value into the formula, we can calculate the circumference of the outer edge of the path:

C = 2 * 3.14 * 32 ft ≈ 201.06 ft

Therefore, approximately 201.06 feet of fencing are needed to go around the pool path.

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A resistor has a resistance of 120 12. How much current is in the resistor if there is a potential difference of 12.0V across the resistor?
A. 160 A
B. 0.43 A
C. 0.10 A
D. 2.3 A

Answers

Answer:

c 0.10

Explanation:

V=IR

12.0V=I x 120.12ohms

I=0.099

I= 0.10

a motorcycle covers a distance of 8.5 km in 15 minutes. Calculate the distance covered by the motorcycle in per second​

Answers

First, convert 15 mins to seconds:

1min=60sec

15min=60•15

15min=900sec

Now, let’s create a ratio. We want to find the unit rate (most simplified rate) of distance covered by the motorcycle.

Recall that d=s•t, where d=distance, s=speed, and t=time.

So, we know the distance is d=8.5 and the time is t=900sec, but we need the speed (“s”)

8.5km=(900sec)•s

Divide both sides by 900:

8.5km/900sec=s

.009km/sec=s

So, your answer is .009km/sec

answer is .009km/sec

the impedance z of the ac circuit, is a dc analogue of what?

Answers

The impedance of an AC circuit can be thought of as the AC equivalent of resistance in a DC circuit. In a DC circuit, the resistance restricts the flow of current, whereas in an AC circuit, the impedance restricts the flow of alternating current.

Impedance is a measure of the total opposition to current flow in an AC circuit and is represented by a complex number with a real part and an imaginary part. The real part of the impedance represents the resistance in the circuit, while the imaginary part represents the reactance, which is the opposition to the change in current flow caused by inductance or capacitance.

In a DC circuit, resistance causes voltage drop and power dissipation, and in an AC circuit, impedance causes both voltage drop and phase shift between the current and voltage waveforms. Therefore, impedance is the DC analogue of resistance in an AC circuit.

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What element does the picture represent? (Use the periodic table if you need to) *
(1 Point)
nitrogen
O chlorine
O oxygen

What element does the picture represent? (Use the periodic table if you need to) *(1 Point)nitrogenO

Answers

Answer:
Oxygen
Because it has 8 protons

Light waves are electromagnetic waves that travel at 3.00 x 10^8 m/s. The eye is most sensitive to light having a wavelength of 5.50 x 10^-7 m.
a. Find the frequency of this light wave.
b. Find its period.

Answers

Answer:

a.  Frequency is 5.45 x 10^14 hz

b.   The period = 1.8 x 10^-15 sec  {or 1.8 femptoseconds]

Explanation:

The velocity of an electromagnetic wave is given by the product of the wave's frequency(f) times its wavelength(λ).  

V = λ f     where,

V is the wave speed,

f is the wave frequency,

λ is the wavelength.

To find frequency, rearrange to:

f = V/ λ

Light travels at 3.00x10^8 m/sec.

λ is 5.50 x 10^-7 m

f = (3.00x10^8 m/sec)/(5.50 x 10^-7 m)  meters cancels, secs is on the bottom]

f = (3.00/5.50)*(10^15)  [The base 10 exponent on the bottom ius subtracted from the one on top:  98-(-7)) = 15)  

f = 0.545 x 10^15 1/s or hz

f = 5.45 x 10^14 hz

b.  The period of a wave is the inverse of it's frequesncy.  It is the time it takes for 1 wave to pass.  Invert the frequency:

 Period = 1/f

  Period =  1/(0.545 x 10^15 1/s)

Period = 1.8 x 10^-15 sec  {or 1.8 femptoseconds]

Light waves are electromagnetic waves that travel at 3.00 x 10^8 m/s. The eye is most sensitive to light

is the opposition to ac current flow caused by a capacitor.

Answers

No, the opposition to AC current flow is not caused by a capacitor. Rather, it is caused by the inductance of a coil or the resistance of a resistor.

The opposition to AC current flow is called impedance. Capacitors, like resistors and inductors, contribute to the total impedance of a circuit. However, the impedance of a capacitor does not cause opposition to AC current flow, rather it acts to store and release energy in the circuit.  A capacitor opposes the flow of direct current (DC), however, when it is placed in a circuit with AC, it charges and discharges as the current alternates. This results in a phase shift between the voltage and current, causing a reactive component to the circuit impedance which is called capacitive reactance (Xc).

This is the property of the capacitor to store electrical energy in an electric field, and when the electric field is discharged, it releases that energy into the circuit. Capacitance is an important factor in many types of circuits such as filters, power supplies, and timing circuits. In conclusion, capacitors do not cause opposition to AC current flow, rather they contribute to the total impedance of a circuit and play an important role in many electrical circuits.

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Yes, the opposition to AC current flow is caused by a capacitor. It is also known as capacitance opposition or capacitive reactance. Capacitance is the ability of a capacitor to store electrical charge, and it opposes a change in voltage.

When an alternating current (AC) passes through a capacitor, the charges present on the plates will be equal and opposite in direction. This means that the capacitor will oppose any change in voltage, resulting in a phase difference between the voltage and the current. When a capacitor is connected to an AC source, the current will be initially high, and the voltage will be low because the capacitor opposes any change in voltage.

As the AC voltage reaches its peak, the current decreases to zero because the capacitor is fully charged. When the voltage starts to decrease, the capacitor discharges, and the current starts to flow in the opposite direction. The opposition of a capacitor to AC current flow is measured in units called ohms and is known as capacitive reactance.

The formula for calculating capacitive reactance is: Xc = 1/(2πfC), Where: Xc = Capacitive reactance f = Frequency of the AC source C = Capacitance of the capacitor. So, in summary, the opposition to AC current flow is caused by a capacitor because of its ability to store electrical charge. This opposition is known as capacitive reactance and is measured in ohms.

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The half life of Po-218 is three minutes. How much of a 2.0 gram sample remains after 15 minutes? Suppose you wanted to buy some of this isotope, and it required half an hour for it to reach you. How much should you order if you needed to use 0.10 gram of this material?

Answers

After 15 minutes :

M = M₀ (1/2)^(t/T)

M = 2 (1/2)^(15/3)

M = 0.0625 gr

In order to get 0.1 gr :

M = M₀ (1/2)^(t/T)

0.1 = M₀ (1/2)^(30/3)

0.1 = Mo / 1024

Mo = 102.4 gr

Distance time graphs

Answers

Answer:

A distance-time graph shows how far an object has travelled in a given time. It is a simple line graph that denotes distance versus time findings on the graph. Distance is plotted on the Y-axis. Time is plotted on the X-axis

Explanation:

Distance time graphs

an object is definitely accelerating if it ismultiple select question.changing velocity.moving in one direction.speeding up.slowing down.moving along an incline.

Answers

Moving in one direction or having a constant speed does not necessarily mean the object is accelerating.

An object is definitely accelerating if it is changing velocity, speeding up, or slowing down. Moving along an incline can also cause acceleration if there is a component of the gravitational force acting on the object in the direction of motion.

1. Changing velocity: Acceleration is the rate of change of velocity. If an object's velocity changes, either in magnitude or direction, it is accelerating.

2. Speeding up: When an object increases its speed, it experiences positive acceleration.

3. Slowing down: When an object decreases its speed, it experiences negative acceleration, also known as deceleration.
Acceleration can occur in multiple ways, and these are the key factors that indicate an object is accelerating.

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Suppose after driving for 2. 2 hours (2 hours and 12 minutes), marcos' total distance traveled was 153 miles. At what constant speed (in miles per hour) will marcos need to travel for the last 5 minutes of the trip so that he travels the 155-mile drive in 2 hours and 17 minutes?.

Answers

The marcos must travel the final 5 minutes of the 155-mile distance course at a speed of 24 miles per hour in order to finish the race in 2 hours and 17 minutes. Suppose that after 2. 2 hours of driving.

Speed is the amount of distance covered in a given amount of time. It refers to how quickly an object is moving. The magnitude of the velocity vector is a scalar variable called speed. The marcos must travel the final 5 minutes of the 155-mile course at a speed of 24 miles per hour in order to finish the race in 2 hours and 17 minutes. Suppose that after 2. 2 hours of driving. It's unclear where it's going. A higher speed denotes a more rapid pace of movement.

Speed = Distance/time

Speed = 2 miles/ 5 minutes

Speed = 2 miles/,083 hours

Speed = 24miles/hr

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Anyone please.??????​

Anyone please.??????

Answers

Answer:

468.42572 Wavelength In Metres

Explanation:

Answer:

\(\huge\boxed{\sf Wavelength= 470\ m}\)

Explanation:

Given Data:

Speed of light = c = 3 × 10⁸ m/s (Constant)

Frequency = f = 640 kHz = 6.4 × 10² × 10³ Hz = 6.4 × 10⁵ Hz

Required:

Wavelength = λ = ?

Formula:

λ = c / f

Solution:

λ = 3 × 10⁸ / 6.4 × 10⁵

λ = 0.47 × 10³

λ = 4.7 × 10² m

λ = 470 m

\(\rule[225]{225}{2}\)

Hope this helped!

~AH1807

A bird can fly 25 km/hr. How long does it take to fly 10 km?

Answers

Answer:

25 minutes

Explanation:

the figure shows a refracted light beam in linseed oil making an angle of = 17.0° with the normal line nn'. the index of refraction of linseed oil is 1.48.

Answers

When a light ray passes from one medium to another, it bends at the surface boundary of two media, this bending is known as refraction. A normal line is a perpendicular line that intersects with the interface at the point of incidence. The normal line helps in finding the angle of incidence and angle of refraction.

The figure shows a refracted light beam in linseed oil making an angle of = 17.0° with the normal line nn'. The index of refraction of linseed oil is 1.48. To find the angle of incidence, we have to use the Snell's law.n1 sinθ1 = n2 sinθ2Where, n1 = refractive index of the first mediumθ1 = angle of incidence n2 = refractive index of the second mediumθ2 = angle of refractionSubstituting the values in the formula, we get

n1 sinθ1 = n2 sinθ2

⇒ sinθ1 / sinθ2 = n2 / n1

⇒ sin i / sin r = n2 / n1

where i = angle of incidence and r = angle of refractionWhen light travels from air to linseed oil, we take n1 = 1 and

n2 = 1.48. So,

n1 sinθ1 = n2 sinθ2

⇒ sinθ1 / sinθ2 = n2 / n1

⇒ sin i / sin r = n2 / n1

So, the angle of incidence is:i

= sin−1 (sin r * n1/n2)i

= sin−1 (sin 17° * 1/1.48)i

= sin−1 (0.2905)i

= 16.8°Approximately, the angle of incidence is 16.8°.

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A wheel is rotating 720 times per minute. through how many degrees does a point on the edge of the wheel move in seconds?

Answers

To find out how many degrees a point on the edge of the wheel moves in seconds, we need to calculate the angular speed.

A wheel rotating 720 times per minute means that it completes 720 revolutions in one minute. A point on the edge of the wheel moves 4320 degrees in one second.
To do this, we can convert the 720 revolutions per minute into revolutions per second. Since there are 60 seconds in a minute, we divide 720 by 60 to get 12 revolutions per second.

Next, we need to convert the revolutions into degrees. Since there are 360 degrees in a full revolution, we multiply the number of revolutions (12) by 360 to get 4320 degrees per second.
Therefore, a point on the edge of the wheel moves 4320 degrees in one second.
In summary, a point on the edge of the wheel moves 4320 degrees in one second when the wheel is rotating 720 times per minute.

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If u have a old dogs and it starts whining and it's legs lockup ,and wont let u pick it up. What do i do Im s scared?

Answers

dont panic maybe tell an adult do some research online ? suggest maybe going to the beg to be safe

The dog MUST be SEEN by a vet.

Not on the phone, not from your description. Not a web search, and not asking for advice online.

A qualified veterinarian has to have his hands on the animal, examine the dog, and make some suggestions. It might cost some money.

There's something missing here. A qualified real vet will never just say "I don't know, good bye!".

Equipment such as chafing dishes, steam tables and heated cabinets designed to hold foods hot should at least keep food temperatures at _____ or hotter:
135°F (57°C)
140°F (60°C)
155°F (68°C)
165°F (74°C)

Answers

Equipment such as chafing dishes, steam tables and heated cabinets designed to hold foods hot should at least keep food temperatures at 140°F (60°C) or hotter. The correct answer is 140°F (60°C).

Food safety is a crucial aspect of any foodservice operation. Keeping hot correct food temperatures is essential in preventing the growth of harmful bacteria. The temperature range of 140°F (60°C) to 165°F (74°C) is considered the "danger zone" for hot foods, as this range allows bacteria to grow rapidly.

Therefore, equipment such as chafing dishes, steam tables, and heated cabinets designed to hold hot foods should maintain a minimum temperature of 140°F (60°C) or hotter.

This ensures that the food remains safe to eat and reduces the risk of foodborne illness. It is also important to check the temperature of the food regularly using a thermometer to ensure that it is being held at the correct temperature.

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1. What are the effects of weather and climate on the picture?



2. What are 3 potential solutions to the problem in the picture?



3. How could a scientist model the problem and test different solutions to find the most effective fix?

1. What are the effects of weather and climate on the picture?2. What are 3 potential solutions to the

Answers

The effect of weather and climate on the picture is erosion. The 3 potential solutions to the erosion are Planting of a cover crop, Build Terraces, and Create diversions to Help Drainage.

What is erosion?

Erosion is defined as the washing away of the topmost portion of the soil which can occur due to natural causes or through the activities of man.

The natural causes of erosion is related to changes in weather and climate through rain, rivers, floods, lakes, and the ocean.

The three potential solutions to the problem of erosion include the following:

Planting of a cover crop: This helps in the prevention of erosion because the cover crops have root systems with different depths which helps the soil to absorb more water and hold the soil surface

Building of Terraces: This helps to prevent erosion by dividing slopes so that surface runoff is intercepted and carried to a protective outlet.

Creation of diversions to help drainage.

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A physics student pulls a roped attached to an 8.0 kg box across the floor. The student pulls with a 14 N force at an angle of 44∘. If the coefficient of friction between the box and the floor is 0.042, what is the box's acceleration.

Answers

The physics student exerts a 14 N force at an angle of 44° to pull an 8.0 kg box across the floor. With a coefficient of friction of 0.042 between the box and the floor, the acceleration of the box can be determined.

To find the box's acceleration, we need to consider the forces acting on it. The applied force by the student can be resolved into its horizontal and vertical components. The vertical component does not affect the box's motion since it acts perpendicular to the floor. The horizontal component of the applied force is responsible for overcoming the frictional force.

The frictional force can be calculated using the coefficient of friction and the normal force. The normal force is equal to the weight of the box, which is given by the product of its mass and the acceleration due to gravity (9.8 m/s²).

The frictional force is determined by multiplying the coefficient of friction by the normal force. Once the frictional force is known, we can use Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. In this case, the net force is the horizontal component of the applied force minus the frictional force.

By rearranging the equation and solving for acceleration, we can determine the box's acceleration.

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Explain the operation of a simple circuit made of logic gates
and design the following combinational circuit.

Answers

Answer:

A combinational logic circuit is a circuit whose outputs only depend on the current state of its inputs. In mathematical terms, the each output is a function of the inputs. These functions can be described using logic expressions, but is most often (at least initially) using truth tables.

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Which exhibit is located at point E on thecoordinate plane? Determining the Impact of Transactions, Including Analysis of Cash Flows Vernon Company sells a wide range of goods through two retail stores operated in adjoining cities. Vernon purchases most of the goods it sells in its stores on credit, promising to pay suppliers later. Occasionally, a short-term note payable is used to obtain cash for current use. The following transactions were selected from those occurring during the fiscal year, which ends on December 31: a. Purchased merchandise on credit for $18,000 on January 10. b. Borrowed $45,000 cash on March 1 from City Bank by signing an interest-bearing note payable. The note is due at the end of six months (August 31) and has an annual interest rate of 10% payable at maturity.Required:Describe the impact of each transaction on the balance sheet equation. PLZ HELP WILL MARK BRAINLYWhat did you include in your response? Check any that apply.I wrote a complete paragraph.I included my own interpretation of a theme.I included evidence.I explained my evidenceI included transitional words and phrases. DUE IN 15 MINUTES : Which statement is true about the function f(x)= Vx?O The domain of the graph is all real numbers.O The range of the graph is all real numbers.O The domain of the graph is all real numbers less than or equal to 0.O The range of the graph is all real numbers greater than or equal to 0. Exercise 2 Correct the word in italics. If the word is correct, write C.Tanya likes to dress well when she goes on a date. please help. ill give you brainiest Travis had a great time with truck or treat this year. He counted a total of 27 milky ways, 21 packs of skittles, and 12 Kit Kats. He wants to share some of his candy with his 5 best friends. If he split all of his candy equally with his friends. How much would be given? Make-that-MoveTransformations: rotation, translation, and reflection. The apostrophe (')means PRIME. For example A' is read A prime, B' is read B prime.What transformation is 1A, 1B, 2A and 2B? You will get extra credit ifyou tell me how you moved the original figure ABC to the new image A'B'C'.I gave you an example for 1A and partly for 2A.1A. Translation - A to A': 6 units to the right, B to B': 6 units the theright, C to C': 6 units to the right)1B.2 down B to B': 7 units describe the relationship between rex and rose mary on pages 42-47 cmo logro convencer a alguien de lo que pienso? Which law states that pressure exerted by a gas is directly proportional to temperature, if the volume of the gas is held constant?Amontons' lawBoyle's lawCharles' lawThe law of gravity Kiran drove from Tortula to Cactus, a distance of 250 miles. She increased her speed by 10 mi/hr for the 360 mile trip from Cactus to Dry Junction. If the total trip took 11 hours, what was her speed from Tortula to Cactus If 4 shirts cost $84.50, 3 coats costs $213.68, and 4 pairs of slacks cost $98.99, what is the total for all the clothing? Figure ABCD has vertices A(-3, 2), B(2, 2), C(2, -4), and D(-3, -2). What is the area of FigureABCD? (1 point)O 5 square unitsO 20 square unitsO 25 square unitsO40 square units what did hans christian andersens mermaid receive along with her legs? Is this a function?? Goliath Banking Corporation (GBC) offers an "Income Investment Product" (IIP) for customers. The details for this product is as follows: Customers pay $918.29787051119 to buy an IIP. The IIP will pay out $42 at the end of each year for 9 years The IIP will pay out a further single payment of $1,000 after 9 years There are no further payments after this single payment at time 9. (a) Calculate the return GBC promised to investors that buy this product, expressed an effective annual rate. Give your answer as a percentage to 4 decimal places. (b) If instead GBC were to offer investors an effective annual return of 4.6461%, what price should they charge for this product? Give your answer in dollars, to the nearest cent. In your own words, explain what inferencing is and how to use inferencing skills in a text. BEST ANSWER I WILL MARK BRAINLIEST!!! A period of temporary economic decline during which trade and industrialactivity are reduced; generally identified by a fall in gross domesticproduct (GDP) *RecessionO Market EconomyO Bullishhurry-