The sum arithmetic sequence is 18,335 of a partial sum of an arithmetic sequence is given 5 9 13 . . . 381
Calculation
d = 9-5 = 4
a = 5
[tex]a_n[/tex] = 5 + 4(n -1) = 381
= 5 + 4n -4 = 381
= 4n +1 = 381
= 4n = 380
= n = 380/4
= 95
Now,
[tex]S_{95}[/tex] = [tex]95(\frac{5 + 381}{2} )[/tex]
= 95 × 193
= 18,335
What is arithmetic sequence?The series where the common difference between any two next words stays constant is known as an arithmetic sequence. Let's review what a sequence is. A collection of numbers that follow a pattern is called a sequence. As an illustration, the numbers 1, 6, 11, 16,... are an arithmetic sequence because they follow a pattern in which the preceding term is multiplied by 5 to produce each subsequent number. There are two formulas for arithmetic sequences.
The equation to determine the nth term in an arithmetic sequenceThe equation for calculating the sum of an arithmetic sequence's first n termsLearn more about arithmetic sequence
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How is earth outer layer different from a cracked hard-boiled egg?
Answer: The crust of the earth is broken into pieces, like the cracked shell of a hardboiled egg. The mantle of the earth is like the egg white, and the core of the earth lies in the center, like the egg yolk. The earth's brittle crust is broken into pieces that geologists call plates.
In complete sentences please
Answer:
The topic of the graph is the age of people getting married. The x-axis shows the year and the y-axis shows the age of those getting married. The graph shows that as time has gone on, people have waited longer to marry. This is likely because they want to wait to find their true love before settling down, and there is a lot less pressure on people to get married now. Based on the statistics shown in the graph, I believe that in 10 years the average age of marriage will be between the age of 30 and 35.
the weight of an astronaut plus his space suit on the moon is only 271 n. how much do they weigh on earth?
The astronaut's weight plus his space suit on Earth is 1,639.34 N
To solve this exercise, the weight formula and procedure to be applied is:
W = m * g
Where:
W = weightm = massg = gravityInformation about the problem:
g(earth) = 9.8 m/s2 g(moon) = 1.62 m/s²W(moon) = 271 NW(earth) =?1 N = kg * m/s²Applying the weight formula, we isolate the mass to get the mass of the astronaut plus his space suit on the moon:
W = m * g
m = W(moon)/g(moon)
m = 271 kg * m/s² / 1.62 m/s²
m = 167.28 kg
With the mass, we calculate the weight on the earth:
W(earth) = m * g(earth)
W(earth) = 167.28 kg * 9.8 m/s2
W(earth) = 1,639.34 N
What is gravity?In physics, gravity is the force of attraction that the earth exerts on all bodies possessing mass by pulling them toward its center.
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Through what total distance (in m) has the object moved between t = 0 and t = 18 s?
Distance covered by the box is 135m.
What are equation of motion?Equations of motion in physics are equations that explain how a physical system behaves in terms of how its motion changes over time. The behaviour of a physical system is described in further detail by the equations of motion as a collection of mathematical functions expressed in terms of dynamic variables.
The following are the three equations of motion:
First Equation of Motion : v = u + a t.Second Equation of Motion : s = u t + 1 2 a t 2.Third Equation of Motion : v 2 = u 2 + 2 a s.the theoretical question is complete but the diagram is missing, its added in the attachment.
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An electric motor delivers a shaft torque of 15 lb. ft at 1800 rpm. what is the motor power?
The power of the motor is 3.82 kilowatt.
Shaft torque of the electric motor = 15 lb-ft = 20.3 Nm
Revolution per minute made by the electric motor = 1800 revolutions per minutes
The angular velocity of the electric motor is,
[tex]Angular \: velocity = \frac{ 2 \times π \times revolutions}{60} [/tex]
[tex]w = \frac{2 \times \pi \times r}{60}[/tex]
[tex]w = \frac{2 \times 22 \times 1800}{ 7 \times 60}[/tex]
[tex]w = 188.5 \: rad/s[/tex]
The angular velocity of the electric motor is 188.5 rad/s.
The power of the motor is,
[tex]Power = torque \times angular \: velocity[/tex]
[tex]P = τ \times w[/tex]
[tex]P = 20.3 \times 188.5[/tex]
[tex]P = 3826.5 \: watt[/tex]
[tex]P = 3.82 \: kilowatt[/tex]
Therefore, the power of the motor is 3.82 kilowatt.
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stars in a constellation are group of answer choices in the same part/region of the sky. physically close to each othe
A constellation can be said as a collection of stars that resembles any kind of pattern or image, such as Leo the Lion, Taurus the Bull, or Orion the Great Hunter.
What is a constellation?A constellation can be specified as a collection of stars that resembles a pattern or image. People can use these constellations to help them find their way around by looking up at the night sky. There are in total about 88 constellations that are “official.”
How do constellations get their names?Most of the constellation names we are familiar with derive from ancient Greek, Roman, and Middle Eastern cultures. The gods, goddesses, monsters, and locales from their mythology were recognized in star groupings.
It’s crucial to realize that these weren’t the only nations who populated the night sky with figures significant to their way of life.
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11 A feather of mass 10 g falls from rest from a height of 3 m and takes 2s to hit the ground. Find the air
resistance on the feather.
The air resistance on the feather is 20.2275 x [tex]10^9[/tex]N.
Air resistance is the force the air applies to objects moving through it. Scientists frequently refer to this force as drag or drag force. Usually, this force is utilized to slow down the object's speed by acting in the opposite direction.
The moving body is subject to the frictional force of air resistance. Air resistance slows a moving body down. The body experiences higher air resistance the more it moves.
Given:
Mass, m = 10g
Height, h = 3m
Time, t = 2s
Force constant, k = 8.99 x [tex]10^9 Nm^2[/tex]
To find:
Air resistance, Fa = ?
Formula:
[tex]Fa = kv^2[/tex]
Calculations:
Speed, v = h/t
v = 3/2
v = 1.5m/s
Fa = 8.99 x [tex]10^9[/tex] x 1.52
Fa = 20.2275 x [tex]10^9[/tex]N
Result:
The air resistance on the feather is found to be 20.2275 x [tex]10^9[/tex]N.
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if an arrow is shot upward on mars with a speed of 66 m/s, its height in meters t seconds later is given by y
By using uniform motion, the maximum height of arrow is 585.326 meters.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vo = 66 m/s
vt = 0 m/s
gmars = 3.721 m/s²
By using the second equation, we can calculate the maximum height
vt² = vo² + 2a . s
0² = 66² - 2g . y
2 . 3.721 y = 4356
y = 585.326 meters
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Ki is making lemonade using a lemonade powder mix. Which scientific property of water is demonstrated by the lemonade powder dissolving into water, making lemonade?
A. Solubility
B. Cohesion
C.Adhesion
D. Capillary Action
Answer:
Solubility
Explanation:
Solubility involves dissolving a substance
which conversion factors can be used to multiply to 4 km/min to get meters per hour?select each correct answer. 1 km1000 m1 km over 1000 m1 h60min1 h over 60 min1000 m1 km1000 m over 1 km60min1 h
Conversion should be done as follows:
4 km/min → m/hr
⇒ 4 km/min = (4x1000)/ (1/60) = 240000 m/hr
How are kilometers per minute calculated?
You can measure your current speed in mph or kph. To convert it to kilometers per minute or miles per minute, divide it by 60.
To get miles per second or kilometers per second, divide by 60 once more.
Alternative: To convert it directly, divide it by 3600.
How are kilometers and miles per hour converted?Divide the number of kilometers per hour (kmph) by 1.609344 to get the equivalent number of miles per hour (mph).
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it is known that the electric force of repulsion between two electrons is much stronger than the gravitational attraction. for two electrons at a distance d apart, calculate the ratio of the size of the electrostatic repulsion to that of the gravitational attraction.
The ratio of the size of the electrostatic repulsion to that of the gravitational attraction is 4.17×[tex]10^{42}[/tex]
The solubility of co2 in soda when the soda is canned under a pressure of 4.5 atm will:_________
The solubility of CO₂ in soda when the soda is canned under a pressure of 4.5 atm will 129.03 moles L⁻¹
According to Henry's law, the amount of a specific gas that dissolves in a liquid is directly proportional to the partial pressure of that gas in equilibrium with that liquid at a particular temperature.
Only at moderate pressure and temperature does Henry's law apply. iii. Henry's law is not followed by the gases reacting with the solvent. Ammonia or HCl, for instance, react with water and do not follow this rule.
Henry's law states that P=Ks S is the solubility in moles. Henry's law is L1 K. P stands for continuous pressure in atm.
Change the values in the preceding equation to:
S = Kp = 4 / 3.1*10²
= 129.03 moles L⁻¹
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The police come to your house and demand to search it. You respond that they should leave and not come back without a warrant signed by a court that shows they have a good reason to search your home. You are exercising your rights as guaranteed under which Amendment?
Group of answer choices
The Second Amendment
The Fourth Amendment
The Eighth Amendment
The Fourteenth Amendment
As an airplane accelerates in level flight, what parameter must the pilot adjust to keep level and balance (lift = weight)?
As an airplane accelerates in level flight, pilot must adjust to keep level and balance at the angle of attack.
What is the type of lift in reference to airplane?When the air flows through the wingspan of an airplane, it generates a pressure difference between the upper and lower portions of wings. Due to this pressure difference, an upward force is generated that acts in upwards direction known as the aerodynamics lift.
In this case:
At the equilibrium condition, the upward lift generated by the airplane is equal to the weight of airplane. The lift generated depends upon area of the wind span, density, and velocity of the air; these values can not be changed by the pilot. But by changing the angle of attack parameter, the desired lift can be produced, and angle of attack can be changed easily by the pilot.
Therefore as an airplane accelerates in level flight, the parameter the pilot must adjust to keep it level and balance the lift to the weight is angle of attack.
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The ________ explains the formation of the solar system by describing how the sun and planets formed from a rotating cloud of interstellar gases.
The solar system and planets were created from a revolving cloud of interstellar gas, according to the nebular theory, which also explains how the sun came into being.
The nebular speculation is the maximum extensively commonplace version within side the subject of cosmogony to provide an explanation for the formation and evolution of the Solar System (in addition to different planetary systems). It shows the Solar System is fashioned from fueloline and dirt orbiting the Sun.
How does the nebular theory shape the sun gadget?
Approximately 4.6 billion years ago, the sun gadget became a cloud of dirt and fueloline called a sun nebula. Gravity collapsed the cloth in on itself because it commenced to spin, forming the solar within side the middle of the nebula.With the upward push of the solar, the final cloth commenced to clump together.To learn more about Nebular theory, visit:
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a bicycle pedal is pushed straight downwards by a foot with a 37 newton force. the shaft of the pedal is 20 cm long. if the shaft is radians past horizontal, what is the magnitude of the torque about the point where the shaft is attached to the bicycle?
The magnitude of the torque about the point where the shaft is attached to the bicycle will be 740 N-m.
What is torque?The torque is the cross product of the perpendicular distance and force. The torque is the vector quantity and its SI unit is N-m. The torque is given as,
T = r x F
T = r · F · sin θ
A bicycle pedal is pushed straight downwards by a foot with 37 Newtons of force. The shaft of the pedal is 20 cm long. If the shaft is radians past horizontal. Then the angle will become the right angle.
Then the magnitude of the torque about the point where the shaft is attached to the bicycle will be given as,
T = r · F · sin θ
T = 20 · 37 · sin 90°
T = 740 N-m
Then the magnitude of the torque about the point where the shaft is attached to the bicycle will be 740 N-m.
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a 26.9-g mass is suspended 1.79 cm above a nonconducting flat plate, directly above an embedded charge of q. a) if the mass has the same charge, q, how much must q be so that the mass levitates (just floats, neither rising nor falling)?
For mass to levitate charge must be 9.692×10⁻⁸ C.
For mass to levitate,
mg=Fe ( Fe here refers to electrostatic force)
mg=(kq₁q₂/r²)
here q₁=q₂,
q²=(mgr²/k)
q²=( 26.9×10⁻³×9.81×(1.79×10⁻²)²)/9×10⁹
q²=93.947×10⁻¹⁶
q = 9.692×10⁻⁸ C
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this problem checks your understanding of the term in the equation for the electric field due to a point charge, . consider a charged particle at a point s whose coordinates are (10 m, 10 m, 7 m). we would like to find the electric field vector at a point p whose coordinates are (4 m, 5 m, 5 m). the term is the distance between point s and point p. what is its value, in meters?
The distance from point s to point p is 0.8 meters by the vector coordinates s and p.
What precisely do vectors consist of?A vector is an entity that has both dimension and direction. A directed boundary can be used to represent a vector graphically, with the length of the segment corresponding to the vector's magnitude and the direction being indicated by an arrow. From its tail to its head, the vector points in a direction. The mathematical or geometrical representation of a quantity is another use of the term. Vectors can be found in nature as force, momentum, electromagnetic fields, weight, and velocity.
We are given the point s is (10 m, 10 m, 7 m) and the point p is (4 m, 5 m, 5 m).
Now the vector coordinates are: (10-4)i+(10-5)j+(7-5)k=6i+5j+2k.
The distance in the vector form is: 5/(6²+5²+2²)=5/65=0.8
So the distance is 0.8 m.
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if a sounds power level increases from 20 decibels to 50 decibels, by what factor does the power increase?
Answer:
the answer is source of sound
The power increases by a factor of [tex]10^3,[/tex]or 1000. In other words, the final power level is 1000 times greater than the initial power level.
What is a decibel scale?The decibel (dB) scale is a logarithmic scale used to express the ratio of two power levels. The formula to calculate the ratio of two power levels in decibels is:
Ratio in dB = [tex]10 * log10 (P2/P1)[/tex]
where P1 and P2 are the two power levels being compared.
To find the factor by which the power increases, we can rearrange this formula to solve for the ratio of the two power levels:
P2/P1 = 10^(dB/10)
In this case, the power level increases from 20 dB to 50 dB, so the ratio in dB is:
Ratio in dB = 50 dB - 20 dB = 30 dB
Substituting this value into the formula, we get:
[tex]P2/P1 = 10^(30/10) = 10^3[/tex]
Therefore, the power increases by a factor of [tex]10^3,[/tex] or 1000. In other words, the final power level is 1000 times greater than the initial power level.
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what is the definition of density? the measure of mass of a material within a given space. the measure of mass of a material within a given space., defragment, the volume of an object. the volume of an object., defragment, the weight of an object the weight of an object, defragment, the mass of an object.
the definition of density is: the measure of mass of a material within a given space
The density of an object is the relation that exist between the mass and the space that the object occupies. The general formula of the density is:
ρ = m/v
Where:
v= volumeρ= densitym= massFor example if we want to know which is the density of a body that has a mass of 100g and a volume of 150 cm³, applying the density formula we get:
ρ = 100 g/150 cm³
ρ = 0.666 g/cm³
What is density?It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.
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hayashi 2004 ), temperature-electrical conductivity relation of water for environmental monitoring and geophysical data inversion,
hayashi 2004 ), temperature-electrical conductivity relation of water for environmental monitoring and geophysical data inversion,
electric conductivity (EC) is often used to map infected groundwater, separate movement hydrographs, and screen the mixing of sparkling and salt water. considering EC is temperature-structured, it's far essential to file the recorded EC values at various temperatures as matching to a widespread temperature. typically, a random consistent is hired for temperature repayment under the belief that the EC-temperature courting is linear (as an instance, a upward thrust of two% in EC each 1 °C). The EC-temperature relationship of natural waters with wildly dissimilar compositions and salinities is tested on this research. The EC-temperature dating changed into slightly nonlinear within the 0–30 °C temperature variety, however the linear equation got here as a substitute near describing it.The temperature correction issue for 25 °C ranged from 0.0175 to zero.0198, with an average price of 0.0187.
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a person jogs eight complete laps around a 400-m track in a total time of 15.1 min .calculate the average speed, in m/s .
The average speed in m/s of a person that jogs eight complete laps around a 400m track in a total time of 15.1 min is 0.44m/s.
How to calculate average speed?Average speed of a moving body can be calculated by dividing the distance moved by the time taken.
Average speed = Distance ÷ time
According to this question, a person jogs eight complete laps around a 400m track in a total time of 15.1 min. The average speed is calculated as follows:
15.1 minutes in seconds is as follows = 906 seconds
Average speed = 400m ÷ 906s
Average speed = 0.44m/s
Therefore, the average speed in m/s of a person that jogs eight complete laps around a 400m track in a total time of 15.1 min is 0.44m/s.
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A cold drink initially at 39 f warms up to 42 f in 4 min while sitting in a room of temperature 72 f. how warm will the drink be if left out for 15 min?
If the cold drink will be left out for 15 minutes its temperature would be 72 F.
The formula for Newton’s Law of Cooling is given in the adjoining image.
Applying the given values in the above equation,
T- T1 = (TS - T1) e^-kt
42 -72 = (39-72) e^-2k
- 30/ -33 = e^-2k
K = 0.045
Putting k = 0.045 and t = 15 minutes
T comes out to be 72 F.
Hence, if the cold drink will be left out for 15 minutes its temperature would be 72 F.
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the brakes on ned’s overland truck malfunction, but he continues to drive it. unable to slow down, he crashes through a guardrail and careens off the road. in ned’s suit against overland, the truck maker can raise the defense of
The brakes on Ned's overland truck are broken, but he continues to drive them. unable to slow down, he crashes into a guardrail and pulls off the road. in the case of ned versus overland, the truck manufacturer can raise the defense of assumption of risk
Define assumption of risk?In situations when the plaintiff has voluntarily assumed the risk of such acts, the common law doctrine known as "assumption of risk" states that the plaintiff is ineligible to claim damages from a negligent party. Sometimes, prospective plaintiffs assume the risk of harm and absolve prospective defendants of all responsibility. This was once an affirmative defense open to defendants, but in most countries, it has since been supplanted by complicity and comparative negligence.
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A certain european automobile has a gas mileage of 19 km/l. part a what is the gas mileage in miles per gallon?
The correct answer is 44.6 miles/gallon.
Finding the complete mileage and fuel consumption of a car over the course of the entire journey is necessary to answer this type of query. We must thus calculate the value for each mile separately using the provided data in order to avoid getting the incorrect answer by just adding the value of the gallons.
The number of miles an automobile can go on one gallon of fuel is known as MPG, or miles per gallon. A car's fuel efficiency is mostly measured by its MPG; the greater the MPG, the more efficient the vehicle is.
Speed of the automobile = 19 km/L
Use the following conversion factor to convert km/l into miles/gallon
19(km×0.621miles/km)/(l×0.264gallon/L)
=44.6 miles/gallon
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The distance between one positive peak and the next positive peak of a wave is called?
The distance between one positive peak and the next positive peak of a wave is called wavelength.
What is wavelength?In physics, the wavelength is the length over which a periodic wave repeats, or its spatial period. It is the separation between neighboring wave points that correspond to the same phase, such as two adjacent crests, troughs, or zero crossings. It is a property of both traveling waves and standing waves as well as other spatial wave patterns. The spatial frequency is the wavelength's reciprocal. The Greek letter lambda , which represents wavelength, is frequently used. When describing modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids, the term wavelength is also occasionally used. Wavelength is inversely related to frequency for a sinusoidal wave flowing at a constant speed.
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A glass rod that has been charged to 14.0 nc touches a metal sphere. afterward, the rod's charge is 7.0 nc . what kind of charged particle was transferred between the rod and the sphere?
The charged particles that transferred between the glass rod and the metal sphere were electrons.
The rod has lost some of the charges it had earlier as the remaining count of charges is less than the previous one.Before analysing the type of the charge it is worthy to know about the conductive properties of both the materials.Glass is insulative while metal is conductive. Conductive materials in the sense have free electrons in abundance compared to insulative materials that conduct electricity within them. Glass, in comparison, does not conduct charges dynamically but rather keeps them stationary where those were originated. Electrons are more dynamic than protons.In this case, the metal sphere is neutral at the beginning that contained equal amounts of negative(electrons) and positive(protons) within it. Once the rod is taken close and eventually touched the sphere the more dynamic electrons flow into the rod nullifying the charges the rod had earlier.Therefore, it can be concluded that the type of charges the rod had were positive ones(protons) and the charges moved between them were electrons from the sphere to the rod.Otherway around is impossible.Finally, the sphere contains an amount of positive 7.0 nC charge while the rod contains the remainder of 7.0 nC on the parts which did not touch the sphere.
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the electric field midway between two equal but opposite point charges is 573 n/c , and the distance between the charges is 16.0 cm
The electric potential between the two charges is 91.68 V.
Electric potential between the two chargesThe electric potential between the two charges is calculated as follows;
V = Ed
where;
V is electric potentialE is electric fieldd is the distance of the chargeSubstitute the given parameters and solve for electric potential,
V = 573 N/c x 0.16 m
V = 91.68 V
Thus, the electric potential between the two charges is 91.68 V.
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bees often work together for the greater good of the hive. sometimes they can get excess charge on them. four pairs of bees, which can be represented as identical, conducting spheres, bump into each other in the hive. rank the bees in the order of the size of the magnitude of charge transfer. assume that since the bees are identical, they will have the same amount of charge after making contact. (enter your answer in decreasing order of the size of the magnitude of charge transfer. use only ">" or "=" symbols. do not include any parentheses around the letters or symbols.)
it goes as follows- B> C> A> D
Bees frequently cooperate for the benefit of the colony. They occasionally may have an excessive charge on them. In the hive, four pairs of bees collide with one another. These bees can be visualized as identical conducting spheres. Sort the bees according to the size of the charge transfer's magnitude. Bees live in hives with a distinct social structure. Three varieties of bees, each with a specific job, are present in each hive. The female workers gather food and take care of the hive, while the male drones fertilize the eggs laid by the queen. Every type of bee is modified for its specific job. As they get older, the workers' tasks change.
As we can see, there are four pairs of bees, conducting spheres, and it appears that B is higher than C, which is higher than A, which is lower than D.
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If the particles formed through fission have less mass than the starting material, has the law of conservation of energy been broken?
Answer:
No
Explanation:
Some of the mass has been transformed into energy.
Hope this helps!