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## There are 150 marigold plants in a back yard. Each month, the number of marigold plants decreases by 15%. There are 125 sunflower plants in the back yard. Each month, 8 sunflower plants are removed. Part A: Write functions to represent the number of marigold plants and the number of sunflower plants in the back yard throughout the months. (4 points) Part B: How many marigold plants are in the back yard after 3 months? How many sunflower plants are in the back yard after the same number of months? (2 points) Part C: After approximately how many months is the number of marigold plants and the number of sunflower plants the same? Justify your answer mathematically. (4 points)

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If a quantity A is decreased by 15%, it means that what is left is 85% of it.

85%A=

Part A.

Consider the 150 marigolds.

After the first month, 0.85*150 are left
After the second month, 0.85*0.85*150=
After the third month, 0.85*0.85*0.85*150 =
.
.
so After n months,  marigolds are left.

in functional notation:  is the function which gives the number of marigolds after n months

consider the 125 sunflowers.

After 1 month, 125-8 are left
After 2 months, 125-8*2 are left
After 3 months, 125-8*3 are left
.
.
After n months, 125-8*n sunflowers are left.

In functional notation: S(n)=125-8*n is the function which gives the number of sunflowers left after n months

Part B.

marigolds are left after 3 months.

S(3)=125-8*3=125-24=121 sunflowers are left after 3 months.

Part C.

Answer : equalizing M(n) to S(n) produces an equation which is very complicated to solve algebraically.

A much better approach is to graph both functions and see where they intersect.

Another approach is by trial, which gives 14 months

which are close numbers to each other.

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## As the distance between two objects decreases, what happens to the force of gravity between the two objects It remains the same It increases It decreases Itincreases or decreases, depending on the object

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As the distance between two objects decreases, what happens to the force of gravity between the two objects It remains the same It increases It decreases Itincreases or decreases, depending on the object

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## In the table, x represents minutes, and y represents the altitude of an airplane. Table x y 15 22,500 20 20,000 25 17,500 30 15,000 Which statement is correct about the slope of the linear function that the table represents? a.The slope is positive because as the minutes decrease, the altitude increases. b.The slope is positive because as the minutes increase, the altitude increases. c.The slope is negative because as the minutes decrease, the altitude decreases. d.The slope is negative because as the minutes increase, the altitude decreases.

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In the table, x represents minutes, and y represents the altitude of an airplane. Table x y 15 22,500 20 20,000 25 17,500 30 15,000 Which statement is correct about the slope of the linear function that the table represents? a.The slope is positive because as the minutes decrease, the altitude increases. b.The slope is positive because as the minutes increase, the altitude increases. c.The slope is negative because as the minutes decrease, the altitude decreases. d.The slope is negative because as the minutes increase, the altitude decreases.

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## SPENT 50 POINTS ON THIS QUESTION PLEASE HELP In the table, x represents minutes, and y represents the altitude of an airplane. Table x y 15 22,500 20 20,000 25 17,500 30 15,000 Which statement is correct about the slope of the linear function that the table represents? a.The slope is positive because as the minutes decrease, the altitude increases. b.The slope is positive because as the minutes increase, the altitude increases. c.The slope is negative because as the minutes decrease, the altitude decreases. d.The slope is negative because as the minutes increase, the altitude decreases.

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Slope=changey/changex
well, the slope will be positive when the minutes (x) are increasing and the altitude (y) is also increasing
the slope will be negative when the minutes (x) are increasing and the altitude (y) is decreasing

we see that x increase
and y decreases
so the slope is negative because as minutes incrases, altitude decreases

D is answer

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## Which energy changes are associated with a liquid freezing? Energy is released as potential energy increases. Energy is absorbed as potential energy increases. Energy is released as potential energy decreases. Energy is absorbed as potential energy decreases.

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Which energy changes are associated with a liquid freezing? Energy is released as potential energy increases. Energy is absorbed as potential energy increases. Energy is released as potential energy decreases. Energy is absorbed as potential energy decreases.

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## WILL GIVE BRAINLEST!!! Since (equation below), what happens to F as d gets larger?F increasesF decreases rapidlyF stays the sameF is not related to d

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Answer:

1) Water has very high specific heat.

2) It expands when it freezes

3) ability to dissolve in ionic substances

4) Water molecules at the surface experience fewer hydrogen bonds than water molecules within the liquid.

Explanation:

1) Water molecules due to their high specific heat , undergo relatively less increase in temperature after absorbing heat. So they prevent their adjoining area to experience sharp increase in temperature.

2) Water is an example which expands on freezing. In it , large spaces are left between molecules when it cools. It happens because hydrogen bonds prevent any two molecules to come very close thereby  creating gaps. This gap is filled up when ice melts , which results in overall reduction in volume of water.

3) Uneven distribution of charge results in water molecules becoming polar in nature . A polar substance  can be dissolved in polar solvents only.

4) It is due to property of surface tension. Property  of surface tension results due to molecules of water near the surface experiencing a  net downward  force due to hydrogen bonds . It is due to fewer hydrogen bonds made by them.

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## The graph of an exponential function is a curved line that increases or decreases True False

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The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## Which statement is most correct about self-esteem? A. Self-esteem can fluctuate depending on circumstances. B. Self-esteem only fluctuates after the age of 30. C. Self-esteem does not fluctuate at all throughout life. D. Self-esteem begins at a very high level and decreases throughout life.

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1. The answer is “C”.

“Identical twins” who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

2. The answer is “A”.

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in “consensus democracy” in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

3. The answer is “D.  showing a learner how to correct common mistakes”.

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.

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## Which statement is most correct about self-esteem? A. Self-esteem can fluctuate depending on circumstances. B. Self-esteem only fluctuates after the age of 30. C. Self-esteem does not fluctuate at all throughout life. D. Self-esteem begins at a very high level and decreases throughout life.

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1. The answer is “C”.

“Identical twins” who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

2. The answer is “A”.

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in “consensus democracy” in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

3. The answer is “D.  showing a learner how to correct common mistakes”.

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.

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## If competition decreases in a certain industry select one: a. a company that is in that industry may have and exert more economic power. b. prices will most likely be lower in that industry c. resources will be allocated more efficiently d. it would not matter because competition has very little affect in a market economy. question 2 not yet answered marked out of 1.00 not flagged flag question question text the sherman anti-trust act

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If competition decreases in a certain industry select one: a. a company that is in that industry may have and exert more economic power. b. prices will most likely be lower in that industry c. resources will be allocated more efficiently d. it would not matter because competition has very little affect in a market economy. question 2 not yet answered marked out of 1.00 not flagged flag question question text the sherman anti-trust act

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## Choose the answer which best explains how vasoconstriction can cause increased blood pressure. choose the answer which best explains how vasoconstriction can cause increased blood pressure. vasoconstriction increases peripheral resistance (also called vascular resistance). vasoconstriction decreases cardiac output. vasoconstriction increases cardiac output. vasoconstriction decreases peripheral resistance (also called vascular resistance).

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There are two systems in the human body that are responsible for the coordination between the functions of different systems to achieve the unity of the living organism’s body. These two systems are the nervous system and the endocrine system. The action of the nervous system is fast and takes a short time, while the action of the endocrine system is slow and takes a long time.

The functional unit of the nervous system is the nerve cell or the neuron. The neuron consists of a cell body and the axon. The cell body starts with the dendrites that receive the messages or the impulses from other neurons or from different sense organs or receptors. These impulses are then transmitted through the cell body. The cell body contains a nucleus and different organelles which help the nerve cell to perform its functions. The nerve impulse is then transmitted to the axon.

The axon is an extension from the cell body. There are some cells called Schwan cells that secrete a myelin sheath to insulate the axon from the surrounding medium. The insulated axons have more ability to conduct the impulses than non-insulated axons. The axon ends with the terminal arborizations. The terminal arborizations of a nerve cell connect to the dendrites of the next cell or to the afferent organ. The gaps between the dendrites and the terminal arborizations are called the synapses.

The nerve impulse is an electrochemical phenomenon i.e. an electrical phenomenon with a chemical nature. The membrane of the axon acts as a barrier between an outside positively charged medium and an inside negatively charged medium. This makes a potential difference of  -70mV. This state is called the resting potential. When the membrane is subjected to a stimulus, the positive charges enter to inside and the negative charges exit to the outside. The potential difference now becomes +40mV. This state is called the depolarization state. The point of stimulation acts as a new stimulus for the next point and so on. The membrane sooner gains its permeability again and the positive charges return to the outside and the negative charges to inside. This state is called repolarization.

The nerve impulse reaches the synapse. There are some neurotransmitters that are excited by the nerve impulse coming and carry the message across the membrane. Some receptors receive theses neurotransmitters on the dendrites of the next neuron. These receptors act as a stimulus for the new cell.

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## Instructions:Select the correct answer. Why does a solid change to liquid when heat is added? A-The spacing between particles decreases. B-Particles lose energy. C-The spacing between particles increases. D-The temperature decreases.

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There are two systems in the human body that are responsible for the coordination between the functions of different systems to achieve the unity of the living organism’s body. These two systems are the nervous system and the endocrine system. The action of the nervous system is fast and takes a short time, while the action of the endocrine system is slow and takes a long time.

The functional unit of the nervous system is the nerve cell or the neuron. The neuron consists of a cell body and the axon. The cell body starts with the dendrites that receive the messages or the impulses from other neurons or from different sense organs or receptors. These impulses are then transmitted through the cell body. The cell body contains a nucleus and different organelles which help the nerve cell to perform its functions. The nerve impulse is then transmitted to the axon.

The axon is an extension from the cell body. There are some cells called Schwan cells that secrete a myelin sheath to insulate the axon from the surrounding medium. The insulated axons have more ability to conduct the impulses than non-insulated axons. The axon ends with the terminal arborizations. The terminal arborizations of a nerve cell connect to the dendrites of the next cell or to the afferent organ. The gaps between the dendrites and the terminal arborizations are called the synapses.

The nerve impulse is an electrochemical phenomenon i.e. an electrical phenomenon with a chemical nature. The membrane of the axon acts as a barrier between an outside positively charged medium and an inside negatively charged medium. This makes a potential difference of  -70mV. This state is called the resting potential. When the membrane is subjected to a stimulus, the positive charges enter to inside and the negative charges exit to the outside. The potential difference now becomes +40mV. This state is called the depolarization state. The point of stimulation acts as a new stimulus for the next point and so on. The membrane sooner gains its permeability again and the positive charges return to the outside and the negative charges to inside. This state is called repolarization.

The nerve impulse reaches the synapse. There are some neurotransmitters that are excited by the nerve impulse coming and carry the message across the membrane. Some receptors receive theses neurotransmitters on the dendrites of the next neuron. These receptors act as a stimulus for the new cell.

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## How is the national debt affected by the national budget? A. The debt decreases as the government prints money. B. The debt decreases when spending is greater than taxes. C. The debt increases every year that there is a budget deficit. D. The debt increases when the budget is balanced.

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How is the national debt affected by the national budget? A. The debt decreases as the government prints money. B. The debt decreases when spending is greater than taxes. C. The debt increases every year that there is a budget deficit. D. The debt increases when the budget is balanced.

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## . Which of the following statements is accurate? A. If an object’s velocity is changing, it’s either experiencing acceleration or deceleration. B. If an object’s velocity decreases, then the object is accelerating. C. If an object is said to be decelerating, its velocity must be increasing. D. If an object’s velocity remains constant, its acceleration must be increasing.

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Answer:

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

Explanation:

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t²      (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the  equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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## In? 2009, the world suffered a global economic crisis that resulted in dramatic decreases in worldwide exports.? today, we see increasing growth in world trade with world exports of merchandise increasing from? \$12 trillion in 2009 to nearly what amount in? 2012? a. ?\$15 trillion b. ?\$20 trillion c. ?\$18 trillion d. ?\$16 trillion e. ?\$14 trillion

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Depreciation=(equipment cost-salvage value)/useful life

Depreciation=(16,950−4,200)÷6
=2,125 per year

Book value after 3 years
=16,950−2,125×3
=10,575

Now find the amount of depreciation to be charged against the equipment during each of the remaining years of its useful life
Depreciation=(equipment cost-salvage value)/useful life

Depreciation=(10,575−1,695)÷3
=2,960

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## You drink a beverage with 145 mg of caffeine. Each hour, the caffeine in your system decreases by about 12 percent. How long until you have 21mg of caffeine?

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Answer:

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

So, AD=AB=44.8 cm

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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## Gravity is an attractive force that decreases as the mass of an object increases. True or false

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Gravity is an attractive force that decreases as the mass of an object increases. True or false

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## Which situation would be best represented by a linear function? The temperature of a glass of ice water increases by a factor of 1.05 until it reaches room temperature. Wind chill temperature decreases at a greater rate for a low wind velocity and decreases at a lower rate for a high wind velocity when the temperature is 10° Fahrenheit. The outside temperature decreases at a constant rate per hour between sunset and sunrise. The body temperature of a person with pneumonia increases rapidly and then decreases as an antibiotic takes effect.

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Answer:

Hence, the amount he makes each hour working at a restaurant is:

\$ 8.5

Step-by-step explanation:

Kyung works 5 hours at a restaurant each Wednesday.

He also earns \$37 a week delivering newspapers.

Kyung makes a total of \$79.50 each week.

If m represents the amount he makes per hour at the restaurant.

So, the total amount he receives each week= 5m.

Hence, by the above equations we have the equation as:

37+5m=79.50

subtracting both side by 37 we get:

5m=79.50-37

5m=42.5

Now dividing both side of the equation by 5 we get:

m=8.5

Hence, the amount he makes each hour working at a restaurant is:

\$ 8.5

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## In 2010, the population of a town is 8500. the population decreases by 4.5% each year. write an equation to find the population of the town t years after 2010. in what year will the population of the town be 7000.

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Answer: The first situation

Step-by-step explanation:

First, let’s isolate the x in the equation:

If you want to calculate the cost of each shirt, that would be: the money that Angel has, minus the shipping charge, divided by the number of shirts that he bought.

If you want to calculate the number of shirts that Angel could buy, that would be: the money that Angel has, minus the shipping charge, divided by the cost of each shirt.

Then, for the second situation:

The money that Angel has is 29, the shipping charge is 5, and the number of shirts is 8. So the situation can be perfectly represented by the equation.

For the third situation:

The money that Angel has is 29, the shipping charge is 5, and the cost of each shirt is 8. So the situation can be perfectly represented by the equation.

The first situation is the only one that can’t be represented by the given equation because:

The money that Angel has is 29, the shipping charge is 8 and the cost of each shirt is 5. If you substract the money that Angel has, minus the price of each shirt and then divide by the shipping charge you will not get the number of shirts that he can buy.

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## Which describes a relationship when calculating the energy of a photon? The energy of the photon is directly proportional to frequency. The energy of the photon is inversely proportional to frequency. As the energy of the photon increases, Planck’s constant increases. As the energy of the photon increases, Planck’s constant decreases.

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Which describes a relationship when calculating the energy of a photon? The energy of the photon is directly proportional to frequency. The energy of the photon is inversely proportional to frequency. As the energy of the photon increases, Planck’s constant increases. As the energy of the photon increases, Planck’s constant decreases.
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## Will Upvote!! If the mass of two objects increases, the force of gravity between them increases decreases remains the same could increase or decrease, depending on the shape of the objects

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Answer:

Option A, B, D and E are the characteristics of Metal

Explanation:

Some of the common characteristics of most of the metals are –

a) Most of the metal have lustrous surface which means they glitter in the presence of light for example – Iron, copper etc.

b) All metals are malleable which means they can be molded into different shape on beating for example copper can be converted into copper wire, jug, plates etc.

c) All metals are good carrier of charge and thus they are good conductors. These metals have valence shells electron which are free to move with a small force. Good metal conductors are copper , iron etc

d) Most of the metal are solid at room temperature.

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## Agatha harkness-smythe is determined to ban guns in the united states. this is a controversial topic and social scientists have debated whether the ownership of guns by citizens increases or decreases crime. agatha could go to the library and look up studies on the linkage between guns and crime rates. instead, agatha just reads the local newspaper and only cuts out articles about robberies in which the “bad guy” used a firearm. agatha is demonstrating a ____________.

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Answer:

The correct answer to fill in the blank would be this: Interpersonal psychotherapy, also known as IPT, refers to the short-term therapy that focuses on the contect of current social relationships.

Explanation:

Interpersonal Psychotherapy was first developed around the 1970´s by Gerald Klerman and Myrna Weissman to treat, in coordination with cognitive behavioral therapy, and medication, severe cases of major depression. This type of therapy, as well as cognitive therapy, are known as psychosocial interventions that require professionals to be trained specifically in them to be able to apply them. The focus of IPT is precisely to be a short-term, no more than 16 weeks, treatment that exposes the patients to understand the way that mood can impact life´s events and vice versa, and it also works on interpersonal problems, among other things.

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## As the atomic number of the metals of Group 1 increases, the ionic radius A. Increases B. Decreases C. Remains the same D. Cannot be determined

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Answer:

6 electrons

Explanation:

With the quantum model of the atom, initiated by Bohr, the orbital (space where is more probably to find the electron) was divided into quantum numbers.

The principal number (n), is the number of the shell, it goes from 1 to 7 and is represented by the letter K, L, M, N, O, P, Q. The maximum number of electrons in the shells are, K = 2, L = 8, M = 18, N = 32, O = 32, P = 18, Q =8.

The secondary number (l) is the subshells, and it goes from 0 to 4 and is represented, in order, for the letter, s, p, d, f. The maximum number of electrons permitted in each subshell is s = 2, p = 6, d = 10, f = 14.

The magnetic number (ml), is represented by orbitals, and it goes from -l to +l, passing by 0. The maximum number of electrons is 2 for each one.

The spin number (ms) refers to the rotation of the electron, and it can be +1/2 or -1/2.

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## Caitlin is designing a railing for a set of stairs. the railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches. which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? y = –x 36 y = –3x 36 y = x 36 y = 3x 36

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Answer:

The maximum number of acres of barley the farmer can plant and still be under budget would be of 123 acres.

Step-by-step explanation:

The farmer grows two types of seeds, with a budget of \$10,000. He has spent \$4,200 in wheat seed, and wants to know the maximum number of barley he is able to plant.

First of all, as \$10,000 – \$4,200 is equal to \$5,800, that is the amount of money he is able to spend in barley seeds.

As every acre of barley seed costs \$47 to plant, in order to know how many acres he can plant we have to do the following calculation:

5,800 / 47 = maximum of acres the farmer can plant

5,800 / 47 = 123.40

The maximum number of acres of barley the farmer can plant and still be under budget would be of 123 acres.

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