2(3x-9)=2x+10 what's x

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

2(3x-9)=2x+10

6x - 18 = 2x + 10

4x = 28

x = 7

Answer 2

Answer:

x = 7

Step-by-step explanation:

In order to find the value of x, isolate it in the equation.

1) First, distribute the 2 to the terms inside the set of parentheses.

[tex]2 (3x - 9) = 2x + 10 \\6x - 18 = 2x + 10 \\[/tex]

2) Next, move all the x terms to one side and all the other terms to the other side. Subtract both sides by 2x and add both sides by 18.

[tex]6x - 18 = 2x + 10 \\4x = 28[/tex]

2) Divide both sides by 4 to finally isolate x.

[tex]4x = 28 \\x = 7[/tex]

Thus, x = 7.


Related Questions

Draw a graph of Lin’s distance as a function of time for this situation:



Lin walked a half-mile to school at a constant rate. Five minutes after arriving at school, Lin realized that she had left her permission slip at home. Lin began sprinting home, but when she was halfway there she got tired and walked the rest of the way.

Answers

The graph of Lin's distance as a function of time cannot be a straight line graph because of decrease in speed.

Given that Lin walks half a mile at a constant rate i.e. Lin velocity is constant.

If the speed is low then the time will be high. If speed is high then the time will be low because of the following rule:

Speed=Distance/ time.

For the first five minutes the graph will be upward sloping because he was sprinting and his speed was high so he will cover much more distance.

But after five minutes the graph will be downward sloping as the speed becomes low and he willcover less distance.

Hence the graph of Line's distance will not look like linear curve.

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what is the range of the function of graph?
a.) all real numbers
b.) all real numbers greater than or equal to 0
c.) all real numbers greater than or equal to 1
d.) all real numbers greater than or equal to 2

Answers

The correct answer is "all real numbers greater than or equal to 2".

HALP PLS
what is x?

x =x=x, equals
^\circ

degrees

Answers

Answer:

x = 90°

Step-by-step explanation:

The line that contains angle x and the 90° angle is a straight line.

A straight line measures as 180°.

So, subtracting the given 90° from the 180° line that the two angles share, we would get the measure of x.

[tex]180-90 =x[/tex]

Which means, [tex]x=90[/tex].

So the value of x is 90°.

Which of the following is 25 9/16 equal to?

Answers

Answer:

Step-by-step explanation:

25.5625

Answer:

25.5625

Step-by-step explanation:

The solution is in the image

Which function represents a reflection of f(x) = 2(0.35)x over the y-axis?

h(x) = 2(0.35)x
h(x) = –2(0.35)x
h(x) = 2(0.35)–x
h(x) = 2(–0.35)–x

Answers

The function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)

How to determine the reflection?

The equation is given as:

f(x) = 2(0.35)^x

The reflection of a function over the y-axis is :

f'(x) = f(-x)

So, we have:

f(-x) = 2(0.35)^(-x)

From the list of options, we have

h(x) = 2(0.35)^(-x)

Hence, the function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)

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Read each question carefully and show work. Put your answer in the provided space.

Answers

45+6888=786 ABC=Y and Y =565

if 4200 men have sufficient food for 32 days at the rate of 12 hectogram per person , how many men may leave so that the same food is sufficient for 42 days at the rate of 16 hectogram per person

Answers

Using proportions, it is found that 66 men can leave so there will still be enough food.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the situation described, the rule of three is given as follows:

4200 men - 32 days - 12 hectogram per person.

x men - 42 days - 16 hectogram per person.

Considering that the amount per person and the number of people is inverse proportional, we have that:

[tex]\frac{4200}{x} = \frac{32}{42} \times \frac{16}{12}[/tex]

[tex]\frac{4200}{x} = \frac{512}{504}[/tex]

Applying cross multiplication:

512x = 504 x 4200

x = 504 x 4200/512

x = 4134.

The amount of men that can leave is:

4200 - 4134 = 66.

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Help please!!! Write an equation that represents the line.
Use exact numbers.

Answers

y=1x-5 is an equation i think
Y= 6/5x -5
The slope is increasing the number will be positive and since it goes up six and over five that would be the fraction of the slope and 5 is the point on line Y

[please answer quickly] it takes 8 hours to paint a room. how long will it take to paint 2/3 of the room?

Answers

Answer:

5 hours 20 minutes.

Step-by-step explanation:

8 * 2/3

= 16/3

= 5 1/3

= 5 hours 20 minutes.

Q.2. If the line y=x is reflected over the x - axis and made flatter(less steep) by a factor of ½ then write the equation of the new line

Answers

Using translation concepts, the equation of the new line is:

[tex]y = -\frac{1}{2}x[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem:

The function is reflected over the x-axis, hence it is multiplied by -1.It is made flatter by a factor of 0.5, that is, it is multiplied by 1/2.

Hence the equation of the new line is:

[tex]y = -1 \times \frac{1}{2} \times x = -\frac{1}{2}x[/tex]

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solve for the balloon volume using the equation below

Answers

The volume of the balloon is 1441.64cm³.

How to calculate the volume?

The radius of the balloon is given as 7cm. Also, the equation to calculate the volume is given as c³/6π²

The circumference c will be:

= 2πr = 2 × 22/7 × 7

= 44

The volume will be:

= c³/6π²

= 44³/(6 × 3.14²)

= 85284/(59.1576)

= 1441.64

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A paper bag contains a mixture of 3 types of candy. there are 10 packs of fuzzy peaches, 7 packs of sour keys, and 3 packs of nerds. suppose a game is played in which a candy is randomly taken from the bag, replaced, and then a second candy is drawn from the bag. if you are allowed to keep the second candy only if it was the same type a the one that was drawn the first time, calculate the probability of each of the following: a) you will keep a pack of fuzzy peaches b) you will be able to keep any of the candy c) you will not be able to keep any of the candy

Answers

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

How to calculate the probability?

a. Based on the information given, the probability that the person will be able to keep a pack of fuzzy peaches will be:

= 10/(10 + 7 + 3) × 10/(10 + 7 + 3)

= 10/20 × 10/20

= 1/4

= 0.25

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

b. The probability to be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 7/20) + (3/20 × 3/20)

= 100/400 + 49/400 + 9/400

= 158/400

= 0.395

The probability to be able to keep any of the candy will be 0.395.

c. The probability that you will not be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 13/20) + (3/20 × 17/20)

= 100/400 + 91/400 + 51/400

= 242/400

= 0.605

The probability that you will not be able to keep any of the candy will be 0.605.

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Jonh is paid $26 for 8 hours work how much should he be paid for working 37 hours at the same wage

Answers

Answer:

$120.25

Step-by-step explanation:

Divide 37 by 8. You get 4.625. Multiply 4.625 by 26. You get 120.25.

I hope this helps!

Look at sample problem 23.2. How many unpaired electrons are in (enter a number such as 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10) 1. Ag 2. Mn3 3. Cr3

Answers

Ag+ = No unpaired electronMn3+ = 4 unpaired electronCr3+ = 3 unpaired electron

What are unpaired electrons?An unpaired electron is an electron that occupies an atom's orbital single rather than as part of an electron pair. Each atomic orbital of an atom can hold two electrons with opposing spins. Because the formation of electron pairs is generally energetically advantageous, whether as a chemical bond or as a lone pair, unpaired electrons are extremely uncommon in chemistry because an entity carrying an unpaired electron is usually quite reactive.

To find the unpaired electrons:

Ag+ represents the d10 system. Because there are no unpaired electrons, the system is diamagnetic.Mn3+ has the electronic structure [Ar]3d44s0. In 3d, there are four unpaired electrons.Because of the loss of three electrons, the chromium ion Cr3+ has 24e3e=21e.

Therefore, unpaired electrons are:

Ag+ = No unpaired electronMn3+ = 4 unpaired electronCr3+ = 3 unpaired electron

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There are 52 people in a room. What is the largest value of n such that the statement ""at least n people in this room have birthdays falling in the same month"" is always true?

Answers

The largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5

How to determine the value

From the given information, we have 52 people in the room

Note that there are 12 months in a year

Let's divide the number by people by the months of the year

⇒ [tex]\frac{52}{12}[/tex]

⇒ 4 remaining 4

If 48 people are evenly distributed over twelve months, then there will be four people born in each month.

The remaining four people can be placed each in any of the twelve different months.

Hence, if 52 people are evenly distributed as possible, there will be eight months with four people and four months with five people.

Thus, the largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5

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16. If x= y² + 12, what is the value of y in terms of (A)x+12 (B) x-12 (C) √√x+12 (D) √√x-12​

Answers

Answer:

D. y =  √(x - 12)

Step-by-step explanation:

x  = y² + 12

y² = x - 12

y = √(x - 12)

Rule 1: Multiply by 2 then add 1 starting from 1.
Rule 2: Divide by 2 then add 4 starting from 40.

please help me make a sequence :)



PLEASE DONT DELETE MY QUESTION :(

Answers

Rule 1: Multiply by 2 then add 1 starting

( n x 2 +1) => 2n + 1

n is the position of our terms, so I substitute 1 because you're told to start from 1 which becomes our first term

2n + 1

2 x 1 + 1 =3

2 x 2 + 1 = 5

2 x 3 + 1 = 7

2 x 4 + 1 = 9

3,5,7,9....

(you can clearly see the sequence increasing by 2 each time, not following Multiply by 2 then add 1)

However, if we were to do add one each time, you'll add one to your pervious answer. So, this time I'll substitute the pervious answer

2 x 1 + 1 =3

2 x 3 + 1 = 7

2 x 7 + 1 = 15

2 x 15 + 1 = 31

3,7,15,31....

(from 3 to 7, you clearly see its multiplied by 2, then +1 & that's our sequence, this method apply to the second rule too of using previous)

Rule 2: Divide by 2 then add 4

(n ÷ 2 + 4) => n/2 + 4

n/2 + 4

(starting from 40.)

40/2 + 4 = 24

24/2 + 4 = 16

16/2 + 4 = 12

12/2 + 4 = 10

24,16,12,10.....

Answer: (started off with the number it asked of)

R 1 -

1,3,7,15,31....

(1 x 2 +1 does give 3)

R 2 -

40, 24,16,12,10.....

(40÷2 = 20, then + 4, gives 24)

Hope this helps!

Can someone help me with this?

Answers

U can refer to the picture that I’ve attach below

Which represents the inverse of the function f(x) = 4x?
O h(x) = x + 4
• h(x) = x-4
O h(x) = =x
• h(x) = =x

Answers

Answer: [tex]f^{-1}(x)=\frac{x}{4}[/tex]

Step-by-step explanation:

Let [tex]f(y)=x[/tex].

[tex]x=4y\\\\y=\frac{x}{4}\\\\\therefore f^{-1}(x)=\frac{x}{4}[/tex]

PlllZZZZZZZZ HELPPPPP

Answers

Answer:

x = 1.4

Step-by-step explanation:

Visualize the figure as a rectangle with width 4 and height 1 combined with a triangle with base 1 and height 1.

Next, use the Pythagorean Theorem, a^2 + b^2 = c^2. Variables a and b represent the lengths of the legs, in this case 1 and 1, and variable c represents the length of the hypotenuse, in this case x.

1^2 + 1^2 = x^2

2 = x^2

x = 1.41421356237

Step-by-step explanation:

imagine that this shape is the combination of 2 shapes :

1. a rectangle 4×1

it goes from the top down the side of 4 until the tilted line x begins.

2. a right-angled triangle

x being the Hypotenuse (the baseline opposite of the 90° angle). and the legs are the invisible line of 1 (going from the top right of x in parallel to the 1 line all the way to the 5 line) and the part of the 5 line below the 4 line : 5-4 = 1.

so, x can be solved by using Pythagoras

c² = a² + b²

c being the Hypotenuse, a and b are the legs.

x² = 1² + 1² = 2

x = sqrt(2) = 1.414213562... ≈ 1.4

make x the subject! urgent help

Answers

Answer:

[tex]x = \frac{n}{b - {t}^{2} } [/tex]

Step-by-step explanation:

I supposed that is a "n".

Steps as below:

[tex] {t}^{2} = b - \frac{n}{x} \\ b - \frac{n}{x} = {t}^{2} \\ - \frac{n}{x} = {t}^{2} - b \\ \frac{n}{x} = - ( {t}^{2} - b) \\ \frac{n}{x} = b - {t}^{2} \\ n = x(b - {t}^{2} ) \\ x(b - {t}^{2} ) = n \\ x = \frac{n}{b - {t}^{2} } [/tex]

Answer:

[tex]x = \frac{h}{b-t^2}[/tex]

Step-by-step explanation:

[tex]t^2 = b - \frac{h}{x}[/tex]

• First add  [tex]\frac{h}{x}[/tex]  to both sides:

⇒ [tex]\frac{h}{x} + t^2 = b[/tex]

• Now subtract  [tex]t^2[/tex]  from both sides:

⇒ [tex]\frac{h}{x} = b - t^2[/tex]

• Now multiply both sides by [tex]x[/tex] :

⇒ [tex]h = x(b - t^2)[/tex]

• Next divide both sides by  [tex](b - t^2)[/tex] :

⇒ [tex]\frac{h}{b-t^2} = x[/tex]

∴  [tex]\boxed{x = \frac{h}{b-t^2}}[/tex]  

After a robbery, a thief jumps into a taxi and disappears. An eyewitness on the crime scene is telling the police that the cab is yellow. In order to make sure that this testimony is worth something, the assistant district attorney makes a Bayesian analysis of the situation. After some research, he comes up with the following information: (1) In that particular city, 80% of taxis are black and 20% of taxis are yellow; and (2) Eyewitnesses are not always reliable and from past experience, it is expected that an eyewitness is 80% accurate. In other words, he will identify the color of a taxi accurately (yellow or black) eight out of ten times. What is the probability that the cab was really yellow, given that it was reported as being yellow

Answers

The probability that the cab was really yellow given that it was reported as being yellow is 0.32.

Given that there are 80% black taxis and 20% yellow taxis, witness is 80% accurate.

Probability is the chance of happening an event among all the events possible. It lies between 0 and 1. The value of probability can be calculated through the following formula:

Probability=Number of items/ total items.

Black taxis=80%

Yellow taxs=20%

Eyewitness is accurate=80%

Probability that the cab was really yellow=

P(X=Yellow)P(Witness is correct)+P(X=Black)P(Witness is incorrect)

Probability that car is black=0.8

Probability that car is yellow=0.2

Probability that witness is correct=0.8

Probability that witness is incorrect=1-0.8

=0.2

We have to just put the values in the formula given above.

Required probability=0.2*0.8+0.8*0.2

=0.16+0.16

=0.32

Hence the probability that the cab is really yellow is 0.32.

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If there are 24 blue blocks and six of them are red what percentage of the blocks are red

Answers

Answer:

20 % are red

Step-by-step explanation:

I THINK this is what you mean:

24 blue + 6 red = 30 blocks total

6 red / 30 total = 6/30 = .2   = 20 %

Determine the unknown value in the table using the constant of proportionality.
Time (seconds) 12 18 40
Number of Pencils Produced 42 63

Answers

The unknown value in the table using the constant of proportionality is; 96

How to find the constant of proportionality?

The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant.

We are given the coordinates;

(12, 42), (18, 63), (40, y)

where x-values represents time in seconds and y-values represents number of pencils that were produced.

To find the constant of proportionality is as good as finding the slope between two consecutive points as;

m = (63 - 18)/(42 - 12)

m = (45/30)

m = 1.5

Thus to find the unknown value y, we will use the formula;

(y - y1)/x - x1) = m

So we will use the coordinates; (18, 63), (40, y)

Plugging them into the formula above will result in;

(y - 63)/(40 - 18) = 1.5

y - 63 = 1.5 * 22

y - 63 = 33

y = 33 + 63

y = 96

Thus, we can conclude that using the constant of proportionality, the number of pencils that were produced after a time of 40 seconds is 96 pencils.

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Find the mixed number halfway between 6.4 and 6½. Give
your answer in its simplest form.

Answers

Answer:

6.45

Step-by-step explanation:

I am not staring at zero.  I am starting at 6.4, so I take 6.4 and add that to half way between 6.5 and 6.4.

6.4 + 1/2(6.5-6.4)  Combine in the parentheses

6.4 + 1/2(.5)  Take half of .5

6.4 + .05  add

6.45

Gavin collects a certain type of seashell. He has 160 seashells. The seashells' weights are distributed normally with a mean of 120 grams and a
standard deviation of 26 grams.
How many of the seashells weigh at least 68 grams?
A 109
B. 156
C. 134
D. 152

Answers

Answer:

Answer: B.156

Step-by-step explanation:

Given: Total seashells = 160

mean = 120

population standard deviation = 26 grams

The probability that the seashells weigh at least 68 grams :-'

Total seashells weigh at least 68 grams = 0.9772 x 160 = 156.352≈ 156

Hence, the correct option is B.156

please mark brainiest

Examine the inequality and its graph. Which values are part of the solution set? Check all that apply. x = 3 x = –5 x = negative one-half x = –4.5 x = –4

Answers

The value "x = 3" and "x = -1/2" are part of the solution set.

What can be represented on linear inequality?

We can represent any linear inequality using any of the following forms:

x > bx < bx ≥ bx ≤ b

Now, if the sign is pointing towards x, it means that x is greater than b., so, the line under the greater sign means that x can also equal b.

The options given are:

3: is greater than -4-5: is not greater than -4-1/2: is greater than -4-4.5: is not greater than -4-4: is not greater than -4.

Hence, the value "x = 3" and "x = -1/2" are part of the solution set.

Therefore, the Option A and C is correct.

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To get 14 liters of antifreeze solution, how much do i need to add to x liters of the solution?

Answers

To get 14 liters of antifreeze solution, add 14 - x liters of the solution

Calculating volume

From the question, we are to determine how many liters should be added to the solution

From the given information,

We are to get 14 liters of antifreeze solution,

and

we already have x liters of the solution

To get 14 liters of antifreeze solution, we will add 14 - x liters of the solution

Hence, to get 14 liters of antifreeze solution, add 14 - x liters of the solution

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Select the correct answer.
If vector u = <-3.5, -1.5> and vector v = <-1.25, 2.25>, which graph shows the resulting vector for 2v - u?

Answers

The graph that aligns with the information is graph D.

How to illustrate the graph?

We know that vector addition is scalar addition.

Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>

2v = < -2.5, 4.5>

2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >

2v-u = < 1 , 6 >

This vector is basically i + 6j which is drawn in option D

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Find the sum of the arithmetic series 19 + 25 +31 +37 +… where n=9

Answers

The sum of the arithmetic series 19 + 25 + 31 + 37 + … at n = 9 exists 387.

An arithmetic series exists given, 19 + 25 + 31 + 37 + … sum of this series exists to be defined at n = 9.

What is arithmetic progression?

Arithmetic progression exists the series of numbers that contain a common difference between adjacent values.

The sum of an arithmetic series exists given as

[tex]$S_n = \frac{n}{2}[2a+(n - 1)d][/tex]

Where n be the total terms =9

a be the first term = 19

d be the common difference = 6

Substitute the values in the above equation, we get

[tex]$S_9 = \frac{9}{2}\left[2\cdot 19+\left(9\:-\:1\right)6\right][/tex]

[tex]$ = \frac{9}{2}\left[86\right][/tex]

= 387

Therefore, the sum of the arithmetic series 19 + 25 + 31 + 37 + … at

n = 9 exists 387.

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Bob witnesses an auto accident and impulses from the ___________ division of the autonomic nervous system increase his heart rate.-spinal-parasympathetic-sympathetic-cranial describe the timing of this long bone fracture. [40]. AAntemortemBPerimortemCPostmortem An auditor who qualified an opinion because of an insufficiency of audit evidence should refer to the scope limitation in the Auditor's Note to the Financial Statements Responsibility Section Opinion Section 01. O 2. Yes No Yes Yes Yes No O3. No Yes Yes O 4. Yes Yes Yes What is the molarity of 75 mL H2SO4 if it was neutralized with 22. 3 mL of 0. 35 M NaOH?Pweeezzz help me!! I need a full explanation with the equation. Will give brainliest! intervention strategies for students at risk for aggression and violence are most effective when they At the geriatric day care program a client is crying and repeating "I want to go home. Call my daddy to come for me." The nurse shouldA) Inform the client that she must wait until the program ends at 5:00 pm to leaveB) Give the client simple information about what she will be doingC) Tell the client you will call someone to come for her and suggest joining the exercise group while she waitsD) Firmly direct the client to her assigned group activity Write two functions, triangle and nestedTriangle)Both functions take two parameters: a turtle and an edge length. The pseudocode for triangle) is trisngle(t, length) 1 It langth 10: Repeat 3 tines: Move t,the turtle, forward length ateps. Turn t left 120 degreea, Call triangle with t and length/2 TRUE OR FALSE the cognitive approach to personality explains differences in personality as differences in the way people respond to stress. Laws/legislation that protect citizens against xenophobia and discrimination According to the research on the post-event misinformation effect:a. people are remarkably resistant to new, inconsistent information.b. a question containing incorrect information can alter people's recall of the original event.c. misleading information influences recall for children, but not for adults.d. these new memories created by post-event information are more vivid than memories created by real events. Question 1: $100 This practice involves purchasing components rather than producing them in house.Define ___ - stock-out costs - the outsourcing - the two-bin inventory system - the the seasonal demand - total ordering costs eliminate the parameter to convert the parametric equations of a curve into rectangular form (an equation in terms of only x, y). identify how you would tactfully communicate to the medical provider that need to meet all third-party requirements when it comes to documentation and correct coding. Study with Quizlet and memorize flashcards containing terms like The book publishing and motion-picture industries are both examples of ______., ...' Compared to the past, one unique feature of relationships today is that __________.relationships tend to be less committedmany long-term relationships start with sexmore women are marrying men who are younger than thempeople tend to date people similar to themselves when someone dies, his/her assets are given to the living based on a set of legal priorities. the correct order of priorities is: can you relate the decision making skills you learned this week to a personal/business situation? show us your analysis with at least one of the decision making tools you learned in this chapter! Find the volume of the solid of revolution generated by revolving about the x-axis the region under the following curve. y= x from x=0 to x=20 (The solid generated is called a paraboloid.) The volume is (Type an exact answer in terms of n.) the collective attitudes/beliefs/values of a population about politics and government is known as: A parallel plate capacitor is charged and then isolated. The effect of increasing the plate separation, the charge, potential, and capacitance respectivelyA. constant, decreases, decreases.B. increases, decreases, decreases.C. constant, decreases, increases.D. constant, increases, decreases.