The charge for electricity consumption E is partly constant and partly varies as the number N of units used. The charge for 82 units is N 3,655 while the charge for 42 units is N 2055:

a) calculate the charge per unit of electricity
b) obtain a formula for E in terms of N​

Answers

Answer 1

The charge per unit of electricity is #415

The formula for E in terms of N is E = 375 + 40N

What is variation?

Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.

Analysis:

E = K + CN

where K and C are constants

When E = 3655, N = 82 and when E = 2055, N = 42

3655 = K + 82C ---------------1

2055 = K + 42C----------------2

subtract equation 2 from 1

40C = 1600

C = 40

substitute C in equation 1

3655 = K + 82(40)

3655 = K + 3280

K = 3655 - 3280 = 375

charge per unit is N = 1

E = 375 + 40(1) = #415

Formula for E in terms of N is E = 375 + 40N

In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N

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Related Questions

Help me solve this problem please

Answers

the mean numbers of point scored is greater than 12 points(C.)

Please someone help me answer this! I will return back

Answers

Answer:

Negative correlation

Step-by-step explanation:

You can draw a line of best fit the would go downhill from left to right which would be a negative slope. This means it has a negative correlation.

24. Write a formula to estimate the amount of material required to cover Firm 3's structure, not including the floor. Explain your reasoning. (2 points: 1 for the formula, 1 for the explanation)

Answers

Formula to estimate the amount of material required to cover firm 1's structure not including the floor is; πr² + πrh

How to Generate Formulas?

From the complete question seen online,

The given parameters are;

The shape of the firm 1's structure = Cylindrical shape

The radius of the firm 1's structure = 35

Height of firm 1 structure = 60

The amount of material to cover the firm 1 structure not including the floor = The surface area of a cylinder excluding the base

The formula for the surface area of a cylinder = 2πr² + πrh

If we take away the area of the base, we have;

Surface area of a cylinder excluding the case  = 2πr² + πrh - πr² = πr² + πrh

Formula to estimate the amount of material required to cover firm 1's structure not including the floor = πr² + πrh

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Calculate each probability, given that P(A) = 0.5, P(B) = 0.4 and P(A and B) = 0.1.
P(A | B). Show work!!

Answers

The answer should be 0.21

Answer:

P(A|B) =0.25

Step-by-step explanation:

P(A|B) = P(A and B) / P(B) = 0.1/0.4 =0.25

PLEASE HELP ME IVE BEEN SITTING HERE FOR HOURS

Answers

Answer:

0-9: 4

10-19: 4

20-29: 1

30-39: 4

40-49: 2

Step-by-step explanation:

Since frequency means how many times it showed up in the list

this all adds up to 15, making it an easy check.

hope this helps:)

(Look at image) Need help for question 6. Tried looking into it but still failed. I couldn’t understand what the question was asking me so I need some help asap by tomorrow.

Also do not mind the other answers. Those were already answered by epic people (thanks again)

Answers

Answer:

For 4 its 6 due to having 0 INCHES for 6 days (The answer to number 6 which is what your looking for is 1 12/8 simplify that and It'd be 2 1/2)

Step-by-step explanation:

This is because adding up the total rain falls will get you to 2 1/2

The radius of the surface of the water in the tank is increasing at a rate of 0.25m/min. at what rate is the area of the surface changing when the radius is 1.2m?

Answers

Answer:

1.88 m^2/min to the nearest hundredth.

Step-by-step explanation:

Area = π r^2

Using Calculus notation:

dA/dr = 2π r

dr/dt = 0.25  (given)

So the rate of change of area

dA/dt = dA/dr * dr/dt

So when r = 1.2

dA/dt = 2 π * 1.2 * 0.25

= 0.6π  m^2/min.

= 1.88 m^2/min to the nearest hundredth.

Hey! So I need to study for my Algebra 1 finals can someone link me a video or give me a way to study for algebra 1. I have a week or so

Answers

Answer:

Review your state Standards.

Notes

Khan on your topic or grade level

Dealta Math

Math Nation

Help me fast
Can u pls explain the question

Answers

AB=AD=8CM

Step-by-step explanation:

I Go To that school

What’s the circumference to this problem?

Answers

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex].  We can then input the value and we get that [tex]C=2*\pi*4[/tex] and as we solve it more the final answer that we get is [tex]C=25.133[/tex].

Hope this helps!  Let me know if you have any questions

1 in. = 2 ft. what is the area of the actual living room?​

Answers

Answer:

........................

Answer:

[tex]144ft^{2}[/tex] (144ft^2)

Step-by-step explanation:

Since the living room is 6 inches by 6 inches, the formula of the living room can be seen as: [tex]6in^{2}[/tex]. And since each inch is equal to 2 feet, (6*2=12) we can turn the equation into: [tex]12ft^{2}[/tex]. 12 times 12 is 144, so the answer is [tex]144ft^{2}[/tex]

question 7. HELP ME WITH THIS

Answers

Reduce the expression, if possible, by cancelling the common factors.

−3 is your answer!

have a nice day! please mark brainliest :)

.

Solve the following system of equations by linear combination: 5x + 2y = 14 y = x – 7 (4, –3) (2, –5) (–5, 2) (–3, 4)

Answers

The solution to the system of equations is (-3,4)

How to solve the system of equations?

The equations are given as:

5x + 2y = 14

y = x – 7

Substitute y = x – 7 in the first equation

5x + 2(x - 7) = 14

Expand

5x + 2x - 14 = 14

Evaluate the like terms

7x = 28

Divide

x = 4

Substitute x = 4 in y = x – 7

y = 4 – 7

Evaluate

y = -3

Hence, the solution to the system of equations is (-3,4)

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Kim asked the first 50 kids to school in the morning how they feel about waking up early. she uses their response to predict the responses for the entire school. was her survey random?

Answers

Kim's method of sampling the students in the given scenario is said to; It is not a random survey.

What is a random sample?

Random sampling is defined as a sampling technique whereby each sample has an equal probability of being chosen. This means that a sample chosen randomly is meant to be an unbiased representation of the total population.

In this question, we are told that Kim asked the first 50 kids to school in the morning about a question and used their responses to arrive at a conclusion.

Now, Kim's method is not random because it is biased as only those who came earliest were asked.

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what is the slope of the liner equation y=7x-2​

Answers

Answer:

Hence, slope of y=7x−2 is 7 and y -intercept is −2.

Step-by-step explanation:

The equation of any straight line can be written as y=mx+c, where m is its slope and c is its y-intercept.

Comparing the equation y=7x−2 with the standard form of the equation, we get:

m=7,c=−2

Hence, slope of y=7x−2 is 7  and y -intercept is −2

Hope this helps :)

Find the arc length and sectors perimeter of an 85 degree arc of a circle with a finger radius of 4ft

Answers

Answer:

Arc length = 5.93 ft

Perimeter = 13.93 ft

Step-by-step explanation:

85/360*2*π*4 = arc length

5.93411946 ft

Perimeter = 4+4+5.93 = 13.93 ft

Solve for x. 8x-6=10x-8

Answers

Answer:

x=1

Step-by-step explanation:Let's solve your equation step-by-step.8x−6=10x−8Step 1: Subtract 10x from both sides.8x−6−10x=10x−8−10x−2x−6=−8Step 2: Add 6 to both sides.−2x−6+6=−8+6−2x=−2Step 3: Divide both sides by -2.−2x−2=−2−2 x=1

2. a science museum has a spherical model of the moon with a diameter of 6.4 ft. what is the volume of the model to the nearest cubic foot? show your work.

Answers

The volume of the model to the nearest cubic foot is 137 ft³

Volume of a sphere

Volume of a sphere = 4/3πr³

π = 3.14Diameter = 6.4 ft

Radius, r = diameter / 2

= 6.4 ft / 2

= 3.2 ft

Volume of a sphere = 4/3πr³

= 4/3 × 3.14 × 3.2³

= 4/3 × 3.14 × 32.768

= 411.56608 / 3

= 137.188693333333

Approximately,

Volume of the sphere = 137 ft³

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does someone mind helping me with this problem? Thank you!

Answers

Anyea

Step-by-step explanation:

Answer:

180 inches squared (^2)

Step-by-step explanation:

To find the area of a rectangle, simply multiply the length by the width (15*12)

Don't forget it is squared! Good luck!

If AD=2:5 the coordinates of point F are. Point E has the coordinates (3.8, -3) and the coordinates of point D are

Answers

Using the assumed coordinates of point F, the coordinates of point D are (3,3)

How to determine the coordinates of D?

The given parameters are:

Ratio, m : n = 2 : 5

E = (3.8, -3)

The coordinates of point D is calculated using:

[tex]D = \frac{1}{m + n} * (mx_2 +nx_1,my_2 +ny_1)[/tex]

So, we have:

[tex]D = \frac{1}{2 + 5} * (2x_2 +5*3.8,2y_2 +5*-3)[/tex]

Evaluate the sum and the products

[tex]D = \frac{1}{7} * (2x_2 +18,2y_2 -15)[/tex]

Assume the coordinates of point F are:

F = (1.5,18);

The equation becomes

[tex]D = \frac{1}{7} * (2*1.5 +18,2*18 -15)[/tex]

Evaluate

[tex]D = \frac{1}{7} * (21,21)[/tex]

This gives

D = (3,3)

Hence, the coordinates of point D are (3,3)

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Select the correct answer from each drop-down menu.
A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of
sources. For each water source, he has sample with no treatment and a sample treated with the recommended amount of the water softener
salt.
He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
The conclusion drawn from the study is
v because the sample is
v . In this instance, an
v study was
performed.

Answers

The conclusion drawn from the study is valid because the sample is homogenous. In this instance, an experimental study was performed.

What is an experimental study?

An experimental study can be defined as a quantitative research method that is used by a researcher to determine and show the effects of changes in the dependent variable, while placing other relevant independent variables under control.

Based on the experimental study conducted by using water from a variety of sources, the conclusion which can be drawn from this study is valid because the sample is homogenous.

In this instance, we can infer and logically deduce that an experimental study was performed.

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Type the correct answer in the box. use numerals instead of words. a population of beetles increases by 5% every year. if at the start of the year the population is at 10,000 beetles, what will its population be after three years? at the end of the third year the population of beetles will be .

Answers

From the calculations, we can see that the number of beetles after three years is 11618 beetles.

What is an exponential problem?

The term "exponential problem" has to do with any problem in which the increase or decrease occurs exponentially.

In this case we have P = Poe^rt

Po = 10,000

r = 0.05

t = 3

P =  10,000 e^(0.05 * 3)

P= 11618 beetles

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if r=5 and h=3cm what is the volume of the cone (assume pi =3.14

Answers

Answer:

should be 78.5

Step-by-step explanation:

the formula for volume of a cone is V = pi^2 x H/3

so if you plug in the values you get V= 3.14 x5^2 x3/3 making the awsnser 78.5

Arrange the hyperbolas in increasing order of the horizontal widths of their asymptote rectangles.

Answers

The  increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from  y = ± x.

What is a Hyperbola?

This is defined as a two-branched open curve formed by the intersection of a plane perpendicular to the bases of a double cone.

The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.

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If I get 10 dollars a week how much money will I have saved up in 9-years I WILL GIVE 55 POINTS

Answers

Answer:

$4,680

Step-by-step explanation:

Rate : 10 dollars a week

Per year : 10 x 52 = $5209 x 520 = $4,680

You will have saved up $4,680 in 9 years.

Complete the function table

Answers

Answer:

-3. -5

-2. -4

-1. -3

0. -2

1. -1

formula is f(x)=x-2

(SHOW THE SOLUTION) ​

Answers

Step-by-step explanation:

so, you did not pay attention to even the simplest of facts in the class ?

the radius is always half of the diameter, or (in other words), the diameter is always twice the radius.

that is really all there is to this.

please tell me you need actual help to divide something by 2 ?

you need me to be your calculator ? posting the questing and then typing the results in from here is more effort than just to use your own calculator.

1. 12.6/2 = 6.3 cm

2. 31.08/2 = 15.54 ft

3. (10 7/11)/2 = (110/11 + 7/11)/2 = 117/11 / 2 =

= 117/22 = 5 7/22 cm

(you noticed something ?)

4. sqrt(54)/2 = sqrt (54/4) = sqrt(27/2) = sqrt(13.5) =

= 3.674234614... m

5. 10.125/2 = (10 1/8)/2 = 5 1/16 = 5.0625 in

(see again under 3.)

Please belpppp don’t understand

Answers

Answer:

[tex]3w^2\sqrt[4]{2w^3}[/tex]

Step-by-step explanation:

hope this helps!:)

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Is the relationship between the step number and number of squares a quadratic function.

Analyze

Step 1 = 2 squares

Step 2 = 6 squares

Step 3 = 12 squares

2, 6, 12

 4   6

    2

To build a quadratic function

ax² + bx + c

2a = 2 ⇒ a = 1

3a + b = 4 ⇒ 3(1) + b =4 ⇒ b = 1

a + b + c = 2 ⇒ 1 + 1 + c = 2 ⇒ c = 0

Equation: x² + x

Hence, Yes it is a quadratic function.

Answer:

It is quadratic with nth term = n^2 + n.

Step-by-step explanation:

Number of squares in each term = 2, 6 and 12

Differences between these  are   4 and 6

6 - 4 = 2

This is an indication of a quadratic function  with n^2 the first term.

Value of n^2 for first 3 terms

=                    1     4     9    and the terms are:

                     2     6    12

Differences   1     2       3    

This last term  = n

So the quadratic function for this sequence is

n^2 + n.

12 + 5 + 32 × 10 − 5 =
(12 + 5) + 32 × (10 − 5) =

Answers

Exercise number 1.12 + 5 + 32 × 10 − 5

Add 12 and 5 to get 17.

17 + 32 × 10 − 5

Multiply 32 and 10 to get 320.

17 + 320 − 5

Add 17 and 320 to get 337.

337−5

Subtract 5 from 337 to get 332.

332 ===> Answer

Exercise number 2.(12 + 5) + 32 × (10 − 5)

Add 12 and 5 to get 17

17 + 32 (10 − 5)

Subtract 5 from 10 to get 5.

17 + 32 × 5

Multiply 32 and 5 to get 160.

17+160

Add 17 and 160 to get 177.

177 ===> Answer

Other Questions
will give brainliest69 + 420 / 3 = ? Which detail best supports the writers idea that "statesmanship is not an abstract skill, but a contextual one"? adapted from lincoln the great by wilfred w. mcclay which brings us to the question of lincolns halfway measures, whose fuller context we need to remember. he rose to prominence as a politician who was antislavery but also anti-abolitionist. the strategy he preferred would have contained the spread of slavery, then gradually eliminated itas opposed to overturning the institution in one grand liberatory1 gesture. such a position perhaps seems incoherent now, and it [lincolns strategy] failed in the end, since the south concluded that it could not trust president lincoln, who received not a single electoral vote from the south, to protect its "peculiar institution." but it was a position predicated on lincolns belief that the maintenance of the union was the key to all other political goods. we find it harder to swallow lincolns frank disbelief in racial equality and his support for african colonization schemes. that such positions were common, even mildly progressive, in his day does not count for much with us. but what should count for us is the fact that, in the maelstrom of war, lincoln overcame his disinclinations2 to see that the union could only be preserved if it sought to achieve something greater than its own survival. statesmanship is not an abstract skill, but a contextual one, highly specific to the circumstances it finds. it is irresistible to wonder what kind of leader lincoln would have been had there been no secession attempt after his election, or had he lived to be a postwar president. that the question is almost impossible to answer intelligently, though, tells us a great deal. lincoln was above all a war president. like it or not, that condition of history defined him. he was not elected to be such a president. he might have been no more effective in peacetime than andrew johnson was. and he might well have found out, as winston churchill or george h. w. bush later did, tha Write out one sentence that properly uses each of the following terms: TyrannyAssentRectitudeUnalienableConstrainsAcquiesce Definition of group in science. A factory produces a batch of toy vehicles, 1/3 of which are cars and the rest are trucks. trucks have defective ratio of 0.02 and cars have defective ratio of 0.01. the quality inspector picks a toy vehicle at random from the batch and finds out that it is defective. what is the probability that the vehicle was a truck show that she wants more from life. She says, "If I don't go. I will always bestuck here. It will be the same back-breaking work, day in, day out...There must be more to life than this." She wants to change her life and decidesto leave for the city without her sister Linda.Imagine you are Aisha. Write TWO diary entries about your feelings and expectationsThe first entry must indicate how you felt before you left for the city, and the secondone must express how you felt after you left your home.Your response should be 80-100 words in length.TOTAL: 20 find the value of x in the given figure According to the text, teens can experience depression and low self-esteem when: A. they do not have parental permission to access social media B. they spend too much time comparing themselves to other teens C. they are regularly exposed to sad and negative posts by their friends D. they do not have family members who are interested in using social media Christine's parents gave her $70 to spend at the Topsfield Fair. She spent $10 on flowers and needs to buy vases. Each antique flower vase at the fair costs $3. Which represents the number of antique flower vases Christine can buy? Ms. Wall will roll a dice. 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Where you able to give words or phrases associated to grammatical signals Qu continentes estabanconectados por losCaminos de la Seda? Let A = {1, 2, 3} and R be the following relation on A; R = {(1, 1), (1, 2), (1, 3), (3, 1), (2, 3)} What is the significance and structure of a stupa? Choose the best answer: which of the following is a true statement One worker takes 20 hours to do a job. A second worker can do the same job in 15 hours. When a third worker is added, it takes the three of them 6 hours to do the job. How long would it take the third worker to do the job