If y = x and y = 4, then what is (x + y)² ? A. 0 B. 16 C. 25 D. 64​

Given statement solution is :-

1) Gather your electricity bills from the period before the summer break.

2) Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

3) Research or locate the power consumption information for each appliance.

4) Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

5) After the summer break, collect your electricity bill for the corresponding period.

6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:

Examine your electricity bills of pre-summer break:

Gather your electricity bills from the period before the summer break.

Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.

List the various electrical appliances used in your home:

Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

Find out the power consumption and duration for each device in use:

Research or locate the power consumption information for each appliance.

This information is typically provided on the appliance itself or in the user manual.

Note down the power rating of each device in watts (W) or kilowatts (kW).

Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).

Calculate the estimated electricity consumption and cost:

Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).

Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.

Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.

Sum up the estimated costs for all appliances to get the total estimated electricity bill.

Make an energy reduction plan and determine implementation:

Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

Unplugging devices when not in use.

Determine the feasibility of implementing these energy reduction measures in your home.

Re-examine your electricity bill of post-summer break:

After the summer break, collect your electricity bill for the corresponding period.

Calculate the actual energy consumption and cost using the same method as in step 4.

Compare the actual post-summer break bill with the estimated pre-summer break bill.

Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.

Document your reduction plan and changes in the bill:

Write a report summarizing your findings and observations.

Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.

For such more questions on Sustainable Energy Bill Study

https://brainly.com/question/3159537

#SPJ8

Answer:

We've already evaluated expressions with two variables. Now it's time to ... Problem 1 in practice is: (3/2)y-3+(5/3)z given the values of y=4 and z=3. Substitute ... 6-3+5 = 3+5 = 8 ... When I try to divide 3 into 2, i get 0.666... and so on. Thanks!

Step-by-step explanation:

Hope this helps

Answer:

f(6) = 51

Step-by-step explanation:

f(x)= x² + 3x - x/2

In order to find f(6) ,we need to substitute

x by 6 in the expression of f :

f(6) = (6)² + 3(6) - (6)/2

    = 36 + 18 - 3

    = 54 - 3

    = 51

Then

f(6) = 51

Answer:

f(6) = 51

Step-by-step explanation:

Simplify:

  Substitute the value of x

\(\sf f(x) =x^2 + 3x -\dfrac{x}{2}\\\\f(6)=6^2 + 3*6 -\dfrac{6}{2}\\\\\)

        = 36 + 18 - 3

        =  51

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

For similar questions on athletes

https://brainly.com/question/25631156

#SPJ11

Answer:

This is an example of systematic sampling, which is a valid sampling method if the ordering of the individuals in the population does not affect the results. However, it may not be a representative sample if there is any pattern or bias in the order of the individuals.

Using the given information, we can estimate the proportion of people who have used their price plus card as:

38/50 = 0.76

Therefore, we can expect that approximately 0.76 of the 800 people in the store would be using their price plus card:

0.76 x 800 = 608 people.

Answer:

Yes

608 people

Step-by-step explanation:

800 × 38 =30400

30400 ÷ 50 =608

The correct statement regarding each transformation is given as follows:

The four most common transformations are listed as follows:

The dilation is the only transformation that does not preserve the distance.

Hence the transformations are classified as follows:

More can be learned about transformations at https://brainly.com/question/29209050

#SPJ1

A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.

In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.

Counting these numbers, we find that there are 17 students who obtained more than 45 marks.

b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.

In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.

Counting these numbers, we find that there are 15 students who obtained less than 45 marks.

c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.

In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.

Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.

d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.

Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45

           = 1912

Total number of students = 40

Average marks = Total marks / Total number of students

                 = 1912 / 40

                 = 47.8

Therefore, the average marks obtained by the students in the class is 47.8.

e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.

In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,

49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.

Counting these numbers, we find that there are 40 students who obtained more than the average marks.

Answer: r8

Step-by-step explanation:

The square root of r⁶⁴ is r³².

Here, we have,

The square root of a number r⁶⁴ can be found by taking the square root of the base (r) and dividing the exponent (64) by 2.

Square root of r⁶⁴:

√(r⁶⁴)

Since the exponent is even (64), we can divide it by 2:

√(r⁶⁴⁻²)

√(r³²)

Therefore, the square root of r⁶⁴ is r³².

To learn more on square root click:

brainly.com/question/29286039

#SPJ6

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

To more on ratio:
https://brainly.com/question/12024093
#SPJ8

Answer:

$38.89.

Step-by-step explanation:

In this problem we have a quadratic equation, which, as you may already know, consists on a curve that has a maximum or minimum value, depending whether the x^2 value has a positive of negative sign before it.

In this case, the equation has a negative sign, which indicates that his function has a maximum point, which is the same point we are looking for in order to get the price widgets should be sold for, for the company to make the maximum profit. Now that we know that, let's go ahead and find the maximum value of the function. I'm gonna solve this on a digital board and attatch the images to this answer.

If you don't feel familiar with the process of taking derivatives, I suggest you watch some videos of explanations of this topic. Also, you can use Ron Larsson's Calculus books to practice derivation. Good luck!

Answer:

300ft^2

Step-by-step explanation:

Total surface area = Area of base + (1/2) x perimeter of base x slant height

Area of base = length² = 10 x 10 = 100

Perimeter of base = 2 ( length + breadth)

2 x 20 = 40

slant height = 10

100 + (1/2) x 40 x 10 = 300 ft^2

Answer:

2(x + 1)(2x + 1)

Step-by-step explanation:

\(y = 2(2x^2 + 3x + 1)\)

Factor the trinomial in parentheses.

Since a - b + c = 0, use shortcut. One real root is -1 and the factor is (x + 1). The other root is: \(\frac{-c}{a}= -1/2\)

and the factor is \((x+\frac{1}{2})\)

Factor form of y:

y = 2(x + 1)(2x + 1)

Answer:

  (2x +1)(2x +2)

Step-by-step explanation:

One factor is the sum of the tiles across the top of the figure: x+x+1 = 2x+1.

The other factor is the sum of the tiles down the left side of the figure: x+x+1+1 = 2x+2.

__

The factorization shown by the tiles is ...

  4x^2 +6x +2 = (2x +1)(2x +2)

Answer:

  (d)  see attached

Step-by-step explanation:

A linear function has equally-spaced outputs for equally-spaced inputs. The given tables all have sequential values for x, so we can find the linear function by looking at the differences of y-values.

  a) 2 -1 ≠ 4 - 2 . . . . not linear (exponential)

  b) 1 -0 ≠ 3 -1 . . . . not linear (quadratic)

  c) 1 - 0 ≠ 0 - 1 . . . . not linear

  d) 3 -1 = 5 -3 = 7 -5 . . . . a linear function

Letter D. A linear function.

Step-by-step explanation:

# Brainliest Bunch

Answer:

1 perpendicular

Step-by-step explanation:

it's the only way for them to be equal

Answer:

x=90-73=17

Step-by-step explanation:

Answer:

I think it might be 17... sorry if u get ir wrong

Answer:

your answer to the lowest terms

The probability of rolling a sum of 6 with these dice is 1/12.

5 - x² < 4

- x² < 4 - 5

- x² < - 1

=》x² < 1

Now, let's check with x = 1

x² < 1

(1)² < 1

1 < 1

1 is not less than or greater than 1. They are equals. So, the inequality 5 - x² < 4 is NOT true for x = 1.

_____

Hope it helps ⚜

Using a discrete distribution, we have that:

a) The expected value is of $250 per policy sold.

b) The expected profit for 10,000 policies is of $2,500,000.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Considering that an insurance profit sells for $600, the distribution of the company's earnings is given as follows:

Hence the expected value for a policy sold is given by:

E(X) = 600(0.965) - 4400(0.02) -9400(0.01) - 29400(0.005) = 250.

For 10,000 policies, the expected profit is given by:

E = 10000 x 250 = 2,500,000.

More can be learned about discrete distributions at https://brainly.com/question/24802582

#SPJ1

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

Learn more about averages at:

https://brainly.com/question/20118982

#SPJ1

Answer:

it looks like the answer is the second one and makes more sense

The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.

Hence, Option (B) is correct.

Since, We know that,

A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.

The opposite angles of a cyclic quadrilateral have a total of 180°.

Hence, We can formulate;

m ∠ABC +  m ∠ADC  = 180°

m ∠ABC + 94° = 180°

m ∠ABC = 180° - 94°

m ∠ABC = 86°

Similarly, one can find m∠DCB

m∠DAB +  m∠DCB  = 180°

99° + m∠DCB = 180°

m∠DCB = 180° - 99°

m∠DCB = 81°

Hence, m∠ABC = 86°

Learn more about cyclic quadrilaterals here:

brainly.com/question/14352697

#SPJ1

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.