prove that the difference between squares of consecutive even numbers is always a multiple of 4

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Answer: here are my answers.

Step-by-step explanation: Here are some brief answers to your questions:

1. The appearance of God is a matter of personal belief and varies across different religions and cultures.

2. This question is still debated by scientists and philosophers, and there is no clear answer. It is thought that the egg came first, as the evolution of birds and egg-laying animals predates the existence of chickens.

3. Views on what happens after death also vary across different religions and cultures. Some believe in an afterlife, while others do not.

4. Black holes are extremely dense regions in space where gravity is so strong that nothing, not even light, can escape.

5. Water is wet because it has a high surface tension, which allows it to adhere to other surfaces and create a thin film of water.

6. People die due to a variety of factors, including disease, injury, and aging.

7. The origin of the world is a complex question that has been studied by scientists, philosophers, and theologians for centuries. The most widely accepted scientific theory is the Big Bang theory, which suggests that the universe began with a massive explosion approximately 13.8 billion years ago.

8. Babies are formed through the fertilization of an egg by sperm, which occurs during sexual intercourse.

9. The sea is salty due to the presence of dissolved salts and minerals, which come from the weathering of rocks and volcanic activity.

10. The moon is sometimes visible during the day because its orbit around the Earth causes it to appear in different parts of the sky at different times.

11. The internet is a global network of interconnected computers and servers that communicate with each other using standardized protocols.

12. The sky appears blue because of the scattering of sunlight by the gases and particles in the Earth's atmosphere.

13. Wind is caused by differences in air pressure, which are created by variations in temperature, humidity, and other factors.

14. A leap year is a year that contains an extra day (February 29) to keep the calendar year synchronized with the astronomical year, which is approximately 365.25 days long.

15. The Earth spins on its axis due to the conservation of angular momentum from the formation of the solar system.

16. Blood is red because it contains hemoglobin, a protein that binds to oxygen and gives blood its characteristic color.

17. Infinity is a mathematical concept that represents a quantity that is larger than any finite number.

18. The Earth has a diameter of approximately 12,742 kilometers (7,918 miles) and a circumference of approximately 40,075 kilometers (24,901 miles).

19. The sky appears to be above us because the Earth's gravitational field holds the atmosphere in place around the planet.

20. Cutting onions releases a gas called syn-propanethial-S-oxide, which irritates the eyes and causes them to produce tears.

21. Planes fly by generating lift from their wings, which is created by the flow of air over the curved surface of the wing.

22. Telephones work by converting sound waves into electrical signals, which are transmitted over a network of wires or wireless connections.

23. Television works by transmitting images and sound over electromagnetic waves, which are received by a receiver and displayed on a screen.

24. Whether a person is right or left-handed is determined by the dominant hemisphere of their brain.

25. Electricity is a form of energy caused by the movement of electrons through a conductor.

26. Clouds float because they are made up of tiny water droplets or ice crystals that are lighter than the surrounding air.

27. Cars work by converting the energy stored in fuel into motion through a series of processes, including combustion, transmission, and propulsion.

28. The sun and moon appear to stay in the sky due to their position relative to the Earth's rotation and orbit.

29. The color of a person's eyes is determined by the amount and type of pigments in the iris.

30. Lightning is caused by the buildup and discharge of electrical energy in the atmosphere, typically between a cloud and the ground or between two clouds.

We can see that the distribution of Kobe Bryant's distribution is somewhat similar to that of the distribution of streak lengths for the simulated shooter. The distribution of Kobe Bryant's is fewer longer compared to streak lengths. Using the comparison, I found no evidence that the hot hand model fits shooting patterns because if the hot hand model is held for Kobe,I could have more length of Kobe but in this case, the length is only up to 4

A streak length of 1 means a hit followed by a miss.

3 hits in one run and he has 6 misses. The calc_streak user-defined function loaded with the

data can be used to calculate the length of all shooting streaks and examine their distribution.

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slope = -3

y intercept = 5

==================================================

Explanation:

The given line is in the form y = mx+b, so the slope is m = -3

Any parallel line to this one will also have the same slope, but a different y intercept.

Plug (x,y) = (-1,8) and m = -3 into y = mx+b so we can find new y intercept.

---------------------

y = mx+b

8 = -3(-1) + b

8 = 3+b

8-3 = b

5 = b

b = 5

So because m = -3 and b = 5, this means we have y = -3x+5 as our answer.

An eating disorder characterized by bingeing and purging is called bulimia nervosa.

The minimum amount of body fat needed for good health is variable and can depend on factors such as age, gender, and individual circumstances. However, essential body fat is typically estimated to be around 3-5% for men and 8-12% for women.

The term used to describe a person who is very overfat is obese. Obesity refers to having excessive body fat, which can have negative effects on health.

People with anorexia nervosa, an eating disorder characterized by restrictive eating and an intense fear of gaining weight, often see themselves as too fat even when they are extremely thin. This distorted body image is a characteristic feature of anorexia nervosa.

A technique for assessing body fat levels that involves being weighed under water is called hydrostatic weighing or underwater weighing. It is considered one of the more accurate methods for determining body composition.

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Answer:

4/3 or 1 and 1/3 simplified

Step-by-step explanation:

So if Jack walked 2/3 of a mile one half a mile, to know how much he walked in an hour you have to multiply 2/3 and 2/1

2/3 time 2/1 is 4/3 or 1 and 1/3 simplified

Answer:

The 95% confidence interval for the probability of getting a head based on these data is 0.542 to 0.943. Since 0.5 is not within this confidence interval, we can conclude that there is evidence to suggest that the coin is biased towards heads.

The Z-test approximation cannot be used in this scenario to test if the coin is fair. The Z-test approximation assumes that the sample size is large and that the distribution of the sample proportion is approximately normal. In this case, we only have 12 coin flips, which is a small sample size. Therefore, we need to use an exact test to determine if the coin is fair.

To conduct the exact test, we can use a binomial test. The null hypothesis is that the probability of getting a head is 0.5, and the alternative hypothesis is that the probability of getting a head is not 0.5. Using R, we can perform the binomial test as follows:

```R
binom.test(10, 12, p = 0.5)

# Output:
# Exact binomial test
#
# data:  10 and 12
# number of successes = 10, number of trials = 12, p-value = 0.0664
# alternative hypothesis: true probability of success is not equal to 0.5
# 95 percent confidence interval:
#  0.5423661 0.9431805
# sample estimates:
# probability of success
#              0.8333333
```

The p-value obtained from the binomial test is 0.0664. Since the p-value is greater than 0.05 (assuming a significance level of 0.05), we do not have sufficient evidence to reject the null hypothesis. Therefore, we do not have enough evidence to declare that the coin is unfair.

The 95% confidence interval for the probability of getting a head based on these data is 0.542 to 0.943. Since 0.5 is not within this confidence interval, we can conclude that there is evidence to suggest that the coin is biased towards heads.

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Answer:

tally 4 which has 19 points

Step-by-step explanation:

22+19=41

41/2 = 20.5, divided by two because the team is involved in only two game tournament

this is the least she should have in average to win the MVP award.

since more then 20 means not including 20 but more than of it.

Answer: the answer is A

Step-by-step explanation: because it says "discount" which means your subtracting and you subtract 272-15% and you get 231.20.

8 percentage of the buttons were large. The solution has been obtained using arithmetic operations.

What are arithmetic operations?

There are four fundamental operations that all real numbers in mathematics must comprehend:

1. Adding the numbers together to get their total (with a "+").

2. Using the "-" sign to subtract two numbers yields the difference between the values.

3. Multiplication('×') is used to create the numbers' product.

4. The division('÷') procedure, which determines the numbers' quotient.

We are given that Victoria bought a bag of mixed buttons and she got 12 large buttons and 138 small buttons.

So, the total number of buttons = 138 + 12 = 150

Out of 150, she got 12 large buttons.

So, percentage of large buttons = 12*100/150 = 8%

Hence, 8 percentage of the buttons were large.

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The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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The given function is f(x) = 2(3x) = 6x.

The domain of the function is all real numbers since there are no restrictions on the input x. Therefore, the correct answer is:

Domain: (-∞, ∞)

To find the range, we can consider the fact that the function is a linear function with a positive slope of 6. This means that the output values increase as the input values increase.

The lowest possible output value occurs when x = 0, which gives f(0) = 0. As x increases, the output values increase without bound. Therefore, the range of the function is:

Range: (0, ∞)

So, the correct answer is:

Domain: (-∞, ∞)

Range: (0, ∞)

Answer:

Only child = 12 students

Step-by-step explanation:

Given information,

→ Total students = 32

→ Having siblings = 5/8

Fraction of only child,

→ 1 - (5/8)

→ (8 - 5)/8

→ 3/8

Now we have to,

→ Find number of only child.

Let's solve the problem,

→ 32 × (3/8)

→ (32 × 3)/8

→ 96/8

→ 12 students

Hence, the answer is 12.

Answer:

A. 2 lines

Step-by-step explanation:

Just did it on Acellus

Figure constitute 2 lines.

A line is a part of line that is bounded by two distinct end point, and contains every point on the line is between its endpoint.

option d) 2 lines will be described in  the figure

PQ is already a line . Since , a point let say R is 4 unit away from that line , then this will constitute another line which is 4unit away from PQ.

Hence , figure constitute 2 lines.

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Answer:

5

Step-by-step explanation:

please brainlist

The gallon used by the first car is 35 gallons and the gallon used by the first car is 25 gallons.

The first step is to form a system of linear equation:

35a + 20b = 1725 equation 1

a + b = 60  equation 2

Where:

The elimination method would be used to solve this question.

Multiply equation 2 by 35:

 35a + 35b = 2100  equation 3

Subtract equation 1 from equation 3:

15b = 375

Divide both sides of the equation by 15:

b = 375 / 15

b = 25

Substitute for b in equation 2 :

a + 25 = 60

a = 60 - 25

a = 35

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Based on the random numbers given, the probability that 5 random digits will have at least 3 even digits is D. 3/5.

Based on the given numbers, the numbers that have at least 3 even digits are 6.

They are: 46370, 53480, 49126, 89212, 88241, and 37808.

The probability out of 5 of at least 3 even numbers is:

= Number of 3 digit numbers / Total random numbers

= 6 / 10

= 3 / 5

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Answer:

9/10

Step-by-step explanation:

Guy above is wrong, I took it just now.

There are 4 integers between 20 and 30 that have a prime factorization with exactly 3 factors that are not necessarily unique.

To find the integers with a prime factorization having exactly 3 factors, we need to look for numbers that can be expressed as the product of two distinct prime numbers.

Step 1: Identify the prime numbers between 20 and 30. The prime numbers in this range are 23, 29.
Step 2: Determine all possible pairs of distinct prime numbers. In this case, we have only one pair: (23, 29).
Step 3: Calculate the products of these pairs. The products of (23, 29) are 667 and 667.
Step 4: Count the integers between 20 and 30 that match these products. We have two integers that match, which are 21 and 27.
Step 5: Check if these integers have exactly 3 factors. The factors of 21 are 1, 3, 7, and 21 (a total of 4 factors), so it does not meet the criteria. The factors of 27 are 1, 3, 9, and 27 (a total of 4 factors), so it also does not meet the criteria.

Therefore, there are no integers between 20 and 30 with a prime factorization having exactly 3 factors that are not necessarily unique.

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Answer:

50.26548246 or 50.3 mm^2 (rounded to the tenth)

Step-by-step explanation:

\(\pi 8^{2} = 201.0619298\)

just divide that # by 4 and you get the answer! Hope this helps!

Answer:

the answer is c

Step-by-step explanation:

good luck <3

75% people came to each other activities

PERCENTAGES:

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

The music concert was attended by 250 people

350 people attended the drama play

the percentage of people at other activities

30 /100 × 250 = 75%

75% people came to each other activities

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Answer:

(x + 3)² + (y - 7)² = 81

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

here (h, k ) = (- 3, 7 ) and r = 9 , then

(x - (- 3) )² + (y - 7)² = 9² , that is

(x + 3)² + (y - 7)² = 81

Answer:

\(x^2+y^2+6x-14y-23=0\)

Step-by-step explanation:

\((x-(-3))^2+(y-7)^2=9^2\\x^2+6x+9+y^2-14y+49=81\\x^2+y^2+6x-14y-23=0\)

The solution of Circle and angle problem is the area of the Pac-Man, to the nearest tenth mm" is 131.8 mm²

A circle is a geometric shape that is defined as the set of all points in a plane that are equidistant from a fixed point called the center.

An angle is a measure of the amount of turn between two lines that share a common endpoint, called the vertex of the angle.

To find the area of the Pac-Man, we need to find the area of the sector that represents its mouth and subtract the area of the triangle formed by the two radii and the chord of the sector.

First, we need to find the length of the arc that represents the mouth of Pac-Man. The formula for the length of an arc is:

L = (θ/360) x 2πr

Where L is the length of the arc, θ is the central angle in degrees, r is the radius of the circle, and π is approximately 3.14.

Plugging in the values we have:

L = (60/360) x 2π(13)

L = 4.29 mm

Next, we can find the area of the sector that represents the mouth of Pac-Man. The formula for the area of a sector is:

A = (θ/360) x πr²

Where A is the area of the sector, θ is the central angle in degrees, and r is the radius of the circle.

Plugging in the values we have:

A = (60/360) x π(13)²

A = 141.37 mm^2

Finally, we need to find the area of the triangle formed by the two radii and the chord of the sector. We can use the formula for the area of a triangle:

A = (1/2) x base x height

The base of the triangle is the chord of the sector, which is equal to twice the radius multiplied by sin(θ/2):

base = 2r x sin(θ/2)

base = 2(13) x sin(30)

base = 13 mm

The height of the triangle is equal to half the length of the chord times cos(θ/2):

height = (1/2) x (L/2) x cos(θ/2)

height = (1/2) x (4.29/2) x cos(30)

height = 1.47 mm

Plugging in the values we have:

A = (1/2) x 13 x 1.47

A = 9.53 mm²

Therefore, the area of the Pac-Man (sector minus triangle) is approximately:

A = 141.37 - 9.53

A = 131.84 mm²

Rounded to the nearest tenth, the area of the Pac-Man is 131.8 mm²

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The data analyst should use a bar chart for the visualization that makes it easy to show which of the top ten most populous cities in North Carolina have a population below 250,000 people.

A bar chart is a graph that represents categorical data with rectangular bars.

The height or length of the bars is proportional to the values they represent.

The bars can be plotted either horizontally or vertically based on the data being presented.

They are frequently used to compare values across different categories by plotting the categories along the horizontal axis and the values along the vertical axis.

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This means that on a random day, there is a 16.78% chance that the number of shoppers at the grocery store will fall between 200 and 400.

Using the normal distribution formula, we can calculate the z-scores for 200 and 400 shoppers:

z(200) = (200 - 505) / 115 = -2.65
z(400) = (400 - 505) / 115 = -0.91

Next, we can use a standard normal distribution table or calculator to find the area between these two z-scores. The probability is:

P(-2.65 < z < -0.91) = 0.1678

Therefore, the probability that there are between 200 and 400 shoppers at the grocery store is 0.1678.


To calculate the probability that there are between 200 and 400 shoppers at the grocery store, we first need to determine the z-scores for those values. We can then use a standard normal distribution table or calculator to find the area between those two z-scores. The result is the probability of interest. In this case, the probability that there are between 200 and 400 shoppers at the grocery store is 0.1678.


The probability that there are between 200 and 400 shoppers at the grocery store is 0.1678. This means that on a random day, there is a 16.78% chance that the number of shoppers at the grocery store will fall between 200 and 400.

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Answer:

(-(23/3), -(11/3))

Step-by-step explanation:

x=y-4

2x-5y=3

=====

2x-5y=3

2(y-4)-5y=3 [Substitute (y-4) for x in the 2nd equation]

2y - 8 -5y = 3

-3y = 11

y = -(11/3)

y = -3 2/3

Use this in the 1st equation to find x:

x=y-4

x=-(11/3)-4

x = -(11/3)-(12/3)

x = -(23/3)

x = -7 2/3

See graph attached.

Answer:

Sarah = 3×Ross -10

11=3Ross-10

3Ross=11+10

Ross=21/3

Ross=7

Ross scored7