pattern of a square whose each side is 'n' cm is _____​

The proof is given as follows:

The transitive property argues that "if two quantities are equal to the third quantity, then we may claim that all the quantities are equal to one other".

The term transitive refers to a transfer. If there are three quantities a, b, and c, and if an is connected to b by some rule and b is related to c by the same method, then a and c are related to each other by the same rule; this property is known as the transitive property of equality.

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Answer:

A. a = -3, b = 2

Step-by-step explanation:

I calculated it logically

Answer:

0.156

Step-by-step explanation:

P(A & B) = P(A) * P(B)

P(Yankess score less than 5 and lose) = P(score less than 5) * P(lose)

0.39 * 0.4 = 0.156

Answer:

75.8 is your answer

Step-by-step explanation:

119:157*100 =

(119*100):157 =

11900:157 = 75.8

Answer:

187.301 is 157% of 119.3

Step-by-step explanation:

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

41 and 11.

Step-by-step explanation:

Let's say the 2 numbers are x and y.

Since they add up to 52, x + y = 52.

Seeing as the difference is 30, x - y = 30 assuming x is the larger number.

We have left:

x + y = 52

x - y = 30

By solving these simultaneous equations (adding the 2 equations together for instance), we are left with 2x = 82

Therefore x = 41.

Since x + y = 52

41 + y = 52

Therefore y = 11

Therefore we have: the larger number is 41 and the smaller number is 11.

Answer:

(0, 1)

Step-by-step explanation:

To find the solution to these 2 functions, we just set up an equation where they're equal to each other:

3x+2 = |x-1|+1

Then, isolate the absolute value:

3x+1 = |x-1|

Now, to get rid of the absolute value sign, we can set the right-hand side to be the positive or negative version of itself.

First, let's set it to the negative version of itself:

3x+1 = -x+1

4x = 0

x = 0

Then, let's set it to the positive version of itself:

3x+1 = x-1

2x = -2

x = -2

We can now plug the x as 0 and -2 into any of the 2 equations above to find the solution for y:

3(0)+1 = 1, so the first solution will be (0, 1)

3(-2)+2 = -4.

You might be tempted to say that -4 is the y value for the 2nd solution, but notice that |x-1| will never be less than 0, so that would not work. Therefore, x = -2 isn't a solution either, which means it's an extraneous solution.

In conclusion, the solution to these equations is (0, 2).

By finding the point where the graphs intercept, we will see that the solution of the system of equations is the point (0, 2).

The solutions of a system of equations are the points where the graphs of the different equations intercept when graphed.

Below you can see the graph of the system:

There you can see that we have only one intersection point at x = 0, y = 2, then we can conclude that our system has only one solution, and the solution is the point (0, 2).

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The boat and the whale are about 218.5 miles apart.

Using the Pythagorean theorem to calculate the distance between the boat and the whale.

Let's call the distance between the boat and the whale "d" and the time they moved apart "t".

1st movement:

d = 45t

2nd movement:

d = (45t + 25(t+35))²

To calculate the final distance, we need to square d from the second movement and add the result from the first movement.

d² = (45t)² + (25(t+35))²

We know that the boat and the whale were moving apart for 35 minutes and 25 minutes, so we can substitute t = 35 and t = 25 in the equation.

d² = (4535)² + (2560)²

Taking the square root of the result and get the final distance between the boat and the whale.

d =  (\(\sqrt{4535 ^{2} +2560^{2} }\))

d ≈ 218.5 miles

Hence, the boat and the whale are about 218.5 miles apart.

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Answer:

42

Step-by-step explanation:

4x2x6=48

48-6=42

Answer:

42

Step-by-step explanation

8 - 1 * 6 = 42

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer:

B-2

Step-by-step explanation:

To find the constant of dilation take the lead of EF and divide it by the length of AB to get (6/3)=2

Answer:

D. Bimodal

Explanation:

The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is

D. Bimodal.

Answer:

35

Step-by-step explanation:

Substitute  (-2) in place of x

f(x) = 7(3-(-2)) = 7(3+2) = 7 (5) = 7 * 5 =35

3x-x+2=4 is the answer <3

Answer:

Amish driving buggies and using horses and mules instead of tractors

Step-by-step explanation:

Answer:

64° and 26°?

Step-by-step explanation:

I just subtracted 64 from 90. Hope that helps

Answer:

Step-by-step explanation:

Point: 10,-9

k=-2

y=-2x+b

So: 9, -7

8,-5

7,-3

6,-1

5,1

4,3

3,5

2,7

1,9

0,11

y=-2x+11

Answer:

y + 9 = - 2(x - 10)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 2 and (a, b ) = (10, - 9 ) , then

y - (- 9) = - 2(x - 10) , that is

y + 9 = - 2(x - 10)

Factor \(x^2-81\) by using the difference of two squares.

\(x^2-y^2=(x+y)(x-y)\)

Our x is x

Our y is 9 (As y² = 81, therefore a single y would be 9)

\((x+9)(x-9)\)

Thus, the final answer is (x+9)(x-9)

Answer:

If Mrs. Chua wants to buy 25 cupcakes, she can take advantage of the "buy 2 and get 1 free" offer.

This means that for every 3 cupcakes, she only pays the price of 2 cupcakes.

So, the total number of cupcake sets that she needs to buy is 25 divided by 3, which gives 8 with a remainder of 1.

Therefore, she needs to pay for 8 sets of cupcakes, and she will get 2 cupcakes for free since she gets 1 free cupcake for every 2 cupcakes.

So the total number of cupcakes she paid for is 8 x 2 + 2 = 18.

The cost of one cupcake is $m, so the total cost of 18 cupcakes is 18 x $m = $18m.

Therefore, Mrs. Chua paid $18m for 25 cupcakes.

If Mrs Chua wants to buy 25 cupcakes, we can take advantage of the "Buy 2 and Get 1 Free" promotion and divide the cupcakes into groups of 3. For every 3 cupcakes that she buys, she only pays for 2, which means she gets 1 cupcake for free. This means that for every group of 3 cupcakes, she only pays for 2 cupcakes, or $\frac{2}{3}$ of the total price.

Let's first find out how many groups of 3 cupcakes she needs to buy in order to get 25 cupcakes. We can divide 25 by 3 to get:

\(\begin{align}\frac{25}{3} &= 8 \frac{1}{3}

\end{align}\)

This means that she needs to buy 8 groups of 3 cupcakes and 1 extra cupcake.

To minimize the amount of money that Mrs Chua spends, we want to take advantage of the "Buy 2 and Get 1 Free" promotion as much as possible. So we want to make sure that we only pay full price for the last cupcake.

Therefore, Mrs Chua should buy 8 groups of 3 cupcakes (i.e., 24 cupcakes) and then pay full price for the last cupcake. This means that she pays for 16 cupcakes, but gets 8 cupcakes for free (because of the "Buy 2 and Get 1 Free" promotion).

So the total cost for the 25 cupcakes is:

\(\begin{align}\text{Total cost} &= \text{Cost of 16 cupcakes} + \text{Cost of 1 cupcake}\ &= \left(\frac{2}{3} \times 16\right)m + 1m\ &= \frac{32}{3}m + 1m\ &= \frac{35}{3}m\end{align}\)

Therefore, Mrs Chua pays $\frac{35}{3}m$ to buy 25 cupcakes using the "Buy 2 and Get 1 Free" promotion.

Answer:

The market equilibrium price is $160 and market equilibrium quantity is 1600

Step-by-step explanation:

A linear function is of the form y = m * x + b, where m is the slope and b is called the intercept.

The shape of a demand and supply curve will be: Q = m * P + b

The point-slope form of the linear function is written as y- y1 = m * (x- x1) where (x, y) and (x1, y1) are the coordinates of the point. In this case: Q- Q1 = m * (P- P1)

A retail chain buys 1000 wireless speakers if the price is $ 190 and 2,600 if the price is $ 110. Then (P, Q) = (190,1000) and (P1, Q1) = (110, 2600). Replacing in the point-slope form:

1000 - 2600= m*(190 - 110)

and solving for m you get:

-1600=m*80

\(m=\frac{-1600}{80}\)

m= -20

To find the value of b from the demand curve Q = m * P + b, you plug in the value of m and either of the two points into the equation and solve for b. So:

Q= -20*P + b

Replacing (P, Q) = (190,1000)

1000= -20*190 + b

1000= -3800 + b

1000 + 3800= b

4800= b

The demand function is Q= -20*P + 4800

In an analogous way, the supply function can be deduced. A wholesaler will supply 800 wireless speakers at $128 each and 2400 at $192. Then (P, Q) = (128,800) and (P1, Q1) = (192, 2400). Replacing in the point-slope form:

800 - 2400= m*(128 - 192)

and solving for m you get:

-1600=m*(-64)

\(m=\frac{-1600}{-64}\)

m= 25

To find the value of b from the supply curve Q = m * P + b, you plug in the value of m and either of the two points into the equation and solve for b. So:

Q= 25*P + b

Replacing (P, Q) = (128,800)

800= 25*128 + b

800= 3200 + b

800 - 3200= b

-2400= b

The supply function is Q= 25*P - 2400

The point where the supply and demand curves intersect is called the market equilibrium point. At this point the quantity supplied and the quantity demanded is the same and the price must also be the same. So:

-20*P + 4800= 25* P -2400

Solving for P:

-20*P - 25*P= -2400 - 4800

-45*P= -7200

\(P=\frac{-7200}{-45}\)

P= 160

Since at the equilibrium point the quantity supplied and the quantity demanded is the same, replacing the price P in either of the two functions (demand or supply) I obtain the equilibrium quantity. In this case, it is replaced in the supply function:

Q= 25*160 -2400

Q= 1600

Finally, the market equilibrium price is $160 and market equilibrium quantity is 1600

Answer: 154cm

Step-by-step explanation:

10% of 140 is 14

add that 10% to get 154

The rate of interest is 73%.

What is the annual rate?

The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.

Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².

A dollar to triple in 2 years.

Thus putting X = 3 in X = (1+r) ²

3 = (1+r) ²

Take square root on both sides:

√3 = 1 + r

Subtract 1 from both sides:

r = √3 - 1

r = 0.73

r = 73%

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The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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The length of the rectangle is 9 meters.

Quadrilaterals with parallel sides that are equal to one another and four equal vertices are known as rectangles.

Given:

The length of a rectangle is 6 meters less than its width.

Let the width is n meters.

So, the length is n - 6 meters.

The area of the rectangle = 27 square meters.

(n - 6)n = 27

n² - 6n - 27 = 0.

n² - 9n + 3n - 27 = 0

(n - 9) (n + 3) = 0

n = 9 and -3.

Therefore, the length is 9 meters.

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Answer:

Placing a ladder up against a building will create a right triangle, with the legs being the ground and the building and the hypotenuse being the ladder. Since we have a right triangle and we know two sides, we can use the Pythagorean Theorem to solve for the 3rd:

62+b2=102

36+b2=100

b2=64

b=8

So the ladder will reach 8 feet up.

Hope this helps!

Answer:

Step-by-step explanation:

Sine = opposite(9) divided by hypotenuse(10)

9/10 =0.9

0.9  (inverse) = 64.15806724

Answer:

29000000000.

Step-by-step explanation:

Answer:

C. Seasonal variation

Step-by-step explanation:

Distinct pattern around a trend line can be caused by seasonal variation.

Seasonal variation refers to a component of a time series which can be defined as the repetitive and predictable movement around the trend line in a year or less. It is caused by temperature, rainfall, public holiday and cycles of season

Seasonal variation can be detected by measuring the quantity of interest for small time intervals, such as days, weeks, months or quarters.

Firms affected by seasonal variation are usually interested in knowing their performance relative to the normal seasonal variation. They need to identify and measure this seasonality so as to help with planning.

Answer:

73.4%

Step-by-step explanation:

The standardized value, or z-score, for a height of 22.7 inches can be calculated as:

z = (22.7 - 23.2) / 0.8 = -0.625

Using a standard normal distribution table, we can find that the area to the right of z = -0.625 is 0.734, or 73.4%.

Answer:

\(z = 2. \\ 5 \div z \\ 5 \div 2 \\ 2.5\)

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