A spinner is divided into three equal parts A, B, and C. The repeated experiment of spinning the spinner twice is simulated 125 times. A table of outcomes is shown.

The possible values are -

(a²,b²) = p

(a²,b) = p if p|-r and (a²,b) = p² if p|r

(a²,b³) = p² if p|-r and (a²,b³) = p³ if p|r

What is gcd?

The greatest common factor (GCF) that divides two or more numbers is known as the greatest common divisor (GCD). The highest common factor is another name for it (HCF).

Since (a, b) = p it can be written a = pr and b = ps where r and s are integers such that (r, s) = 1.

Then a² = p²r².

Then by Theorem 1.7, (a²,b) = (p²r²,ps) = p(pr²,s).

By Theorem 1.8, (r²,s) = 1 .

Thus, there are two cases to consider: if p|s then, (a²,b) = p², and if p|-s then (pr²,s) = 1 (Again by Theorem 1.8)  so that (a²,b) = p in that case.

Thus, there are two cases for (a²,b): namely p or p².

The same analysis shows that (a³,b) must be either p, p² or p³ depending on the power of p that divides b.

Analyze (a²,b³) as follows.

Using the notation already introduced, and

Theorem 1.7, it is obtained that (a²,b³) = (p²r²,p³s³) = p²(r²,ps³).

Since, (r, s) = 1, Theorem 1.8 shows that (r²,s³) = 1.

Therefore, there are two possibilities for (a²,b³) -

(a²,b³) = p² if p|-r and (a²,b³) = p³ if p|r.

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Answer: We can solve for x by subtracting 4 from both sides of the inequality:

X/5 + 4 <= 3

X/5 <= -1

Multiplying both sides of the inequality by 5:

X <= -5

The solution set for x can be expressed in set-builder notation as:

{x | x <= -5}

And in interval notation as:

(-∞, -5]

Step-by-step explanation:

The value of x is x≤ -5

inequality, In mathematics is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

greater than is >

less than is <

greater then or equal to is ≥

less than or equal to is ≤

x/5 +4 ≤ 3

collect like terms

x/5 ≤3-4

x/5 ≤ -1

multiply both sides by 5

x ≤ -5

therefore the value of x≤ -5

in interval notation

= infinity < x ≤ -5

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Answer:

Total number of paintbrushes

= 53 ÷ 25%

= 53 ÷ 0.25

= 212

Answer:

If 53 paintbrushes represent 25% of the total number of paintbrushes Daniel has, we can use the following formula to find the total:

total number of paintbrushes = (number of paintbrushes / percentage) x 100

Plugging in the values we know, we get:

total number of paintbrushes = (53 / 25) x 100

Simplifying, we get:

total number of paintbrushes = 212

Therefore, Daniel has a total of 212 paintbrushes in all.

Answer:

і мой тоєе если что какти зн

Answer:

In 5 hours he sold around 1405 toilet papers at ikea

Answer: A + B = C + D

Step-by-step explanation:

Answer:

The discount amount is $50.00. To calculate the discount, you can multiply the original price by the discount rate (expressed as a decimal), $249.99 * 0.20 = $49.998. Then, subtract the discount amount from the original price: $249.99 - $49.998 = $199.992.

Step-by-step explanation:

According to the mathematical calculations made, the results are as follows: the length of DF is 3.87 cm, the length of XF is 4.89 cm. The point 2cm from E is 5cm from X and the angle of D is 60°.

In this problem, we have to apply the Pythagorean theorem to find the lenght of DF line.

a² + b² = c²

7² + b² = 8²

49 + b² = 64

b² = 15

b = 3.87

In this problem, we have to apply the Pythagorean theorem to find the lenght of XF line.

a² + b² = c²

3² + 3.87² = c²

9 + 14.97 = c²

23.97 = c²

4.89 = c

According to the information of the graph we can conclude that the point 2cm from E is on the line EX, and it is located 2cm from E and 5cm from X.

We know that F has a angle less than D so we can infer that F has an angle of 30° and D has an angle of 60° which we can check with a compass.

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The number of ways the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000 is 9.

A permutation is a word that describes the number of ways things can be ordered or arranged.​

Given are numbers, 0,1, 2, 3

We asked for numbers greater than 2000, so those numbers will start either from 2 or 3.

2 _ _ _ = 3! = 6

3 _ _ _ = 3!/2! = 3

Hence, total possible ways are 6+3 = 9

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The distance will be 1.1319 × 10⁻¹ meters .

Speed of the sound = 3.43 x 10² meters per second

Time to calculate the distance traveled = 3.3 x 10-5 seconds

Since,

Distance = Speed x Time

Using the values we get:

Distance = 3.43 x 10² * 3.3 x 10-5

Distance = 11.319 × 10⁻³ meters

Since the calculators show the final answer is scientific notation, the above answer in scientific notation would be:

Distance = 1.1319 × 10⁻¹ meters

Hence , the distance will be 1.1319 × 10⁻¹ meters .

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The equation that gives the balance of the account after n years is given as follows:

[tex]A(t) = P(1.07)^t[/tex]

In which P is the initial amount in the account.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

The parameters for the function in thisp roblem are given as follows:

r = 0.07, n = 1.

Hence the function is given as follows:

[tex]A(t) = P(1.07)^t[/tex]

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When a ball is droped from 2m heights and rises by 75%, then the height of ball after forth bounce is equals to 0.632 meters.

If an object is thrown from high and has a bouncing feature, each bouncing is less than the initial height until it stops. Each bounce reduces the growth rate until it reaches zero. In order to calculate the height of each bounce, so we can estimate what percentage the object will reach after each bounce. If we get the percentage of each bounce, we can easily determine the height of each bounce. We have, a ball is droped from 2 meters and bounce up to 75%. That is height of first bounce is determined by using percentage, height is 2 m × 75% = 2 m×0.75 = 1.5 m

In second bounce, height is 1.5 m × 75%

= 1.5 m×0.75 = 1.12 m

In third bounce, 1.12 m× 75%

= 1.12 m×0.75 = 0.843 m

In forth bounce, height is 0.843× 75%

= 0.843× 0.75 = 0.632 m

The height the ball reaches on its forth bounce is 0.632 m.

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Complete question :

A ball is dropped from a height of 2 meters and rises up by 75% of its height on each bounce. How high would the forth bounce be?

Answer: Depends

Step-by-step explanation: When solving a system using elimination, you may have to multiply both equations by a certain value in order to use the method. However, there are a few instances where you will only need to multiply one. This normally happens when there is a higher multiply representing x or y from one equation to another.

Step-by-step explanation:

x = speed of the passenger train

x - 15 = speed of the freight train

remember, the passenger train is traveling 15 mph faster than the freight train. that also means the freight train travels 15 mph slower than the passenger train.

we could define the variable also the other way around (x = freight train, x + 15 = passenger train).

speed = distance/time period

distance = speed × time period

so,

x×4 + (x - 15)×4 = 260

because when both trains meet somewhere in the middle, it means that the sum of both of their ways traveled is the whole distance between both cities : 260 miles.

4x + 4x - 60 = 260

8x = 320

x = 320/8 = 40 mph

so, the passenger train traveled at 40 mph.

the freight train traveled at 40-15 = 25 mph.

The thirty-fourth term of the arithmetic sequence is the thirty-second term plus the common difference, which is not equal to 0.

The thirty-fourth term of the arithmetic sequence is calculated by adding the common difference to the thirty-second term. The common difference is the amount by which each successive term increases or decreases. As the common difference is not equal to 0, the thirty-fourth term is not the same as the tenth or second terms. The second, tenth, and thirty-fourth terms form a geometric sequence, which means that the ratio between any two successive terms is always the same. This ratio is determined by the common difference of the arithmetic sequence, and the thirty-fourth term can be calculated by adding the common difference to the thirty-second term.

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The value of trigonometric function be [tex]$\cos (\theta)=-\frac{\sqrt{35}}{6}$[/tex].

A subfield of mathematics called trigonometry is concerned with the study of triangles. It is sometimes known by the colloquial term "trig." In trigonometry, mathematicians look at how triangles' sides and angles relate to one another.

The sine, cosine, and tangent are the trigonometric functions that are employed in modern mathematics the most frequently.

There are many applications for trigonometry and its functions in daily life. For instance, it is employed in astronomy to gauge the distances between nearby stars, in geography to gauge the separations between landmarks, and in the satellite navigation system.

Let the value of sin [tex]\theta[/tex] be -√35/6.

The value of trigonometric function: [tex]$\cos (\theta)$[/tex]

[tex]$=-\frac{\sqrt{35}}{6}$$[/tex]

[tex]$\cos (\theta)=-\frac{\sqrt{35}}{6}$[/tex]

Therefore, the value of trigonometric function be [tex]$\cos (\theta)=-\frac{\sqrt{35}}{6}$[/tex].

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Answer:

273/4

Step-by-step explanation:

We know

A company’s stock opened at 68 3/8 dollars per share

68 3/8 = 547/8

The stock dropped 1 7/8 dollars on Monday

1 7/8 = 15/8

547/8 - 15/8 = 532/8

The stock dropped another 2 1/2 dollars on Tuesday.

2 1/2 = 5/2

532/8 - 5/2 = 532/8 - 20/8 = 512/8

On Wednesday, the stock gained back 4 1/4 dollars.

4 1/4 = 17/4

512/8 + 17/4 = 512/8 + 34/8 = 546/8

546/8 = 273/4

So, the answer is 273/4

Answer:

c = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

First, expand the brackets by applying the Distributive Law:

[tex]= -8c + 8 = 3[/tex]

Then bring all the like terms together and isolate c. Move '3' to the left and '8c' to the right: of the equation:

[tex]= 8 - 3 = 8c[/tex]

= [tex]5 = 8c[/tex]

= [tex]c = \frac{5}{8}[/tex]

165 tiles are needed to cover the entire floor of the room.

First, we need to find out the area of the room in square feet. We do this by multiplying the length and width of the room:

12 feet x 15 feet = 180 square feet

Next, we need to find out the area of one tile in square feet. We do this by squaring the length of one side of the tile:

11 3/11 feet x 11 3/11 feet = 128/121 square feet

Now, we can divide the total area of the room by the area of one tile to find out how many tiles are needed:

180 square feet / (128/121 square feet) = 180 x 121/128 = 165 tiles

So, 165 tiles are needed to cover the entire floor of the room.

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There are 10 million possible 7-digit license plates that a state can issue.

This is because each digit position can be filled with any of the 10 digits (0-9), giving us 10 options for each digit position.

By multiplying these 10 options for each of the 7-digit positions,

we get 10 * 10 * 10 * 10 * 10 * 10 * 10 = 10^7.

This amount is sufficient to guarantee that every citizen can have a distinctive license plate number.

It is significant to note that some restrictions, such as those that constitute a profane word or imply an official status, may prevent the issuance of particular license plate numbers.

So there are 10 million possible 7-digit license plates that a state can issue.

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The 98% confidence interval to estimate the true cost of a gallon of milk is $2.73 to $3.23.

The standard error is a measure of the variability or spread of a set of sample values. In statistics, the standard error is used to quantify the precision of an estimate of a population parameter, such as the mean or standard deviation. It is calculated as the standard deviation of the sampling distribution of a statistic, usually the mean. The standard error is a useful measure because it provides a way to compare different estimates of a population parameter, and it can be used to construct confidence intervals, which provide a range of values within which the true population parameter is likely to lie with a specified degree of confidence.

The 98% confidence interval to estimate the true cost of a gallon of milk can be calculated using the following formula:

CI = (sample mean) ± (critical value) * (standard error)

Where critical value can be obtained from a standard normal distribution table, corresponding to a given level of confidence.

For 98% confidence, the critical value is 2.33.

CI = $2.98 ± 2.33 * $0.10 = $2.98 ± $0.23 = $2.73 to $3.23

Therefore, the 98% confidence interval to estimate the true cost of a gallon of milk is $2.73 to $3.23

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The percentage of Japanese-Americans under 35 in Santa Clara County, CA is approximately 11.3%.

Santa Clara County, CA is home to approximately 27,873 Japanese-Americans. To determine what percentage of this population is under age 35, it is necessary to first calculate the total number of Japanese-Americans under 35. To do this, we can subtract the estimated number of Japanese-Americans over age 35 from the total population of Japanese-Americans. We can then divide this number by the total population of Japanese-Americans to find the percentage of Japanese-Americans under age 35. In Santa Clara County, CA, the estimated number of Japanese-Americans over age 35 is 24,672, and the total population of Japanese-Americans is 27,873. Subtracting 24,672 from 27,873 yields 3,201 Japanese-Americans under age 35. We can then divide 3,201 by 27,873 to get a percentage of 11.3%. Therefore, approximately 11.3% of the Japanese-American population in Santa Clara County, CA is under age 35.

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Answer: 33

Step-by-step explanation:

There are lots of things you have to remember in parallel lines with transversal lines (the lines that cut through the parallel lines). In this picture, the angles shown are co-interior angles. Co-interior angles add up to 180°.

Given this, we can make and solve the following equation:

[tex](x + 20) + (4x-5) = 180\\x + 20 + 4x - 5 = 180\\5x + 15 = 180\\5x = 165\\x = 33[/tex]

If there are any steps you don't understand, I can go through it again, so please tell me :)

The distance across the lake is approximately 62.5 meters, rounded to the nearest hundredth of a meter.

To find the distance across the lake (BC), we can use the following formula based on triangle similarity:

BC/AD = DB/DE

Where BC is the distance across the lake, AD is the known direct measurement made by Dominic, DB is the known measurement from point B to the landmark, and DE is the known measurement from point D to the landmark.

Let's assume that AD = 100 meters, DB = 50 meters, and DE = 80 meters. Then we can calculate BC as follows:

BC = (BC/AD) * AD = (DB/DE) * AD

BC = (50/80) * 100

BC = 62.5 meters

So, the distance across the lake is approximately 62.5 meters, rounded to the nearest hundredth of a meter.

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The model on the fifth row has a diameter of 32.5 meters, hence the actual diameter is 32.55 = <<32.55=162.5>>162.5 meters.

The minimal number of coordinates required to specify each point within a mathematical space (or object) is known as the dimension in physics and mathematics.

Because only one coordinate is required to identify a point on a line, such as a point at 5 on a number line, a line is said to have one dimension (1D).

Because two coordinates are necessary to identify a point on a surface, such as the perimeter of a sphere or cylinder, it is referred to as having a dimension of two (2D).

For instance, a point on the surface of a sphere requires both a latitude and a longitude to be located.

So, we can use a scale of 2:5 as a conversion factor to identify the table's missing dimensions.

For instance, the model's length in the second row is 2 inches, but the real length is 5 inches.

This implies that the model's 1 inch corresponds to the actual object's 5 inches.

The actual depth is 10 5 = 50 km because the model's depth is 10 km.

Since the model's length is not specified in the fourth row, we are unable to determine its true length.

Therefore, the model on the fifth row has a diameter of 32.5 meters, hence the actual diameter is 32.55 = <<32.55=162.5>>162.5 meters.

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Correct question:

Find the missing dimension. use the scale 2: 5.

2:5

l

model

actual

2. depth: 10 km

3. length: 5 in.

depth: _5 km

length: in.

4. length:

ft

length: 24 ft

5. diameter:

m

diameter: 32.5 m

No Criteria used to compare the Triangles.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.

Given:

As from the Figure in two Triangles ACB and ECD.

<ACB = <ECD (Vertically Opposite Angle)

AC= CE (Given)

But we do not have any third pair for make it Congruent.

Thus, None of the Rule is used to prove Congruency in Triangles.

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Answer:

Its Neither

Step-by-step explanation:

The time it will take for Helen and Reid to meet is given as follows:

3/7 of an hour = 26 minutes.

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

The parameters for this problem are given as follows:

Hence the time is obtained as follows:

7 = 3/t

7t = 3

t = 3/7 of an hour = 26 minutes.

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Answer:

there is 27 percent In the class

Step-by-step explanation:

you need black bla bla times bla = ur racist

The value of k from the equation is k = -20

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = kx   be equation (1)

Let the first point be P ( 4 , -80 )

Substituting the values in the equation , we get

-80 = 4k

Divide by 4 on both sides of the equation , we get

k = - ( 80/4 )

On simplifying the equation , we get

k = -20

Hence , the equation is k = -20

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Answer:

Below

Step-by-step explanation:

To add or subtract fractions they must have a common denominator

  you can multiply them together to find A common denominator

   2 x 9 = 18

so now yo have to convert the fractions to 18ths

1/2 * 9/9    ( this is just multiplying by '1') = 9/18

5/9 * 2/2 = 10 / 18    

now 1/2 - 5/9  then equals  9/18 - 10/18 = (9-10)/18 = - 1/18

Answer:

11*0.16=1.76

2.71-1.76=0.95

0.95/5=0.19

One orange costs 0.19

Step-by-step explanation: