What is a common factor for the two fractional terms
11
001 01
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The terms can be written as 5)
(x) and (11)
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(x) y).
O 5
100 100

A state transition diagram shows how an object changes from one state to another, depending on events that affect the object. The correct answer is Option B.

State transition diagrams are utilized to model the behavior of objects in systems. Objects can experience multiple states, and state transition diagrams depict how an object transitions from one state to another, depending on the events that occur as a result of the system's execution. State transition diagrams, also known as state machines, state-chart diagrams, and state diagrams, are utilized in object-oriented software engineering and software engineering to describe object behavior and interactions with other objects.

A state transition diagram is useful for defining the states and transitions of a finite-state machine. When a system can be in one of a few discrete states, a state transition diagram is employed to represent the state transitions. State transition diagrams are helpful in system analysis, as they help users comprehend how the system works, and they may also be utilized as input to software testing tools. Additionally, state transition diagrams may be utilized to determine the number of states in a system or the minimum number of inputs required to transition from one state to another.

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The solution to the equation (x-2)(x+5)=18 is x=-4 or x=-7.

To solve the equation, first, we can simplify the left-hand side by multiplying the two factors using the FOIL method:

(x-2)(x+5) = \(x^2\) + 3x - 10 = 18

Then, we can move all terms to one side and get:

\(x^2\) + 3x - 28 = 0

Finally, we can factor the quadratic equation using the product-sum method:

\(x^2\) + 3x - 28 = (x+7)(x-4)

Therefore, the solutions are x=-7 and x=4.

However, we should always check that our solutions make sense by plugging them back into the original equation:

For x=-7, we have (-7-2)(-7+5)=18, which is true.

For x=4, we have (4-2)(4+5)=18, which is also true.

Therefore, the solutions to the equation are x=-7 or x=4.

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Complete Question:

Which is a solution to the equation?

(x -2)(x + 5) = 18

Answer:

Number 1 is also 125 because it corresponds.

Step-by-step explanation:you see other line in the triangle right!if u see both are giving that line anywhere then you will know they corresponds! hope it hels!good night!

The speed that Morris is travelling is 0.3 ft/s

Speed is the ratio of distance covered with respect to time.

Given the following parameters

Speed of Annesha = 50mi/hr

Speed of Moris = 3ft/s less than Aneesha

Convert 50mi/hr to ft/hr

50mi/hr = 73.3ft/s

Speed of Morris = 73.3 - 3

Speed of Morris =70.3 ft/s

Hence the speed that Morris is travelling is 0.3 ft/s

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Answer:

Figure D is regular polygon.

Answer: A.

Step-by-step explanation: Think of present tense, past tense, future tense

Answer:

A

Step-by-step explanation:

Answer:

Here answer

Step-by-step explanation:

To find the number of hours Jayden would have to work to earn $105.00, we need to first find his hourly wage. We can do this by dividing his total earnings by the number of hours he worked:

hourly wage = total earnings / number of hours worked

= $87.50 / 5 hours

= $17.50/hour

Now that we know Jayden's hourly wage, we can use it to find the number of hours he would have to work to earn $105.00. We can do this by dividing the total amount he wants to earn by his hourly wage:

number of hours = total earnings / hourly wage

= $105.00 / $17.50/hour

= 6 hours

Therefore, Jayden would have to work for 6 hours to earn $105.00 at his job.

Step-by-step explanation:

10.000 = 1 meatballs

4 meatballs = 4 × 10.000

= 10.000 × 4

= (1×4)0000

= (4)0000

= Rp. 40.000

Answer:

The solution is 40.000

Step-by-step explanation:

Opah and sis Ros want buy 4 with price 10.000/portion. How much money must be paid by kak Ros and opah?

10.000×4

= 40.000

or

10.000×4

= 10.000+10.000+10.000+10.000

= 20.000+10.000+10.000

= 30.000+10.000

= 40.000

The reasonable estimate of the difference between their two jumps is B. one-half yard.

A fraction simply means part of a whole number.

In this case, Joe jumped one and seven-fourteenths yards. This will be 1 7/14

Tilly jumped thirteen-fourteenths of a yard. This will be 131/14.

Therefore, the reasonable difference will be:

= 1 7/14 - 13/14

Note that 13/14 is almost 1. This will be:

= 1 7/14 - 1

= 7/14.

= 1/2

This shows the difference.

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Answer:

1. Distributive property

2. Reflexive property

3. Multiplication property of equality

4. Transitive property of equality

5. Addition property of equality

6. Substitution property

Step-by-step explanation:

Answer:

240000

Step-by-step explanation:

Answer:

240,000

Step-by-step explanation:

Pretend it is only 4 ten thousands. It would be 40,000. Since it is 24, there are 2.4 times more digits, so it would be 240,000 since it is at least 10 times more than a thousand which would be the 40,000 .

In case anyone needs 24 ten thousandths in the future:

0.0024

0.00024 is equal to 24 hundred-thousandths and there are tenths (0.1), hundredths (0.01), and thousandths (0.001). Then ten thousandths would just be a step lower (0.0001) but since there are 24, it would go into the thousandths place but have the four in the ten thousandths. So it would be 0.0024.

Answer:

Choice 1= 19 times, 16 people

Step-by-step explanation:

Answer:

19 times 16 people

do 374 subtracted by 16, then divide 374 by 18, lastly, the remainder is how many who will be on the last ride

The relation between the area (a) and the side length (s) in the table is:

A. a = s²

What is an area?

To see this relationship, we can observe that the areas of the poster boards are the square of their respective side lengths. For example, when the side length is 2 feet, the area is 4 square feet (2²).

Similarly, when the side length is 4 feet, the area is 16 square feet (4²). This pattern holds true for all the side lengths listed in the table. Therefore, we can conclude that the area of each poster board is equal to the square of its side length.

Calculation:

Side Length (s)    |       Area (a)

  1                         |        1

  2                        |        4

  3                        |        9

  4                        |        16

As we can see, the area of each poster board is equal to the square of its side length. Thus, the relation between the area (a) and the side length (s) in the table is a = s².

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Answer:

A

Step-by-step explanation:

\(a = s {}^{2} \\ 1. \: + - \sqrt{a = s} \\ 2. \: s = + - \sqrt{a} \)

The critical t-value is approximately 1.753.

To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).

In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.

This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.

It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.

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C: Parametric tests are more likely to get significant results compared to nonparametric tests.

Parametric tests are statistical tests that assume certain characteristics about the data, such as normal distribution and homogeneity of variance.

Parametric tests are statistical tests that make certain assumptions about the data, such as the normal distribution of the population. These tests have more statistical power and are more likely to find significant results if these assumptions hold.

Nonparametric tests, on the other hand, do not make any assumptions about the data's distribution and are useful for non-normally distributed data. They have less statistical power and are less likely to find significant results.

However, if the assumptions of parametric tests are not met, they may lead to incorrect conclusions.

Therefore, it is important to choose the appropriate test based on the data and research question.

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Answer:

Explanation:

use the formula: n(n+1)/2

                            where n is the number of nth position

(a)

n(n+1)/2

22(22+1)/2

253

(b)

11(11+1)/2

66

(c)

n(n+1)/2

31(31+1)/2

496

(d)

n(n+1)/2

40(40+1)/2

820

Answer:

a) 253

b) 66

c) 496

d) 820

Step-by-step explanation:

Triangular numbers : pattern of numbers that form equilateral triangles. Each subsequent number in the sequence adds a new row of dots to the triangle.

nth triangular number formula: \(T_n=\dfrac{n(n+1)}{2}\)

a) if n = 22

\(T_{22}=\dfrac{22(22+1)}{2}=253\)

b) if n = 11

\(T_{11}=\dfrac{11(11+1)}{2}=66\)

c) if n = 31

\(T_{31}=\dfrac{31(31+1)}{2}=496\)

d) if n = 40

\(T_{40}=\dfrac{40(40+1)}{2}=820\)

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Answer: E

Step-by-step explanation:

Side triangles; 6.

(3x4/2=6)

There are 2 triangles.

Back of triangle thing is 24.

Top area is 40.

Bottom area is 32.

12+24+40+32

Answer is 108.

I THINK that is the correct answer. I am so so sorry if it isn't.

Answer:

E- 108 in squared. Hope this helps!

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

You would go 83.5 - 2.5 to get 81

divide 81 by three to get 27

Step-by-step explanation:

Answer:

Minimum: 189

Maximum: 786

Median: 572

Lower quartile: 275

Upper quartile: 653

Step-by-step explanation:

Listing the numbers in order from least to greatest, we have: 189, 274, 276, 403, 572, 649, 652, 654, 786.

From this, we can see that the smallest (minimum) value is 189, and the largest (maximum) value is 786.

We can find the the median by taking off a number from each side of the number set one by one. When done, we can see that the number in the middle is 572, so that is our median.

To find the upper and lower quartiles, split the number set in half where the median lies and find the median of those two sections.

Q1: 189, 274, 276, 403

274 + 276 = 550

550 ÷ 2 = 275

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

Q3: 649, 652, 654, 786

652 + 654 = 1306

1306 ÷ 2 = 653

So, the lower quartile range is 275, and the upper quartile range is 653.

hope this helps!

The test statistic for the difference between the means is approximately 1.94. To determine if there is a significant difference between the average hourly wages at two manufacturing companies, we will use the two-sample t-test.

The test statistic for the difference between the means can be calculated using the following formula:

t = (x1 - x2) / sqrt((σ1^2/n1) + (σ2^2/n2))

Here, x1 and x2 are the sample means, σ1 and σ2 are the sample standard deviations, and n1 and n2 are the sample sizes for the two manufacturers.

Plugging in the given values:

t = ($24.80 - $24.00) / sqrt(($3.00^2/90) + ($2.25^2/73))

t = $0.80 / sqrt((9/90) + (5.0625/73))

t = $0.80 / sqrt(0.1 + 0.0693)

t = $0.80 / sqrt(0.1693)

t ≈ $0.80 / 0.4115

t ≈ 1.94

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Answer:

3

Step-by-step explanation:

The true statement is the one in the fourth option:

"UV is perpendicular to AB and UV is parallel to ZY"

Here we have some statements about the lines that we can see on the image.

For example, the first statement can be translated to:

"Line AB is parallel to line UV, and line AB is parallel to line WX"

This is false, because two parallel lines never do intersect and in the graph we can see that AB intersects the line UV, so these lines are not parallel.

Now, one of these statements is only true if both parts are true.

Now that we can read the statements, the one that is true is the last one:

"UV is perpendicular to AB and UV is parallel to ZY"

By looking at the image we can see that this is true, thus, the fourt option is the correct one.

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The number of positive integers from 1 to 2000 that are multiples of 20 or 25 is 180.

To count the number of positive integers from 1 to 2000 that are multiples of 20 or 25 using the inclusion-exclusion principle, we need to consider the individual counts of multiples of 20 and multiples of 25 and then subtract the count of multiples of both 20 and 25 to avoid double-counting.

Multiples of 20:

The largest multiple of 20 less than or equal to 2000 is 2000.

The count of multiples of 20 from 1 to 2000 is given by 2000 / 20 = 100.

Multiples of 25:

The largest multiple of 25 less than or equal to 2000 is 2000.

The count of multiples of 25 from 1 to 2000 is given by 2000 / 25 = 80.

Multiples of both 20 and 25 (common multiples):

To determine the count of multiples of both 20 and 25, we need to find the least common multiple (LCM) of 20 and 25, which is 100.

The count of multiples of 100 from 1 to 2000 is given by 2000 / 100 = 20.

Now, using the inclusion-exclusion principle, we can calculate the total count:

Total count = Count of multiples of 20 + Count of multiples of 25 - Count of multiples of both 20 and 25

= 100 + 80 - 20

= 180.

Therefore, the number of positive integers from 1 to 2000 that are multiples of 20 or 25 is 180.

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Answer:

1. The plant seems to be growing approximately 4.5 cm every 3 days.

2. around 0.5 cm.

3.  It should be 30.5 cm

   Step-by-step explanation:

1.  18.5 - 5 = 13.5

13.5 represents the amount of growth it had throughout those 9 days. To find  out the consistent, you would have to find out how many cm it grows every 3 days.

So you would divide 13.5 by 3.

13.5 / 3 = 4.5

2. Since we know how much it grows every 3 days, and it was 5 cm after 3 days of him having it you would subtract 4.5 from 5.

5 - 4.5 =0.5

3. we already know how tall it would be at 12 days, 18.5. And since we know how tall it will grow every 3 days, 4.5. You would add it until right before you get to 20.

Day 15: 23 cm

Day 18: 27.5 cm

Since we can't add 4.5 anymore, because give you the height at 21 days instead of 20.

Divide 4.5 by 3, since that's how many days it would take to grow.

4.5 / 3 = 1.5

1.5 represents how much it grows everyday. So multiply it by 2 and then add it to the 18th day.

1.5 * 2 = 3

27.5 + 3 = 30.5

That's it.

Answer:

C and B; A and C; E and C;

Step-by-step explanation:

Skew Lines are lines that do not intersect and are not parallel. Skew lines must be in 2 different planes because in 1 plane 2 lines either intersect or are parallel. Assuming that a,b, and e are on the plane in front and c is on the plane in the back we can say that A and B, B and E, and A and E can not be skew lines because they lie on the same plane. This leaves C and B, E and C, and A and C.

Answer:

C and B; E and C; A and C

Step-by-step explanation:

Answer

option (a) is the correct answer. The required coating for the spherical ball bearing having a protective coating of 0.03 cm and a radius of approximately 6 cm is 12.564 cm3.

Given that: A spherical ball bearing is coated with 0.03 cm of a protective coating.The radius of this ball bearing is 6 cm.

the surface area of the sphere is:SA = 4πr2.

Therefore, the surface area of a spherical ball bearing with a radius of 6 cm is calculated as follows:SA = 4πr2= 4 × 3.14 × 6 × 6= 452.16 cm2

Now that the protective coating is applied to the sphere, the total surface area of the sphere will be as follows:

New Surface area = (4π(6 + 0.03)2) cm2= (4π(6.03)2) cm2= 457.08 cm2.

The difference between the two surface areas (without coating and with coating) will provide the area that needs to be coated.

A = New Surface area - Surface area without coating= 457.08 - 452.16= 4.92 cm2.

Therefore, the volume of the protective coating required is given as follows:Volume of coating = Area to be coated × Thickness of coating= 4.92 × 0.03= 0.1476 cm3 = 0.148 cm3 (approximately) .

Hence, the required coating for the spherical ball bearing having a protective coating of 0.03 cm and a radius of approximately 6 cm is 12.564 cm3 . Therefore, option (a) is the correct answer.

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The measures of x for the similar triangles are given as follows:7

11. x = 5.

12. x = 13.

13. x = 7.

14. x = 8.

For similar triangles, the equivalent side lengths are proportional, hence proportional equations are built to find the measures of x.

For item 11, the equation is given as follows:

44/55 = 48/(13x - 5)

4/5 = 48/(13x - 5)

Applying cross multiplication:

4(13x - 5) = 48 x 5

52x = 260

x = 260/52

x = 5.

For item 12, the equation is given as follows:

30/(5x - 11) = 65/117

65(5x - 11) = 30 x 117

325x = 4225

x = 4225/325

x = 13.

For item 13, the equation is given as follows:

65/169 = (7x + 1)/130

169(7x + 1) = 130 x 65

1183x = 8281

x = 8281/1183

x = 7.

For item 14, the equation is given as follows:

21/35 = (4x - 2)/50

3/5 = (4x - 2)/50

20x - 10 = 150

20x = 160

x = 160/20

x = 8.

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