What is the slope of the graph shown below?
++
7-6-5-4-3-2-1-1 2 3 4 5 6 7
-2
1999997
254567
-4
-5

Answer:

I have given two pictures for some visual clarity.

Hopefully my answer will help you.

12) line TQ and line QT are same because both the lines have the same points Q and T and we know that only one line can pass through two points. Hence, the statement is true.

13) Ray JK and ray JL are not the same ray because, although the two rays have a common vertices J they have two different points K and L due to which there exists two different rays that pass through points J and K and through points J and L. Hence the above statement is false.

14) Intersecting lines are coplanar since they always intersect on the same plane. The statement is true.

15) Obviously, four points are coplanar if they exist and lie on the same plane. The statement is true.

16) No, a plane containing two points of a line doesn't contains the entire line because a line doesn't have any end as it keeps on extending in two directions on the plane it lies. Two points can only contain a part of the line also known as line segment. The statement is false.

17) No, two distinct lines can't intersect on more than two one point. If the lines intersect at more than one point then they will become coincident lines(lines which lie on each other).

As the statement says that the lines are distinct, therefore the two lines can't intersect on more than two points. The statement is false.

Answer:

143.30

you can give me more

Since all elements of A are also present in B, the set difference of A and B is an empty set.

(a)

To find A∩B (the intersection of A and B), we need to identify the elements that are present in both sets:

A = {21, 23, 25, 27, 29}

B = {26, 28, 30, 32, 34}

A∩B = { }

Since there are no numbers that are present in both sets, the intersection of A and B is an empty set.

To find A∪B (the union of A and B), we need to combine all the elements from both sets:

A = {21, 23, 25, 27, 29}

B = {26, 28, 30, 32, 34}

A∪B = {21, 23, 25, 26, 27, 28, 29, 30, 32, 34}

So, the union of A and B is the set {21, 23, 25, 26, 27, 28, 29, 30, 32, 34}.

To find A−B (the set difference of A and B), we need to identify the elements in A that are not present in B:

A = {21, 23, 25, 27, 29}

B = {26, 28, 30, 32, 34}

A−B = {21, 23, 25, 27, 29}

Therefore, the set difference of A and B is the set {21, 23, 25, 27, 29}.

(b) A = {x∣x∈Z and −3<x<2}

  B = {x∣x∈Z and −5<x<4}

To find A∩B (the intersection of A and B), we need to identify the elements that are present in both sets:

A = {-2, -1, 0, 1}

B = {-4, -3, -2, -1, 0, 1, 2, 3}

A∩B = {-2, -1, 0, 1}

So, the intersection of A and B is the set {-2, -1, 0, 1}.

To find A∪B (the union of A and B), we need to combine all the elements from both sets:

A = {-2, -1, 0, 1}

B = {-4, -3, -2, -1, 0, 1, 2, 3}

A∪B = {-4, -3, -2, -1, 0, 1, 2, 3}

Therefore, the union of A and B is the set {-4, -3, -2, -1, 0, 1, 2, 3}.

To find A−B (the set difference of A and B), we need to identify the elements in A that are not present in B:

A = {-2, -1, 0, 1}

B = {-4, -3, -2, -1, 0, 1, 2, 3}

A−B = {}

Since all elements of A are also present in B, the set difference of A and B is an empty set.

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Answer:

5:12

Step-by-step explanation:

$1.20 = (1x100 + 20) cents = 120 cents

You get a ratio of 50:120.

Since both are divisible by 10, divide both sides by 10.

You get 5:12.

Since 5 and 12 share no common factors other than 1, this is the simplest form.

Answer:

Yes, they are equivalent.

Step-by-step explanation:

Both of the expressions equal to 77. 42+35 is easy, just add to get 77. To solve 7(6+5) remember PEMDAS which tells you to do parentheses first. So add 6+5, which is 11, then multiply by 7. 11*7 is 77, therefore the expressions are equivalent.

The area of the lawn in the scale drawing is approximately 996 square feet.

1. Measure the length and width of the lawn in inches on the scale drawing.

Length = 16.5 inches

Width = 15.5 inches

2. Convert the measurements to feet by dividing the inches by 12.

Length = 16.5/12 = 1.375 feet

Width = 15.5/12 = 1.291 feet

3. Calculate the area of the lawn by multiplying the length and width.

Area = 1.375 x 1.291 = 1.75 square feet

4. Multiply the area by the scale factor (in this case, 560) to get the actual area.

Area = 1.75 x 560 = 996 square feet

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Answer:

The answer to your problem is, 1,740 minutes

Step-by-step explanation:

The time period of 116 trainings solutions;

The time period of 1 weight training that we know is 15 minutes. Time period of 116 weight is 5 x 116 = 1,740

Thus the answer to your problem is, 1,740

Answer:1,740 minutes

Step-by-step:

I first saw that I need to take 15 minutes and x it be the 116 Practices.

So 15 x 116 is 1,740.

1,740 minutes is your answer.

Answer: [1,3]

Step-by-step explanation:

Omer inequality form: 1<x<3

The equivalent annual cost (EAC) of the project is $78,000, considering the initial fixed asset and net working capital investments, annual operating cash flow, and required return of 10%.



To calculate the equivalent annual cost (EAC) of the project, we need to consider the initial fixed asset investment, initial net working capital (NWC) investment, annual operating cash flow (OCF), and the required return.

The EAC can be calculated using the formula:

EAC = Initial Fixed Asset Investment + Initial NWC Investment + Present Value of Annual OCF

First, let's calculate the present value (PV) of the annual OCF using the formula for the present value of a growing perpetuity:PV = OCF / (r - g)

where r is the required return and g is the growth rate of OCF. In this case, the OCF is constant, so the growth rate (g) is zero.

PV = (-$22,000) / (0.10 - 0) = -$220,000

Next, we can calculate the EAC:

EAC = $275,000 + $23,000 + (-$220,000) = $78,000

Therefore, the equivalent annual cost (EAC) of the project is $78,000.

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Answer:

and?

Step-by-step explanation:

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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This is a geometric sequence with a common ratio of 2. So the predicted order quantity for September is 1376 copies.

In a geometric sequence, each term is found by multiplying the previous term by a fixed number called the common ratio. In this case, we can see that each month's order quantity is double the previous month's order quantity. This makes it a geometric sequence with a common ratio of 2.

To verify, we can divide any term by its preceding term and see that we always get the same ratio of 2. For example:

June order / May order = 172 / 86 = 2

July order / June order = 344 / 172 = 2

August order / July order = 688 / 344 = 2

Knowing that this is a geometric sequence with a common ratio of 2, we can use the formula for the nth term of a geometric sequence to find the order quantity for any given month:

an = a1 * r^(n-1)

where:

an = the nth term

a1 = the first term

r = the common ratio

n = the number of terms

For example, to find the order quantity for September (the 5th month), we can plug in the values:

a5 = 86 * 2^(5-1) = 86 * 16 = 1376

So the predicted order quantity for September is 1376 copies.

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Answer:

let the number be x.

hope it helps

From a "standard-deck" of "playing-cards", the number of ways which are required to form a "5-card" hand with "2-pairs" is 123,552 ways.

A "Standard-Deck" of playing cards generally consists of 52 cards, divided into four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 ranks: Ace, 2 through 10, and three face cards.

To form a 5-card hand with 2 pairs from a standard deck of playing cards, we break it down into two steps:

Step(1) : Select the values for the two pairs.

There are 13-ranks in a standard deck of playing cards, ranging from 2 to 10, and then Jack, Queen, King, and Ace, for a total of 13 possible values.

We need to select 2 of these values to form the two pairs. The number of ways to do this is "C(13, 2)" which is : 78,

So, there are 78 ways to select the values for the two pairs.

Step(2) : Select the specific-cards for each pair and the fifth card.

For each pair, we need to select 2 cards of that value from the 4 cards of each rank in the deck.

The number of ways to do this is "C(4, 2)" which is : 6,

So, there are 6 ways to select the specific cards for each pair.

Finally, for the fifth-card, we can choose any of the remaining "44-cards" in the deck (after selecting the 8 cards for the two pairs).

So, total number of ways to form a "5-card" hand with "2-pairs" from a standard deck of playing cards is,

⇒ 78 × 6 × 6 × 44 = 123,552 ways,

Therefore, the required number of ways are 123,552 ways.

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The given question is incomplete, the complete question is

Using a standard deck of playing cards, how many ways are to form a 5-card hand with 2 pairs?

A regular polygon with interior angles that measure 140 degrees has 9 sides. All interior angles are congruent, meaning they have the same degree measure.

To find the number of sides in a regular polygon with a given interior angle measure, we can use the formula:

n = 360 / (180 - x)

where n is the number of sides and x is the measure of each interior angle in degrees.

This formula is derived from the fact that the sum of the interior angles in a polygon with n sides is given by the formula (n-2) * 180. In a regular polygon, each interior angle measures (Sum of interior angles / n). If we substitute the formula for the sum of interior angles into the formula for the measure of each interior angle, we get:

x = (n-2) * 180 / n

Solving for n:

n = 360 / (180 - x)

So, when we plug in the given interior angle measure of 140 degrees, we get:

n = 360 / (180 - 140)

n = 360 / 40

n = 9

Therefore, a regular polygon with interior angles that measure 140 degrees has 9 sides.

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How many sides does a regular polygon have if each interior angle measures 140?

From the results, we can see that :

They won 11 matches, drew 3 matches and lost 6 matches. Therefore, the total number of matches they played was 11 + 3 + 6 = 20 matches.

=> Out of a total of 20 matches, they won 11. Therefore, the percentage of their matches that they won is : 11 : 20 = 55%.

The margin of error will be larger for a 99% confidence interval than for a 95% confidence interval, assuming the same sample size and level of variability in the data.

The margin of error is the range of values above and below the point estimate within which the true population parameter is likely to fall.

A higher level of confidence requires a larger margin of error. This is because as the level of confidence increases, the range of values that contains the true population parameter becomes wider.

For example, a 95% confidence interval has a margin of error of plus or minus two standard errors of the point estimate.

Increasing the confidence level to 99% would require a wider range of values, and therefore a larger margin of error, such as plus or minus three standard errors of the point estimate.

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Answer:8

Step-by-step explanation:

it is the only one without a variable.

Answer:

\(\boxed {\tt 8}\)

Step-by-step explanation:

A constant is a term without a variable.

Let's analyze each term of the expression: 13x³+x²-4x+8

13x³: this has a variable of x³

x²: this has a variable of x²

-4x: this has a variable of x

8: this has no variable

Since 8 is the term without a variable, 8 is the constant.

Answer:

1, 0

Step-by-step explanation:

Let \(\cos (x+2\pi) = -\frac{\sqrt{2}}{2}\). From Trigonometry we remember the following identity:

\(\cos (a+b) = \cos a \cdot \cos b - \sin a \cdot \sin b\) (Eq. 1)

Where \(a\) and \(b\)  are angles measured in radians.

Then, we proceed to expand the given expression:

\(\cos x \cdot \cos 2\pi - \sin x \cdot \sin 2\pi = -\frac{\sqrt{2}}{2}\)

\(\cos x \cdot 1 - \sin x \cdot 0 = -\frac{\sqrt{2}}{2}\)

\(\cos x = -\frac{\sqrt{2}}{2}\)

Therefore, correct answer is "1, 0".

Answer:

A 1;0

Step-by-step explanation:

The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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The interval of convergence, I, is (-∞, +∞) or (-∞, ∞) in interval notation.

To find the radius of convergence, we can use the ratio test. The general term of the series is given by a_n = n * 5^(n-1).

Let's apply the :

lim(n→∞) |a_(n+1)/a_n| = lim(n→∞) |(n+1) * 5^n / (n * 5^(n-1))|

Simplifying, we get:

lim(n→∞) |5(n+1)/n|

As n approaches infinity, the term (n+1)/n approaches 1. Therefore, the limit simplifies to:

lim(n→∞) |5| = 5

Since the limit is less than 1, the series converges. Thus, the radius of convergence, R, is infinity.

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Answer: 8

c

m

=

4

c

m

=

Step-by-step explanation:

An R-squared value of 0.50 is considered moderate, but the interpretation of the results will depend on the specific circumstances.

To test for overall significance, we can perform an F-test with a significance level of 0.05.

The null hypothesis is that all regression coefficients are equal to zero, while the alternative hypothesis is that at least one coefficient is not equal to zero.

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The domain of the relation {(1, 3), (-1, 1), (0, -2), (0, 0)} is:

D = {-1, 0, 1}

For a relation defined by coordinate points like:

{(x₁, y₁), (x₂, y₂), ...}

The domain is defined as the set of the inputs (in this case, is the set of the x-values)

Then the domain will be {x₁, x₂, ...}

In this case we have the relation:

{(1, 3), (-1, 1), (0, -2), (0, 0)}

Notice that the input x = 0 appears twice.

Then the domain of the relation is:

D = {-1, 0, 1}

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The area of the kitchen in square feet is 132\(ft^{2}\)

To find the area of the rectangular kitchen, we need to multiply the length by the width.

The length of the kitchen can be found by subtracting the x-coordinates of the two points on the same vertical side. So, the length is 8 - (-3) = 11 feet.

The width of the kitchen can be found by subtracting the y-coordinates of the two points on the same horizontal side. So, the width is 4 - (-8) = 12 feet.

Therefore, the area of the kitchen is:

Area = Length x Width = 11 ft x 12 ft = 132 square feet

So the answer is 132\(ft^{2}\).

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By plotting the ordered pairs and joining them, the figure obtained is a hexagon.

We are given the ordered pairs as:

(1, 5), (0, 4), (1, 3), (2, 3), (3, 4), and (2, 5).

Ordered pairs are the pairs that are written in the form:

(x, y)

where x is the abscissa and y is the ordinate of the points.

We will first plot these ordered pairs on a graph.

Now we will join the points.

We can see that the figure that is being obtained is a hexagon as it has six sides.

Therefore, we get that, by plotting the ordered pairs and joining them, the figure obtained is a hexagon.

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Answer: B

Step-by-step explanation:

It just is.

Answer: A. $60.7% decrease

Answer:

= 60.6557% decrease

Step-by-step explanation:

Solution:

Calculate percentage change

from V1 = 12.2 to V2 = 4.8

(V2−V1)|V1|×100

=(4.8−12.2)|12.2|×100

=−7.412.2×100

=−0.606557×100

=−60.6557%change

=60.6557%decrease

Answer:

\(\frac{6}{35}\)

Step-by-step explanation:

To find the ' middle ' add the 2 fractions and divide by 2 ( average )

\(\frac{1}{5}\) + \(\frac{1}{7}\) ( change denominators to 35 , the LCM of 5 and 7 )

= \(\frac{7}{35}\) + \(\frac{5}{35}\)

= \(\frac{12}{35}\)

midway = \(\frac{12}{35}\) ÷ 2 = \(\frac{6}{35}\)

The fraction is exactly midway between 1/5 and 1/7  is  \(\frac{6}{35}\) .

Sometimes you need to find the point that is exactly midway between two other points. For instance, you might need to find a line that bisects (divides into two equal halves) a given line segment. This middle point is called the "midpoint".

According to the question

The fraction is exactly midway between 1/5 and 1/7

Now ,

To find midway between 1/5 and 1/7

Step1 : Add fraction 1/5 and 1/7

= \(\frac{1}{5} +\frac{1}{7}\)

= \(\frac{12}{35}\)

Step2 : Divide the sum by 2 or multiply by 1/2

= \(\frac{12}{35}\) * \(\frac{1}{2}\)

= \(\frac{6}{35}\)

Hence, the fraction is exactly midway between 1/5 and 1/7  is  \(\frac{6}{35}\) .

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The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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Answer:

Group the first two terms together and then the last two terms together

Step-by-step

may not be right sorry if it isn't