Identify the polygon that has vertices A(−10,−1), P(−7,3), E(−3,0), and X(−6,−4), and then find the perimeter and area of the polygon.

The three consecutive number are 17 , 18 and 19 respectively

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be = x

Let the second number be = ( x + 1 )

Let the third number be = ( x + 2 )

Now ,

A = 4 times the first decreased by the second is 12 more than twice the third

Substituting the values in the equation , we get

4x - ( x + 1 ) = 12 + 2 ( x + 2 )

On simplifying the equation , we get

4x - x - 1 = 12 + 2x + 4

3x - 1 = 16 + 2x

Subtracting 2x on both sides of the equation , we get

x - 1 = 16

Adding 1 on both sides of the equation , we get

x = 17

Therefore , the value of x is 17

Hence , the consecutive numbers are 17 , 18 and 19

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The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.

In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.

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Answer:

Clear

Step-by-step explanation:

I'd probably imagine a bunch of images

The perimeter of the rectangle with the given vertices is 14 units.

To find the perimeter of a rectangle, we need to calculate the sum of all four sides.

Given the coordinates of the four vertices: (2,5), (2,2), (6,5), and (6,2), we can determine the lengths of the sides.

The length of the rectangle can be found by subtracting the x-coordinate of one vertex from the x-coordinate of another vertex. Similarly, the height of the rectangle can be found by subtracting the y-coordinate of one vertex from the y-coordinate of another vertex.

Let's calculate the lengths of the sides:

Length: (6 - 2) = 4 units

Height: (5 - 2) = 3 units

Since a rectangle has two pairs of equal sides, the length and height will be repeated.

Now, we can calculate the perimeter by adding up the lengths of all four sides:

Perimeter = 2 * (Length + Height)

Perimeter = 2 * (4 + 3)

Perimeter = 2 * 7

Perimeter = 14 units

Therefore, the perimeter of the rectangle with the given vertices is 14 units.

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Answer:

884.4

Step-by-step explanation:

Answer:

The original price is 895.12$

I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this

Step-by-step explanation:

Answer:

\(5(3x-2y-2)\) i think. i am sorry if i am wrong

Step-by-step explanation:

Answer:

\(\frac{10m^{10}n^{6}p^{9}}{y}\)

Step-by-step explanation:

Simplifying the numerator :

⇒ (-5m⁷n⁰p⁵)(2m⁴n³p²)³

⇒ (-5m⁷p⁵)(8m¹²n⁹p⁶)

⇒ (-5)(8)(m)⁷⁺¹²n⁹(p)⁵⁺⁶

⇒ -40m¹⁹n⁹p¹¹

Dividing by the denominator :

⇒ \(\frac{-40m^{19}n^{9} p^{11} }{-4m^{9}n^{3}p^{2}y} }\)

⇒ \(\frac{10m^{10}n^{6}p^{9}}{y}\)

Answer:

10 rows with 6 passengers per row

Step-by-step explanation:

Let x be the number of rows and y the number of passengers per row.

Then we can interpret the story as the following two equations:

xy=60

(x+2)(y-1)=60

Solving these two equations:

y=60/x

(x+2)(60/x-1)=60     (substitute y)

60 - x + 120/x - 2 = 60 (multiply by -x)

x² + 2x - 120 = 0     (factor)

(x-10)(x+12) = 0

x = 10

y = 60/10 = 6

and indeed 10 * 6 = 60 and also 12 * 5 = 60

Answer:

4t^2 - 8tna + nat - 2 n^2 a^2

Step-by-step explanation:

Dudjdkdjejdnkdhdbd

Plane ADF is another way to label Plane J.

In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.

These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.

Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.

Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.

Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.

Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.

Therefore, Plane ADF is another way to label Plane J.

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Answer:

We accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

Step-by-step explanation:

A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50.

This means that the null hypothesis is:

\(H_{0}: \mu = 50\)

And the alternate hypothesis is:

\(H_{a}: \mu \neq 50\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

50 tested at the null hypothesis:

This means that \(\mu = 50\)

In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.

This means that \(n = 36, X = 50.67, \sigma = 3.9\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{50.67 - 50}{\frac{3.9}{\sqrt{36}}}\)

\(z = 1.03\)

p-value:

Since we are testing if the mean is differente from a value and the z-score is positive, the pvalue is 2 multipled by 1 subtracted by the pvalue of z = 1.03.

z = 1.03 has a pvalue of 0.8485

1 - 0.8485 = 0.1515

2*0.1515 = 0.3030

0.3030 > 0.01, which means that we accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

Answer: whichever graph that goes up 4 and over 5

Step-by-step explanation:

rise over run, 4 up, 5 right

to find it just look at two points on the line and count how many up and how many horizontal units there are between them :)

9514 1404 393

Answer:

  t ≥ 40

Step-by-step explanation:

"No less than" is the same as "greater than or equal to".

  t ≥ 40

The equation of the line in slope-intercept form is y = (3/4)x.

To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,

where m is the slope and b is the y-intercept.

Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).

First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Using (-8, 5) as the point and 3/4 as the slope, we have:

5 - 5 = (3/4)(-8 - x)

0 = (3/4)(-8 - x)

0 = (-3/4)(8 + x)

0 = -6 - (3/4)x

Next, we can solve for x:

(3/4)x = -6

x = -6 \(\times\) (4/3)

x = -8

Now that we have the value of x, we can substitute it back into the equation to find the value of b:

0 = -6 - (3/4)(-8)

0 = -6 + 6

0 = 0

So, the value of b is 0.

Finally, we can write the equation of the line in slope-intercept form:

y = (3/4)x + 0

y = (3/4)x.

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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We are given the following system of linear equations

Let us solve the given system of equations.

First, let us find the determinant.

The determinant is given by

As you can see, the determinant of the matrix is 0

This means that the given system of equations has no solution.

Answer:

Mean

Step-by-step explanation:

The three basic measures of central tendencies are mean, median and mode.

Mean can be described as the average value of a set of numbers or scores in a distribution.

One of the ways the mean can be calculated is by dividing the sum of the scores in a distribution by the number of scores in the distribution. This can be represented mathematically as follows:

Mean = Sum of the scores in a distribution / Number of scores in the distribution ........ (1)

Median is the middle number when the scores in a distribution is arranged in ascending or descending order.

Mode is the most frequent number or score in a distribution.

Out of the three basic measures of central tendencies only the mean will certainly change when there is a change in one of the scores. This is because, we can still have the same score as the most frequent and the same number as the median but the mean will change.

For example, we can prove that the mean will certainly change if we assume that the sum of the scores in a distribution is 200 and number of scores in the distribution is 10, wee can substitute this into equation (1) and have:

Mean = 200 / 10 = 20

Now, as given in the question, if the value of one score in the distribution is changed from X = 20 to X = 30. We can obtain the difference as follows:

Difference in score = 30 - 20 = 10

The new mean can be calculated as follows:

New mean = (200 + Diffrence in score) / 20 = (200 + 10) / 20 = 210 / 20 = 21

Therefore, the mean changed by 1 from 20 to 21. This therefore proves that the mean will certainly change.

Of the measures of central tendency, the measure which will certainly change is the mean.

Measures of central tendency include mean, median and mode of a distribution.

The mean refers to the average, hence, the a change in one value in the distribution would certainly change the mean of the distribution.

The mode refers to the highest occurring value in the distribution.

Median denotes the number at the middle of a distribution once it is arranged in order of magnitude.

For instance :

The mean = (2 + 2 + 10 + 15 + 20) / 5 = 49/5 = 9.8

Mode = 2 (highest occuring)

Median = 10 (middle value)

If X = 20 is changed to X = 30

The mean = (2 + 2 + 10 + 15 + 30) = 59/5 = 11.8

Mode = 2 (highest occuring)

Median = 10 (middle value)

Therefore, the measure which would certainly change is the mean.

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The solution for x in the equation x + 3x + 5 + 2 = ? is x = (? - 7) / 4.

We must first reduce the equation's left side in order to find the value of x in the formula x + 3x + 5 + 2 =?

x + 3x + 5 + 2 = 4x + 7

The formula for the equation is now 4x + 7 =? We must isolate x on one side of the equation in order to find its value. By taking 7 away from both sides, we can accomplish this:

4x + 7 - 7 = ? - 7

After examining the right side and simplifying the left, we arrive at:

4x = ? - 7

Now, we must split both sides by 4 in order to isolate x:

4x / 4 = (? - 7) / 4

After examining the right side and simplifying the left, we arrive at:

x = (? - 7) / 4

As a result, x = (? - 7) / 4 is the answer to the equation x + 3x + 5 + 2 =?

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Answer:

6 x 1/3 = 2

Step-by-step explanation:

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The expression shows the total amount in Diego's savings account after m months is 500 - 20m.

What is the total amount?

Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.

Here, we have

Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.

Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.

The expression:

= 500 - 20m

Here m is the number of months

Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.

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I will give you some intuitive remarks for some inspiration on the proofs.

For the first one, notice that if m divides n then n = pm where p is a integer.

Since n and m are both natural numbers p then must be a natural number as well.

Now we know that basically we want to prove that if a is congruent to b mod n then a is congruent to b mod "a factor of n" (this is cause n = pm).

Tell me if you need more clarification.

For the second proof, I would just draw a Venn diagram and prove that the two intersections cover identical regions.

The ball height is 0, when it hits the ground. So

So from the equation, -16t = 0 or (t - 6) =0.

Evaluate the value of t for the ball hit the ground.

OR

The ball height is 0 at t = 0 sec and at t = 6 sec.

The t = 0 sec represent the initial condition and t = 6 sec represents the time after which ball hit the ground again.

So answer is t = 6 seconds.

PART B.

Differentiate the equation and equate to 0 for maximum height.

For maximum height,

So part B answer is 3 sec

Answer:

Part A: 6 seconds

Part B: 3 seconds

Step-by-step explanation:

refer the above attachment

thankyou

10th is not visible

Answer:

1.30/49

2.1

Step-by-step explanation:

bye pinsan take care

Convenience sampling represents the sub-population of the sample strategies.

Convenience sampling is defined as a type of non-probability sampling that involves the sample being drawn from that part of the population that is close to hand and is a type of sampling that is most useful for pilot testing.

Convenience sampling can be used by almost anyone and has been around for generations. One of the reasons that it is most often used is due to the numerous advantages it provides

Expedited data collection, Ease of research, Ready availability, Cost-effectiveness.

Bias, Power is the disadvantages of convenience sampling.

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The half-life of the element is 13 minutes, which means after 13 minutes, any starting amount decays to half. So element X decays with a rate k such that

\(\dfrac12 = e^{13k}\)

Solve for k :

\(\ln\left(\dfrac12\right) = \ln\left(e^{13k}\right)\)

\(-\ln(2) = 13k \ln(e)\)

\(-\ln(2) = 13k\)

\(\implies k = -\dfrac{\ln(2)}{13}\)

Now, we solve for t such that

\(36 = 710e^{kt}\)

\(e^{kt} = \dfrac{18}{355}\)

\(\ln\left(e^{kt}\right) = \ln\left(\dfrac{18}{355}\right)\)

\(kt = \ln\left(\dfrac{18}{355}\right)\)

\(-\dfrac{\ln(2)}{13} t = \ln\left(\dfrac{18}{355}\right)\)

\(\implies t = -\dfrac{13 \ln\left(\frac{18}{355}\right)}{\ln(2)}\)

\(\implies t = -13 \log_2\left(\dfrac{18}{355}\right) \approx \boxed{55.9}\)

Figures 1 and 4 are similar because they can be translated and then reflected to correspond to each other.

A sort of transformation comprehended a translation involves moving each point in a figure the same distance in the same direction.

Reworking text from one language into another while preserving the original message and communication is called translation. But, there are various approaches to translation, and they range in both form and purpose, just like anything else.

An operation is a transformation if it moves, flips, or otherwise alters a figure to produce a new figure. Rigid transformations, sometimes referred to as isometry or congruence transformations, do not alter the size or shape of a figure.

Therefore, the correct answer is option D. Figures 1 and 4 are congruent because figure 1 can be mapped onto figure 4 by a reflection and then a translation.

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