Find the slope of the line passing through the 2 points (-7,8), (-4,3

When ΔKLM is dilated with a scale factor of 2 the new ΔK'L'M' has vertices K'(4,10), L'(8,4) and M'(4,4).

What is dilation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial shape should be stretched or contracted during a dilatation.

The ΔKLM has the coordinates of vertices - K(2,5), L(4,2) and M(2,2)

If the scale factor is 2, then every coordinate point of the original triangle is multiplied by the scale factor 2.

When the triangle is dilated with the scale factor of 2, the coordinate points formula becomes -

(x,y) → (2x,2y)

So, obtain the new triangle ΔK'L'M' -

K(2,5) → [2(2),2(5)] → K'(4,10)

L(4,2) → [2(4),2(2)] → L'(8,4)

M(2,2) → [2(2),2(2)] → M'(4,4)

The graph for the new coordinates have been ploted.

Therefore, the new coordinates are K'(4,10), L'(8,4) and M'(4,4).

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Answer:

The measure of ∠F is not determined by the information given, since the sum of the angles in △DEF is 180 degrees and we already know three of them.

Step-by-step explanation:

Since △ABC is congruent to △DEF by ASA, we know that:

AB = DE = 4.5 cm

m∠A = m∠D = 50 degrees

We can use the Law of Sines to find the other side lengths and angles of △ABC:

sin(73)/4.5 = sin(C)/b

b ≈ 5.269 cm

sin (50)/4.5 = sin(C)/5.269

m∠C ≈ 57 degrees

m∠B = 73 degrees

Therefore, in △ABC:

BC ≈ 5.269 cm

AC ≈ 2.571 cm

m∠C ≈ 57 degrees

In △DEF, we know that:

DE = AB = 4.5 cm

m∠D = m∠A = 50 degrees

By ASA congruence, we also know that m∠E = m∠B = 73 degrees.

Therefore, in △DEF:

EF ≈ 5.269 cm

DF ≈ 2.571 cm

m∠E ≈ 73 degrees

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Answer:

The miles per day are: 3 1/12.

Step-by-step explanation:

With  the information provided, in order to find the miles per day you have to divide the number of miles he walked by 3 that is the number of days:

9 1/4÷3

In order to solve this, first you have to convert the mixed number to an improper fraction by multiplying the denominator for the whole number, add the numerator and this would be divided by the denominator:

(4*9)+1/4

36+1/4

37/4

Now, you divide this by 3:

37/4÷3

37/(4*3)

37/12

You can conver this fraction into a mixed number by dividing 37 by 12. 12 goes into 37 three times which would be the whole number. Then, three times 12 is 36 and the remainder is 1. So, 1 would be the numerator and the denominator stays th same which is 12. The mixed number is: 3 1/12.

According to this, the answer is that the miles per day are: 3 1/12.

Answer:

Step-by-step explanation:

670,300,000 = 6.703 * 10⁸

Keep the decimal point after the first number from left and write the remaining numbers. Count the number of places after the decimal point and that will be the power of 10

The probability that Marshall wins a prize on his second spin =  0.1875

Consider an event X = the number of spins until Marshall wins a prize.

Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.

So, the sample space n = 4

For given event x, the possible outcomes = 1

Using the formula of probability,

p = x/n

p = 1/4

p = 0.25

So, the probability of success p = 0.25

q = 1 - p

q = 1 - 0.25

q = 0.75

To find the probability that Marshall wins a prize on his 2nd spin.

Using formula, \(P(X = k) = (1 - p)^{k-1}p\)

For  k = 2,

\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)

P(X = 2) = 0.75 × 0.25

P(X = 2) = 0.1875

Thus, the required probability is  0.1875

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The answer is d. 83,629.19 cm². To make 5 soccer balls with a diameter of 22 cm each, you would need approximately 83,629.19 cm² of material.

To calculate the surface area of a soccer ball, we need to determine the area of each of its components. A soccer ball is made up of 12 pentagonal panels and 20 hexagonal panels. Each pentagonal panel has an area of

(5 × side² × cot(π/5)) / 4,

while each hexagonal panel has an area of (3 × √3 × side²) / 2. By substituting the given diameter of 22 cm, we can calculate the side length of each panel. Then, by summing up the areas of all the panels and multiplying by 5 (the number of soccer balls), we arrive at the total material needed.

In this case, the calculation results in approximately 83,629.19 cm² of material, making option d the correct answer.

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A minimum sample size of 121 individuals needs to be surveyed, ensuring a rounded-up value to estimate the proportion of non-graduates within the 25 to 30 age group with a 10% margin of error and 90% confidence.

To determine the sample size required to estimate the proportion of non-graduates within the 25 to 30 age group with a certain level of confidence and margin of error, we can use the formula:

n = (Z^2 * p * (1 - p)) / E^2

Where:

n is the required sample size

Z is the Z-score corresponding to the desired confidence level (90% confidence corresponds to a Z-score of approximately 1.645)

p is the estimated proportion of non-graduates (0.21 based on the information provided)

E is the desired margin of error (10% or 0.10)

Substituting the values into the formula:

n = (1.645^2 * 0.21 * (1 - 0.21)) / 0.10^2

n ≈ 120.41

Rounding up to the nearest integer, the required sample size is 121.

Therefore, you would need to survey at least 121 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within 10% margin of error with 90% confidence.

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Square is consider as the king of all the quadrilaterals.

Explanation:

Square is consider as the king of all the quadrilaterals:

Therefore, square shape is consider as the king of all the quadrilaterals.

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Answer:405

Step-by-step explanation:

750/50=15

15*27=405

Answer:Add x to both sides of the equation.y=3+2x

Step-by-step explanation:

could y be 9 im lost

The most important statistic that is obtained through nasometry is the mean nasalance score. Nasometry is a measure of nasalance, which refers to the amount of sound energy that is transmitted through the nose during speech production.

This measure is obtained by comparing the acoustic energy of the sound produced by the mouth and the sound produced by the nose. The mean nasalance score provides information about the average amount of nasality in a person's speech, which can be useful in diagnosing and treating speech disorders such as cleft palate or velopharyngeal insufficiency. The other terms mentioned, such as fundamental frequency and range, are not directly related to nasometry or nasalance.

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Answer: Each woman sold her apples at the rate of seven apples for I¢, and 3¢ each for the odd ones which were left over. this made it possible for each to receive the same amount, which is 20¢.

Step-by-step explanation:

given data:

20,

40,

60,

80,

100,

120,

140.

solution.

first woman 20 apples

= 2 + 3 * 6¢.

= 20¢.

second woman 40 apples

= 5 + 5 * 3¢.

= 20¢.

third woman 60 apples

= 8 + 4 * 3¢.

= 20¢.

fourth woman 80 apples

= 11 + 3 * 3¢.

= 20¢.

fifth woman 100 apples

= 14 + 2 * 3¢.

= 20¢.

sixth woman 120 apples

= 17 + 1 * 3¢.

= 20¢.

seventh woman 140 apples

= 20 * 1¢.

= 20¢.

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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Answer:

y - 5

12x + 18y

Step-by-step explanation:

6) five less than y

y - 5

7) six times the quantity of two x plus 3 y

2x + 3y

six times the above exp

6(2x + 3y)

= 12x + 18y

(-1, -1) is not a solution of the system of equations 2x + y = 5 and x - y = -2

Solving the equation simultaneously using elimination method

2x + y = 5

x - y = -2

adding the equations results to

3x = 3

solving for x

x = 1

substituting to solve for y

x - y = -2

1 - y = -2

-y = -3

y = 3

The solution of the equation is (1, 3)

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9514 1404 393

Answer:

  B, C, D

Step-by-step explanation:

You can solve for x, or you can try x=3.5 to see if that makes the equation true. Here, we decided to solve for x.

A. x =(8×3 -3)/7 = 3

B. x = 15 -11.5 = 3.5

C. x = (34 -6)/8 = 3.5

D. x = 15.5 -12 = 3.5

E. x = 20 -15.5 = 4.5

Answer:

The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.

More texts were sent from 6 p.m.–8 p.m. than from 8 p.m.–10 p.m.

Step-by-step explanation:

From 6 a m to 8 a m there were 15 texts,

8 to10 a m: 5, 10 a m to 12 p m: 0,

12 p m to 2 p m: 0,

2 p m to 4 p m: 0,

4 to 6 p m: 29,

6 to 8 p m: 19,

8 to 9 p m, 14,

10 p m to 12 a m: 5.

Answer:

The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.

The peak from 4 p.m.–6 p.m. means that the highest number of texts was sent during this interval.

Step-by-step explanation:

IM DORA

Answer:

Step-by-step explanation:

9x2+23x

GIven:

To Determine: The equivalent of the given expression

Distributing the sign outside as shown below:

Hence, the equivalent expression by distributing the sign outside the given expression is:

8.4n+1

The Domain of the function is h∈R.

What is Domain?

  A function's domain is the collection of all potential inputs. For instance, all real numbers are in the domain of f(x)=x2, and all real numbers are in the domain of g(x)=1/x, with the exception of x=0. Special functions with more constrained domains can also be defined.

Here the given function is represent the cost of purchasing h hamburgers .

=> C(h)= $3.72h

Here the given function is linear function and we know that domain for all linear equation is set of all real numbers. Then , for given function domain is ,

=> h∈R

Hence the domain of the function is h ∈ R.

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Answer:

Hi! The answer to your question is D. 5.15 x \(10^{-6}\)

Step-by-step explanation:

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If the flourishing-flowers charges $60 for each standard "flower-arrangement", then the equation to represent the cost is "y = 60x + 125".

The number-of-arrangements be = "x",

The cost of flowers for x number of standard floral arrangements can be calculated as "sum" of "cost of each arrangement" and the "one-time delivery and set up fee".

The cost of each standard floral arrangement is given to be = $60, and The delivery and set-up fee is = $125,

The total cost of flowers for "x" arrangements can be expressed in equation as :

y = $60x + $125.

Therefore, the required equation is "y = 60x + 125".

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The question is not complete as the options are not correct. However, the correct answer is as follows:

Answer:

The correct answer is - the 9 in the tens place represents 1/10 times what the 9 to its left represents.

Step-by-step explanation:

Given:

Number:   9999.999

We know: The tenth value is 9999.999 (in bold) and 9 to its left is underlined which is the 100th value.

Solution:

Place value of 9 on the tenth place

= 9*10= 90 ..... 1

Left place of the tenth is hundredth

Place value of 9 at the hundredth place

=9*100

=900 .... 2

comparing 1 to 2 by dividing

= 90/900

= 1/10th

Using the surface area of a rectangular prism, we can conclude that the maximum width Jaxon can build the table is (D) w = 3.5 ft.

So, the maximum width can be:

Where, h = 2 feet and l = 4 feet.

(A) When, width = 8.3 feet

Hence, this option is not correct.

(B) When, width = 1.1 feet

Hence, we need to check more options as it is within the budget of $29.

(C) When, width = 7.2 feet

Hence, this option is not correct.

(D) When, width = 3.5 feet

Hence, this is the perfect option.

Therefore, using the surface area of a rectangular prism, we can conclude that the maximum width Jaxon can build the table is (D) w = 3.5 ft.

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Answer:

A. is the correct answer

Step-by-step explanation:

the answer is 27

Answer:

A. 25

Step-by-step explanation:

f(x)= 8x - 7

f(4)= 8*4 - 7= 25

f(4)= 25

The fraud triangle is a model that describes the three key factors that must be present for fraud to occur: opportunity, rationalization, and pressure.

These factors are often represented as the three sides of a triangle, with fraud being the result at the center.

Opportunity refers to the ability of an individual to commit fraud, either due to a lack of internal controls or the ability to override existing controls. Rationalization refers to the mental process by which an individual justifies the fraudulent behavior to themselves, often by convincing themselves that it is not really wrong or that they have a valid reason for doing it. Pressure refers to the external factors that motivate an individual to commit fraud, such as financial difficulties, job insecurity, or a desire to meet performance targets.

In summary, the fraud triangle indicates that all three conditions of opportunity, rationalization, and pressure must be present for fraud to be perpetrated.

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Answer:

linear, 264*2 = 528

Step-by-step explanation:

Answer:

the green and the yellow