Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three eighths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.

A′(−1.5, 2.25), B′(−0.75, 0.75), C′(1.5, −0.75), D′(1.5, 1.5)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(0.75, −1.25), B′(1.6, −1.6), C′(−1.25, 1.6), D′(−0.075, −0.75)
A′(1.27, −3), B′(3.2, −3.2), C′(−0.75, 3), D′(3, 3)

Commitment to goals can be promoted in through:

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain outcomes, are significant. Commitment helps you stick to your goals in both good and bad times, when obstacles arise. Commitment is influenced by two factors: importance and

Goal commitment is generally defined as an individual's determination to devote time and effort to achieving a goal.

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain.

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Answer:

103

Step-by-step explanation:

Hope this Helps :)

Answer:

its c for sure, its obvious

After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

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The required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.  

The relative frequency of the data is the ratio of the given frequency to the total frequency in the observation.

From the given data,

Relative frequency = given frequency / total frequency

Where total frequency = 0.04 + 0.4 + 0.12 + 0.24 + 0.2 = 1

Value     Relative frequency       Cumulative frequency

3                 0.04/1 = 0.04                  0.04    

4                 0.4/1 = 0.4                    0.04 + 0.4 = 0.44  

5                    0.12                           0.44 + 0.12 = 0.56

6                   0.24                           0.56 + 0.24 = 0.80  

7                     0.2                            0.80 + 0.2 = 1

Thus the required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.  

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Answer: 3:4

Step-by-step explanation:

Answer:

hope it becomes helpful to you ☺️☺️

good luck

The small does 2 1/2 for 1/4 of the large. Multiply by 4 to get a full rotation of the large one:

2 1/2 x 4 = 10

answer: D. 10

Answer:

E(x) = 1.43 (Approx)

Step-by-step explanation:

Given:

Total number of camera = 7

Defective camera = 5

Sample selected = 2

Computation:

when x = 0

P(x=0) = 2/7 × 1/6 = 2/42

P(x=1) = [2/7 × 5/6] + [5/7 × 2/6] = 20/42

P(x=2) = 5/7 × 4/6 = 20/42

So,

E(x) = [0×2/42] + [1×20/42] + [2×20/42]

E(x) = 1.43 (Approx)

Answer:

(-7,-5)

Step-by-step explanation:

mid point formula is (x1+ X2 /2 , y1 +y2/2 )

so equate -6 to -5 +X2/2 you get X2 to be -7 while equate 1 to 7 +y2 /2 you get y2 to be -5 so that are the co ordinates of B are(-7,-5). Thank you

The midpoint of a line segment means a point that lies in the mid of the given line segment. The coordinates of point B are (-7,-5).

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment. Suppose we've two endpoints of a line segment:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

\(x = \dfrac{p+m}{2}\)

and

\(y = \dfrac{q+n}{2}\)

Given that the midpoint of AB is M whose coordinates can be written as,

The x-coordinate of point B,

\(x_m = \dfrac{(x_A + x_B)}{2}\)

\(-6 = \dfrac{(-5 + x_B)}{2}\)

-12 = -5 + x

x = -12 + 5

x = -7

The y-coordinate of point B,

\(y_m = \dfrac{(y_A + y_B)}{2}\)

\(1 = \dfrac{(7 + y_B)}{2}\)

2 = 7 + y

y = 2 - 7

y = -5

Hence, the coordinates of point B are (-7,-5).

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The probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as 0.5.

The probability of an event is a number that indicates how likely the event is to occur.

It is expressed as a number in the range from 0 and 1 or it can be expressed using percentage notation, in the range from 0% to 100%

Given is that the probability of a randomely selected fertilized egg will take 21 days to hatch is 0.028.

We can write the probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as -

P{E} = {0.028 + (1 - 0.028)}/2

P{E} =  1/2

P{E} = 0.5

Therefore, the probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as 0.5.

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The sample variance and standard deviation are given as follows:

Variance = 87.22 %.

Standard deviation = 9.34%.

To obtain the variance and the standard deviation first, we must obtain the mean, which is given by the sum of all observations divided by the number of observations, hence:

Mean = (77.1 + 82.9 + 90 + 91.3 + 81.9 + 83.3 + 84.9 + 82.5 + 84.6)/10

Mean = 75.85.

Then we must obtain the sum of the differences squared between each observation and the mean, as follows:

(77.1 - 75.85)² + (82.9 - 75.85)² + (90 - 75.85)² + (91.3 - 75.85)² + (81.9 - 75.85)² + (83.3 - 75.85)² + (84.9 - 75.85)² + (82.5 - 75.85)² + (84.6 - 75.85)² = 784.9825

The sample variance is given by the above sum divided by one less than the sample size, hence:

Variance = 784.9825/9

Variance = 87.22 %.

The standard deviation is the square root of the variance, hence:

Standard deviation = sqrt(87.22)

Standard deviation = 9.34%.

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The angle of rotation for the described transformation is

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

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Answer:

8500

Step-by-step explanation:

When compounded continuously the future value,  FV , of your initial investment,  PV , is determined with the the equation

\(FW = PV\) ×\(e^{rxt}\)

where  r  is the norminal interest rate, expressed as a decimal, and  t  is the investment period in years.

Plugin the values in this equation gives

\(FW = $7,500\) × \(e^{0.015x8} =$8,456.23\)

Round to nearest hundred dollars = 8500

Answer:

Where's the question please? You only sent a statement.

Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.

Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.

Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.

Since NP and QS are parallel lines, we have:

∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)

Also, the alternate interior angles NOM and POM are equal, so:

∠NOM = ∠POM

Substituting this into the first equation gives:

∠POM + ∠MOP = 180°

We can now solve for ∠POM by substituting the given value:

130° + ∠POM = 180°

∠POM = 50°

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The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

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Hi there !

A truck is carrying 3 tons of cement and 150 pounds of bricks. How many pounds does the truck's load weigh in total?

3 tons + 150 pounds = ... pounds

We know 1 kg = 2 pounds

1 tons = 1.000 × 2 pounds

1 tons = 2.000 pounds

Truck is carrying 3 tons of cement

3 × 2.000 pounds

6.000 pounds

Ads up 6.000 pounds to 150 pounds

6.000 pounds + 150 pounds

6.150 pounds

Total truck's load is 6.150 pounds

___________________________

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

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

As per given drawing PQ is the segment bisector of XY.

The point W is the midpoint of XY. As per property of midpoint, XW and WY have equal length.

XW = 13 units, hence:

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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Answer: 10w

Step-by-step explanation:

Answer:

57327392393629324

Step-by-step explanation:

Answer:

\(P(t) = 1460(1.06)^t\)

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for a population after t years is given by:

\(P(t) = P(0)(1+r)^t\)

In which P(0) is the initial population and r is the growth rate, as a decimal.

Currently, there are 1,460 wolves in Scataway National Park.

This means that \(P(0) = 1460\)

Growing at a rate of 6% every year:

This means that \(r = 0.06\). So

\(P(t) = P(0)(1+r)^t\)

\(P(t) = 1460(1+0.06)^t\)

\(P(t) = 1460(1.06)^t\)

Answer:

Step-by-step explanation:

Answer:

2/3 divided by 4 = .16

Step-by-step explanation:

This problem is pretty simple. Since we cannot divide this we can change the division sign into a multiplication, but to do this we need to also take the reciprocal of 2/3, which means we flip th number so it becomes 3/2. Now we can simply multiply. (1/4)*(3/2) which should give you 3/8

x>1

below is the graph.

any questions in the comments:

The solution to the algebraic problem is \(x^{2}\)

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

(\(x^{3}\) – 1) = (x+2)

On dividing (\(x^{3} - 1\)) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

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Answer: $9,000

Step-by-step explanation:

First calculate the total dividends that Company Y plans to pay.

= 12,000,000 * 15%

= $1,800,000

Then calculate the amount that Mutual fund X will get.

They own 0.5% of the total stock of Company Y so they will get;

= 0.5% * 1,800,000

= $9,000