suppose a triangle with the vertices a(-2,4)b (-1,-3) and c (4,-2) were dilated with the center of dilation at the origin and with a scale factor of 2.5 what will be the ordinates be for c'

Answer:

hope this is correct

1) 140

2) T2 = ?

3) $13,786.40

4) $835.88

5) x = 3, y=(0, 1.5)

1) To find the number of pounds of grass seed needed to cover an area of 140,000 ft2, you need to write a proportion and solve it. Set up the proportion using the given information:

20 lb/10,000 ft2 = x lb/140,000 ft2

To solve for x, multiply both sides of the equation by 140000:

20 lb * 140000/10,000 ft2 = x lb

x = 2800 lb

You will need 2800 lbs of grass seed to cover an area of 140,000 ft2. To find out how many whole bags of seed you will need to buy, divide the total number of pounds by the number of pounds in a bag, which is 20 lbs. You will need to buy 140 whole bags of seed.

2) To solve for T2 in the equation ???????????????? ???????? = ???????????????? ????????, divide both sides of the equation by ???????????????? :

T2 = ???????????????? ????????/????????????????

3) To find the cost of the car before the sales tax, subtract the 5% sales tax from the total cost. The formula is:

Cost before tax = Total Cost - (Total Cost * Sales Tax %)

Cost before tax = $14,512 - ($14,512 * 0.05) = $13,786.40

4) To find the list price of the laptop computer, add the 15% off sale to the sale price. The formula is:

List Price = Sale Price + (Sale Price * Discount %)

List Price = $722.50 + ($722.50 * 0.15) = $835.88

5) The x and y intercepts for the equation 3x + 6y = 9 can be found by setting x or y equal to 0 and solving for the other. To find the x intercept, set y = 0:

3x + 6(0) = 9

3x = 9

x = 3

The x intercept is (3, 0). To find the y intercept, set x = 0:

3(0) + 6y = 9

6y = 9

y = 1.5

The y intercept is (0, 1.5).

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Answer:

17

Step-by-step explanation:

\(perimeter = 2(length + breadth) \\ breadth = (perimeter \div 2) - length\)

\(72 \div 2 = 36 \\ 36 - 19 = 17\)

Answer:

y is 17 mm

Step-by-step explanation:

perimeter formula is p= 2l +2w

19 is width

19+19 = 38

72-38=34

34/2= 17

17 is length

I hope it is right:)

Answer:

game c

Step-by-step explanation:

because the slope went up more on level 2 during game c then any other game

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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The number of peanuts that Alex had initially will compute to a total of 108 in the observations of the situation provided above.

The computation of the peanuts in the hands of Alex can easily be ascertained using the given information, and input of values from the same into the generalized formula, as shown below,

Let p be the number of peanuts. Thus, it can be stated that

3p = 444 – 9 – 25 – 5

3p = 409

p = 409/3 = 135.3

Now, it can also be stated that

p+9=144

\(\[\dfrac{144}{k} + 144 + k \cdot 144 = 444 \\\\ \\\dfrac{144}{k} + k \cdot 144 = 300\\\\ \\ \dfrac{12}{k} + k \cdot 12 = 25\\\\\\k= \dfrac{4}{3} \\\\\\\\ \dfrac {144\cdot 3}{4} =108}\]\)

Therefore, Alex has a total of 108 peanuts initially.

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Complete question

Initially, Alex, Betty, and Charlie had a total of 444 peanuts. Charlie had the most peanuts, and Alex had the least. The three numbers of peanuts that each person had formed a geometric progression. Alex eats 5 of his peanuts, Betty eats 9 of her peanuts, and Charlie eats 25 of his peanuts. Now, the three numbers of peanuts each person has forms an arithmetic progression. Find the number of peanuts Alex had initially.

Answer:

6

Step-by-step explanation:

3x-7=11

3x-7=113x=11+7

3x-7=113x=11+73x=18

3x-7=113x=11+73x=183x/3=18/3

3x-7=113x=11+73x=183x/3=18/3 X=6

The only statements that is false is A. I only: 1. We use one-sample procedures when our samples are equal in size but aren't independent.

A one-sample procedure is used when we want to compare a sample mean to a known population mean or when we want to estimate a population mean using a sample mean. In a one-sample procedure, the sample is selected independently and is typically assumed to be random. So, independence of the sample is a requirement for one-sample procedure.

While statement II and III are true.

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Answer:

5x+15 = 8 -2x

Explanation:

The amount invested in the account that has a rate of 14% is $1767

The amount invested in the account that has a rate of 6% is $1425.

0.06a + 0.14b = 342 equation 1

b - a = $950 equation 2

Where:

a = amount invested in the account that has a rate of 6%

b =  = amount invested in the account that has a rate of 14%

Multiply equation 2 by 0.06

0.06b - 0.06a = 57 equation 3

Subtract equation 3 from equation 2

285 = 0.2a

a = 285 / 0.2

a = 1425

Substitute for a in equation 2

b - 1425 = 342

b = 1425 + 342

b = $1767

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This is a classic proof of the Pythagorean Theorem!

Pythagorean theorem is a^2 + b^2 = c^2. With a square, its area is its side length squared. Therefore, if we think about this as squares, then the sum of the area of square X and square Y will be equal to the sum of square Z.

Looking at your answer choices, the best option is C - The number of tiles needed to cover Region Z is the same number of tiles needed to cover both Region X and Region Y.

Hope this helps!! :)

Answer:

17/22,22/37,7/15,5/17

Step-by-step explanation:

At first, let us find the measure of angle B

The sum of angles of a triangle is 180 degrees

Subtract 123 from both sides to fin m < B

Now, let us use the sin rule

Since b = 42, then

By using cross multiplication

Divide both sides by sin 57

Do the same to find c

By using cross multiplication

Divide both sides by sin 57

Answer:

75 miles- 3 gallons

Step-by-step explanation:

What is the gallons for 50 miles? It doesn't say...

Answer:

53.89%

Step-by-step explanation:

total no. obtainable = 80 + 100 = 180

total scores acquired = 22 + 75 = 97

percentage = (total acquired/total possible) × 100

= (97/180) × 100

= 53.89 %

Answer:

Law of Sines

Step-by-step explanation:

You know two angles (∠P and ∠R) and the opposite side of ∠P (p).

Answer:

Law of Sines, two angles and an opposite side are known

Step-by-step explanation:

We know that...

In order to use the Law of Sines:

In order to use the Law of Cosines:

So now we know that there are 2 angles and an opposite side given. So that leads us to the answer: Law of Sines, two angles and an opposite side are known.

Answer:

50 is sum of gcf its couldn't of 19 is 20

Answer:

Begin by finding the area of the square, 24x22. This would equal 528. Then, we need to find the area of each circle using the area formula, \(\pi\)\(r^{2}\). We can plug in the numbers to get \(\pi\)\(3^{2}\). Multiply 3x3 to get 9\(\pi\). Because there are 4 circular burners, we need to multiply 9\(\pi\) by 4 to get 36\(\pi\) or 113.04. Now, we can subtract 528 with 113.04 to result with 414.96 or 415, when rounded. So, the answer would be 415 \(in.^{2}\)

To solve the inequality −3|n - 5| ≥ 24, we can break it down into two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: n - 5 ≥ 0

In this case, the absolute value becomes n - 5, so we have:

-3(n - 5) ≥ 24

Simplifying the inequality gives:

-3n + 15 ≥ 24

-3n ≥ 9

Dividing both sides by -3 (and flipping the inequality sign):

n ≤ -3

Case 2: n - 5 < 0

In this case, the absolute value becomes -(n - 5), so we have:

-3(-(n - 5)) ≥ 24

Simplifying the inequality gives:

3n - 15 ≥ 24

3n ≥ 39

Dividing both sides by 3:

n ≥ 13

Combining the solutions from both cases, we find that the solution to the inequality is n ≤ -3 or n ≥ 13. This means n can be any value less than or equal to -3 or any value greater than or equal to 13.

As for the graph representing the solution, it would be a number line with a closed circle at -3 (indicating that it includes -3) and an open circle at 13 (indicating that it does not include 13). The area between -3 and 13 is shaded to represent the values that satisfy the inequality.

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Answer: 10

Step-by-step explanation:

By the geometric mean theorem,

\(\frac{BD}{5}=\frac{20}{BD}\\\\(BD)^2 = 100\\\\BD=10\)

The length of side BD, given that AD = 5 and CD = 20 is 10 (Option A)

Since the triangles are similar, we can obtain the length of side BD as illustrated below:

CD / BD = BD / AD

20 / BD = BD / 5

Cross multiply

BD × BD = 20 × 5

BD² = 100

Take the square root of both sides

BD = √100

BD = 10

Thus, the length of side BD is 10

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Answer:

(x+4)² + (y-6)² = 81

Step-by-step explanation:

General equation of a circle : (x-h)² + (y-k)² = r²

where (h,k) is at center and r = radius

Here we are given that the circle has a center at (-4,6) and a radius of 9

So we have (h,k) = (-4,6) so h = -4 and k = 6 and radius = 9 so r = 9

Plugging in values into general equation

Recall that the general equation of a circle is (x-h)² + (y-k)² = r²

we have h = -4 , k = 6 and r = 9

==> plug in values

doing so we acquire (x-(-4))² + (y-6)² = 9²

==> apply double negative sign rule

(x+4)² + (y-6)² = 9²

==> evaluate exponent

(x+4)² + (y-6)² = 81

And we are done!

The likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a sample from that population is the statistical significance

Answer:

-6/5

Step-by-step explanation:

The slope is (4 - (-2)) / (-1 - 4) = (4 + 2) / (-5) = 6 / -5 = -6/5.

Answer:

-6/5

Step-by-step explanation:

We can find the slope by using the slope formula

m = (y2-y1)/(x2-x1)

    = (4 - -2)/(-1 -4)

   = (4+2)/ ( -1-4)

   =-6/5

Answer:

180

Step-by-step explanation:

Answer:

I don't know

Step-by-step explanation:

I am confused as well someone please help

Answer:

5.5

Step-by-step explanation:

n-2÷7=2

n-3.5=2

n=2+3.5

n=5.5

Answer:

n = 16  ≅ 2.29

     7

Step-by-step explanation:

n - 2 ÷ 7 = 2

n - 2 = 14

n = 14 + 2

      7      7

n = 16

     7

Therefore, if there were 40 dogs and the ratio stayed the same, there would be 120 cats at the pet daycare.

If the ratio of dogs to cats stays the same, then the ratio of dogs to cats in the two situations will be equal.

The initial ratio of dogs to cats is:

dogs : cats = 20 : 60

= 1 : 3

To maintain the same ratio, the new number of cats (C) can be found by setting up the proportion:

dogs : cats = 40 : C

Using the initial ratio of dogs to cats, we can substitute and simplify:

1 : 3 = 40 : C

Cross-multiplying gives:

C = (3 x 40) / 1

= 120

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We can say that out of the 80 music lovers surveyed, 28 people like modern songs only.

Let x be the number of people who like both modern and folk songs. Then, the number of people who like modern songs only is given by:

Number of people who like modern songs only = Total number of people who like modern songs - Number of people who like both modern and folk songs

Number of people who like modern songs only = 40 - x

Now, we need to find the value of x. We know that 30% of the 40 people who like modern songs do not like folk songs. This means that:

Number of people who like modern songs and do not like folk songs = 30% of 40

Number of people who like modern songs and do not like folk songs = 0.3 x 40

Number of people who like modern songs and do not like folk songs = 12

We can now use the unitary method to find the value of x. We know that the ratio of people who like both modern and folk songs to the total number of people who like modern songs is 12:40, which can be simplified to 3:10.

Using the unitary method, we can say that:

3/10 = x/40

x = (3/10) x 40

x = 12

Therefore, the number of people who like modern songs only is:

Number of people who like modern songs only = 40 - x

Number of people who like modern songs only = 40 - 12

Number of people who like modern songs only = 28

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About 4.01% of the test scores in the normal distribution that are greater than 90

An equation is an expression that shows the relationship between two or more number and variables.

Z score is given by:

z = (raw score - mean) / standard deviation

Given that mean score is 76, and the standard deviation is 8.

For x > 90:

z = (90 - 76) / 8 = 1.75

P(z > 1.75) = 1 - P(z < 1.75) = 1 -  0.9599 = 0.0401

About 4.01% of the test scores in the normal distribution that are greater than 90

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Given:

Purchasing price of stock = $3400

Selling price of stock = $4100

To find:

The capital gain.

Solution:

We know that, assets increase their values with respect to time and capital gain is the profit earned on sale of those assets.

Capital gain = Selling price - Purchasing price

                    = $4100 - $3400

                    = $700

Therefore, the capital gain is $700.