Given the triangle ABC with the points A = ( - 1, 3 ) B = ( 2, 4 ) C = ( 4, 7 ) and it's dilation, triangle A'B'C', with points A' = ( - 3, 9 ) B' = ( 6, 12 ) C' = ( 12, 21 ) what is the scale factor?

Answer:

10,8,12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since there are 100 squares and you shaded 45 that is 45/100 which is equal to 45%

Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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Answer:

Center (7,2) and radius = 10

Step-by-step explanation:

Generally, we have the equation of a circle as follows;

(x-a)^2 + (y-b)^2 = r^2

where (a,b) represents the circle center and r represents the radius of the circle

Looking at the given equation of a circle, we have it that the center is (7,2) while the radius of the circle is 10

a) If each plant is required to reduce its pollution by 5,000 tonnes, we can calculate the pollution control costs for each firm using the given marginal cost curves. For Plant 1, MCC1 = 0.02Q, where Q represents the tonnes of pollution reduction. Similarly, for Plant 2, MCC2 = 0.03Q.

For both firms, since the pollution reduction is fixed at 5,000 tonnes, we substitute Q = 5,000 into the respective marginal cost curves:

MCC1 = 0.02 * 5,000 = $100

MCC2 = 0.03 * 5,000 = $150

Therefore, Plant 1's pollution control costs will be $100 and Plant 2's pollution control costs will be $150.

The graph for Plant 1 will have a linearly increasing slope starting from the origin, and the graph for Plant 2 will have a steeper linearly increasing slope starting from the origin.

b) With a pollution tax of $120 per tonne of pollution emitted, each firm's pollution reduction costs will be affected. The firms will now have to pay the pollution tax in addition to their pollution control costs.

Without considering taxes, Plant 1's pollution control costs were $100, and Plant 2's costs were $150 for a total of $250. However, with the pollution tax, the costs will change. Let's assume the firms still need to reduce their pollution by 5,000 tonnes.

For Plant 1: Pollution control costs = MCC1 * Q = 0.02 * 5,000 = $100 (same as before)

Total costs for Plant 1 = Pollution control costs + (Tax per tonne * Tonnes of pollution emitted)

Total costs for Plant 1 = $100 + ($120 * 5,000) = $610,000

Similarly, for Plant 2: Pollution control costs = MCC2 * Q = 0.03 * 5,000 = $150 (same as before)

Total costs for Plant 2 = Pollution control costs + (Tax per tonne * Tonnes of pollution emitted)

Total costs for Plant 2 = $150 + ($120 * 5,000) = $750,000

The total pollution reduction costs with the tax are now $610,000 for Plant 1 and $750,000 for Plant 2, resulting in higher costs compared to part a. This difference arises because the tax imposes an additional financial burden on the firms based on their emissions.

To support this answer, we can draw two graphs, one for each firm, with the tonnes of pollution emitted on the x-axis and the total costs on the y-axis. The graphs will show an increase in costs due to the tax.

c) In a tradable permit scheme where 6,000 permits are issued, with 3,000 permits to each plant, the pollution reduction costs to each firm without trading can be determined.

Since Plant 1 and Plant 2 each receive 3,000 permits, they can each emit up to 3,000 tonnes of pollution without incurring any additional costs. However, if they need to reduce their pollution beyond the allocated permits, they will have to incur pollution control costs as calculated in part a.

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The amount invested in bonds when total of 33,000 is being invested in a local bank is 13200.

Let the amount invested in bond = x

The amount invested in stocks is one half of the amount invested in bonds. This will be:

= 1.5 × x = 1.5x

Therefore, the expression will be:

Stock + Bond = 33000

1.5x + x = 33000

2.5x = 33000

Divide

x = 33000 / 2.5

x = 13200

The amount is 13200.

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The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

The difference between the retail and wholesale unit price is $ 0.99.

The retail price is the price that the item is sold for to the customer.

Here,

Coordinates extracted from the graph;

(4, 1)     (12, 3)

Equation of straight line (Whole sale price)

(y - y₁) = m(x - x₁)                  

where, m = (y₂-y₁)/(x₂-x₁)

then, m = (3-1) / (12-4)

            = 2/8

           = 1/4

Now,   (y - 1) = 1/4 (x - 4)

           4y - 4 = x - 4

            x = 4y

            x - 4y = 0

Now, whole sale price for 24 boxes; x = 24

           24 - 4y = 0

            4y = 24

             y = 24/4

             y = 6

The wholesale price = $ 6

The retail price = $ 6.99

The difference between retail and wholesale = Retail - Wholesale

                                                                            = 6.99 - 6

                                                                            = $ 0.99

Thus, the difference between the retail and wholesale unit price is $ 0.99.

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Answer:

what is the question?

Step-by-step explanation:

The value of x is 15

If two angles sum to 90 degrees, they are said to be complimentary angles. In other terms, a right angle is created when two complementary angles are combined (90 degrees). If the sum of angles 1 and 2 equals 90 degrees (i.e., angle 1 plus angle 2 = 90°), then the angles are complementary and are referred to as one another's complements.

∠1 and ∠2 are complementary angles i.e the sum of ∠1 and ∠2 is 90° .

Thus

∠1 + ∠2 = 90°

x° + (3x+30)° = 90°

x + 3x + 30 = 90

4x = 90-30

4x = 60

x = 15

Therefore the value of x is 15.

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Answer:

18.5

Step-by-step explanation:

A=60

C=62.8

\(B=\sqrt{62.8^{2}-60^{2} }\)

B=18.542

Answer:

27.2 is the answer ur welcome

Multiply the regular price ($1,049) by the Percent Discount (20%). To do this, multiply 1,049 by 0.2 :

1,049(0.2)=$209.8

After multiplying, you get the amount taken off by the discount. So you subtract the amount you got ($209.8) from the original amount ($1049) :

$1049-$209.8=$839.2

Now that you've calculated the discount price, you can calculate the sales tax. Make sure you do this part second, because it says to do so in the problem.

To calculate the sales tax, you do the same as above. Multiply your NEW cost ($839.2) by the sales tax (5.25%). The equation is:

$839.2(5.25%)=$44.058

Round $44.058 to $44.06. Since this is a Sales Tax, you add this on to your previous amount of $839.2

$839.2+$44.06=$883.26

The final cost of the computer is $883.26

Answer:

Total after discount $88.20

Step-by-step explanation:

I multiplied 126 by 30 and then divided the answer by 100 to get a $37.80 discount.

The exact prοbability οf there being exactly 70 accidents at the intersectiοn in οne year is apprοximately 0.00382.

Prοbability can be defined as ratiο οf number οf favοurable οutcοmes and tοtal number οutcοmes.

(a) Tο find the exact prοbability that there wοuld be exactly 70 accidents at the intersectiοn in οne year, we can use the Pοissοn distributiοn fοrmula:

P(X = k) =( \(e^{(-λ)\) * \(λ^k\)) / k!

where X is the number of accidents, λ is the average rate of accidents per week (1.4), and k is the number of accidents we're interested in (70).

To find the probability of 70 accidents in one year, we need to adjust the value of λ to reflect the rate over a full year instead of just one week. Since there are 52 weeks in a year, the rate of accidents over a year would be 52 * λ = 72.8.

So, we have:

P(X = 70) = (\(e^{(-72.8)\)* \(72.8^(70)\)) / 70!

Using a calculatοr οr sοftware, we can evaluate this expressiοn and find that:

P(X = 70) ≈ 0.00382

Therefοre, the exact prοbability οf there being exactly 70 accidents at the intersectiοn in οne year is apprοximately 0.00382.

(b) Tο use the nοrmal distributiοn as an apprοximatiοn, we need tο assume that the Pοissοn distributiοn can be apprοximated by a nοrmal distributiοn with the same mean and variance. Fοr a Pοissοn distributiοn, the mean and variance are bοth equal tο λ, sο we have:

mean = λ = 1.4

variance = λ = 1.4

Tο use the nοrmal apprοximatiοn, we need tο standardize the Pοissοn randοm variable X by subtracting the mean and dividing by the square rοοt οf the variance:

\(Z = (X - mean) / \sqrt{(variance)\)

Fοr X = 70, we have:

Z = (70 - 1.4) / \(\sqrt{(1.4)\) ≈ 57.09

We can then use a standard nοrmal table οr calculatοr tο find the prοbability that a standard nοrmal randοm variable is greater than οr equal tο 57.09. This prοbability is extremely small and practically 0, indicating that the nοrmal apprοximatiοn is nοt very accurate fοr this particular case.

Therefοre, the exact prοbability οf there being exactly 70 accidents at the intersectiοn in οne year is apprοximately 0.00382.

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The approximation using the normal distribution gives a probability of approximately 0.3300 that there would be exactly 70 accidents at this intersection in one year.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

(a) Using the Poisson distribution, the probability of exactly 70 accidents at this intersection in one year (i.e., 52 weeks) is:

P(X = 70) = (e^(-λ) * λ^x) / x!

where λ = average rate of accidents per week = 1.4

and x = number of accidents in 52 weeks = 70

Therefore, P(X = 70) = (e^(-1.4) * 1.4^70) / 70! ≈ 3.33 x 10^-23

(b) We can use the normal approximation to the Poisson distribution to approximate the probability that there would be exactly 70 accidents at this intersection in one year. The mean of the Poisson distribution is λ = 1.4 accidents per week, and the variance is also λ, so the standard deviation is √λ.

To use the normal distribution approximation, we need to standardize the Poisson distribution by subtracting the mean and dividing by the standard deviation:

z = (x - μ) / σ

where x = 70, μ = 1.452 = 72.8, σ = √(1.452) ≈ 6.37

Now we can use the standard normal distribution table to find the probability that z is less than or equal to a certain value, which corresponds to the probability that there would be exactly 70 accidents at this intersection in one year:

P(X = 70) ≈ P((X-μ)/σ ≤ (70-72.8)/6.37)

≈ P(Z ≤ -0.44)

≈ 0.3300

Therefore, the approximation using the normal distribution gives a probability of approximately 0.3300 that there would be exactly 70 accidents at this intersection in one year.

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Answer:

just look that up and walla insta answer

MY WORK:

First, you would cut it up into different parts/shapes

(I cut it up into rectangles)

Then, you would find the area of each.

The bottom rectangle: 10 ( 5 times 2 )

The middle rectangle: 12 ( 6 times 2 )

The top rectangle: 8 ( 4 times 2 )

Lastly, you would add!

10 + 12 + 8 = 30

Therefore, the answer is...

30!

My apologies if this is wrong but I hope I helped a little bit!

The degree of the polynomial is 3.

Here we are given a polynomial 7\(x^{3}\) + 3\(x^{2}\) - 15x - 5 which represents the dimensions of a TV.

There are 4 terms in the polynomial. Let us evaluate each term one by one.

1. 7\(x^{3}\) - the degree of this term is 3 since the power of x is 3

2. 3\(x^{2}\) - the degree of this term is 2 since the power of x is 2

3. -15x - the degree of this term is 1 since the power of x is 1

4. -5 - this is a constant term and hence its degree is 0.

The degree of a polynomial is the degree of the term with highest power in the polynomial. In this case, the 1st term, that is, 7\(x^{3}\) has the highest power and hence the degree of 7\(x^{3}\) will be the degree of the polynomial.

Thus, the degree of the polynomial is 3.

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Answer:

11

Step-by-step explanation:

80 /7=11.428

so each gets 11 so 77 so u do 80-77=3 so u would have 3 left over

a) To determine the molar flux of species A at the surface of the sphere, we can use Fick's first law of diffusion. According to Fick's first law, the molar flux (J) of a species is equal to the product of its diffusivity (D) and the concentration gradient (∇c).

In this case, species A diffuses radially outwards from the sphere, so the concentration gradient can be expressed as ∇c = (c - XAO)/ro, where c is the total molar concentration and XAO is the mole fraction of species A at the surface of the sphere.
Therefore, the molar flux of species A at the surface of the sphere (JAO) can be calculated as:
JAO = -DAB * ∇c
   = -DAB * (c - XAO)/ro

b) If the distance at which the mole fraction of species A is considered to be effectively zero is located at 100ro instead of 10ro, there would be a significant change in the molar flux of species A.

The molar flux is directly proportional to the concentration gradient. In this case, the concentration gradient (∇c) is given by (c - XAO)/ro. If the mole fraction of A at 100ro is effectively zero, then XA100ro = 0. Therefore, the concentration gradient at 100ro (∇c100ro) would be (c - 0)/100ro = c/100ro.

Comparing this with the original concentration gradient (∇c = (c - XAO)/ro), we can see that the concentration gradient at 100ro (∇c100ro) is much smaller than the original concentration gradient (∇c). As a result, the molar flux at the surface of the sphere (JAO) would be significantly smaller if the distance at which the mole fraction is considered to be effectively zero is located at 100ro instead of 10ro.

In conclusion, changing the distance at which the mole fraction is considered to be effectively zero from 10ro to 100ro would result in a large decrease in the molar flux of species A at the surface of the sphere. This is because the concentration gradient would be much smaller, leading to a lower rate of diffusion.

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The simple interest equation for this problem is given as follows:

A = 500 + 10t.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

The parameter values for this problem are given as follows:

P = 500, r = 0.02.

Hence the equation is given as follows:

A = 500(1 + 0.02t)

A = 500 + 10t.

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The value of x is 51. Vertical angles are the pair of non-adjacent angles formed by two intersecting lines. These angles are congruent, i.e., they have equal measures.

Given that ∠A and ∠B are vertical angles. Therefore, we have:

m∠A = m∠B

We are also given that:

m∠� = (2x − 26)°

m∠� = (x + 25)°

Equating both expressions for m∠�, we get:

(2x − 26)° = (x + 25)°

Simplifying and solving for x, we get:

2x − 26 = x + 25

x = 51

Therefore, the value of x is 51.

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tutot is off for 30 +

Answer:

262144

Step-by-step explanation:

The sequence increases by a multiple of -4

Therefore, you can either do 4⁹ or you can multiply by -4 until you have done that 9 times

Answer:

x=73

Step-by-step explanation:

101+(x-35)+(3x+2)=360

4x+68=360

4x=292

x=73

The code sorts the skill array in ascending order.

It then creates a HashMap to store the number of occurrences of each skill level. The left and right pointers are initialized to point to the first and last elements of the skill array. The result variable is used to store the sum of the effectiveness of all teams that can be created. The code then iterates through the skill array using the left and right pointers. If both pointers point to skills that have more than one occurrence, then two of each skill are used to create the team, and effectiveness is added to the result.

If only one pointer points to a skill with more than one occurrence, then one instance of that skill is paired with one instance of the other skill to form a team. Otherwise, if both pointers point to skills that have only one occurrence, then one instance of each skill is used to create the team. In any case, when a team is created, the HashMap is updated accordingly.

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Answer: 8:05

Step-by-step explanation:

Answer: 8:05

Step-by-step explanation:

A total of 24 boxes of paper were shipped weighing 1410 pounds altogether, the system of equations are  X + Y =  24, and 45X + 75Y  = 1410 and the variables that you use to write the system X = 13 and Y = 11.

The primary unit of sterling is the pound (sign: £), while the term "pound" is also frequently used to refer to the British pound or pound sterling in foreign settings.

The oldest currency that is still in the circulation and has been used continuously since its origin is sterling. After US dollar, euro, and Japanese yen, it is currently fourth most traded currency on the foreign exchange market. It makes up basket of currencies used to determine the value of IMF special drawing rights along with the other three currencies and the renminbi. Sterling is also fourth-most-held reserve currency in the world's reserves as of mid-2021.

Let X equal  number of small boxes

Let Y equal number of big boxes

The first equation is:  X + Y =  24     ( this shows that total number of boxes = 24)

The second equation is:    45X + 75Y  = 1410    ( this is because small box weighs 24 pounds and big box weighs 75 pounds.  The total weight of small boxes is 45 times weight of each individual box. And the total weight of second boxes is equal to 75Y.  

When you solve system,  X = 13 and Y = 11

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The graph of exponential function, is described below.

What is an exponential function?

The mathematical formula f(x) = e^x stands for the exponential function. The term, unless specifically stated otherwise, generally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.

The formula for an exponential growth function is y = ab^x, where a > 0 and b > 1. As can be seen in the example of f(x) = 2x below, the graph will ascend. The numbers get smaller as x gets closer to negative infinity, as you can see.

If b > 1 , then the graph's slope is positive and exponential growth is depicted. The value of y approaches infinity as x rises. The value of y approaches zero as x falls.

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Answer:

5/26

Step-by-step explanation:

Multiply both sides by 8

6x + 5 = 32x

26x = 5

x = 5/26

Answer:

x = 26/5

Step-by-step explanation:

²⁾3x/4 + 5/8 = ⁸⁾4x

6x + 5 = 32x

5 = 32x - 6x

5 = 26x

x = 26/5

Answer: Where is the triangle?

Step-by-step explanation: Brainliest pls:)

Answer:

X = 5

Step-by-step explanation:

suppose that angle TSU is y so

23x+5+y = 180

23x+y = 175

now again in traingle TSU

55+14x-5+y = 180

x = 130-y /14

substitute the value of x in 1st equation

ans will be 5

Answer:

x = 6.111

Step-by-step explanation:

The supplement of <AST = 180 - (23x - 5) That supplement is inside the triangle.

Solution

Add the three angles together to get 180

180-(23x - 5) + 14x-5 + 55 = 180         Remove the brackets

180 - 23x + 5 + 14x - 5 + 55 = 180      Combine

-9x + 55 + 180 = 180                        Subtract 180 from both sides.

-9x + 55 = 0                                     Subtract 55 from both sides

-9x = - 55                                         Divide by -9

x = -55/-9

x = 6.111

Check

180 - (23*6.111 - 5) + 14*6.111 - 5 + 55= 180

180 - 140.555 + 5 + 85.555 -5  + 55 = 180

39.445 + 85.555 + 55 = 180

180 = 180