f(x) = 3x + 5
g(x) = 4x² - 2
h(x) = x²-3x+1
Find f(x) + g(x) - h(x).
O 3x² + 6x + 2
-O 3x²+2
O 6x2² +6x-1
O 5x² +4

The surface area of the composite figure is given as follows:

446 cm².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

The figure is this problem is given by the composition of two rectangular prisms, with dimensions given as follows:

Hence the surface area is given as follows:

S = 2 x (5 x 10 + 5 x 7 + 10 x 7) + 2 x (8 x 4 + 8 x 3 + 4 x 3)

S = 446 cm².

The prism is given by the image presented at the end of the answer.

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Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1). Then the correct option is B.

Given that:

P(Player 1) = 4/7 = 0.57

P(Player 2) = 5/8 = 0.625

P(Player 3) = 3/6 = 0.50

The probabilities are arranged in ascending order as,

P(Player 3) < P(Player 1) < P(Player 2)

Player 2 is more likely to hit the ball than Player 1 and Player 1 is more likely to hit the ball than Player 3.

Thus, the correct option is B.

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When multiplying the same number is raised to different exponents add the exponents together:

332^-6 x 332^3 = 332^(-6 +3) = 332^-3

Then when a number is raised to a negative exponent, change the exponent to a positive value and make the number a fraction, as the denominator, with 1 as the numerator:

332^-3 = 1/332^3

1/332^3 = 1/36594368

The numerical value of side RS of the rectangle with a perimeter of 144 units is 30 units.

A rectangle is simply a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

The perimeter of a rectangle is expressed as;

P = 2( l + w )

Given the data in the question;

First we determine the value of the variable z, plug the given values into the perimeter formula and solve for z.

P = 2( l + w )

144 = 2( (4z + 2 ) + (3z) )

144 = 2( 4z + 2+ 3z )

144 = 2( 7z + 2 )

144 = 14z + 4

14z = 144 - 4

14z = 140

z = 140/14

z = 10

Now, find the numerical value of side RS.

Width RS = 3z

RS = 3( 10 )

RS = 30

Therefore, the length of side RS of the rectangle is 30 units.

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Equivalent to the original implication, "if you win the lottery, then you will be rich," are statements (d), (h), (j), and (1). Equivalent to the converse of the implication are statements (b), (e), (i), and (k).

The original implication states that winning the lottery leads to being rich. The equivalent statements are those that express the same relationship, while the converse of the implication reverses the order of the events.

Equivalent to the original implication:

(d) You will be rich if you win the lottery.

(h) You will be rich only if you win the lottery.

(j) If you are rich, you must have won the lottery.

(1) You will win the lottery if and only if you are rich.

Equivalent to the converse of the implication:

(b) Either you don't win the lottery or else you are rich.

(e) You will win the lottery if you are rich.

(i) Unless you win the lottery, you won't be rich.

(k) If you are not rich, then you did not win the lottery.

Not equivalent to either the implication or its converse:

(a) Either you win the lottery or else you are not rich.

(c) You will win the lottery and be rich.

(f) It is necessary for you to win the lottery to be rich.

(g) It is sufficient to win the lottery to be rich.

These statements do not capture the exact relationship between winning the lottery and being rich or its converse.

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The logistic model shows how the growth of a population is limited by its environment.

The differential equation that models the growth rate for the fish population with harvesting when a very anti-social species of fish will be harvested at a constant rate h and the intrinsic growth rate for the fish population is is given below:$$\frac{dN}{dt}= rN - hN$$Where N is the population of fish, t is time, r is the intrinsic growth rate, and h is the rate of harvesting. The first term in the above equation represents the population growth rate, and the second term represents the population loss rate due to harvesting. The differential equation is also known as a logistic model or Verhulst model. The logistic model, on the other hand, takes into account limiting factors such as the population size and resources available.

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The solution of the equations is (2, -2)

Given is an equation we need to solve it,

\(3 ^ x * 3 ^ y = 1 \\\\2^{(2x - y)} - 64 = 0\)

\(\begin{bmatrix}3^x\cdot \:3^y=1\\ 2^{2x-y}-64=0\end{bmatrix}\)

\(\mathrm{Substitute\:}x=-y\)

\(\begin{bmatrix}2^{2\left(-y\right)-y}-64=0\end{bmatrix}\)

\(\begin{bmatrix}8^{-y}-64=0\end{bmatrix}\)

\(x=-\left(-2\right)\)

x = 2 and y = 2

Hence, the solution of the equations is (2, -2)

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The total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

To find the total amount of money earned by Nora over 21 years, we need to calculate the salary for each year and then sum them up.

In the first year, Nora's salary is $40,000.

In the second year, her salary will be increased by 3%, so it will be:

$40,000 + 3% of $40,000 = $40,000 + $1,200 = $41,200.

In the third year, her salary will again increase by 3%, so it will be:

$41,200 + 3% of $41,200 = $41,200 + $1,236 = $42,436.

We can continue this process for each year, adding 3% of the previous year's salary to calculate the next year's salary.

To calculate the total amount of money earned over the 21 years, we need to sum up the salaries for each year. Here's the calculation:

Total = $40,000 + $41,200 + $42,436 + ... (21 terms)

To simplify the calculation, we can use the formula for the sum of an arithmetic series:

Total = (n/2) * (2a + (n - 1)d)

where:

n = number of terms (21 in this case)

a = first term ($40,000)

d = common difference (3% of the previous year's salary)

Plugging in the values:

Total = (21/2) * [2(40,000) + (21 - 1)(0.03)(40,000)]

Simplifying further:

Total = (21/2) * [80,000 + 20(0.03)(40,000)]

= (21/2) * [80,000 + 2,400(40,000)]

= (21/2) * [80,000 + 96,000]

= (21/2) * 176,000

= 21 * 88,000

= 1,848,000

Therefore, the total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

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We also have the same 38 subjects listen to music without lyrics while they study a separate list of 25 common five-letter words for 90 seconds and write down as many as they remember. This is an example of: a controlled experiment.

A controlled experiment is an investigation that is carried out under highly controlled conditions in which the independent variable is manipulated. It entails the use of both control and experimental groups in order to determine the impact of the independent variable on the dependent variable. In addition, the objective of a controlled experiment is to remove any sources of bias or confounding variables that may impact the results. Controlled experiments involve randomization and the use of a control group. Subjects are randomly allocated to a control group or an experimental group in the randomization process. The control group serves as the baseline against which the results of the experimental group are compared.

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The association between daytime temperature and nighttime temperature is a statistical association because it is based on analyzing data using statistical methods.

Specifically, the correlation coefficient is often used to quantify the strength and direction of the relationship between two variables, such as daytime and nighttime temperatures.

A positive correlation coefficient indicates a positive association, meaning that as one variable increases, the other variable also tends to increase. A negative correlation coefficient indicates a negative association, meaning that as one variable increases, the other variable tends to decrease.

However, it's important to note that statistical associations do not necessarily imply causation. In the case of daytime and nighttime temperatures, while there is a strong statistical association, this does not necessarily mean that changes in daytime temperatures cause changes in nighttime temperatures or vice versa. Other factors, such as atmospheric conditions, can also play a role in determining both daytime and nighttime temperatures.

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Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

Answer:

Step-by-step explanation:

Certainly! "Mean," "median," and "mode" are three different measures of central tendency used in statistics to describe a dataset. They help provide insight into the typical or central value within a set of data points.

1. **Mean:**

  - **Definition:** The mean, also known as the average, is calculated by adding up all the values in a dataset and then dividing by the total number of values.

  - **Calculation:** Mean = (Sum of all values) / (Number of values)

  - **Explanation:** The mean gives you the "typical" or "average" value in a dataset. It's the sum of all the values divided by the number of values. For example, if you have test scores of 80, 85, 90, 92, and 95, the mean score would be (80 + 85 + 90 + 92 + 95) / 5 = 88.4.

2. **Median:**

  - **Definition:** The median is the middle value in a dataset when the values are arranged in ascending or descending order. If there is an even number of values, the median is the average of the two middle values.

  - **Explanation:** The median is the middle value that separates the dataset into two equal halves. It is not influenced by extreme values (outliers) as much as the mean. For example, in the dataset 4, 7, 9, 12, 15, the median is 9 because it's the middle value.

3. **Mode:**

  - **Definition:** The mode is the value that appears most frequently in a dataset. A dataset can have one mode (unimodal), more than one mode (multimodal), or no mode if all values occur with the same frequency.

  - **Explanation:** The mode represents the most common value or values in a dataset. For example, in the dataset 2, 3, 3, 4, 4, 4, 5, the mode is 4 because it appears more frequently than any other value.

In summary, the mean is the average value, the median is the middle value, and the mode is the most frequently occurring value in a dataset. Each of these measures provides different insights into the central tendency of data and can be useful for various statistical analyses and interpretations.

Answer:

Columbian exchange. Tell a story in chronological order of the changes that the community undergoes as it and the communities around it make contact with Europeans over a span of roughly 50 to 100 years.

This section is worth 20 points. See the scoring rubric for more details on how you

will be graded

Use the evidence you gathered to tell the story of a hypothetical indigenous

community in the Americas and its experience involving the Columbian Exchange.

Come up with a community whose circumstances are typical of many in Central

America, the West Indies, or another part of the Americas that had direct contact with

Europeans. Tell the story in chronological order, but feel free to skip whole years or

decades so that you can cover each of the important topics related to the activity: the

availability of goods, the effects of disease, and the impact of European culture

(language and religion, for example), at the very least.

Think of your story as more of a summary than a work of fiction; you must cover a

large span of time in few words. Base the details of the story on factual evidence and

cite your sources, but keep in mind that the text should be written as a story, not as

an essay with a conventional introduction, body, and conclusion. Aim for about 700

to 1,200 words.

free body diagram can be used to help work out the net force acting on an object. True or, false?Columbian exchange. Tell a story in chronological order of the changes that the community undergoes as it and the communities around it make contact with Europeans over a span of roughly 50 to 100 years.

This section is worth 20 points. See the scoring rubric for more details on how you

will be graded

Use the evidence you gathered to tell the story of a hypothetical indigenous

community in the Americas and its experience involving the Columbian Exchange.

Come up with a community whose circumstances are typical of many in Central

America, the West Indies, or another part of the Americas that had direct contact with

Europeans. Tell the story in chronological order, but feel free to skip whole years or

decades so that you can cover each of the important topics related to the activity: the

availability of goods, the effects of disease, and the impact of European culture

(language and religion, for example), at the very least.

Think of your story as more of a summary than a work of fiction; you must cover a

large span of time in few words. Base the details of the story on factual evidence and

cite your sources, but keep in mind that the text should be written as a story, not as

an essay with a conventional introduction, body, and conclusion. Aim for about 700

to 1,200 words.

free body diagram can be used to help work out the net force acting on an object. True or, false?

Step-by-step explanation:

where my brainlest

Answer:

.84%

Step-by-step explanation:

\(8y+24\). you multiply all of the values in the parentesys.

Answer:

\(\huge\boxed{\sf{8y+24}}\)

Step-by-step explanation:

Hello.

Let's recall that the Distributive Property states that

Using the formula, let's simplify:

8(y+3)

Multiply 8 times y and 8 times 3 and add the products:

8y

24

Add:

8y+24

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

The population of the town is 11800, and 20% of the people are voters making 2360 voters.

A population is the entire collection of humans, whether that group is a nation or a group of people who share a feature. A population in statistics is the group of people from which a statistical sample is taken for research.

Let x represent the population of the town.

20% of the people in a small town are voters, and there are 2360 voters, hence:

20% of x = 2360

0.2x = 2360

Divide

x = 2360 / 0.2

x = 11800

The population of the town is 11800.

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The population is 11,800 people.

Hope it helps !

Find the minimum proportion of observations in the population that are in the range 8,800 to 9,200 is 0.75,.

Note that based on the metrics given:

µ = 8,000

σ = 100.

Hence, according to the Chebyshev’s Theorem,

1. At least 3/4 (75%) of the data fall within two standard deviations of the mean, i.e. in the interval with endpoints 2 for populations.

2. At least 8/9 (88.9%) of the data fall within three standard deviations of the mean, i.e. in the interval with endpoints 3 for populations.

3. at least 1/k2 of the data are within k standard deviations of the mean, i.e. in the interval with endpoints k for populations, where k is any positive whole integer higher than 1.

Hence because the shape of the distribution is not known, using Chebyshev's theorem,

μ-2σ = 8000-2*100 = 7800

μ+2σ = 9000+2*100 = 9200

Hence 75% value will lie between 7,800 and 9,200

A population in statistics is the group of people from which a statistical sample is taken for a research. As a result, any collection of people who share a characteristic might be called a population.

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We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.

With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternative hypotheses, which are two opposing claims: The null hypothesis (H0) states that there is no population impact. Alternative hypothesis (Ha or H1): The population is affected.

Given,

Among susceptible individuals exposed to a particular infectious agent 30% generally develop clinical disease. out of a random sample of 100 people suspected of exposure to the agent only 20 developed clinical disease.

Let X be the random variable to determine the proportion of people who have clinical illness.

n: The overall number of people who were exposed to a specific infectious pathogen.

p: The percentage of sample members who have a clinical illness.

Selected subjects who experience clinical disease are the experiment's success.

As a result, the variables are n = 100 and p = 0.30.

It is necessary to determine whether exposure to the agent outcome may be entirely accounted for by coincidence.

A P-value is a probabilistic indicator of the likelihood that an observed outcome effect is accidental.

Using the default level of significance = 0.05, the level of significance is not defined.

One percentage z-test is the best suitable test for the aforementioned assertion.

The alternate and null hypothesis is

H0: p = 0.3

H1:: p ≠ 0.3

Where p is the percentage of the population that develops a clinical illness.

R may be used to calculate the p-value and test statistic.

The instruction is as follows:

x = 20; n = 100; p = 0.3; prop.test

The result looks like this: - The p-value obtained from the output above is 0.03817.

Decision principle:

When significance is 5%,

If the p-value is below 0.05, reject the null hypothesis.

Accept the contrary.

Because the p-value was 0.03817 0.05

The null hypothesis is disproven.

In conclusion:

We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.

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Answer:

1) There are 13 students in Jerry's study.

2) There are 39 students in Kathy's study.

3) Jerry's study is more trustworthy!

Step-by-step explanation:

1) Jerry's study is the one with the dot plot.

Now, the number of students is calculated by adding the total number of dots in the plot.

We have a total of 13 dots.

Thus, there are 13 students in Jerry's study.

2) Kathy's study is the one with the histogram.

The total number of students is gotten by adding the corresponding number of students on the y-axis for each range of distance on the x-axis.

Total number of students = 9 + 11 + 7 + 12 = 39 students

3) Jerry's study where he used a dot plot is likely to be more trustworthy because it gives exact values of the number of students for each distance represented whereas, Kathy's study where she used a histogram doesn't give exact values but just gives a range of distances for a particular number of people.

The optimal order quantity (stocking level) for Skinner's Fish Market is approximately 14.70 pounds, calculated using the economic order quantity (EOQ) formula. This quantity minimizes the total cost by balancing the ordering cost and holding cost per unit per period.

To determine the optimal order quantity (stocking level), we can use the economic order quantity (EOQ) formula. The EOQ formula is given by:

EOQ = √((2DS)/H)

Where:

D = Demand per period (in this case, the mean daily demand of 108 pounds)

S = Ordering cost per order (the cost of buying fresh bluefish at $4.20 per pound)

H = Holding cost per unit per period (the opportunity cost of holding the bluefish in inventory)

Since the problem doesn't provide explicit values for S and H, we'll assume that the ordering cost and holding cost per unit per period are equal. Let's denote this common cost as C.

Plugging in the values into the EOQ formula, we have:

EOQ = √((2DC)/C)

    = √(2D)

Substituting the mean daily demand D = 108 pounds, we get:

EOQ = √(2 * 108)

    = √(216)

    ≈ 14.70

Rounded to two decimal places, the optimal order quantity (stocking level) is approximately 14.70 pounds.

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Answer:

Your answer

420 were chocolate

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

∫41 xh''(x)dx=41[x∫h''(x)dx-∫{1∫h''(x)dx}dx]+c

The value of \(\int\limits^{4}_{1} {x\cdot h''(x)} \, dx\) is 8.5. The choice that represent the best approximation is A.

This integral can be approximated by the following Riemann sum:

\(A = \Sigma\limits_{i=0}^{2} \left\{(x_{i+1}-x_{i})\cdot x_{i}\cdot h''(x_{i})+\frac{1}{2}\cdot (x_{i+1}-x_{i})\cdot [x_{i+1}\cdot h''(x_{i+1})-x_{i}\cdot h''(x_{i})] \right\}\)

\(A = \frac{1}{2} \cdot \Sigma\limits_{i=0}^{2} \left\{(x_{i+1}-x_{i})\cdot [x_{i+1}\cdot h''(x_{i+1})+x_{i}\cdot h''(x_{i})] \right\}\)

Then, the approximate value of the integral is:

\(A = \frac{1}{2}\cdot \{(2-1)\cdot [(2)\cdot 2+(1)\cdot (-5)]+(3-2)\cdot [(3)\cdot 1+(2)\cdot 2]+(4-1)\cdot [(4)\cdot 2+(3)\cdot 1]\}\)

\(A = 8.5\)

The value of \(\int\limits^{4}_{1} {x\cdot h''(x)} \, dx\) is 8.5. The choice that represent the best approximation is A. \(\blacksquare\)

The statement is incomplete and poorly formatted and table is missing. Complete statement is:

Selected values of the twice-differentiable function and its first and second derivatives are:

\(h(1) = 3\), \(h(2) = 6\), \(h(3) = 2\), \(h(4) = 10\)

\(h'(1) = 4\), \(h'(2) = -4\), \(h'(3) = 3\), \(h'(4) = 5\)

\(h''(1) = -5\), \(h''(2) = 2\), \(h''(3) = 1\), \(h''(4) = 2\)

Selected values of the twice-differentiable function \(h\) and its first and second derivatives are given in the table above. What is the value of \(\int\limits^{4}_{1} {x\cdot h''(x)} \, dx\)?

A. 9, B. 13, C. 23, D. 38

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The link between xn+1 and xn for all n ∈ N is xn+1 = 2xn - xn-1. The link between yn+1 and yn is yn+1 = 2yn - yn-1. The link between xn and x0 is xn = 2x0 - xn-1. The link between yn and y0 is yn = 2yn - yn-1.

The explicit formula for x1n, x2n, and x3n is as follows:

x1n = 2x10 - x1(n-1)

x2n = 2x20 - x2(n-1)

x3n = 2x30 - x3(n-1)

The sheep can jump to infinity in a bounded space of the plane if and only if the initial positions of M1, M2, and M3 form an equilateral triangle.

The link between xn+1 and xn can be found by considering the symmetry of the leapfrog game. When M1 jumps over M2, the new position of M1 is the mirror image of its previous position with respect to M2. This means that the x-coordinate of M1 will be the same as the x-coordinate of M2, but the y-coordinate will be the negative of the y-coordinate of M2.

The link between yn+1 and yn can be found by considering the symmetry of the leapfrog game. When M2 jumps over M3, the new position of M2 is the mirror image of its previous position with respect to M3. This means that the y-coordinate of M2 will be the same as the y-coordinate of M3, but the x-coordinate will be the negative of the x-coordinate of M3.

The explicit formula for x1n, x2n, and x3n can be found by using the recursive formulas for xn+1 and xn.

The condition for the sheep to jump to infinity in a bounded space of the plane can be found by considering the distance between the sheep. If the initial positions of M1, M2, and M3 form an equilateral triangle, then the distance between the sheep will remain constant. This means that the sheep will continue to jump forever, and they will never reach the boundary of the space.

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Answer: 52.288.802.199

The correct statement regarding the null hypothesis is: the null hypothesis claims the opposite of what the researcher believes.

The null hypothesis is the claim that no relationship exists between two sets of data or variables being analyzed. The

null hypothesis is that any experimentally observed difference is due to chance alone, and an underlying causative

relationship does not exist, hence the term "null".

In research, the null hypothesis is a statement of no effect or no relationship between variables, while the alternative

hypothesis represents the effect or relationship the researcher is interested in demonstrating.

The purpose of statistical testing is to determine whether there is enough evidence to reject the null hypothesis in

favor of the alternative hypothesis.

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Answer:

x=4

Step-by-step explanation:

first you would factor the -2(2x-1). -2x2x= -4x, -2x-1= 2

the equation would then be 5x-4x+2=6

add the x's together which turns the equation to 1x+2=6

minus 2 from both sides of the equation which gives you x=4

The required value of x would be 4 in the given equation 5x − 2(2x − 1) = 6.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have to determine the value of x in the equation

Given that the equations as :

⇒ 5x − 2(2x − 1) = 6

Open the parentheses and apply the multiplicative property,

⇒ 5x - 4x + 2 = 6

Apply the subtraction operation in the terms of x

⇒ x + 2 = 6

⇒ x = 6 - 2

⇒ x =  4

Therefore, the required value of x would be 4 in the equation

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The discriminant of the quadratic equation is -20 and there are two non real solutions.

The discriminant of a quadratic equation uses the equation:

\(b^{2} -4ac\)

Where the value of this calculation can tell you what solutions there are, plug known values in:

\(x^{2} +6x+14\)

a=1

b=6

c=14

\(b^{2} -4ac\)

which is equal to -20 on putting the values of a,b and c in the equation

As -20 < 0, this means that there is not a real solution, resulting in the first option being correct.

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Answer:

She will run 4.95 miles

Step-by-step explanation:

Since she will run 1.1 times the amount, you multiply this by the previous value:

4.5 miles x 1.1 = 4.95 miles

Two positive integers have gcd (a, b) = 15 and lcm (a, b) = 90. Those two numbers are 15 and 90 or 30 and 45.

Suppose we have 2 positive integers, a and b, then:

gcd (a, b) = the greatest common divisor = common prime factors of a and b

lcm (a, b) = the least common multiple = multiplication of the greatest common prime factors of a and b

In the given problem:

gcd (a, b) = 15

prime factorization of 15:

15 = 3 x 5

Hence,

a = 3 x 5 x ....

b = 3 x 5 x ....

lcm (a, b) = 90

prime factorization of 90:

90 = 3 x 5 x 2 x 3

Therefore the possible pairs of a and b are:

Combination 1:

a = 3 x 5 = 15

b = 3 x 5 x 2 x 3 = 90

Combination 2:

a = 3 x 5 x 2 = 30

b = 3 x 5 x 3 = 35

We can conclude the two integers are 15 and 90 or 30 and 45.

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