Simplify by combining like terms.
3x^2y^2 + 4xy - 2x^2y^2 - 6xy

An equation is a mathematical statement that states the equality of two expressions or quantities, typically containing variables and constants, which can be solved to find the values of the variables.

To solve the equation (2x - 12) = c/d for x(a/b), we need to isolate x(a/b) on one side of the equation.

1. Distribute the a/b to both terms inside the parentheses:
2(a/b)x - (12a/b) = c/d

2. Multiply both sides of the equation by b to eliminate the fraction:
2ax - 12a = (bc)/d

3. Add 12a to both sides of the equation to isolate 2ax on one side:
2ax = (bc)/d + 12a

4. Divide both sides of the equation by 2a to solve for x(a/b):
x(a/b) = [(bc)/d + 12a] / 2a

Thus, the equation (2x - 12) = c/d can be solved for x(a/b) as x(a/b) = [(bc)/d + 12a] / 2a.

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Answer:

68.8

Step-by-step explanation:

rounding to one decimal place is the same as rounding to the nearest tenth (see attached for reference).

In this case, 68.8 is already expressed as a number with one decimal place. No further manipulation is needed.

SSE = s²e = 84 Hence, the SSE in the ANOVA table is 84.

Given that the following ANOVA table has the values below:d.f.

Sum of squares Treatments 5 Error 84 Mean squares 10 F-statistic 3.24

We are to find the SSE in the ANOVA table.

SSE (sum of squared error) is the measure of the variation in the sample that is not explained by the regression model.

SSE is an estimate of the variance that is still present when the regression model has been applied to the data.

Let SSE = s²e,

Then,s²e = MSE x dfe,

where MSE is the mean squared error, and dfe is the degrees of freedom for error.Solving for SSE;s²e = MSE x dfe84 = 10 x 8.4

Therefore, SSE = s²e = 84 Hence, the SSE in the ANOVA table is 84.

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solution

f(x)= 1/(3x+1)

When f(5/3)

f(x)= 1/(3x+1)

f(5/3)= 1/(3(5/3)+1)

f(5/3)= 1/(5+1)

f(5/3)= 1/6

The correct conclusion is C.Reject the null hypothesis.

A hypothesis is an educated guess or proposed explanation for a phenomenon or observation that can be tested through further investigation or experimentation. It is a tentative statement that can be either supported or refuted by evidence.

Conclusion refers to the final part of something, typically a written piece, where the main points or arguments are summarized and a final decision or opinion is presented. It is often used to bring closure to a discussion or to provide a final statement on a topic.

The correct conclusion is C.

In hypothesis testing, the alpha (significance level) is the threshold used to determine whether the null hypothesis should be rejected or not. If the p-value (observed significance level) is less than the alpha, it means that the observed data is unlikely to have occurred by chance alone. In this case, the p-value is 0.001, which is less than the alpha of 0.025, so the correct conclusion is to reject the null hypothesis.

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its a and c maybe. cuz im smart

Gilda will have 54% of the marbles of her original bag left with her.

A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

Gilda has 100 marbles with her.

She gives 20% to her friend Pedro,

20%*100=20.

She gives 20 marbles to Pedro, she has 80 marbles.

She gives 10% to ebony,

10%*80=8

She gives 8 marbles to Ebony, she is left with 72 marbles.

She gives 25% to her brother Jimmy.

25%*72=18, she gives 18 to Jimmy.

She is left with 54 marbles, which 54% of the number of marbles Gilda had at the beginning.

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Complete question

Gilda has a bag of marbles. She gives 20% of them to her friend Pedro. Then Gilda gives 10% of what is left to another friend, Ebony. Finally, Gilda gives 25% of what is now left in the bag to her brother Jimmy. What percentage of her original bag of marbles does Gilda have left for herself?

The percentage the total amount saved on Chris's new pets was 45% of the total of their original prices.

What is the percentage?

In mathematics, a percentage is a statistic or ratio that may be expressed as a fraction of 100. To find the percentage of a number, divide it by its total and multiply by 100. As a result, the percentage represents one part in a hundred. The term percent stands for one hundred percent. It is represented by the symbol "%".

Here are some instances of percentages:

10% is one-tenth of a fraction.

20% is one-fifth of a share.

25% is divided into quarters.

Now,

Given that A pet show offers an iguana for $80 and a parakeet for $40. During a sale, Chris bought the iguana at a 40% discount and the parakeet at a 55% discount.

so, price of iguana after discount is =80-40*80/100

=$48

price of parakeet after discount=40-40*55/100

=$18

then,  The total amount saved on Chris's new pets=120-64=$54

percentage of amount saved to original price=54/120*100

=9/2*10

=9*5

=45%

Hence,

          The percentage the total amount saved on Chris's new pets was 45% of the total of their original prices.

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Answer:

-2g -10

Step-by-step explanation:

On simplifing this expression we get,

-2(g+5)

=> -2g + (-10)

=> -2g - 10

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Answer:

-2g-10

Step-by-step explanation:

-2(g+5)

Use the distributive property to simplify the equation

(-2*g)+(5*-2)

(-2g)+(-10)

-2g-10

Hope this helps. Have a nice day. May it be filled with joy ad happiness. Please, be safe and wash your hands. Happy Holidays.

Answer:

Step-by-step explanation:

Correct option is A)

The distance at which the coin of diameter 1 cm should be held to conceal the full moon is approximately 0.94 cm (rounded to the nearest centimeter).

We can use basic trigonometry to solve this problem.

Let d be the distance at which the coin of diameter 1 cm should be held to conceal the full moon.

The angle subtended by the full moon at the eye of the observer on Earth is 31 degrees.

We can draw a right-angled triangle with the observer's eye at one vertex, the center of the moon at another vertex, and the edge of the coin touching the moon at the third vertex. The diameter of the moon is the hypotenuse of the triangle.

We can use the tangent function to find the distance d:

tan(31) = 0.534 = (0.5)/d

Solving for d, we get:

d = 0.5/0.534 = 0.937 cm

Therefore, the distance at which the coin of diameter 1 cm is approximately 0.94 cm (rounded to the nearest centimeter).

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The correct answer is: Fast Chicken, because it has a smaller median.

What is median?

Median is a measure of central tendency that represents the middle value in a dataset when the values are arranged in order of magnitude. To find the median, you need to arrange the values in order from smallest to largest and then find the middle value.

Based on the information provided, the drive-thru restaurant with less wait time is Fast Chicken, as it has a smaller median wait time of 12.5 minutes compared to the median wait time of 12 minutes for Super Fast Food. The mean wait time is not given, and even if it were, the median is a better measure of central tendency to compare in this scenario, as the box plots suggest some potential outliers.

Therefore, the correct answer is: Fast Chicken, because it has a smaller median.

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Answer:

0.625

Step-by-step explanation:

The lines on top of the numbers means that the number continues for a long time. However, 5/8 isn't infinite which means we can rule the 2nd and 3rd options. We also know that 5/8 certainly isn't greater than 1 which means the only answer we have left is the 1st one.

(sorry this is so confusing but I hope it helped anyway)

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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The order of a in (z/(pq))× is exactly (p-1)(q-1), as desired.

To prove that (z/(pq))× has order (p − 1)(q − 1), we need to show that the least positive integer n such that (z/(pq))×n = 1 is (p − 1)(q − 1).

First, let's define (z/(pq))× as the set of all integers a such that gcd(a,pq) = 1 (i.e., a is relatively prime to pq) and a mod pq is also relatively prime to pq.

Now, we know that the order of an element a in a group is the smallest positive integer n such that a^n = 1. Therefore, we need to find the order of an arbitrary element a in (z/(pq))×.

Let's assume that a is an arbitrary element in (z/(pq))×. Since gcd(a,pq) = 1, we know that a has a multiplicative inverse modulo pq, denoted by a^-1. Therefore, we can write:

a * a^-1 ≡ 1 (mod pq)

Now, let's consider the order of a. Since gcd(a,pq) = 1, we know that a^(p-1) is congruent to 1 modulo p by Fermat's Little Theorem. Similarly, we can show that a^(q-1) is congruent to 1 modulo q. Therefore, we have:

a^(p-1) ≡ 1 (mod p)
a^(q-1) ≡ 1 (mod q)

Now, we can use the Chinese Remainder Theorem to combine these congruences and get:

a^(p-1)(q-1) ≡ 1 (mod pq)

Therefore, we know that the order of a must divide (p-1)(q-1).

To show that the order of a is exactly (p-1)(q-1), we need to show that a^k is not congruent to 1 modulo pq for any positive integer k such that 1 ≤ k < (p-1)(q-1).

Assume for contradiction that there exists such a k. Then, we have:

a^k ≡ 1 (mod pq)

This means that a^k is a multiple of pq, which implies that gcd(a^k, pq) ≥ pq. However, since gcd(a,pq) = 1, we know that gcd(a^k, pq) = gcd(a,pq)^k = 1. This is a contradiction, and therefore our assumption must be false.

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The order of a in (z/(pq))× is exactly (p-1)(q-1), as desired.

To prove that (z/(pq))× has order (p − 1)(q − 1), we need to show that the least positive integer n such that (z/(pq))×n = 1 is (p − 1)(q − 1).

First, let's define (z/(pq))× as the set of all integers a such that gcd(a,pq) = 1 (i.e., a is relatively prime to pq) and a mod pq is also relatively prime to pq.

Now, we know that the order of an element a in a group is the smallest positive integer n such that a^n = 1. Therefore, we need to find the order of an arbitrary element a in (z/(pq))×.

Let's assume that a is an arbitrary element in (z/(pq))×. Since gcd(a,pq) = 1, we know that a has a multiplicative inverse modulo pq, denoted by a^-1. Therefore, we can write:

a * a^-1 ≡ 1 (mod pq)

Now, let's consider the order of a. Since gcd(a,pq) = 1, we know that a^(p-1) is congruent to 1 modulo p by Fermat's Little Theorem. Similarly, we can show that a^(q-1) is congruent to 1 modulo q. Therefore, we have:

a^(p-1) ≡ 1 (mod p)
a^(q-1) ≡ 1 (mod q)

Now, we can use the Chinese Remainder Theorem to combine these congruences and get:

a^(p-1)(q-1) ≡ 1 (mod pq)

Therefore, we know that the order of a must divide (p-1)(q-1).

To show that the order of a is exactly (p-1)(q-1), we need to show that a^k is not congruent to 1 modulo pq for any positive integer k such that 1 ≤ k < (p-1)(q-1).

Assume for contradiction that there exists such a k. Then, we have:

a^k ≡ 1 (mod pq)

This means that a^k is a multiple of pq, which implies that gcd(a^k, pq) ≥ pq. However, since gcd(a,pq) = 1, we know that gcd(a^k, pq) = gcd(a,pq)^k = 1. This is a contradiction, and therefore our assumption must be false.

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The series converges for x in the interval (-6, 10).

The sum of the series for the values of x in the interval (-6, 10) is 8/(10-x).

To determine the values of x for which the series converges, we can use the ratio test:

lim as n approaches infinity of \(|(x - 2)^(^n^+^1^) / 8^(^n^+^1^)| / |(x - 2)^n / 8^n|\)

= lim as n approaches infinity of |x - 2| / 8

For the series to converge, this limit must be less than 1:

|x - 2| / 8 < 1

|x - 2| < 8

-8 < x - 2 < 8

-6 < x < 10

Therefore, the series converges for x in the interval (-6, 10).

To find the sum of the series for those values of x, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where a is the first term and r is the common ratio. In this case, a = \((x - 2)^0/8^0\) = 1 and r = (x - 2)/8. Since the series converges, we know that |r| < 1:

|(x - 2)/8| < 1

|x - 2| < 8

-8 < x - 2 < 8

-6 < x < 10

Therefore, we can use the formula for the sum of an infinite geometric series:

S = 1 / (1 - (x - 2)/8) = 8 / (10 - x)

So, the sum of the series for the values of x in the interval (-6, 10) is 8/(10-x).

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Answer:

A

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

Answer:

greater than

Step-by-step explanation:

positive is higher than negative

This form of number of trade illustrates an example of comparative advantage, where each country specializes in the production of goods that they are more efficient at producing and then trading those goods with each other.

Comparative advantage is a concept in economics that states that countries that specialize in goods they are more efficient at producing will be able to produce those goods at a lower cost than countries that do not specialize in that good. In this form of trade, China specializes in the production of silk, while Germany specializes in the production of automobiles. By trading these goods with each other, both countries are able to benefit from the number of  specialization of each other, as they can produce silk or automobiles more efficiently and at a lower cost than the other country.

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Answer: AB : secant

OC : radius

AC : tangent

CD : chord

Point C : center

Point O : Point of tangency

D B You Try A : Not enough information provided to match the notation.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Angles A and C are equal. This makes triangles similar:

Ratio of corresponding sides is same:

Side measures are:

Answer:

5

Step-by-step explanation:

Natalie

100 + 10x

Her sister

25 + 25x

Where

x = number of months

Equate Natalie and her sisters equation

100 + 10x < 25 + 25x

100 - 25 < 25x - 10x

75 < 15x

Divide both sides by 15

x < 75 / 15

x < 5

The expression to represent the p pages David has read is: p = 18 + (1/4)x, where x is the total number of pages in the book.

David has read 18 pages more than 1/4 pages of a book. The expression to represent the p pages that David has read would be: p = 18 + (1/4)x, where x is the total number of pages in the book. The reasoning behind this is as follows:

David has already read 18 pages more than 1/4 of the book, so we have to add 18 pages to whatever the pages of the book are. Since we don't know what the actual number of pages are, we'll call that x. Therefore, David read 1/4 of the book (or 1/4 of x) plus 18 pages.

Hence, the expression is: p = 18 + (1/4)x.

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Answer:

x = 2, y = -1.

Step-by-step explanation:

2x - 5y = 9

3x + 4y = 2

Multiply first equation by -3 and the second by 2:

-6x + 15y = -27

6x + 8y = 4            Adding the 2 equations:

23y = -23

y = -1.

Now substitute this value for y in the first equation:

2x - 5(-1) = 9

2x = 9 +5(-1)

2x = 9 - 5

2x = 4

x = 2.

The correct answer using the correct number of significant figures is 21.9.

To determine the correct answer with the appropriate number of significant figures, we need to consider the rules for significant figures.cThe result should be rounded to the fewest number of decimal places in any of the supplied integers whether adding or subtracting numbers.

In this case, the numbers being added have varying decimal places. 13.7 has one decimal place, 0.027 has three decimal places, and 8.221 has three decimal places.

To add these numbers, we align the decimal points and sum the values: 13.7 + 0.027 + 8.221 ------- 21.948

To follow the rule for significant figures, the least number of decimal places is one (from 13.7).

Therefore, the answer should be rounded to one decimal place.

Hence, the correct answer using the correct number of significant figures is 21.9.

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Answer:

The answer is R is neither reflexive, nor symmetric, nor

transitive.

Step-by-step explanation:

Let A = {1, 2, 3, 4, 5, 6}.

A relation R is defined on set A as:

R = {(a, b): b = a + 1}

R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}

We can find (a, a) ∉ R, where a ∈ A.

For instance,

(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R

R is not reflexive.

It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.

R is not symmetric.

Now, (1, 2), (2, 3) ∈ R

But, (1, 3) ∉ R

R is not transitive

Thus, R is neither reflexive, nor symmetric, nor transitive.