you may have seen in a previous class euclid’s proof that there are infinitely many prime integers: given any finite list of primes p1,p2,...,pn, the integer p1 ···pn 1 is not divisible by any of them. keeping in mind that k[x] is a pid (and therefore a ufd) for any field k, adapt this argument to show that there are infinitely many monic irreducible polynomials in k[x].

Answer:

\(\frac{4}{5}\)

Step-by-step explanation:

\(\frac{32}{40}\)

Both 32 and 40 are divisible by 8.
32÷8=4

40÷8=5

Thus, the simplest form is \(\frac{4}{5}\)

The inputs that are solutions for the inequality are:

x = 2

x= 1

Here we have the following inequality:

-5x < 2

We want to see which of the given inputs is a solution for this.

First we can isolate the variable in our inequality, so we get:

-5x < 2

-2 < 5x

-2/5 < x

-0.4 < x

So any value larger than -0.4 is a solution, from the given options, the two that are solutions are:

x = 1

x = 2.

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Answer:

4x-10

Step-by-step explanation:

Combine like terms :)

Answer: I can’t see the shape

Step-by-step explanation:

but I still we help you if you are finding the area if a rectangle, you multiply the length by width. Like if the rectangle length is 7 and the width is 9 they you multiply it together which you get 63. If you are trying to find a area of a triangle then, duplicate the triangle and try to make a rectangle then caculate area of the rectangle and divide that area by two. Like this photo

hope this helps

B) ∅ (empty set); The composition T ∘ S is an empty set (∅) because there are no ordered pairs that satisfy both the conditions of the relations T and S.

To find the composition T ∘ S, we need to determine the set of ordered pairs that satisfy both relations S and T. Let's analyze the definitions of S and T:

S = {(x, y) ∣ x < y}

T = {(x, y) ∣ x > y}

To find T ∘ S, we need to check if there exists an element z such that (x, z) is in T and (z, y) is in S for any (x, y) in the given relations. However, if we observe the definitions of S and T, we can see that there is no common element that satisfies both relations.

For any (x, y) in S, we have x < y, but in T, the relation is defined as x > y. Therefore, there are no elements that satisfy both conditions simultaneously.

As a result, T ∘ S will be an empty set (∅) because there are no ordered pairs that satisfy the composition of the two relations.

The composition T ∘ S is an empty set (∅) because there are no ordered pairs that satisfy both the conditions of the relations T and S.

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Answer:

Yes, it is possible for a dataset to have more than one mode.

Step-by-step explanation:

In statistics, a mode refers to the value or values that occur most frequently in a dataset. If there are multiple values that have the same highest frequency and occur more frequently than any other value in the dataset, then the dataset is said to have multiple modes.

There are different types of distributions that can exhibit multiple modes. Here are a few examples:

Bimodal Distribution: A bimodal distribution has two distinct modes, meaning it has two peaks or high-frequency regions. This indicates that there are two different groups or subpopulations within the dataset, each with its own characteristic values. For example, if you have a dataset of heights that includes both adults and children, you may observe two modes corresponding to the adult and child heights.

Multimodal Distribution: A multimodal distribution has more than two modes, meaning it has multiple peaks or high-frequency regions. This suggests the presence of multiple subgroups or distinct characteristics within the dataset. For instance, if you have a dataset of exam scores for a class where some students performed well, some performed moderately, and some performed poorly, you might observe three modes corresponding to these groups.

No Mode: It is also possible for a dataset to have no mode, which occurs when no value appears more frequently than others. This can happen in datasets with uniform or random distributions, where all values have equal frequency.

It's important to note that not all datasets will have a mode or multiple modes. Some datasets may have a single mode where one value occurs with the highest frequency, while others may have no discernible mode if the values are evenly distributed or there is no repetitive pattern in the data.In summary, a dataset can have one mode, multiple modes, or no mode depending on the frequency distribution of its values. The presence of multiple modes indicates the existence of distinct groups or subpopulations within the data.

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The expression 22x + 19 is the simplified form of the given expression which is determined by the distributive property of multiplication.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given below as:

3(5x + 7) + 7x - 2

Apply the distributive property of multiplication,

3 × 5x + 3 × 7 + 7x - 2

15x + 21 + 7x - 2

Combine the likewise terms in the above expression,

22x + 19

Thus, the simplified expression is:

22x + 19

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The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.

However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.

For the percentage of newborn African lions weighing less than 3 pounds:

We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.

For the percentage of newborn African lions weighing more than 3.8 pounds:

Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.

Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

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Answer:

a=25

Step-by-step explanation:

Solve by subtracting 3 from both sides.

a/5=5

Multiply both sides by 5.

a=25

Answer:

Step-by-step explanation:

a/5+3=8

Subtract 3 from both sides:

a/5+3 -3=8 -3

a/5=5

Multiply both sides by 5:

5×a/5=5×5

a=25

Hope it helps!

Answer:  The midpoint of the x-intercepts is (3,0).

hope it helps!

Answer: 4.9 years old

Step-by-step explanation: it’s the ages added up divided by the total (to find the average)

Answer:

hiya not sure of this is right but I would add all the dots up so with 3 add 3+3+3+3+3. because there is 5 dots do this with all of them and then divided by the amount of dots hope this helps

answer 4.9

Answer:

10 + 30

Step-by-step explanation:

10-1(-30)

10+1(30)

10+30

The higher order partial derivatives are: (A) ∂2z/∂x∂y = 0, (B) ∂2z/∂x2 = -1/(x+y)²,and (C) ∂2z/∂y2 = 2

To find the higher-order partial derivatives of the given function ln(x+y) = y² + z, let's first find the first-order partial derivatives:
∂z/∂x: Differentiate with respect to x, treating y and z as constants.
∂(ln(x+y))/∂x = ∂(y² + z)/∂x
1/(x+y) = 0 + ∂z/∂x
∂z/∂x = 1/(x+y)
∂z/∂y: Differentiate with respect to y, treating x and z as constants.
∂(ln(x+y))/∂y = ∂(y² + z)/∂y
1/(x+y) = 2y + ∂z/∂y
∂z/∂y = 1/(x+y) - 2y
Now let's find the higher-order partial derivatives:
(A) ∂²z/∂x∂y: Differentiate ∂z/∂x with respect to y.
∂(1/(x+y))/∂y = -1/(x+y)²
(B) ∂²z/∂x²: Differentiate ∂z/∂x with respect to x.
∂(1/(x+y))/∂x = -1/(x+y)²
(C) ∂²z/∂y²: Differentiate ∂z/∂y with respect to y.
∂(1/(x+y) - 2y)/∂y = -1/(x+y)² - 2
So the higher order partial derivatives are:
(A) ∂²z/∂x∂y = -1/(x+y)²
(B) ∂²z/∂x² = -1/(x+y)²
(C) ∂²z/∂y² = -1/(x+y)² - 2

To find the higher-order partial derivatives, we first need to find the first-order partial derivatives:
∂z/∂x = 1/(x+y)
∂z/∂y = 2y
Now, we can use these first-order partial derivatives to find the second-order partial derivatives:
(A) ∂2z/∂x∂y = ∂/∂x(∂z/∂y) = ∂/∂x(2y) = 0
(B) ∂2z/∂x2 = ∂/∂x(∂z/∂x) = ∂/∂x(1/(x+y)) = -1/(x+y)²
(C) ∂2z/∂y2 = ∂/∂y(∂z/∂y) = ∂/∂y(2y) = 2
Therefore, the higher-order partial derivatives are:
(A) ∂2z/∂x∂y = 0
(B) ∂2z/∂x2 = -1/(x+y)²
(C) ∂2z/∂y2 = 2

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Answer:

it is -21

Step-by-step explanation:

make it braintliest please

Answer:

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

First, use the equation find the value of x. Then, substitutes the value of x into 9x+12.

Answer:

x = 5, y = -2

Step-by-step explanation:

Given equations:

From the first equation we get:

Substitute x in the second equation, find y:

Find x:

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

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

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.

Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.

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The account increases in value by 1% every quarter, which is equivalent to 1/4% every month.

Savings interest is calculated on a daily basis and deposited into the account on the first day of the next quarter. The interest rate will depend on the balance in the account. Now it's between 3% and 3.5%.

To find the increase in value for an account with an APR of 4% and quarterly compounding, we'll first need to convert the APR to a quarterly interest rate.
1. Divide the APR by the number of compounding periods in a year: 4% / 4 = 1%.
2. The account increases in value by 1% every quarter.

Your answer: a. 1%

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Answer:

Andrew's total income for this month is $4762.5.

Step-by-step explanation:

With the information provided, you can find the total income by calculating 5% of the sales this month and adding up this amount to his monthly salary:

sales=10,250

monthly salary=4,250

10,250*5%=512.5

4,250+512.5=4,762.5

According to this, the answer is that Andrew's total income for this month is $4,762.5.

Answer:

The radius is 9.28 inches.

Step-by-step explanation:

Since there are 7 Move Ahead zones, and 3 Go Backwards zones on the spinner, there must be 2 other zones (the Freeze! +Bonus pts)

2 out of 12 zones are Freeze! +Bonus pts. That is 1/6 of the spinner. They said the area of the the Freeze!+Bonus pts is 45.1 inches squared.

45.1 × 6

= 270.6

The entire spinner has the area 270.6

The area of a circle is:

A = pi•r^2

We are looking for r. Thats the radius they asked for in the question.

270.6 = pi•r^2

pi is a number, I'm using the pi button on the calculator bc it is most exact.

270.6 = pi•r^2

Divide both sides by pi.

86.134655 = r^2

square root both sides.

9.28 = r

The radius is 9.28 inches.

The equation in percentage given by, $2.21 + 8% tax = $2.3868 rounds to $2.4 to the nearest tenth.

Given an equation,

$2.21 + 8% tax = $2.3868

This is an equation which relates the cost including the percentage of tax.

When 2.21 is added to the tax amount, we get $2.3868.

2.21 + (0.08 × 2.21) = 2.3868

Here it is not mentioned up to what decimal we have to round the figure.

If 2.3868 is rounded to the nearest whole number, it becomes 2.

If 2.3868 is rounded to the tenth, it becomes 2.4.

If 2.3868 is rounded to the hundredth, it becomes 2.39.

Hence the rounded amount to the nearest tenth is $2.4.

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The statement mentioned in question when translated to form expression is 5 + 6x ≥ 30.

Let us assume the number other than 6 to be x. Now remember that the overall result is atleast 30. The word indicates that minimum result will be 30 and it can be more than that. Hence, we will use inequality sign rather than equal. Forming the expression -

5 + 6x ≥ 30

Rewriting the expression for value of x

6x ≥ 30 - 5

Performing subtraction on Right Hand Side of the equation

6x ≥ 25

x ≥ 25/6

Hence, the number will be less than or equal to 25/6.

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Answer:

Average = 2000

Step-by-step explanation:

Given numbers are:

1,000 2,300 2,600

To find:

First round off the numbers to nearest 1000 and then find Average.

Solution:

1000 is already in thousands so no need to round off.

To round off a number to nearest thousand, we need check the digit on hundred's place.

So, 2300 will be rounded off as 2000.

and 2600 will be rounded off as 3000.

Now, the numbers whose average is to be calculated are 1000, 2000, 3000.

Formula for average is given as:

\(Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}\)

applying the formula:

\(Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}\)

So, the average after rounding off to nearest 1000 is 2000.

The terms with "x" cancel out, and we're left with:

0 = 12

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

Let's denote the number of slices with both pepperoni and mushrooms as $x$. We are given that there are 6 slices with pepperoni and 10 slices with mushrooms.

Since every slice has at least one topping, the total number of slices is 12. We can break down the slices into the following categories:

Slices with only pepperoni: 6 slices

Slices with only mushrooms: 10 slices

Slices with both pepperoni and mushrooms: $x$ slices

Slices with neither pepperoni nor mushrooms: 12 - (6 + 10 + x) slices

We know that the total number of slices is 12, so we can write an equation:

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

This equation is not possible to satisfy. Therefore, there must be an error or inconsistency in the given information. Please check the information provided again.

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The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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Answer:

We do this by dividing 360° by the size of one exterior angle, which is 72°. The answer is 360° ÷ 72° = 5 sides. to see whether you are correct.

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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