What are the domain and range of the function represented by the table?

Answer:

It is 35 as you said !

but the nth term of it is : Y= 4X-1 .

Step-by-step explanation:

Hope this helps u <3

The compound interval for the given interval is (-∞, ∞).

A compound inequality is a combination of two inequalities that are combined by either using "and" or "or". The process of solving each of the inequalities in the compound inequalities is as same as that of a normal inequality but just while combining the solutions of both inequalities depends upon whether they are clubbed by using "and" or "or".

The given intervals are (-∞, -2] or [-3, ∞).

Now, the compound interval is (-∞, ∞)

Thus, the interval notation is -∞<x<∞

Therefore, the compound interval for the given interval is (-∞, ∞).

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(a)If T is algebraic over F, then F(T) is a finite extension. Otherwise, it is an infinite extension.

Since we do not know the specific form or properties of T, we cannot determine if F(T) is an algebraic extension of F.

Without further information about T, it is not possible to determine a specific basis of F(T) over F.

(b)α = 72 - 1 is algebraic over Q(7³).

What is an algebraic extension?

An algebraic extension is a type of field extension in abstract algebra. Given a field F, an extension field E is said to be algebraic over F if every element in E is a root of a polynomial equation with coefficients in F.

(a) Let's analyze each part of the question:

To determine if F(T) is a finite extension of F, we need to examine whether T is algebraic over F. If T is algebraic over F, then F(T) is a finite extension. Otherwise, it is an infinite extension.

In this case, F = Q(7³), which represents the field extension of rational numbers by the cube root of 7. Without additional information about T, we cannot determine if T is algebraic over F. Therefore, we cannot conclude whether F(T) is a finite or infinite extension of F.

For F(T) to be an algebraic extension of F, every element in F(T) must be algebraic over F. In other words, if α is an element of F(T), then α must satisfy a polynomial equation with coefficients in F.

Since we do not know the specific form or properties of T, we cannot determine if F(T) is an algebraic extension of F.

Find a basis of F(T) over F. Without further information about T, it is not possible to determine a specific basis of F(T) over F. The basis would depend on the properties and relationships of the element T in the extension field.

(b) To prove that 72 - 1 is algebraic over Q(7³), we need to show that it satisfies a polynomial equation with coefficients in Q(7³).

Let α = 72 - 1. We can write this as α = 71.

To show that α is algebraic over Q(7³), we construct a polynomial equation satisfied by α. Consider the polynomial f(x) = x - α.

Substituting α = 71, we have f(x) = x - 71.

Since f(α) = α - 71 = (72 - 1) - 71 = 1 - 71 = -70 ≠ 0, we see that α does satisfy the polynomial equation f(x) = x - 71 = 0.

Therefore, α = 72 - 1 is algebraic over Q(7³).

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Answer:

The tax is $32375.

Step-by-step explanation:

1/2 of 35,000 is 17,500.

1/8 of 35,000 is 4375.

1/5 of 35,000 is 7000.

1/10 of 35,000 is 3500.

17500 + 4375 + 7000 + 3500 = 32375.

Therefore, the grocery store pays $32,375 in taxes.

Answer:

455 miles driven in 7hrs

Step-by-step explanation:

715miles divided by 11 hrs= 65 miles per hr

65 miles multiplied by 7 hrs= 455 miles driven in 7hrs

Answer:

18%

Step-by-step explanation:

Express the ending population as a percentage of the starting population:

270000 divided by 330000=0.82

0.82 *100=82

subtract from the 100% we started with to get the percent decrease:

100% - 82% = 18

:)

EXPLANATION

Since we have the function:

Vertical asymptotes:

Taking the denominator and comparing to zero:

The following points are undefined:

Therefore, the vertical asymptote is at x=-5

Horizontal asymptotes:

In conclusion:

The equation y = 10 × (2/3)ˣ represents the height of 10 feet.

The equation that gives the height of the ball after x bounces can be derived as follows:

Each time the ball hits the ground, it bounces to its previous height.
Since the initial height is 10 feet, after the first bounce, the ball will reach a height of 10 feet again.

After the second bounce, it will reach a height of 10 feet once more.

We can observe that the height of the ball after each bounce is proportional to the previous height.

Specifically, the height decreases by a factor of 2/3 with each bounce.

This indicates an exponential decay.

To represent this relationship mathematically, we can express the height of the ball after x bounces as:

y = 10 × (2/3)ˣ

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The length of AC is 5√17 cm. The height of the pyramid is 5√5 cm. The angle between VC and the base ABCD is approximately 25.84°.The angle AVB is approximately 29.9°The angle AVC is approximately 32.5°.

Given information:

In the square-based pyramid, V is vertically above the middle of the base, AB = 10 cm and VC = 20 cm.

There are different parts to the problem statement, which will be addressed one by one.

Let's begin with the first part of the problem statement.

a) AC we have a square pyramid where the vertex is directly above the center of the square.

Given that the distance VC is 20cm and AB is 10cm, let's consider the right-angled triangle ACD.

We can use the Pythagorean theorem to find the length of AC,AC² = AD² + DC²AC² = (AB/2)² + VC²AC² = (10/2)² + 20²AC² = 25 + 400AC = √425AC = 5√17 cm.

b) Height of the pyramid we can calculate the height of the pyramid by finding the length of the line AV.

Since the vertex V is vertically above the center of the square base, the height and the line from the center of the base to V are perpendicular.

The height of the pyramid is the length of AV.

We can use the right-angled triangle AVD to find the length of

AV,AV² = AD² + DV²AV² = AD² + (VC - DC)²AV² = (AB/2)² + (VC - DC)²AV² = 25 + 10²AV² = 25 + 100AV² = 125AV = √125 cm = 5√5 cm)

(c) Angle between VC and the base ABCD we can find the angle between VC and the base ABCD by using the right-angled triangle ACD that we considered in part (a) of this problem statement.

The angle between VC and AC can be calculated as follows :tan θ = DC/ADθ = tan⁻¹(DC/AD)Since AC = 5√17 cm, we can find the length of DC by subtracting 10/2 from AC,DC = AC - 5DC = 5(√17 - 1) cm.

Therefore,θ = tan⁻¹(DC/AD)θ = tan⁻¹((5(√17 - 1))/10)θ = 25.84° (nearest degree).

d) Angle AVB we can find the angle AVB by considering the right-angled triangle ABV, cos θ = AB/AVθ = cos⁻¹(AB/AV)θ = cos⁻¹(10/(5√5))θ = 29.9° (nearest degree).

e) Angle AVC we can find the angle AVC by considering the right-angled triangle AVD,cos θ = DV/AVθ = cos⁻¹(DV/AV)DV = VC - DC = 5(√17 - 1) cos θ = (5(√17 - 1))/√125θ = cos⁻¹((5(√17 - 1))/√125)θ = 32.5° (nearest degree) .

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The test that represents the best choice if you wanted to compare the average mean time to repair (mttr) of your office for the last month to the division’s mttr is one sample t-test

The purpose of the one sample t-test is to determine if a sample observations could follow a specific parameter like the mean.

This test is used to determine whether an unknown population mean is different from a specific value.

one sample t-test is used to compare the mean of a single group against that of a known mean.

We wanted to compare the average mean time to repair (mttr) of your office for the last month to the division’s mttr

So this test (one sample t-test ) would be the best choice to compare mttr.

Therefore, the test that represents the best choice if you wanted to compare the average mean time to repair (mttr) of your office for the last month to the division’s mttr is one sample t-test

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a. The quotient ring Z/2Z consists of two elements: [0] and [1].

b. The quotient ring Z/6Z consists of six elements: [0], [1], [2], [3], [4], and [5].

c. The quotient ring of polynomials of degree n is denoted as F[x]/(p(x)), where F is a field and p(x) is a polynomial of degree n.

In abstract algebra, a quotient ring is formed by taking a ring and factoring out a two-sided ideal. The resulting elements in the quotient ring are the cosets of the ideal. In the case of Z/2Z, the elements [0] and [1] represent the cosets of the ideal 2Z in the ring of integers. Since the ideal 2Z contains all even integers, the quotient ring Z/2Z reduces the integers modulo 2, yielding only two possible remainders, 0 and 1. Similarly, in Z/6Z, the elements [0], [1], [2], [3], [4], and [5] represent the cosets of the ideal 6Z in the ring of integers. The quotient ring Z/6Z reduces the integers modulo 6, resulting in six possible remainders, from 0 to 5.

Quotient rings of polynomials, denoted as F[x]/(p(x)), involve factoring out an ideal generated by a polynomial p(x). The resulting elements in the quotient ring are the cosets of the ideal. The degree of p(x) determines the degree of polynomials in the quotient ring. For example, if we consider the quotient ring F[x]/(x^2 + 1), the elements in the ring are of the form a + bx, where a and b are elements from the field F. The polynomial x^2 + 1 is irreducible, and by factoring it out, we obtain a quotient ring with polynomials of degree at most 1.

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The way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

\(\text{Area of composite figure} = \sum (\text{Area of composing figures})\)

That ∑ sign shows "sum"

Since the considered composite figure consists of a semicircle, trapezoid, and 2 rectangles, so we can find its area by their use.

Thus, the way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.

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Answer:

d

Step-by-step explanation:

i just finished the test

Using strong induction, we can prove that the square root of -2 is irrational by showing that it cannot be expressed as a fraction of coprime odd integers.

To prove that √-2 is irrational using strong induction, we need to show that for any natural number n, if the square root of -2 can be expressed as a fraction a/b, where a and b are coprime integers, then a and b must be odd.

We can start by using the base case, n = 1. Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers.

Now, let's assume that for all n ≤ k, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. We want to prove that this also holds for n = k+1.

Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers with a and b odd. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd.

By strong induction, we have proven that for any natural number n, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Therefore, √-2 is irrational.

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The probability that Sue will sit next to Bob is 96/24 = 4. So, the odds are 4:1.

We need to find out the odds that Sue will sit next to Bob. There is a round table with five different people. Therefore, the total number of ways that five different people can be seated at a round table is (5 - 1)! = 4!.

Thus, there are 24 ways that these five different people can be seated around the table. Now, let's say Sue and Bob are sitting next to each other. Thus, there are 4! = 24 ways in which they can be seated around the table. Now, Sue and Bob can be treated as a single unit since they are sitting together. So, there are a total of 48 + 48 = 96 possible ways that Sue will sit next to Bob in a 5 person round table. There are 24 possible ways that 5 people can be seated around the table.

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Answer:

f(x)=17

Step-by-step explanation:

f(x)=(2)2+4(2)+5

=4+8+5

=17

f(x)=17

Answer:

f(2) = 17

Step-by-step explanation:

f(2) - sub in the number 2 in x

(2)² + 4(2) + 5

4 + 8 + 5

f(2) = 17

The total distance travelled by the ball after dropping from a height of 16 feet and rebounds 0.81 feet is equal to 168.4 feet.

Balls from a height = 16 feet

Rebounds = 0.81feet

It form a geometric progression pattern :

16 + 16(0.81) + 16(0.81)² + 16(0.81)³ + ......+ ∞

Using sum of geometric progression :

S = a / 1 - r

here a = 16

r = 0.81

S represents the sum .

The total distance travelled by the ball is double of the sum .

S = 16 / ( 1 - 0.81 )

  = 16 / ( 0.19)

  = 84.2 feet

Total distance travelled by the ball  = 2 × 84.2 feet

                                                           = 168.4 feet

Therefore, the total distance travelled by the ball as per given situation is equal to 168.4 feet.

The above question is incomplete, the complete question is:

A ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance traveled by the ball .

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Answer:

D

Step-by-step explanation:

Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica

Answer:

x = 7

Step-by-step explanation:

7x-1+6x=90

Combine like terms

13x-1 = 90

Add 1 to each side

13x-1+1 = 90+1

13x = 91

Divide by 13

13x/13 =91/13

x = 7

Step-by-step explanation:

Number of boxes that will fit =2340

Step-by-step explanation:

The shipping box volume can be calculated by the formula V = Lxwxh ,where L ,w ,h are length ,width and height of the box.

The length of the shipping box =3\frac{3}{4} =\frac{15}{4} ft.

Width = 3 ft.

Height =3\frac{1}{4} =\frac{13}{4} ft.

Volume of shipping box =\frac{15}{4} .3 .\frac{13}{4} =\frac{585}{16} = 36.6 ft.cubic ft.

Volume of shipping box can also be calculated by multiplying base area with the height of box.

Base area of box = \frac{15}{4} .3=\frac{45}{4} square ft.

Volume of box = base area x height =\frac{45}{4} .\frac{13}{4} = 36.6 cubic ft.

Volume of packing cubes =\frac{1}{4} .\frac{1}{4} .\frac{1}{4} =\frac{1}{64} cubic ft.

Number of fish boxes that will fit in the shipping box = volume of shipping box ÷ volume of fish food box = 36.6 ÷ \frac{1}{64} =2340 .

Answer:

2340

Step-by-step explanation:

Answer:

-d+3.5≥4

Step-by-step explanation:

Just ask.

Hope this helps! :)

The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.

To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.

Among the options given:

a. 208 m has three significant figures.

b. 18050 m has five significant figures.

c. 0.08 m has two significant figures.

d. 0.750 m has three significant figures.

e. 12.0 m has three significant figures.

The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.

Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.

On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.

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Answer:

Sorry am not answer that because am desperate for points so am just going to get some points

Answer:

(x² + 7)²

Step-by-step explanation:

Oh I dare

We can start by noticing that this expression looks like a perfect square trinomial. Indeed, if we let y = x², then x⁴ + 14x² + 49 becomes y² + 14y + 49, which is a perfect square trinomial: (y + 7)².

Substituting back in for y, we get:

x⁴ + 14x² + 49 = (x² + 7)²

So, the expression factors completely as:

x⁴ + 14x² + 49 = (x² + 7)²

Answer: (x²+7)²

Step-by-step explanation:

x⁴+14x²+49 = (x²+7)(x²+7)

(x²+7)²

this shouldn't be wrong, ixl is hell..

fruck truck someone already took the dare

Answer:

greater average rate

Step-by-step explanation:

Answer: function A is correct  g(x)=x2+4x−8

Step-by-step explanation: i just got it correct

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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If Flyer Co. buys back 5102 shares of their $3 par value common stock for $17 per share. The amount debited to the treasury stock account to record the purchase would be $ 86,834.

To calculate the amount debited to the treasury stock account, we need to multiply the number of shares bought back by the price per share.

In this case, Flyer Co. buys back 5102 shares at $17 per share.

The amount debited to the treasury stock account is calculated as follows:

Amount = Number of shares bought back * Price per share

Amount = 5102 * $17

Amount = $86,834

Therefore, the amount debited to the treasury stock account to record the purchase would be $86,834.

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The system of inequalities did not have any solution, but after reversing the  sign we will get a solution of the system of inequalities.

The inequalities are : y > 2x + 2/3 and y < 2x + 1/3

There is no intersection and no solution to the system since the region above the line y = 2x + 2/3 and the region below the line y = 2x + 1/3, respectively, are the solutions to the inequality y > 2x + 2/3 and y <2x + 1/3, respectively.

Now when the signs are changed we get:

y < 2x + 2/3 and y > 2x + 1/3

The region below the line y = 2x + 2/3 is the solution of the inequality

y= 2x + 2/3, and the region above the line y = 2x + 1/3 is the solution of the inequality y > 2x + 1/3. This implies that the area between the two lines is where the system's solution lies.

Disclaimer: The complete question is :

How will the solution of the system y>2x+2/3 and y<2x+1/3 change if the inequality sign on both inequalities is reversed to y<2x+2/3 and y>2x+1/3?

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Answer:

There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions. 

Step-by-step explanation:

Sample answer

Answer:

about 30.9 feet

Step-by-step explanation:

Using the Pythagorean Theorem:

\( {l}^{2} + {10}^{2} = {32.5}^{2} \)

\( {l}^{2} = 956.25\)

\(l = 30.9\)

The percentile score of 71 on test score is 27 and the score of victor is 71.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula

\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60th percentile.

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

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