Graph the function h(x)=-3/x by completing the table of values and plotting points.How does the graph compare to its parent function, f(x)=1/x? Describe any change for each of the following

Answers

Answer 1

Using translation concepts, the graph of h(x) = -3/x is given at the end of the answer. Compared to the parent function, it was vertically stretched by a factor of 3 and reflected over the x-axis.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent and translated functions are given, respectively, by:

f(x) = 1/x.h(x) = -3/x.

The translations are described as follows:

Multiplication by a negative number, hence it was reflected over the x-axis.Multiplication by a number with absolute value of 3, hence the function was vertically stretched by a factor of 3.

The graph of h(x) is given at the end of the answer, containing points such as:

(-3,1).(-1,3).(1,-3).(3,-1).

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Graph The Function H(x)=-3/x By Completing The Table Of Values And Plotting Points.How Does The Graph

Related Questions

the median net worth of families headed by a person thirty-five to forty years old was 30 percent less in 2010 than it was for their counterparts in 1983.

Answers

Final answer:

The statement that the median net worth of families headed by a person thirty-five to forty years old was 30 percent is a true statement.

In statistics, what does median mean ?

In statistics, the median is the value that, when placed in order, falls in the middle of the supplied collection of data. Either ascending or descending order can be used to organize the data or observations. The median of 2,3,4, for instance, is 3. The median is a type of average used to determine the middle value in mathematics. The median is the value that falls in the middle when a group of values are arranged from smallest to greatest. The value that appears the most frequently in the set is the mode. In cases where the distribution is skewed or contains outliers, the median is the most illuminating indicator of central tendency.

Explanation:

The net-worth of families have a drastic change when compared to previous years as the economy has developed and while comparing the net-worth of income between years, the median method is useful in all ways and so the median net worth of families headed by a person thirty-five to forty years old was 30 percent less in 2010 than it was for their counterparts in 1983 is proved to be true.

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0.3. human iq scores are approximately normally distributed with a mean of 100 and a standard deviation of 15. the minimum iq score for the top 10% of the population.

Answers

The minimum IQ score for the top 10% of the population is 0.0179.

Standard deviation:

Standard deviation means the root of the variance in the given grouped or ungrouped data.

The standardized value is the value decreased by the mean, divided by the standard deviation:

z =   (x- μ) / σ

where

x: the observation (a specific value that you are calculating the z-score for).

Mu(μ): the mean.

Sigma(σ): the standard deviation.

Given,

The human IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15.

Here we need to find the minimum IQ score for the top 10% of the population.

We know that,

x = 131.5

μ = 200

σ = 15

So, when we apply the values on the formula,

Then we get,

=> z = 131.5 - 100 /15

=> z = 2 .10

Determine the corresponding probability using table A-2:

=> P(Z>2.10) = 1 − P(Z<2.10)

=> 1 − 0.9821

=> 0.0179

Therefore, the minimum IQ score for the top 10% of the population is 0.0179.

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1 let (sn) and (tn) be sequences and suppose there exists n0 such that sn ≤ tn for all n>n0. show lim inf sn ≤ lim inf tn and lim sup sn ≤ lim sup tn. hint: use definition 10.6 and exercise 9.9(c).

Answers

The statement lim infn sₙ > lim infn tₙ and lim sup sₙ ≤ lim sup tₙ is proved such that sₙ ≤ tₙ for all n≥n₀.

What do you mean by inf and sup?

The biggest element in P, if one exists, that is less than or equal to each element of S is known as the infimum of a subset S of a partially ordered set P. As a result, the phrase largest lower bound is also frequently employed. A set's infimum is its highest upper bound, while its supremum is its lowest upper bound. The supremum is the smallest upper bound of a set, whereas the maximum is the largest member of a set. The largest number in one column that is less than or equal to the target value in the other column is found using the greatest lower bound (glb) operator. The smallest number that is larger than or equal to the target number is discovered using the least upper bound (lub) operator.

Let us suppose that sₙ ≤ tₙ if n≥N, but that

lim infn sₙ > lim infn tₙ.

Let [tex]E_{s}[/tex] denote the set of all subsequential limits of {sₙ}, and let [tex]E_{t}[/tex] denote the set of all subsequential limits of {tₙ}. Then

inf [tex]E_{s}[/tex] >inf [tex]E_{t}[/tex].

This implies that there exists some x∈[tex]E_{t}[/tex] such that inf [tex]E_{s}[/tex] >x>inf [tex]E_{t}[/tex]., since otherwise inf [tex]E_{t}[/tex]. would not be the greatest lower bound of [tex]E_{t}[/tex]. Hence some subsequence of {tₙ}, say {tₙ}, converges to x< inf [tex]E_{s}[/tex].

lim sup sₙ ≤ lim sup tₙ.

Let [tex]E_{s}[/tex] denote the set of all subsequential limits of {sₙ}, and let [tex]E_{t}[/tex] denote the set of all subsequential limits of {tₙ}. Then

sup [tex]E_{s}[/tex] ≤ sup [tex]E_{t}[/tex].

This implies that there exists some x∈[tex]E_{t}[/tex] such that sup [tex]E_{s}[/tex] ≤ x ≤ sup [tex]E_{t}[/tex]., since otherwise sup [tex]E_{t}[/tex]. would be the greatest lower bound of [tex]E_{t}[/tex]. Hence some subsequence of {tₙ}, say {tₙ}, converges to x< sup [tex]E_{s}[/tex].

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B
Name the obtuse angle
A
D
159 160 170
E

Answers

Answer: It is m<BAE or measure of angle BAE

Step-by-step explanation:

1. Based by the m<CAE, 135 - 45 equals to 90, so that is not an obtuse angle, m<BAD is the same thing, so those 2 aren't it

2. m<CAD is 65, which is way too low for an obtuse angle, and m<DAE is way too small as well since it's angle is 25, making m<BAE a correct answer

Evaluate each expression the equation is b(9-c) those are on top and on bottom we have a^2. B=6 a=4 and c=8

Answers

Hey there!


b(9 - c) / a^2

= 6(9 - 8) / 4^2

= 6(1) / 4^2

= 6/4 * 4

= 6/16

= 6 ÷ 2 / 16 ÷ 2

= 3/8


Therefore, your answer should be:

3/8


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Ted works as a nurse anesthetist. He is
paid a semimontly salary of $3,950. What
is his annual salary?

Answers

Answer:

94800

Step-by-step explanation:

Answer:

94,800

Step-by-step explanation:

Well semimonthly means 2 times a month

If you multiply 3,850 by 2 you get 7,900

Then simply multiply 7,900 by 12 (12 months in a year) and you get 94,800

Rewrite: [tex]15\frac{1}{6}[/tex]% as a decimal. Round to the nearest thousandths.

Answers

Rewriting 15 1/6 as a decimal, rounded to the nearest thousandths, is: 1,516.667.

How to Rewrite a Number as a Decimal?

To rewrite the percentage, 15 1/6% as a decimal do the following as shown below:

Convert 15 1/6 from mixed number to an improper fraction:

91/6

Multiply 91/6 by 100:

91/6 × 100

= 9,100/6

Divide

9,100/6 = 1,516.667

Thus, rewriting 15 1/6 as a decimal, rounded to the nearest thousandths, is: 1,516.667.

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how do I solve

-3(1+6r)=14-r

Answers

Answer: r = -1

Step by step: -3(1 + 6r) = 14 - r
Start by distributing the -3 into the parenthesis
-3 -18r = 14 -r
Now add 3 to each side to eliminate it from the left
-18r = 17 -r
Now add 1r on each side to eliminate it from the left
-17r = 17
Now divide -17 by both sides
R = -1

Answer: -1

Step-by-step explanation:

Multiply -3 to (1+6r)

-3 - 18r = 14 - r

Then, group like terms and change the signs

-18r + r = 14 + 3

Add

-17r = 17

Divide 17 by 17 to solve for r

r = 17/-17

r = -1

An airliner makes a 3,000 mile flight in 7 hours. What is the airliners average rate of speed in miles per hour ?

Answers

To find the average rate of speed per miles an hour, do the following equation: miles ÷ hour = miles per hour.

So, we divide 3,000 ÷ 7 = 428.5714285714 but we can make round it to 429.

The airliners average rate of speed in miles per hour is 429 miles per hour.

A person needs $
4500 to visit foreign countries. If $ 1 = NRs. 120.92 and the bank charge 2% as onmmission, bow many Nepali rupees does the person require to exchange $4500? Find it.​

Answers

Nepali rupees that the person requires to exchange $4500 will be equal to NRs. 555,022.8.

We know that:

$ 1 = NRs. 120.92

We are also given that a person needs $ 4500 to visit foreign countries.

Also, for the conversion, bank charges commission as 2 %

Now, $ 4500 in NRs. will be calculated by multiplying 120.92 with $ 4500.

$ 4500 = NRs. 120.92 × 4500

$ 4500 = NRs. 544,140

Now the commission charged by the bank will be:

2 % of 544,140

Commission = 2 / 100 × 544,140

Commission = NRs. 10,882.8

So, the amount the person will require to get $ 4500 will be = NRs. 544,140 + 10,882.8

= NRs. 555,022.8

Therefore, Nepali rupees that the person requires to exchange $4500 will be equal to NRs. 555,022.8.

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Tai wants to frame a 3 x 5 picture surrounded by 2 inches of mat. How large will her frame need to be?​

Answers

The frame needs to be a 5x7

Angela is making snack bags for a hiking trip with her friends she has 28 granola bars and 45 package packs of string cheese. If the snacks are to be identical without any food left over how many snack bags can she make.

I need to figure out if its GCF or LCM

Answers

If the snacks are to be identical without any food left over only one snack bags can  be made by Angela

The number of granola bars = 28

The number of pieces of dried fruit = 45

If the snack bags should be identical without any food left over, then we need to find out  the greatest number of snack bags, we should find out the Greatest common factor(GCF) or highest common factor(HCF) between 28  granola bars and 45 packages of string cheese

Since , factors of 28 = 1, 2, 4,7,14,28

Factors of 45 = 1, 3,5,9,15,45

Common factors of 28 and 45 = 1

Greatest Common factors of 28 and 45 = 1

Hence, the greatest common factor of 28 and 45 is 1 as only 1 is the common factor in the factors of 28 and the factors of 45.

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Solve for X. I need help please

Answers

i think it’s 45.5, but don’t quote me

simplify
the square root of 5 times 3 to the square root of 5
a= 5 and 5/6
b= 5 and 1/6
c= 5 and 2/3
d=5 and 7/6

Answers

Answer:

Step-by-step explanation:

C

The graph of the absolute value parent function, f(x) = Ixl, is stretched
horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
O A. g(x) = |x|
B. g(x) = 16x1
C. g(x) = x + 6|
O D. g(x) = 61x1

Answers

Transformations are used to move a function from one position to another. The function of g(x) is g(x) = | x/6|.

Given that:

f(x) = |x|

The rule of a horizontal stretch by factor k is:

(x, y) → (x/k,y)

This means that:

g(x) = f(x/k)

In this case, k = 6

So, we have:

g(x) = f(x/6)

Calculate f(x/6)

f(x/5) = |x/6|

Hence, the function of g(x) is

g(x) = |x/6|.

A function is defined as a relation between a set of inputs, each with an output. Simply put, a function is a relationship between inputs, each associated with exactly one output. Each function has a domain and a codomain or scope. Functions are commonly denoted by f(x). x is the input.

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a car starts from a point at 2:00 p.m. and travels north at 40 mph. another car starts from the same point at 3:00 p.m. and travels west at 50 mph. after the second car has traveled 1 h, at what rate is the distance between the two cars changing?

Answers

The distance between the cars changes by 60.42mph.

What is distance?

Distance is a measurement of how far apart two objects or locations are. Distance in physics or common language can refer to a physical length or an assumption based on other factors. |AB| is a symbol that can be used to represent the distance between two points. "Distance from A to B" and "Distance from B to A" are frequently used interchangeably. A distance function or metric is a technique to describe what it means for elements of some space to be "close to" or "far away" from each other in mathematics. It is a generalization of the idea of physical distance. Through dimensions like time, space, and isolation, an object may be psychologically distanced from itself.

Calculations:

[tex]d=\sqrt{80^{2}+50^{2} } \\[/tex]

d=94.34

1st car -- 40mph/hr

2nd car-- 50 mph/hr

The positions of cars at 4pm

Distance travelled by 1st car = 80m

Distance travelled by 2nd car = 50m

[tex]d^{2}=a^{2} +b^{2}[/tex]

2d.dd/dt=2a(da/dt) +2b(db/dt) =d(dd/dt) =a(da/dt)+b(db/dt)=94.34(dd/dt)=50*50+80*40

dd/dt=(2500+3200)(94.34)  =60.419

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Find parametric equations for the line passing through the points p(2, 4, 2) and q(5, 5, 3).

Answers

The parametric equations for the line passing through the points p(2, 4, 2) and q(5, 5, 3) are x=2+5t, y=4+5t and z=2+3t.

What is parametric equation?

The same values may be expressed by a variety of alternative parameterizations because parametric representations are typically non-unique (see the "Examples in two dimensions" section below).

In addition to curves and surfaces, higher dimensional algebraic varieties can also be described by parametric equations; in this case, the number of parameters is equal to the dimension of the manifold or variety, and the number of equations is equal to the dimension of the space in which the manifold or variety is taken into account (for curves the dimension is one and one parameter is used, for surfaces dimension two and two parameters, etc.).

In kinematics, where the motion of an object is represented by equations using time as the parameter, parametric equations are frequently utilized.

Calculations:

Parametric equation of line PQ is

x=2+5t,y=4+5t and z=2+3t

parametric equation of line AB is

x=x1+tx2, y=y1+ty2 and z=z1+tz2

Here as we have P(2,4,2) and Q(5,5,3)as two points,

parametric equation of line

PQ is x=2+5t, y=4+5t and z=2+3t

i.e.

x=2+5t, y=4+5t and z=2+3t

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is 80.279 and 18/25 a rational.or irrational

Answers

Answer:

both are rational numbers

Step-by-step explanation:

Answer:

both are irrational numbers.

Step-by-step explanation:

Need help right now with this math problem

Answers

Answer:

85

Step-by-step explanation:

To find the mean, you have to add all the scores up and divide it by how many scores there are. In this case, there are seven scores, so we first add them up.

70+75+80+85+90+95+100=595

Now, we divide 595 by 7.

595/7=85

Hope this helps!

Have a wonderful day! :D

Answer: It is 5.3 based by rounding by it's tenth

Step-by-step explanation:

1. Add it all, in this case (3*2) + (7*2) + (8*2) + 1 which equals to 6 + 14 + 16 + 1

2. This then becomes 20 +17, which is 37, which we then divide by 7 becomes 5.285, or 5.3

The assembly time for a product is uniformly distributed between 2 to 10 minutes. what is the value of probability density function in the interval between 2 and 10?

Answers

The value of probability density function in the interval between 2 and 10 is 0.125.

What is probability density function?

A probability density function (PDF), also referred to as the density of a continuous random variable (CRV), is a mathematical function whose value at any particular sample (or point) in the sample space (the range of possible values that the RCV can take), can be interpreted as providing a relative likelihood that the RCRV's value would be close to that sample. Since there are an infinite number of possible values to begin with, the probability per unit length for a continuous random variable to take on any particular value is 0, but the value of the PDF at two different samples can be used to infer, in any given draw of the random variable, even though the absolute likelihood is zero.

Given the assembly time for a product is uniformly distributed between 2 to 10 minutes.

The Probability density function in the internal between 2&10

pdf=1/10-2      = 1/8pdf = 0.125

The probability density function in the interval between 2 and 10 is 0.125.

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paulina and montrose are developing a personality survey and they want to obtain an estimate of its reliability. paulina administers the survey to a group of employees one day and then she administers the exact same survey to the same employees the following week. montrose took a different approach and developed two different, yet equivalent forms of the survey and administered both forms to a sample of employees. paulina is most likely assessing reliability, while montrose is most likely assessing reliability

Answers

Paulina is most likely assessing "Test-retest reliability", while Montrose is most likely assessing "Parallel forms reliability."

What is termed as reliability?

The consistency with which a method attempts to measure something is indicated by its reliability. The same method applied to the same sample in the same conditions should yield the same results. If not, the measurement method may be unreliable.

Some key points related to the reliability are-

Test-retest reliability assesses the consistency of the findings when the same test is performed on the same sample at different points in time. When measuring something which you expect to remain constant in your sample, you use it.The correlation among two equivalent versions of the a test is measured by parallel forms reliability. When you have two distinct evaluation tools or sets of questionnaire prepared to measure the same thing, you use it. It is often necessary to develop different versions of tests in educational assessment.

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estimate the number of gallons of gasoline consumed by the total of all automobile drivers in the u.s., per year. suppose that there are about 3 × 108 people in the united states, approximately half of the them have cars, each car drives an average of 12,000 mi per year, and consumes a gallon of gasoline for each 20 mi .

Answers

The number of gasolines is 1,800,000 miles driven.

What are gasolines?

­Gas is known as an aliphatic hydrocarbon. All in all, gas comprised of particles made out of nothing, yet hydrogen and carbon organized in chains. Fuel particles have from seven to 11 carbons in each chain. Gas or petroleum is a straightforward, oil determined combustible fluid that is utilized principally as a fuel in most flash touched off gas powered motors. Fuel is as of now thought to be frozen in the event that it transforms into a thick slop or wax. To absolutely keep away from frozen gas inside the vehicle, center around forestalling the fuel line from freezing during winter. Fuel fumes are heavier than air, so they choose the ground and travel like a fluid. Along these lines, they frequently track down their direction into channels, storm cellars, and sewer lines.

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Which expression has a value of less than 2 when x=5? select all that apply.

A. x to the power of zero divided by 4

B. x to the power of one divided by 7 to the power of zero

C. (50 divided by x to the power of 2) to the power of zero

D. 2( 10 divided by x) to the power of zero

F. x to the power of zero divided by x to the power of 2

Answers

The expressions that have numeric value of less than 2 when x = 5 are:

A. x to the power of zero divided by 4.

C. (50 divided by x to the power of 2) to the power of zero

E. x to the power of zero divided by x to the power of 2

How to find the numeric value of a function/expression?

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For item a, the expression is:

x^0/4 = 1/4 < 2.

For item b, the expression is:

x/(7^0) = x.

When x = 5, the expression has a numeric value of 5 > 2.

For item c, the expression is:

(50/x^2)^0 = 1 < 2.

For item d, the expression is:

2(10/x)^0 = 2 x 1 = 2 = 2.

For item e, the expression is:

x^0/x^2 = 1/x^2.

When x = 5, the expression has a numeric value of 1/25 < 2.

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Suni needs to repay her school loan in 4 years.How much must she semiannually deposit into an account that pays 0.9% interest, compounded semi annually, to have $100,000 to repay the loan?

Answers

Suni needs to deposit $12,304.45 semiannually to have $100,000 to repay the loan at 0.9% interest.

What are periodic payments?

Periodic payments are equal payments made periodically to settle a mortgage loan.

The periodic payment for a loan can be computed using an online finance calculator.

Data and Calculations:

N (# of periods) = 8 times (4 years x 2)

I/Y (Interest per year) = 0.9%

PV (Present Value) = $0

FV (Future Value) = $100,000

Results:

PMT = $12,304.45

Sum of all periodic payments = $98,435.60 ($12,304.45 x 8)

Total Interest $-1,564.40

Thus, the periodic deposit that Suni needs to make semiannually to have $100,000 to repay the loan at 0.9% interest is  $12,304.45.

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if c is a matrix with five rows and three columns, then what is the minimum possible number of rows of zeros in any row echelon form

Answers

the minimum possible number of rows of zeros in any row echelon form is 2

What is echelon form of a matrix?

If a matrix in linear algebra has the structure that comes from a Gaussian elimination, it is said to be in echelon form. The bottom row has solely zeros, as do all other rows. A nonzero row's pivot, also known as the leading coefficient, is always located strictly to the right of the leading coefficient of the row above it.

The row echelon form of 5 × 3 matrix is given by -

                                        [tex]\left[\begin{array}{ccc}1&a&b\\0&1&d\\0&0&1\\0&0&0\\0&0&0\end{array}\right][/tex]

As we can see, the number of rows containing zeros are 2.

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meaning of prime numbers​

Answers

Answer:

the number which has no factors is known as prime number

Answer: numbers that have only 1 and itself as factors.

Step-by-step explanation:

The sum of the squared deviation scores is ss = 20 for a population of n = 5 scores. what is the variance for this population?

Answers

When the sum of the squared deviation scores is SS=20 for a population n=5 scores, then the variance for this population is 4

Given,

The sum of the squared deviation scores SS= 20

Population of n= 5

Then the variance = SS/n

Substitute the values in the equation

The variance = [tex]\frac{20}{5}[/tex]

=4

Hence, when the sum of the squared deviation scores is SS=20 for a population n=5 scores, then the variance for this population is 4

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the midpoint of uv is m(10, 6). one endpoint is v(10, 7). find the coordinates of the other endpoint u.

Answers

The answer is u = (10, 5)

Step-by-step explanation:

Imagine u = (x, y)

10 = x/2 + 10/2

10 = x/2 + 5

20 = x + 10

x = 20 - 10

x = 10

u = (10, y)

6 = y/2 + 7/2

6 = y/2 + 3.5

12 = y + 7

y = 5

u = (x, 5)

Thus, u = (10, 5)

HELOPPP
What number is 0.1 more than 30.7?
Responses

30.71
30.71

30.8
30.8

31.7
31.7

31.8

Answers

Answer:

Step-by-step explanation:

its 30.8. this is because .7 + .1 = .8 . Now just add that to the 30 and you get 30.8

Answer:

30.8

Step-by-step explanation:

All you have to do is take the 0.1 and add it to the 30.7 so you would add it to the .7 which gives you 8 and now just put the 30 back with your decimal

two polynomials with integer coefficients are relatively prime in q[x] if and only if the ideal they generate in z[x] contains a (nonzero) integer

Answers

Certain polynomials with integer coefficients fall into the category of substantially prime polynomials in q[x] if and only if the ideal they create in z[x] contains a (nonzero) integer.

What are polynomials?

A polynomial is an expression in mathematics that consists of indeterminates (also known as variables and coefficients) that exclusively uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. x2 4x + 7 is an illustration of a polynomial of one uncertain x.

In both mathematics and science, polynomials are widely used. For instance, they are used to define polynomial functions, which can be found in a variety of contexts, from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems.

Calculations:

Let d=degP.

Then the Q-vector space V=Q[X]/(P) is d-dimensional.

The residue classes modulo (P) of X2,X3,X5,… are linearly dependent over Q, so there exist a2,a3,a5,…∈Z not all zero such that a2X2+a3X3+a5X5+⋯∈(P).

This shows that there is Q∈Z[X], Q≠0 such that PQ=a2X2+a3X3+a5X5+⋯.

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The __________ is a standard instrument used in south indian kriti performance. ( SCIENCE ! ) In 35 sentences, explain the reasons for the differences in daylight and darkness at the North Pole and South Pole on the December solstice. on january 1, 2021, fisher corporation paid $2,857,000 for 31 percent of the outstanding voting stock of steel, inc., and appropriately applied the equity method for its investment. any excess of cost over steels book value was attributed to goodwill. during 2021, steel reports $648,000 in net income and a $1,052,000 other comprehensive income loss. steel also declares and pays $20,000 in dividends. The heart rate of 10 adults is measured, and the results are 83, 87, 90, 92, 93, 100, 104, 111, 115, 121. Find the interquartile range of the data set. a21 b38 c90 d96.5 what were some successes of the new deal check all that apply as cited in the chapter, edward deming, a famous businessman, once said, "in god we trust. all others bring data." what did deming mean in terms of developing a strategic plan? Critical value levels influence all of the following except __________. A. statistical power B. sample size C. probability of significance D. statistical support Please select the best answer from the choices provided A B C D(D is wrong) A+store+has+a+sale+with+10%+off+every+item.+when+you+enter+the+store,+you+receive+a+coupon+that+states+that+you+receive+an+additional+20%+off.+is+this+equal+to+a+30%+discount?+explain+your+answer. Do you think the Founding Father's American Dream still exists in society society today? The department of transportation of a city has noted that on the average there are 17 accidents per day. the average number of accidents is an example of? if the water in a lake is everywhere at rest, what is the pressure as a function of the distance from the surface? including tax, allie pays $8652.60 for a used car, if the price before tax was $8280, what is the tax rate where allie lives A moving average can be used to smooth:__________1) cyclical variation 2) seasonal variation 3) irregular variation 4) all responses are correct There are 9 different positions on a baseball team. if a team has 13 players how many different line-ups can the team make? the team can make different line-ups. a game in which one person tries to trap another in a mistake, lie, or some other type of negative situation is known as a game Joe's employer will reimburse him $0.17 per mile driven. If Joe drives 185.74 miles on a business trip, what is his mileage reimbursement? Round your answer to the nearest cent. Can emotional design really evoke emotion in multimedia learning? A small bottle has a mass of 20 g when empty. The volume of the bottle is 10 cm3. When full of liquid, the total mass is 150 g. What is the density of the liquid? If a car accelerates from a stand still to 60 km/s in 10 seconds what is its acceleration 1. Ralf and Susie share $57 in the ratio 2:1.(a) Calculate the amount Ralf receives.(b) Ralf gives $2 to Susie.Calculate the new ratio Ralf's money: Susie's money.Give your answer in its simplest form