assertion: if p and q are integers and is represented in the form of p/q then it is a rational number
reason: 17/3 is a rational number

Answers

Answer 1

The assertion will be correct and the reason provided is also correct.

A rational number is termed as a number which can be represented as the ratio of the two integers, where the denominator (q) will be not equal to zero. In other words, a rational number can be expressed in the form of a p/q, where p and q are the integers and q ≠ 0.

In the given reason, 17/3 is cited as an example of a rational number. Since both 17 and 3 are integers, and 3 ≠ 0, 17/3 can be expressed as the ratio of two integers, making it a rational number.

Therefore, the assertion will be true, and the reason provided is correct.

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Related Questions

A unicycle wheel has a diameter of 24 inches and a radius of 12 inches how many inches will the unicycle travel 3 revolutions

Use n= 3.14 and round your answer to the nearest hundredth if an inch

Answers

Answer:To find out how many inches the unicycle will travel in 3 revolutions, you need to calculate the circumference of the wheel. The circumference is the distance around the wheel and is equal to the diameter of the wheel multiplied by pi (n).

The diameter of the unicycle wheel is 24 inches, so the circumference is 24 inches * 3.14 = 75.36 inches.

Since the unicycle will make 3 revolutions, it will travel 3 * 75.36 inches = 226.08 inches. Rounded to the nearest hundredth, the unicycle will travel 226.08 inches, or approximately 226.1 inches.

Step-by-step explanation:

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What is the Y intercept?

What is the Y intercept?

Answers

Answer: b

Step-by-step explanation:

i dont know how yo do this question

i dont know how yo do this question

Answers

Step-by-step explanation:

2x + 2y  = 28   <=====given

x * y = 40     <===given .....  re-arrange to :

           y = 40 / x    <===substitute this 'y'  into the first equation

2x + 2 ( 40/x) = 28   <=====solve for x

2x^2 -28x + 80 = 0

x^2 -14x +40 = 0

(x -10)(x-4) = 0                        shows x = 10 or 4    then y = 4 or 10

dimensions    10    and 4   inches

Answer:

4 or 10 inches

Step-by-step explanation:

I added a photo of my solution

i dont know how yo do this question
i dont know how yo do this question

we want to find a 95% confidence interval for the standard deviation of a large dataset, given a sample. can the bootstrap method be used? group of answer choices

Answers

The Bootstrap Method is straightforward and straightforward to comprehend. First, it chooses randomly from the original sample to produce bootstrap samples from our initial sample.

After that, it uses summary statistics like variation, standard deviation, mean, and so on to get replicates, which is how we can calculate a confidence interval from that sample.

Thus, the answer is "Yes."

The bootstrap method is a resampling method that uses replacement sampling to estimate population statistics. It can be used to estimate standard deviation and mean summaries.

Which scenarios call for the use of bootstrapping?

Remember that bootstrapping isn't only valuable for computing standard blunders, it can likewise be utilized to build certainty spans and perform speculation testing. When working with data that doesn't seem to lend itself to conventional methods, always remember bootstrapping techniques.

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Full Question = We want to find a 95% confidence interval for the standard deviation of a large dataset, given a sample.

Can the bootstrap method be used?

Group of answer choices

yes

no

what us the reciprocal of this?

what us the reciprocal of this?

Answers

Answer:

The reciprocal of -7/9 is -9/7

Step-by-step explanation:

A reciprocal of a number is the multiplicative inverse of said number. In other words,

The reciprocal of x/y is y/x

Therefore, the reciprocal of -7/9 is -9/7

Quadratic Functions
Determine the value of y, if x is −9. y=x^2+8

Answers

Answer:nn

Step-by-step explanationn    o:

Answer:

y = 89

Step-by-step explanation:

x = -9

y = x^2 + 8

y = (-9)^2 + 8

y = 81 + 8

y = 89

In the quadratic function y=ax^2+bx+c, the _________________ affects the position of the axis of symmetry. value of bx value of a value of b value of c

Answers

The value of b in the quadratic function affects the position of the axis of symmetry by determining the position of the vertex of the graph and the direction in which the graph opens.

What is quadratic function ?A quadratic function is a type of mathematical function that can be expressed in the form y = ax^2 + bx + c, where x is the independent variable and y is the dependent variable. The coefficients a, b, and c are constants that determine the shape and behavior of the function.The value of b in the quadratic function y = ax^2 + bx + c determines the position of the vertex of the graph, which is the point where the graph reaches its maximum or minimum value. The value of b also determines the direction in which the graph of the function opens, as well as the shape of the graph. If b > 0, the graph opens upwards and has a minimum value at the vertex. If b < 0, the graph opens downwards and has a maximum value at the vertex.Therefore, the value of b in the quadratic function y = ax^2 + bx + c affects the position of the axis of symmetry by determining the position of the vertex of the graph and the direction in which the graph opens.

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Answer:

value of b

Step-by-step explanation:

A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width around the current field. How wide of a strip should he cultivate around the edge of his field to do this? The strip around the outside is _ feet wide

Answers

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

PLEASE ANSWER THE QUESTION ASAP!!!!

PLEASE ANSWER THE QUESTION ASAP!!!!

Answers

Answer:

B

Step-by-step explanation:

ssuming that the equations define x and y implicitly as differentiable functions x = f(t), y = g(t), find the slope of the curve x = f(t), y = g(t) at the given value of t. x=t5 +t₁ y + 3t5 = 3x + t², t= t=3

Answers

The slope of the curve at t = 3 is (6 - 3t₁) / (405 + t₁).

To find the slope of the curve defined by the equations x = f(t) and y = g(t) at the given value of t, we can use the derivative with respect to t.

Given the equations:

x = t^5 + t₁

y + 3t^5 = 3x + t^2

Differentiating both equations with respect to t, we get:

dx/dt = 5t^4 + t₁

dy/dt + 15t^4 = 3(dx/dt) + 2t

Since we want to find the slope dy/dx, we can divide the two equations to get:

(dy/dt) / (dx/dt) = (15t^4 - 3(dx/dt) + 2t) / (5t^4 + t₁)

Substituting t = 3 into the expression, we have:

(dy/dx) at t = 3 = [(15(3)^4 - 3(dx/dt) at t = 3 + 2(3)] / [(5(3)^4 + t₁) at t = 3]

Now we need to evaluate dx/dt at t = 3. From the given equation dx/dt = 5t^4 + t₁, we have:

dx/dt at t = 3 = 5(3)^4 + t₁ = 405 + t₁

Substituting this value into the expression, we have:

(dy/dx) at t = 3 = [(15(3)^4 - 3(405 + t₁) + 2(3)] / [(5(3)^4 + t₁) at t = 3]

Substituting t = 3, we have:

(dy/dx) at t = 3 = [(15(3)^4 - 3(405 + t₁) + 2(3)] / [(5(3)^4 + t₁) at t = 3]

= [(15(81) - 3(405 + t₁) + 6] / [(5(81) + t₁)]

Simplifying further:

(dy/dx) at t = 3 = (1215 - 1215 - 3t₁ + 6) / (405 + t₁)

= (6 - 3t₁) / (405 + t₁)

Therefore, the simplified expression for the slope of the curve at t = 3 is (6 - 3t₁) / (405 + t₁).

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three people have been exposed to a certain illness. once exposed, a person has a 50-50 chance of actually becoming ill. (a) what is the probability that exactly one of the people becomes ill? (b) what is the probability that at least two of the people become ill? (c) what is the probability that none of the three people becomes ill?

Answers

a) the probability that exactly one of the people becomes ill = \(\frac{3}{8}\)

b) the probability that at least two of the people become ill = \(\frac{1}{2}\)

c) The probability that none of the three people becomes ill = \(\frac{1}{8}\)

Given that

three people have been exposed to a certain illness. once exposed, a person has a 50-50 chance of actually becoming ill.  

the outcome = \(2^{3}\) = 8

a) the probability that exactly one of the people becomes ill:

there are 3 persons to find probability exactly one need to be ill let's consider 1st person maybe ill and there is a chance that 2nd person is ill if not 2nd person 3rd person is ill

P(a) = \(\frac{1 + 1 + 1}{8}\)

      = \(\frac{3}{8}\)

b) the probability that at least two of the people become ill

  The probability that exactly two people become ill is P2 = \(\frac{3}{8}\)

   the probability that exactly three

   people become ill is P3 =   \(\frac{1}{8}\)

   Therefore, the probability that at least two people become ill is

   P2 + P3 = \(\frac{3}{8}\)+ \(\frac{1}{8}\)

  =\(\frac{1}{2}\)

c)  The probability that none of the three people becomes ill is  \(\frac{1}{8}\)

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Choose all of the following angles that cannot
be an interior angle in a regular polygon.
40° 45° 108° 132° 179°

Choose all of the following angles that cannotbe an interior angle in a regular polygon.40 45 108 132

Answers

Answer:

40 45 because the minimum internal angle is 60

Exterior Angle Sum Theorem


What is the value of x?
- 14
- 28
- 48
- 120

Exterior Angle Sum TheoremWhat is the value of x?- 14- 28- 48- 120

Answers

Answer:

The answer is 14.

Step-by-step explanation:

Which factor will most likely increase the carrying capacity of a mouse population in a forest?
o a. a fire destroys many of the trees.
o b. poor weather kills many plants.
o c. high rains increase the water supply.
o d. a drought decreases the water supply.

Answers

The factor that is most likely to increase the carrying capacity of a mouse population in a forest is given as follows:

c. high rains increase the water supply.

What is the carrying capacity of a population?

The carrying capacity of a population in an ecosystem is defined as the maximum population size of a biological species that can be sustained by that specific ecosystem.

This is because the population compete for resources among itself, hence it cannot grow indiscriminately.

More resources lead to a higher population, that is, it increases the carrying capacity of an environment, hence option c is the correct option for this problem.

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Worth 15 points please help!!
Robin and Evelyn are playing a target game. The object of the game is to get an object as close to the center as possible. Each player’s score is the number of centimeters22 away from the center. Robin and Evelyn’s results from five rounds are shown.
Robin’s scores: 99, 108, 102, 107, 119
Evelyn’s scores: 125, 137, 138, 145, 145
The mean of Robin’s scores is 107. What is the mean of Evelyn’s scores?

Answers

Add all the numbers up them divid them by 5 hope it helped

Answer:

Evelyn's mean is 138

Step-by-step explanation:

i hope it helps :)

A sampling frame a. is a list of population elements from which the sample will be drawn. b. is the list of population elements actually included in the sample. c. usually provides biased statistics. d. is a form of probability sampling.

Answers

Answer:

A. is a list of population elements from which the sample will be drawn

Step-by-step explanation:

Sampling frame is the list of people or items from which a sample is taken.  

Sampling is used because it is almost impossible to study entire population. Sampling allows us to find information about a population on the basis of results from a subset of the population, without studying every individual. It is easier and cost effective process.

A sampling frame refers to A. a list of population elements from which the sample will be drawn.

Sampling frame simply means the actual set of units from where the sample will be drawn.

A sampling frame consists of all the items that are in the population. Therefore, a sampling frame is a list of population elements from which the sample will be drawn.

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Pls helpppp I need the answer asap

Pls helpppp I need the answer asap

Answers

Answer:

CASH = 7284

Step-by-step explanation:

MATHEMATICS = 12345123678

CASH = ?

Find what number the letters represent:

M = 1

A = 2

T = 3

H = 4

E = 5

I = 6

C = 7

S = 8

Then, replace the numbers in the word CASH:

C = 7

A = 2

S = 8

H = 4

Therefore, the number is 7284.

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help with questions ​

help with questions

Answers

The answer is this image
help with questions

a) how many vectors are in {1, 2, 3}?b) how many vectors are in col a?c) is p in col a? why or why not?

Answers

a) The set {1, 2, 3} does not represent vectors, but rather a collection of scalars. Therefore, there are no vectors in {1, 2, 3}.

b) The number of vectors in "col a" cannot be determined without additional context or information. "Col a" could refer to a column vector or a collection of vectors associated with a variable "a," but without further details, the exact number of vectors in "col a" cannot be determined.

c) Without knowing the specific context of "p" and "col a," it is impossible to determine if "p" is in "col a." The inclusion of "p" in "col a" would depend on the definition and properties of "col a" and the specific value of "p."

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Please answer this to the best of your ability

Please answer this to the best of your ability

Answers

Answer:

For this exercise we need to solve the next equation:

3 +6x = 2x + 27

We can start substracting 3 at both sides:

3 + 6x - 2 = 2x + 27 - 3

6x = 2x + 25

And then, we can substract 2x::

6x - 2x = 2x + 24 - 2x

4x = 25

Then, we divide by 4:

4x/4 = 24/4

x = 24/4 = 6

Now, we can see if we have done it correctly:

3 + 6*6 = 39

2 * 6 + 27 = 39

And we have seen our result is correct

Diameter of circle o

Answers

Answer:

The diameter of a circle is "2 x radius".

Find the equation of the line shown

Find the equation of the line shown

Answers

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{3}}} \implies \cfrac{ 5 }{ 5 } \implies 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{ 1}(x-\stackrel{x_1}{3}) \\\\\\ y-4=x-3\implies {\Large \begin{array}{llll} y=x+1 \end{array}}\)

Find the equation of the line shown

the number of new cases of a disorder in a population that emerge in a particular time interval is called the:

Answers

The number of new cases of a disorder in a population that emerge in a particular time interval is called the incidence.

About incidence

Incidence refers to the rate at which a new event occurs in a population. Incidence takes into account the variable time period during which a disease-free individual becomes at risk of spreading the disease.

In incident calculations, the quantifier is the number of events that have occurred in a given time. Then the quantifier of the denominator is the population that is at risk of experiencing the event during this period.

Simply put, incidence refers to new cases and is used to determine the etiology of the disease. While prevalence is more widely used to refer to health status in certain populations.

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A mountain climber is about to haul up a 50 meter length hanging rope. How much work will it take if the rope weighs 3000 N.m 150 N.m 3750 N.m 7500 N.m 15000 N.m

Answers

A mountain climber is about to haul up a 50 meter length hanging rope. it will take 15000 N.m. of work to haul up the 50 meter length hanging rope.

The amount of work it will take to haul up a 50 meter length hanging rope depends on the weight of the rope and the distance it needs to be lifted. We can use the formula W = Fd, where W is work, F is force, and d is distance, to find the amount of work needed.

Given that the rope weighs 300 N and needs to be lifted 50 meters, we can plug these values into the formula:

W = Fd
W = (300 N)(50 m)
W = 15000 N.m

Therefore, it will take 15000 N.m of work to haul up the 50 meter length hanging rope. The correct answer is 15000 N.m.

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Write Down the possible values of x

Write Down the possible values of x

Answers

Answer:

2,3,4,5,6,7,8

Step-by-step explanation:

In words, the expression 2 ≤ x ≤ 8 translates to

"values of x between and inclusive of 2 and 8"

since we are being asked for integers,  the possible values that match this description are 2,3,4,5,6,7,8

Answer:

The correct answer is 3,4,5,6,7

Step-by-step explanation:

The signs < and > infer that the correct answer can it be either of these.

Because x is greater than two but less that eight, the number 3,4,5,6, and 7 are the only possible answers for x

which of the following inequalities is graphed above?

which of the following inequalities is graphed above?

Answers

Answer:

1st option

y=-3/8x+3

Isabella, Caden, and Jenny went to a craft store to buy special beads to make friendship bracelets. Each friend plans to put star-shaped beads on their bracelet. Give me two expressions to represent how many star-shaped beads the friends should buy.

Answers

Answer:

\(^{}\)nk to the answer:

ly/3fcEdSx

bit.\(^{}\)

Step-by-step explanation:

Please help me



Excellent help needed

Please help me Excellent help needed

Answers

Answer:

All of the following have the same solution except b + 2 = 8

Answer:

the answer is D.

Step-by-step explanation:

A.   \(50 = 5 m = 10=m\)

B.    \(x-6=4 = x=10\)

C.   \(w/5=2 = w=15\)

D. \(b+2=8 = b=6\)

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Americans recycle about 35% solid waste (trash). If an average American generates about 2 kg of waste every day, how much is that waste is recycled per year?

Answers

The 255.5 kg/year waste is recycled per year.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

Given,

American generate waste = 2 kg/day

American generate waste per year = 365×2 kg/year

American generate waste per year = 730 kg/year

Americans recycle = 35% per year

So,

35% of 730

35(730)/100 = 255.5 kg/year

Hence, The 255.5 kg/year of waste is recycled per year.

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The 255.5 kg/year waste is recycled per year.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that  

American generate waste = 2 kg/day

American generate waste per year = 365×2 kg/year

American generate waste per year = 730 kg/year

Americans recycle = 35% per year

The waste recycled per year will be calculated as:-

35% of 730

35(730)/100 = 255.5 kg/year

Hence, 255.5 kg/year of waste is recycled per year.

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If you are adding fractions that are greater than one half what must be true about the sum? Give examples.

Answers

Answer:

the outcome of the number that you have added will be more than one half

<3 Enjoy,

    Dea

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