If p and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false.
answer choices are
The product pq is irrational.


The product pt is irrational.


The quotient pq is irrational.


The product st is irrational.


The quotient st is rational.

Answers

Answer 1

Answer:

The false choices are A, C, and E

Step-by-step explanation:

Let's make an example:

p=1

q=2

s=sqrt(3)

t=sqrt(6)

Since pq=1*2=2, the answer is rational and A is false.

Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.

Since p/q=1/2=0.5, the answer is rational and C is false.

Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.

Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.

Answer 2

The false statements are:

The product pq is irrational.

The quotient pq is irrational.

The quotient st is rational.

A rational number is a number can be expressed as a fraction of two whole numbers. While, an irrational number is a number that cannot be expressed as the fraction of two whole numbers.

Examples of rational numbers are: 6, 2,3

Examples of irrational numbers are: √2, √3

Let p and q be represented with 2 and 6 respectively.

The product of 2 and 3 = 2 x 6 = . The number is a rational number

Let p and t be represented with 2 and √2 respectively.

The product of 2 and √2 = 2 x√2 = 2√2. The product is irrational

The quotient of pq = 6 /2 = 3.

The quotient is rational.

Let s and t be represented with √2, √3. The product is √2 x √3 = √6. The product is irrational.

The quotient of s and t = √2 /√3.

The number is irrational.

To learn more about rational numbers, please check: https://brainly.com/question/15815501?referrer=searchResults


Related Questions

Based on the data in the table, how many members would
you expect in the band in 2019?
Year
Number of Band
Members
2014
40
2015
46
2016
54
2017
64

Answers

Answer:

90

Step-by-step explanation:

It starts going up by 6. Then it goes up by 2 more than six. 6, 8, 10. Going up 2 more than last time. 2018 would be 12 more, or 76, and 2019 would be 14 more, or 90.

Which equation represents a line which is parallel to the line 5x-4y=-12?

Answers

Answer:

Attached image

Hey can you show us the answer choices? Also to solve your equation you have to find out your slope so you’d have to solve the question given to you.

1. 5x-4y=12 (move the x)

2. -4y=12-5x (it’s negative 5 because you do the opposite of positive 5)

3. -4y=12-5x (divide the number in front of y from both sides)

4. Slope should be (5/4) and b should be 3

5. Equation should be y=(5/4)x+3

y=7-x in standard form please help

Answers

Answer:

x + y = 7

Step-by-step explanation:

It will be x=7and that the answe

In 1895, a brick arch railway bridge was built on North Avenue in Baltimore, Maryland. The arch is described by the equation h = 9 −1/50x², where h is the height in yards and x is the distance in yards from the center of the bridge.

a. Graph this equation on your calculator and describe, to the nearest yard, where the
bridge touches the ground.

Answers

Answer:

21.213

or

(21.213,0)

Step-by-step explanation:

y-intercept = 9

slope= -1/50x^2

I graphed it and it was a parabola and it hit the ground at this coordinate (21.213,0)

the local grocery store is running a special three dozen of eggs $1.08 what is the cost per egg

Answers

Answer:

more than 25 cents

Step-by-step explanation:

What is the slope of the line that contains these points

Answers

What is the slope of the line that contains these points

Answer:

What are the coordinates.

i'll mark you as brainliest​

Answers

Answer:

y = x - 2

Step-by-step explanation:

.

4.What number falls between -28 and -34 on the number line?
A.-29
B. 0
C.-25
D. -35

Answers

The answer is a -29 I know this a lot

Write the ratio of the first measurement to the second measurement. Compare in inches.
4 feet to 35 inches

Answers

Answer:

Step-by-step explanation:

12 inches = 1 foot

12*4= 48 inches

48:35

PEASE HELP REALLY QUICK

Answers

Answer:

x = 1

Step-by-step explanation:

13x - 12 = 7x -6

6x = 6

  x = 1

PQ:QR is 5:2 and PR=42 find PQ and QR​

Answers

Answer:

there is a math caulator

Step-by-step explanation:

PLEASE HELP ME IT WOULD BE AMAZING IF YOU CANNN

Answers

1. C
2. A
3. C

Lol I’m only sure about the first one tho

Write the equation in slope-intercept form of the line that
contains the points:
(3,4) & (5,8)

Answers

You can put the 2points into a graph in your calculator and do the slope y1~mx1+b it will give you your equation which is y= 2x - 2

10. A certain strain of bacteria occurs in all raw milk. Tests of uncontaminated raw milk conducted by the Health Department found that the bacteria count per milliliter is normally distributed with a mean of 3500 and standard deviation of 300. a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk? b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400? c) For this normal distribution, what is the percentage of the area under the normal curve for a bacteria count per milliliter less than zero? As bacteria count cannot be less than 0, is this small enough to disregard when claiming that the bacteria count per milliliter is normally distributed? Explain your answer.

Answers

Answer:

a) 0.21078

b) 21.078%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean of 3500 and standard deviation of 300.

a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk?

For x = 3200

z = 3200 - 3500/300

z = -1

Probability value from Z-Table:

P(x = 3200) = 0.15866

For x = 3400

z = 3400 - 3500/300

z = -0.33333

Probability value from Z-Table:

P(x = 3400) = 0.36944

The probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk

P(x = 3400) - P(x = 3200)

= 0.36944 - 0.15866

= 0.21078

b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400?

We convert the answer in part a) to percentage

= 0.21078 × 100

= 21.078%

What steps are used to solve this equation?


6f = 48


Complete each statement.


First, _____

on both sides of the equation.

Next, simplify the equation to determine that the solution of the equation is

.

Check the solution by substituting

for f and simplifying.

Answers

Answer:

What steps are used to solve this equation?

6f = 48

Complete each statement.

First,

✔ divide by 6

on both sides of the equation.

Next, simplify the equation to determine that the solution of the equation is

✔ f = 8

.

Check the solution by substituting

✔ 8

for f and simplifying.

Step-by-step explanation:

The solution of the given equation would be 8.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between.

A system of equations is two or more equations that can be solved to get a unique solution and the power of the equation must be in one degree.

We are given the equation as;

6f = 48

We have to Complete each statement.

First, divide by 6 into both sides of the equation.

f = 48/6

Next, simplify the equation to determine that the solution of the equation is

f = 8

Check the solution by substituting for f and simplifying.

6  x8 = 48

Learn more about equations here;

https://brainly.com/question/25180086

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HURRRYYYY!!
Amir has a bag of dimes and quarters. He has a total of 31 coins worth $5.20.
Let x represent the number of dimes and y represent the number of quarters.
Which system of equations would be used to find out how many dimes and quarters Amir has?

Answers

Answer:

B is the correct answer.

Step-by-step explanation:

This is the given information for which system of equations would be used to find out how many dimes and quarters Amir has?

x = dimes          x = 0.10 or 0.1

y = quarters      y = 0.25

31 coins

worth $5.20       = 5.2

x + y = 31

0.1x + 0.25y = 5.2

What formula do you use to measure the entire length of a diagonal?

Answers

Answer:

d² = l² + w² ,

Step-by-step explanation:

You can use the Pythagorean theorem to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w² , and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √(l² + w²) .

Mrs. Hudson plans to give a 10 question multiple choice exam in which each question has 4 options. Each question counts for 1 point. A score of 8 or more is a passing score while 7 or less is a failing score. The probabilities of guessing a certain number of questions correctly are listed in the table below.
Number of Questions Correct
Probability for Guessing Correctly
0
0.05631351
1
0.18771172
2
0.28156757
3
0.25028229
4
0.14599800
5
0.05839920
6
0.01622200
7
0.00308990
8
0.00038624
9
0.00002861
10
0.00000095
Compute the probability of answering 8 or more questions correctly by calculating the probability with a direct sum and by using complements.
How do the two approaches compare?

Answers

Answer:

0.0004158

0.00041581

Step-by-step explanation:

Given that :

Number of Questions Correct

Probability for Guessing Correctly

0

0.05631351

1

0.18771172

2

0.28156757

3

0.25028229

4

0.14599800

5

0.05839920

6

0.01622200

7

0.00308990

8

0.00038624

9

0.00002861

10

0.00000095

Probability of answering 8 or more questions correctly ;

Direct sum:

P(x ≥ 8) = p(8) + p(9) + p(10)

P(≥ 8) = 0.00038624 + 0.00002861 + 0.00000095

= 0.0004158

Complement :

P(x ≥ 8) = 1 - p(x ≤ 7)

1 - [p(7) + p(6) + p(5) + p(4) + p(3) + p(2) + p(1) + p(0)]

1 - [0.00308990 + 0.01622200 + 0.05839920 + 0.14599800 + 0.25028229 + 0.28156757 + 0.18771172 + 0.05631351]

1 - 0.99958419

= 0.00041581

please help me with my homework my friends won’t

Answers

Answer:

Part A

1. Celsius

2. 100 C

3. 273.15 Kelvin.

4. 273, formula: °C + 273.15 = K.

5.  -273 celsius

6. Farenheit

Part B:

7. True

8. False, you add not subtract.

9. False, it's 373.1 K

10. True

Select two ratios that are equivalent to 7: 10.
Choose 2 answers:
21:30
17:20
10:13
26 : 40
35:50

Answers

Answer:

21:30 and 35:50

Step-by-step explanation:

To get 21:30, multiply 7:10 by 3.

[tex]7*3=21[/tex] and [tex]10*3=30[/tex].

To get 35:50, multiply 7:10 by 5. Same process as above!

Answer:

21:30 and 35:50

Step-by-step explanation:

your welcome

**Zander is making individual desserts for a dinner party. He has
3/4 of a cup of whipped cream, and he wants to
put 1/8 of a cup of whipped cream on each dessert. How many desserts can he make?

Answers

Answer:

7/8 desserts he can make.

Step-by-step explanation:

The correct answer is 6 desserts.
Multiply the reciprocal of 1/8 which is 8/1 times 3/4 to get 24/4, which simplified is 6.


A circular park of radius 30m has a track of width 2.5m on its
inner side. Find the area of the track.​

Answers

2827.43 is the correct area of the park:)

Answer:

490.625 m^2 is the area of the track.

17. Hazel invests $1800 for 7 years at a rate of 1.5% per year compound interest. Calculate how much
interest she will receive after the 7 years. Give your answer correct to the nearest dollar.

Answers

Answer:

1,998$

Step-by-step explanation:

Plug in your numbers in calc to this formula.

Please I need help Asap I give 30 points if I get it rights the question is in the picture​

Answers

Answer:

10

Step-by-step explanation:

First, you multiply j and k together. j·k=6·4= 24.

Next, you multiply 24 by 2.5. That is equal to 60.

After that, since j=6, you divide 60 by 6.

That is equal to 10.

Hope this helps!

Katie has a coin collection she keeps 7 of the coing in the box which is only 14% of her entire collection. What is the total number of coins in katie's collection

Answers

Answer:

x= 50

Step-by-step explanation:

7/x = 14/100

14x = 700

x = 50

the reason behind my calculations were to get the same ratios and because they gave us percentage and the actual number, we can set them; 14 percent 14/100, however, the 7/x is because we don't know the 100 percent of the coins which is what we look for. Therefore, you cross multiply and get x.

I hope this helped

14/100x = 7
0.14x = 7
X = 50 coins

Angle a and b are complementary. M angle a equal (5x +2) degrees. Find m angle b. Justify your reasoning. Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

 ∠b = 88 - 5x

Step-by-step explanation:

If a and b are complementary, then sum of two angles is 90

∠a + ∠b = 90

5x + 2 + ∠b = 90

             ∠b = 90 - 5x - 2

             ∠b = 88 - 5x

what is the value of x that satisfies the following equation
1 over 3 ( x - 9) = 2 over 3 (2x + 6)​

Answers

Answer:

x=-7

Step-by-step explanation:

BRAINLIEST PLS

Hi if someone can answer the top one I’ll mark u brainliest thanks

Answers

Answer:

the answer is a

Step-by-step explanation:

i got corrected :)

Answer:

A.) 8 1/4 !!

Step-by-step explanation:

2.75 x 3  = 8.25

8 1/4

what does 5c+cd5c+cd5, c, plus, c, d when c=\dfrac15c=
5
1

c, equals, start fraction, 1, divided by, 5, end fraction and d=15d=15d, equals, 15 mean

Answers

Answer: 67

Step-by-step explanation:

A chef is making pickles. He needs 15 gallons of vinegar. The store sells 2 gallons of vinegar for $3.00 and allows customers to buy any amount of vinegar. Decide whether each of the following ratios correctly represents the price of vinegar.
Choose yes or no
4 gallons to $3.00

[ Choose yes or no
1 gallon to $1.50

[ Choose yes or no
30 gallons to $45.00

[ Choose yes or no
$2.00 to 30 gallons

[ Choose yes or no
$1.00 to 2/3 gallon

THE QUESTION WILL MAKE YOU BRAINLIEST!

Answers

Answer:

the first one- no the second- yes the third- yes the fourth- no the fifth- yes

Step-by-step explanation:

i passed grade 7 lol

The price of gallons as per number of gallons.

1 gallon to $1.50

30 gallons to $45.00

$1.00 to 2/3 gallon

Finding cost of gallons

Accoring to the question, the price of two gallons of vinegar is $3.00. A chef need fifteen gallons of vinegar to make pickles.

As we know the price of two gallons of vinegar, we can find out price for any amount of vinegar by applying cross multiplication method.

Let's find out price of different amounts of gallons

The cost of two gallons of vinegar = $3.00

So, the cost of one gallon of vinegar = $3.00/2 = $1.50.

we find out that cost of one gallon of vinegar is $1.50.

Let's find the cost of other amount of gallons.

The cost of four gallons = ?

we know the cost of one gallon is $1.50, so the cost of four gallons is $1.50 × 4 = $6.00

This is how we can find out cost of other amount of gallons by multiplying number of gallons by the price of one gallon.

To know more about ratios click the link below.

https://brainly.com/question/2914376

#SPJ2

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