If a is a rational number and b is an irrational number, then the sum a + b is

Answers

Answer 1

Answer:

Sum a + b is irrational

Step-by-step explanation:

Any irrational number plus a rational number is always irrational.


Related Questions

The volume of a cone is 164 pi cubic feet. Its height is 12 feet. Ashlyn is finding the area of the base of the cone. Her work is shown below.

V = one-third B h. Step 1: 164 pi = one-third pi B (12). Step 2: 164 pi = 4 pi B. Step 3: StartFraction 164 pi Over 4 pi EndFraction = B. Step 4: 41 = B.

What is Ashlyn’s error?
In step 3, Ashlyn did not subtract 4 pi from 164 pi.
In step 2, Ashlyn did not find the correct value for multiplying One-third and 12.
In step 1, Ashlyn included a factor of Pi on the right side of the formula.
In step 1, Ashlyn did not substitute the correct value for the height in the formula.

Answers

Answer:

think is c

Step-by-step explanation:

Hence In step 1, Ashlyn included a factor of Pi on the right side of the formula

What is volume?

Volume is capacity of object any object can hold.

How to solve?

V = one-third B h.

Step 1: 164 pi = one-third pi B (12).
Step 2: 164 pi = 4 pi B.

Step 3: 164 pi /4= B.

Step 4: 41 = B.

But in these steps pi is included in RHS but it should be in LHS side

Hence In step 1, Ashlyn included a factor of Pi on the right side of the formula

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What is the value of StartFraction 1 Over 6 Superscript 0 EndFraction? One-sixth 0 1 undefined

Answers

Answer:

1

Step-by-step explanation:

just took the test :)

Answer:

1

Step-by-step explanation:

A box contains 5 blue beads, 4 yellow beads and 3 purple beads.
Three beads are taken from the bag, at random, without replacement.
a) What is probability of picking, in order, a blue bead followed
by a yellow bead followed by a purple bead?
b) Work out the probability that all three beads will be the same colour.
c) What is the probability that the three beads will not be the same colou

Answers

Answer:

A: 1/22

B: 3/44

C: 41/44

D: 3/11

Step-by-step explanation:

Hope this help : )

Final answer:

The probability of drawing beads in a specific sequence is calculated by multiplying the individual probabilities. For all the beads to be the same colour, calculate for each colour then add the probabilities. The probability of not drawing the same colour is 1 minus the probability of all beads being the same colour.

Explanation:

The question concerns the concept of probability in mathematics.

a) The probability of picking a blue bead, then a yellow bead, then a purple bead is calculated by multiplying the individual probabilities together. There are 5 blue beads out of 12 total (5/12), then 4 yellow beads out of 11 remaining (4/11), then finally 3 purple beads out of 10 remaining (3/10). This results in a probability of (5/12) * (4/11) * (3/10) = 60/1320 or 0.0455.

b) For all three beads to be the same colour there are three possibilities: all blue, all yellow, or all purple. Calculate each of these probabilities, then add them together. For all blue it's (5/12)*(4/11)*(3/10), for all yellow it's (4/12)*(3/11)*(2/10), for all purple it's (3/12)*(2/11)*(1/10). This results in a total probability of 0.01515.

c) The probability that all three beads are not the same colour is simply 1 - the probability that they are the same colour = 1 - 0.01515 = 0.98485.

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Combine like terms to create an equivalent expression.

1.3b+7.8-3.2b1.3b+7.8−3.2b

Answers

Answer:

-1.9b + 7.8

Step-by-step explanation:

The equivalent expression for the given expression is -1.9b+7.8.

The given expression is 1.3b+7.8-3.2b.

We need to combine like terms to create an equivalent expression.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Now, combine like terms:

The like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic terms, only the numerical coefficients can vary.

Then, 1.3b+7.8-3.2b=(1.3b-3.2b)+7.8

=-1.9b+7.8

Therefore, the equivalent expression for the given expression is -1.9b+7.8.

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Draw the rectangle with vertices (2,1), (5,1), (5,3), (2,3)

Answers

Answer:

I drew the rectangle below

Step-by-step explanation:

I used the graph below for the rectangle

If this answer is correct, please make me Brainliest!

What is the value of \dfrac{x^2}{y^1}

y

1


x

2




start fraction, x, squared, divided by, y, start superscript, 1, end superscript, end fraction when x=10x=10x, equals, 10 and y=5y=5y, equals, 5?

Answers

Answer:

20???

Step-by-step explanation:

Final answer:

The value of the expression x^2/y when x equals 10 and y equals 5, is computed by squaring x, which equals 100 in this instance and then dividing the result by y. Therefore, the result is 100 divided by 5, which equals 20.

Explanation:

The subject of this question is determining the value of the expression x^2/y, a topic in Mathematics, specifically in Algebra. In this case, we are given that x = 10 and y = 5. The expression presented in the question is x^2/y. This mathematical expression states that x should be squared (i.e., x times x, which equals 10 times 10 in this instance) and the result should then be divided by y. Therefore, the solution can be found as follows:

First, square the value of x: 10*10 = 100.Then, divide this result by the value of y: 100/5 = 20.

So, the value of x^2/y when x = 10 and y = 5 is 20.

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Lola says these two expressions have the same value.

Expression A
Expression B
Left-bracket (StartFraction a Over b EndFraction) Superscript negative 4 Baseline Right-bracket Superscript 0
Left-bracket (StartFraction a Over b EndFraction) Superscript 0 Baseline Right-bracket Superscript negative 4

Which explains whether Lola is correct?
Lola is correct because each expression has a value of 0.
Lola is correct because each expression has a value of 1.
Lola is not correct because the value of expression A is 1 and the value of expression B is (StartFraction b Over a EndFraction) Superscript 4.
Lola is not correct because the value of expression A is (StartFraction b Over a EndFraction) Superscript 4 and the value of expression B is 1.

Answers

Lola is correct because each expression has a value of 1.

What are expressions that have the same value?

Expressions are stated to be equivalent if they have an identical fee regardless of the value of the variable(s) in them.

What are equivalent expressions?

Equal expressions are expressions that work the same even though they look specific. If algebraic expressions are equal, then the 2 expressions have the equal-cost when we plug in the identical fee(s) for the variable(s).

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Which of these BEST explains the construction of a network of railroads linking Europe together during the nineteenth
century?
A)
Rail service allowed armies to move quickly across Europe.
Rail service allowed people to visit their families across Europe.
Rail service provided many people across Europe with job
opportunities.
Rail service provided more efficient means to transport goods across
Europe.
D)

Answers

pretty sure its D

pretty sure its d

Final answer:

The primary reason for the construction of a network of railroads in Europe during the 19th century was to provide a more efficient means to transport goods, promoting trade and boosting economical growth, although it also facilitated the movement of armies and people.

Explanation:

The best explanation for the construction of a network of railroads linking Europe together during the nineteenth century is that the Rail service provided more efficient means to transport goods across Europe. This period, known as the Railway Age, saw exponential growth in the expansion of railroads because they created an efficient and faster way for countries to trade goods, thus boosting their economies.

Not only did the burgeoning rail network provide a means for rapid movement of goods, but it also facilitated the movement of people, creating job opportunities and promoting cultural exchange.

While it is true that rail service allowed armies to move quickly and people to visit families across the continent, the primary impetus for the expansion of the rail network was economic – facilitating trade and industry.

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West middle school has classes of many different sizes during first period. The number of students in each class is shown.
9,23,18,14,20,26,14,18,18,12,8,13,21,22,28,10,7,19,24,20

a.Hank made a histogram using intervals of 6-10,11-15 and so on. how many bars did his histogram have? What was the height of the highest bar?

b.lisa made a histogram using intervals of 0-9,10-19, and so on. How many bars did her histogram have ? What was the height of the highest bar?

c besides a histogram, what are some other ways you could display these data?

Plz help me right away

Answers

Final answer:

Hank's histogram using intervals of 6-10, 11-15, etc., resulted in 5 bars with the tallest bar at the 16-20 interval having a height of 5. Lisa's histogram with intervals of 0-9, 10-19, etc., also had 5 bars, with the tallest bar at the 10-19 interval having a height of 7. Other ways of displaying the data include bar graphs, frequency tables, pie charts, and box-and-whisker plots.

Explanation:

To answer the student's question regarding histograms and class sizes at West middle school:

For Hank's histogram with intervals of 6-10,11-15, and so on, the number of bars (classes) would be determined by the range of the values and the interval width. In this case, the values range from 7 to 28, so the intervals will be 6-10, 11-15, 16-20, 21-25, 26-30, giving us a total of 5 bars. The height of the highest bar would correspond to the interval with the most number of classes falling within it. After tallying, the interval 16-20 has the most, with 5 classes falling within it.For Lisa's histogram using intervals of 0-9, 10-19, and so on, similar reasoning shows we also have 5 bars since the intervals will be 0-9, 10-19, 20-29, 30-39 and 40-49 (even though we have no values reaching that high). The interval with the highest frequency is 10-19, containing 7 classes, so the height of the highest bar is 7.Besides a histogram, other ways to display these data include a bar graph, a frequency table, a pie chart (for relative frequencies), or a box-and-whisker plot to show the distribution of data.

write the inverse function of F: f= { (3,0), (2,7), (-1,-2), (5,2) } and f^-1=

Answers

Answer:

f^-1 = {(0, -3), (7, 2), (-2, -1), (2, 5)}

Ginny has a package of 80 cards. There are 40 yellow cards
and 40 red cards.
If she randomly picks 4 cards, how many cards should she
expect to be yellow?

Answers

Answer:

She should pick at least 2 cards because it is a 50 50 chance.

Step-by-step explanation:

It is very obvious unless it is rigged

What do you spend your money on? Do you think you’re making good investments?

Answers

Answer:yes

Step-by-step explanation:I spen my money on video games

When calculating total gross pay, you should ___
A) use only your hourly wage
B)use your hourly wage and tips
C) use only your tips
D) use your hourly wage and tips minus any deductions

Answers

B( use your hourly wage and tips)

When determining the total gross pay, you should use your hourly wage and tips

What is total gross pay?

The total gross pay is the totality of an individual's total earnings throughout a given period prior to the removal of any deductions such as tax and contribution.

The total gross pay can be calculated annually or daily.

Total gross pay = annual salary earned/ number of pay periodsTotal gross pay = (hours worked in a day × hourly rate) + overtime hour(including tips made)

Therefore, we can conclude that when determining the total gross pay, you should use your hourly wage and tips

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Carly works at a local bakery. She needs 8 cups of flour to make a cake and 4 cups of flour to make 16 cupcakes. It she started the
day with 18 pounds of flour, and one pound of flour equals four cups of flour, how much flour will Carly have left after she makes 4
cakes and 32 cupcakes?
OA. 65 cups
OB. 64 cups
OC. 32 cups
OD. 24 cups

Answers

Answer:

All things said, Carly needs 32 cups for compose her bakery items.

Step-by-step explanation:

First, let' see how much flower in all would need to be used for the following delicacies, knowing she started with 72 cups of flower.

4 x 8 = 32 cups for the cake

4:16 = for only 16 cupcakes, so double it 8:32... 8 cups of flour.

Thus, 8+32= 40 & 72-40= 32

All things said, Carly needs 32 cups for compose her bakery items.

I hope this helped!!

~ Penny

OA. 65 cups is the answer

one cup hold 8 ounces of liquid if a cup is 2/3 full how many ounces are in the cup?

Answers

Answer:

5.33 ounces repeating

Step-by-step explanation:

If a cup is 2/3 full 5.33 ounces are in the cup.

What is a fraction?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Given

1 cup holds 8 ounces

2/3 holds [tex]2/3 * 8[/tex] ounces = 5.33 ounces

Therefore, If a cup is 2/3 full 5.33 ounces are in the cup

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Find the solutions for 4x2 + 3x – 7 = 0 using a table. If approximating,
give the answer to the nearest tenth.

Answers

Answer:

x = 1 or x = -7/4

Step-by-step explanation:

4x2 + 3x – 7 = 0

x = 1 or x = -7/4

Please help fast!!!!!

Answers

Answer:

60 i think

Step-by-step explanation:

The answer would be 60()

Which of these geometric figures can intersect to form a cross section? Check all that apply.
a line and a prism
a line and a rectangle
a point and a prism
a prism and a horizontal plane
a vertical plane and a pyramid

Answers

Answer:

The answer on edu is a prism and A horizontal plane,A vertical plane and a pyramid.Step-by-step explanation:the Letter answer D,E

We will only have cross-sections for the following pairs:

D: a prism and a horizontal planeE: a vertical plane and a pyramid

What is a cross-section?

We can define a cross-section as a "cut" of a figure. For example, if you take a sphere and cut it, you will see that the shape of the cutted part is a circle.

So the cross-section for a sphere is a circle.

Now, notice that the figures are 3d and the cross-sections are 2d, so, to make a cross-section, we need a figure and a plane.

With that in mind, the two cases that can form cross-sections are:

D: a prism and a horizontal planeE: a vertical plane and a pyramid

Where we have the intersection between figures and planes.

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A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
33One-third%
50%
66Two-thirds%
200%

Answers

Answer:

66%

Step-by-step explanation:

- First, add 20 + 10 = 30. This will give you the total amount of games.

- Now, make this into a fraction for won games. This should be 20/30.

- Next, take 20/30 and simplify it. You should get 2/3 as a fraction.

- Now, take 2 and divide by 3. (2/3) You should get .66 repeating. This is equal to 66%.

- Therefore 66% is the answer.

- Hope this helps! If you need a further explanation please let me know.

The answer is 66 percent

Which statements about the hyperbola are true? Select two options.

Answers

Answer:

The answer is B and E.

Step-by-step explanation:

Answer:

B and E are correct on edge

Step-by-step explanation:

an angle cuts off 1/8 of the circle. What is the measure of this angle?

Answers

45 degreesAnswer:

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

When you take 1/8 out of a circle. It would be 1/8 of 360 degrees. 1/8 of 360 is 45.

Factor this expression completely. −3x − 12 A) 3(x + 4) B) 3(x − 4) C) −3(x + 4) D) −3(x − 4)

Answers

Answer:

C

Step-by-step explanation:

Look at the coefficients in the expression: -3 and 12.  The largest number that divides them both is 3.  That means you can factor out either a 3 or a negative 3.  Try 3.

3(-x - 4) is not on the list of answers.  Also, it's unusual to factor out a value that leaves a negative coefficient on x.

Try factoring out -3.

-3(x + 4) is answer choice C.

Bonus

Because this is a multiple-choice question without a "non of these" option, you can solve the problem by expanding--multiplying out--the answers!

A. 3(x + 4) = 3x + 12 ...nope, not it

B. 3(x - 4) = 3x -12 ...nope, not it

C. -3(x + 4) = -3x -12 ...bingo!

Find the missing side length, and enter your answer in the box below. If necessary, round your answer to 2 decimal places.

Answers

Answer:

15

Step-by-step explanation:

9^2+12^2=c^2 use pythagorean thereom

225=c^2 use radical to solve

c=15

Answer:

c = 15

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

c² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )

c = [tex]\sqrt{225}[/tex] = 15

e
Try It!
» A florist makes bouquets that include 50 white flowers
and 7 red flowers. If the florist orders 1,050 white
flowers and 140 red flowers, there will be leftover
flowers. How can the florist adjust the order so there
are no leftover flowers?

Answers

Answer:

The florist needs to order me 7 more red flowers then there will be enough for 21 bouquets, with no flowers left over.

Step-by-step explanation:

If she had given back 50 of the others then the florist would classify that as left over stock, so she would need to order and ask for 7 more.

1050 / 50 = 21

140/7 = 20

Get on the phone and get me 7 red roses.

What is the measure of angle r in triangle PQR round to the nearest degree

Answers

Answer: 26° I’m not sure why but I mean lol

Answer:

26

Step-by-step explanation:


What is the maximum value of the function shown on the graph?

A) −1
B) −2
C) 0
D) 1

Answers

A -1 is the max value
The maximum value of the function is A) -1

a person selects 3 cards from an ordinary deck and replaces each card after it is drawn. Find out the probability that the person will get at least one heart

Answers

Answer:

P(at least one Heart)= 37/64

Step-by-step explanation:

Number of cards in the Deck=52

Number of Hearts=13

Number of Non-Hearts Card=52-13=39

Since we require the probability that the person will get at least one heart, we can first find the probability that the person will not pick a heart out of the three cards and find its complement.

P(Picking three Non Heart Cards)=39/52 X 39/52 X 39/52 =27/64

Therefore:

P(at least one Heart)=1-27/64=37/64

Final answer:

To find the probability of getting at least one heart when selecting 3 cards with replacement from an ordinary deck, subtract the probability of not getting any hearts from 1.

Explanation:

To calculate the probability that the person will get at least one heart, we need to find the probability of getting no hearts and subtract it from 1. There are 52 cards in a deck and 13 of them are hearts. So, the probability of not getting a heart on the first draw is 39/52, on the second draw is also 39/52, and on the third draw is again 39/52. Multiply these probabilities together to get the probability of not getting a heart in any of the three draws. Finally, subtract this probability from 1 to find the probability of at least one heart.

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i don’t understandddd please helppp

Answers

Answer:

[tex]214in^{2}[/tex]

Step-by-step explanation:

First we find the area of the regular hexagon.

Area = 4√3*24

Area ≈ [tex]166in^{2}[/tex]

Now we find the area of the other shaded region, which is a parallelogram.

Area = bh

The base of the parallelogram is congruent to one of the sides of the regular hexagon, which means the base is 8 inches.

To find the height, we have to look at the right triangle next to the parallelogram. As we can see, the long leg of the right angle is perpendicular to the base of the parallelogram, and since the height of a parallelogram is perpendicular to its base, we find out that the height of the parallelogram is 6 inches.

Now we find the area.

Area = 6*8

Area = [tex]48in^{2}[/tex]

Now we add the both areas.

[tex]166 in^{2}+48 in^{2}=214 in^{2}[/tex]

The area of the composite figure is ≈ [tex]214 in^{2}[/tex]

For the following right triangle, find the side length x

Answers

X=10

Use Pythagorean theorem

A squared + b squared = x squared

X is the hypotenuse so use x squared = 8 squared + 6 squared

So x squared = 64+36

square root x = 100

Then square root 100 to get

X = 10

<3

The length of the hypotenuse in the right triangle with side lengths of 6 and 8 units is 10 units.

Let's consider a right triangle with side lengths of 6 units and 8 units. We'll label these sides as 'a' and 'b', respectively, and we need to find the length of the hypotenuse, which we'll denote as 'c'.

According to the Pythagorean Theorem, the relationship between the sides of a right triangle can be expressed as:

c² = a² + b²

Now, we can substitute the given side lengths into the formula:

c² = 6² + 8²

c² = 36 + 64

c² = 100

To find the value of 'c', we take the square root of both sides of the equation:

c = √100

c = 10

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dianne runs around a circular track that has a radius of 55 feet. after running three quarters of the distance around the track, how far has she run?

Answers

Answer:

She has run 259.18m

Step-by-step explanation:

Since Dianne is running around the circular track, she is running around the perimeter of the circle.

Now, we know that the perimeter of a circle is given by;P = 2πr

Thus the perimeter of the track = total distance that the man travels = 2 x π x 55 = 345.575 meters

Now,since she has run 3/4 of the distance, thus, she has run;

(3/4) x 345.575 = 259.18m

Answer:

She has run 259.18m

Step-by-step explanation:

Since Dianne is running around the circular track, she is running around the perimeter of the circle.

Now, we know that the perimeter of a circle is given by; P = 2πr

Thus the perimeter of the track = total distance that the man travels = 2 x π x 55 = 345.575 meters

Now, since she has run 3/4 of the distance, thus, she has run;

(3/4) x 345.575 = 259.18m

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