Is the product of a rational number and an irrational number always irrational?

Answers

Answer 1

Answer:

The product of any rational number and any irrational number will always be an irrational number.

Step-by-step explanation:


Related Questions

5 times some number added to 8 amounts to 10 added to the product of 3 and the number

How do you solve this

Answers

9514 1404 393

Answer:

  the number is 1

Step-by-step explanation:

First of all, you need to know what you're solving. Here, we assume you're trying to find "the number."

__

Let n represent "some number." The given relation can be written using math symbols as ...

  5n +8 = 10 +3n

Subtract 3n +8 from both sides to separate the variable and the constant terms.

  2n = 2

  n = 1 . . . . . . . divide by 2

The number is 1.

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Check

  5 times 1, added to 8 is 13. This amounts to the same thing as 10 added to the product of 3 and 1.

Let f(x) = x - 3 and g(x) = x + 11 find f(x) times g(x)

What is the answer?

Answers

f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33

Sorry if its wrong :(

40 Points Please help me

Answers

the slope is 1/2 for those two points. it can be found using the slope formula.

Help I'll mark you as brainiest

Answers

Answer:

It is a function and 0to^2 shows your function dt.c and 4c-3 shows your function is wrong and the answer is 0 and 31/4 to the power of 25 and shows that the function is 8.

Step-by-step explanation:

what is the slope of a line containing 1,-2 and -1,5

Answers

Use the formula y2-y1/x2-x1

That gives you

5 - (-2) / -1 - 1 = -7/2

-7/2 should be your slope.

(Or it could be -3.5 in decimal form)

Divide $2604 into a ratio of 2:1.

Answers

Answer : 2604 can be divided into 1736 and 868 in the ratio of 2:1.

Step-by-step explanation:

2x + x = 2604

or, 3x = 2604

or, x = 2604/3 = 868

so

2x = 2*868 = 1736

now

x = 868

Ruben is driving along a highway that passes through Barstow. His distance d, in miles, from Barstow is given by the equation
d = |210 − 60t|,
where t is the time, in hours, since the start of his trip and
0 ≤ t ≤ 5.
When will Ruben be exactly 90 miles from Barstow? (Enter your answers as a comma-separated list.)

Answers

The absolute value of a number returns the positive value of the given number. Ruben will be at exactly 90 miles in 2 hours or 5 hours

Given that:

[tex]d = |210 - 60t|[/tex]

To calculate t when [tex]d = 90[/tex], we have:

[tex]90 = |210 - 60t|[/tex]

Rewrite as:

[tex]|210 - 60t| = 90[/tex]

Remove absolute bracket

[tex]210 - 60t = 90 \ or\ 210 - 60t = -90[/tex]

Collect like terms

[tex]- 60t = -210 + 90 \ or\ - 60t = -210 -90[/tex]

[tex]- 60t = -120 \ or\ - 60t = -300[/tex]

Divide through by -60

[tex]t = 2 \ or\ t = 5[/tex]

Hence, Ruben will be at exactly 90 miles in 2 hours or 5 hours

Read more about absolute values at:

https://brainly.com/question/1301718

During a science lab, four-fifths of the class completed the lab and earned a grade of 100. What percent of the class didnt earn a grade of 100?
F. 60%
G. 80%
H. 20%
J.45%

Answers

Answer: H. 20%

Step-by-step explanation: if 4/5 got 100 then 80% got 100 so the other 20% did not get a 100

3. What type of angle will the clock show when it is 6:55 pm?

Answers

Obtuse angle.

Hope you could understand that. Plzz let me know if you have any doubts.

Have a nice day :)

jim can solve 4 math problems in 7 minuts. At this rate, about how many math problems can he solve in 25 minuts?

Answers

Answer:

14.

JIm can solve 4/7 math problems in a minute. that is the unit rate. how did i get that? 7/7 = 1 and thats what we need for a unit rate, the number one. that means we have to divide 4 by 7 too. therefore, 4/7.

we aren't done. we multiply 4/7 * 25 to find out how many math problems jim can solve in 25 minutes.

about.. 14.29 and we need a whole number since you cant solve a decimal of a math problem so he can solve 14 math problems in 25 minutes.

Step-by-step explanation:

Answer:

43.57

Step-by-step explanation:

divide 4/4 and 7/4 to get the base amount of minutes per question then multiply 1.75 by 25 minutes

I'm a little stuck on this, could I get some help? C:

How much would you need to deposit in an account each month in order to have $50,000 in the account in 10 years? Assume the account earns 5% annual interest compounded monthly.

Thank you, and I am eternally grateful.

Answers

9514 1404 393

Answer:

  $321.99

Step-by-step explanation:

Use the annuity formula and solve for P.

  A = P(12/r)((1 +r/12)^(12t) -1) . . . . value of a series of deposits P earning rate r compounded monthly for t years.

  50,000 = P(12/0.05)((1 +0.05/12)^(12·10) -1) = P(240)(0.64700950)

  P = 50,000/155.282279 = 321.99

You would need to deposit $321.99 in the account each month to have $50,000 in 10 years.

Please answer the question above!

Answers

Answer:

B) [tex]A=4x+8[/tex]

Step-by-step explanation:

Hi there!

Area of a trapezoid: [tex]A=\displaystyle\frac{1}{2}h(b_1+b_2)[/tex]

⇒ b₁ = x-3

⇒ b₂ = x+7

⇒ h = 4

Plug the given information into the equation:

[tex]A=\displaystyle\frac{1}{2}(4)[(x-3)+(x+7)]\\\\A=\displaystyle\frac{1}{2}(4)(x-3+x+7)\\\\A=2(2x+4)\\\\A=4x+8[/tex]

Therefore, the area of the trapezoid is [tex]4x+8[/tex].

I hope this helps!

Please Help Me Do This I cant understand it no matter how hard I try. (Problem in the image)

Answers

9514 1404 393

Answer:

  7.28

Step-by-step explanation:

Consider the attachment. There, we have identified a point C that makes ABC a right triangle with the right angle at C.

The Pythagorean theorem gives you the relationship between side lengths of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.

  AB² = AC² +BC²

We can count grid squares to find the lengths of AC and BC. They are 2 units and 7 units, respectively. This means ...

  AB² = 2² +7²

  AB² = 2·2 +7·7 = 4 +49 = 53

When we know the square, we can find what it is the square of by taking the square root. Generally, a calculator is required for this.

  AB = √53 ≈ 7.2801099

When we round this number to two decimal places (the nearest hundredth), we get ...

  AB ≈ 7.28 . . . units

_____

Additional comments

You will notice that the length AC in the diagram is the difference of the x-coordinates of points A and B. Similarly, the length BC in the diagram is the difference of y-coordinates. Then the square AB² is the sum of the squares of these differences. The length AB is the square root of that sum.

In general, this is how you find the length of a line segment from its end point coordinates.

__

A little magic, perhaps: You may find that repeating the 11-digit number on the first line several times a day for a few days will help to moderate your difficulty understanding this. The numbers convey an energy that is intended to counteract the brain block that often arises when seeing a math problem.

true/false: the vertical axis in a bar chart always shows relative frequencies

Answers

Answer:

true

Step-by-step explanation: true

Which describes the relationship between the distance and the difference?\

Answers

Answer:

The distance is always the opposite of the difference.The distance is the absolute value of the difference.

Hope it helps you.Have a nice day!!

Answer:

The distance is the absolute value of the difference

Step-by-step explanation:

Sum is the when 2 or more numbers are added . Difference is the quantity at which 2 numbers differ i.e difference between 9 and 7 is 2. If you are talking about distance in reference to segment the distance ishow far apart two points are.

If M Need help asap ...................

Answers

The measure of angle DAC must be 60 degrees. Since a right angle is 90 degrees, the sum of the degrees of both of the angles must be that amount. If angle BAD is 30 degrees, the measure of angle DAC must be 60 degrees.

CP is equal to 200 SP is equal to 100 find the profit or loss​

Answers

Answer:

100

Step-by-step explanation:

if SP>CP,

It is profit [SP - CP = Profit]

if CP>SP,

It is loss   [CP - SP = Loss]

Here in the question CP>SP so,

loss = CP - SP

       =200 - 100

       = 100

Someone please help me with 13 and 14 I’m really struggling

Answers

Answer:

Step-by-step explanation:

Derrek wants to find another way to show 6 thousands. Which value is equal to 6 thousands?

Answers

Answer:

6,000

Step-by-step explanation:

60 hundreds.

600 tens.

Given log4(3) =0.7925 and log4(5) =1.1610, use log properties to find log4(300).

Answers

Answer:

4.1145

Step-by-step explanation:

You can use the following formula to solve this kind of problems,

[tex] log_{a}(b) + log_{a}(c) = log_{a}(bc) [/tex]

So, let's start of with log4_(300). Since the question have already gave log4_(3) =0.7925 and log4_(5) =1.1610. It means that you have to split the 300 into the simplest form where almost all of the numbers are 3 and 5.

[tex] log_{4}(300) = log_{4}(4 \times 5 \times 3 \times 5) \\ = log_{4}(4) + log_{4}(5) + log_{4}(3) + log_{4}(5) \\ = 1 + 1.1610 + 0.7925 + 1.1610 \\ = 4.1145[/tex]

The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 7. Find the probability of observing exactly three accidents on this stretch of road next month.
Select one:
A. 18.147387
B. 2.846161
C. 0.332381
D. 0.052129

Answers

Answer:

D

Step-by-step explanation:

hhgxhsbjxkxjebdibfhejx

Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of drawing a face card or an Ace.

Choose the correct probability of drawing a face card or an Ace. Answer choices are in the form of a percentage, rounded to the nearest whole number.


31%


8%


4%


25%

Answers

Answer:

8%

Step-by-step explanation:

Ok, there is 52 cards per deck, 13 per suit ( club, diamond, heart, and spade)

if you multiply 13 by 4 ( 4 is dependent on the number of suit, and 4 will always be the number of suit )

The probability is 8%.

Why, because 25 would be pulling a random card and your saying you want the suit to be diamond the probability of you getting a random diamond card would be 25%. But were not doing that. So cross out 31% and 25%.

Also, 4% would be as your counting 100 cards. So that leaves me with 8%.

The graph of the reciprocal parent function, f(x) = ), is shifted 9 units
down and 11 units to the right to create the graph of g(x). What function is
g(x)?

Answers

Answer:

g(x) = [tex]\frac{1}{x+11}-9[/tex] is my choice

Step-by-step explanation:

I. If move right is +x and move down is -y

               then f(x) = [tex]\frac{1}{x}[/tex]

               +x = 11, -y = -9

                so g(x) = [tex]\frac{1}{x+11}-9[/tex]

Hope that help :D

Find the value of x if

Answers

Answer:

C. 4

Step-by-step explanation:

We have the equation [tex]\sqrt[x]{81} =3[/tex] and are asked to find the value of x.

To find x, we need to find how many times 3 can go into 81 but as an exponent, instead of saying 3 * x it would be [tex]3^x[/tex].

So find the value of each exponent by replacing it with each answer choice :

[tex]3^8 = 6561[/tex]

[tex]3^{27} = 7.6255975e+12[/tex]

[tex]3^4 = 81[/tex]

[tex]3^2 = 9[/tex]

Since to the power of 4 equals the cube root in the original equation, therefore B. is the answer.

the sum of 3 and a number

Answers

Answer:

the number will vary the answer

Step-by-step explanation:

3×1=3

3×2=6

Help please! What is the length of the highlighted side? (Show work)

Answers

Answer:

7

Step-by-step explanation:

15ft - 8ft

Find the equation (in terms of x) of the line through the points (-3,0) and (4,5)​

Answers

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

Twenty is 12% of what number? Round to two decimal places if needed.​

Answers

Answer:

166,67

Step-by-step explanation:

We want to find a number x which 12% is 20:

x * 0.12 = 20

x = 20 / 0.12

x = 166,67

Evaluate the expression 4x + 6 -y^2 when x=-3 and y=4

Answers

4*(-3) + 6 -4^2=
-12+6-16=
-22
Answer (-22)

The expression 4x + 6 -y^2  when evaluated has a value of -22

How to evaluate the expression

From the question, we have the following parameters that can be used in our computation:

4x + 6 -y^2

Also, we have

x=-3 and y=4

Substitute the known values in the above equation, so, we have the following representation

4x + 6 -y^2 = 4 * -3 + 6 - 4^2

Evaluate

4x + 6 -y^2 = -22

Hence, the solution is -22

Read more about expression at

https://brainly.com/question/30492964

#SPJ6

2. What is the distance between points A and B?

A. -6 units
B. -1 unit
C. 5 units
D. 6 units

Answers

Answer:

5 units

Subtract -6 and -1, and you get -5. -5 can't be the answer since we are asked to find the distance, so it is the absolute value of -5, 5.

Answer:

D) 6 units

Explanation:

Point A is 5 units away from 0 (the middle)

Point B is 1 unit away from 0

5 + 1 = 6

Distance between two points cannot be negative

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