Is √35 rational or irrational

Answers

Answer 1

Answer:

Irrational

Step-by-step explanation:

It can not be square rooted, the closest squared number to 35 is 36. The square root of 36 is 6 as 6x6= 3.

Therefore it is irrational.

Answer 2

Answer:

see below

Step-by-step explanation:

sqrt35 is irrational since by the definition of rational: able to be expressed as a whole number or a fraction.

sqrt35 is approximatly 5.91607978. which is not able to be a whole number or a fraction

thus sqrt35 is irrational


Related Questions

Correlational research results depicting a correlation coefficient of 0. 5 means that the associated variables demonstrate a __________ relationship.

Answers

Results of correlational analysis showing a correlation coefficient of 0.5 indicate that the related variables show a moderately positive relationship.

The correct option is B.

Briefing:

The strength of the relationship can be quantified by researchers using this coefficient, which is frequently used to determine the relationship between two or more objects.

The coefficient value will range from -1 to +1, where a value of 0.5 indicates that the variables show a moderately positive relationship.

What exactly does it mean to have a moderate correlation?

Variables that are thought to be highly correlated have correlation coefficients with magnitudes between 0.7 and 0.9. Variables that are moderately correlated are indicated by correlation coefficients with magnitudes between 0.5 and 0.7.

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I understand that the question you are looking for is:

Correlational research results depicting a correlation coefficient of 0.5 means that the associated variables demonstrate a __________ relationship.

a. weak negative

b. moderately positive

c. weak positive

d. strong positive

Consider any subset of the real numbers that consists only
of negative numbers. What can you conclude about whether the set is closed
under multiplication?
Explain.

Answers

Answer:  Not closed under multiplication

====================================================

Explanation:

Pick any two negative numbers that you want.

I'll go for -3 and -5

They multiply to (-3)*(-5) = 15 which is a positive number. The two negatives cancel out to form a positive.

This is an example to show that multiplication is not closed for this subset of the real numbers. We consider it to be closed if the result of any two negative numbers multiplied would get us some other negative number.

In a sense, this is the complete opposite of closed since the result is never negative.

Here's an example of a set that is closed under multiplication: integers

Picking any two integers and multiplying them together gets us some other integer. Each item is found in the same set, i.e. the result never leaves or goes outside the set.

Adeli opened a savings account with an initial deposit of $2000 and will not make any additional deposits or withdrawals the account earns 5% interest compounded annually what is the total amount that adele will have in her account in the end of the 3 years

Answers

The total amount that Adele will have in her account at the end of the 3 years is $2,315.25.

Given that, principal=$2000, rate of interest=5% and time period=3 years.

How to calculate the compound interest?

The compound interest formula is used to calculate compound interest, sometimes known as "interest on interest". The formula for compound interest is [tex]A = P(1 + \frac{r}{100})^{nt}[/tex], where P= principal balance, r= interest rate, n= number of times interest is compounded per time period and t= number of time periods.

Now, A=2000(1+5/100)³

=2000(1+0.05)³

=2000(1.05)³

=$2,315.25

Therefore, the total amount that Adele will have in her account at the end of the 3 years is $2,315.25.

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Cindy and Richard leave their dorm in Charleston
at the same time. Cindy rides her bicycle north at a
speed of 18 miles per hour. Richard rides his bicycle
south at a speed of 14 miles per hour. How long will it
take them to be 96 miles apart?

Answers

Answer:

Hello,

Step-by-step explanation:

Let's suppose
t the time of the travel

d1 the distance rided by Cindy in miles

d2 the distance rided by Richard in miles

d1+d2=96

18*t+14*t=96

32*t=96

t=3 (hours)

Solve the simultaneous equation
-4x+3y=1
6x-y=2

Answers

Step-by-step explanation:

multiply 6x - y = 2 by 3 and subtract the first equation from the second

18x-3y=6 - (-4x+3y=2

3y is cancelled and after the others are subtracted the equation becomes

22x = 4

x = 2/11

Answer:

The value of x = 1/2

The value of y = 1

Step-by-step explanation:

Let's change the equation,

→ 6x - y = 2

→ y = 6x - 2

Then the value of x will be,

→ -4x + 3y = 1

→ -4x + 3(6x - 2) = 1

→ -4x + 18x - 6 = 1

→ 14x = 1 + 6

→ x = 7/14

→ [ x = 1/2 ]

Hence, the value of x is 1/2 (or) 0.5.

Now the value of y will be,

→ y = 6x - 2

→ y = 6(1/2) - 2

→ y = 3 - 2

→ [ y = 1 ]

Hence, the value of y is 1.

I need help fast please and thank you

Answers

Answer:

its the second option

Step-by-step explanation:

u can search for the formula for a right trapezoid and then solve it

A number and another number which is 3 times 1 less than the first number add to 17. what are the numbers?

Answers

The obtained two numbers by substitution method are 5 and 12.

What is substitution method?

The algebraic method for solving simultaneous linear equations is the substitution method.

The value of one variable through one equation is substituted in the second equation, as the name implies.To verify an equation system by substitution, enter your x and y values into the initial equations. Your answer is accurate if both simplification expressions are true.

Let the first number be 'x'.

Let the second number be 'y'

From the given condition that second number is 3 times 1 less than the first number.

That is;

y = 3(x - 1)

Now the sum of both number are given as 17.

x + y = 17.

Use substitution method, and put the value of y in the total sum.

x + y = 17.

x + 3(x - 1) = 17

Simplify the given equation;

x + 3x - 3 = 17

4x = 17 + 3

4x = 20

x = 5 (first number)

Put the value of x in y to find the value.

y = 3(x - 1)

y = 3(5 - 1)

y = 12 (second number)

Therefore, the values of two numbers are 5 and 12.

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Find the equation of the line shown.

Answers

Answer:

y = -2x + 9

Step-by-step explanation:

The standard form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

The line intersects the y-axis at 9, thus b = 9.
The slope formula is rise/run. The line falls 2 and runs 1, thus m = -2/1, or -2.

y = -2x + 9

Find the percent cost of the total spent on each equipment $36, fees $158, transportation $59

Answers

Percent cost of the total spent on

each equipment = 14.23%,fees=62.45% and transportation = 23.32%.

As given in the question,

Money spent on

Each equipment = $36

Fees = $158

Transportation = $59

Total money spent = $( 36 + 158 + 59)

                             = $253

Percent cost of the total spent on

Each equipment = (36/253) × 100

                          = 14.23%

Fees = (36/253) × 100

        = 62.45%

Transportation =(36/253) × 100

                       = 23.32%

Therefore, percent cost of the total spent on

each equipment = 14.23%,fees=62.45% and transportation = 23.32%.

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complete the sentence: On an
annual basis, Sandy's entertainment expenses are percent of Jamie's insurance expenses.
Sandy goes to a club or concert every two weeks and spends an average of $65 each time. Jamie spends
$740 a year on car insurance. what percentange of sandy entertainment expense are to jamie’s ?

Answers

Sandy's entertainment expenses are  228.38 percent of Jamie's insurance expenses.

What is the percent?

Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentages are a measure of frequency.

The total amount spent by Sandy on an annual basis = (number of weeks in a year / 2) x amount spent on each visit

(52 /2) x $65

26 x $65 = $1690

Percent of the entertainment as a percentage of the insurance : (1690 / 740) x 100 = 228.38%

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If the odds against debroah's winning first prize are 3 to 5, what is the probability that she will win 1st prize?

Answers

Answer:

See below

Step-by-step explanation:

Odds AGAINST are 3 to5        then odds FOR are  2 to 5

    2/5   = .4 = 40%   chance of winning

Give me the integer value for Y on x+y=8

Answers

Answer:

5

Step-by-step explanation:

To find a value for y given a value for x, substitute the x-value into the expression

Answer:

Step-by-step explanation:

x + y = 8

Let x = 2

then:

2 + y = 8

y = 8 - 2

y = 6.

This is one integer value for y.

Simplify (2m6)3.

Please I need the answer fast!

Answers

Answer:

6m sqared to 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2m6)3

- if you mean (2m^6)^3

it is 8m^18.

To pay for a home improvement project that totals $9,000, Genesis is choosing between taking out a simple interest bank loan at 9% for 3 years or paying with a credit card that compounds monthly at an annual rate of 18% for 7 years. Which plan would give Genesis the lowest monthly payment? The monthly credit card payment would be $295, which is lower than the monthly payment on the bank loan. The monthly payment on a bank loan would be $272.50, which is lower than the monthly credit card payment. The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment. The monthly credit card payment would be $374.21, which is lower than the monthly payment on the bank loan.

Answers

A plan which would give Genesis the lowest monthly payment is: C. The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.

How to determine the plan with the lowest monthly payment?

In order to determine the plan which would give Genesis the lowest monthly payment, we would calculate the simple interest earned over each of the time period.

Mathematically, the simple interest earned can be calculated by using this formula:

A = P(1 + rt)

Where:

A represents the future value.P represents the principal or original value.r represents the interest rate.t represents the time.

Substituting the given parameters into the formula, we have;

A = 9000[1 + (0.09 × 3)]

A = 9000[1 + 0.27]

A = 9000 × 1.27

Future value, A = $11,430.

Next, we would calculate the monthly payment over a period of 36 months as follows:

Monthly payment = Future value/Time

Monthly payment = 11,430/36

Monthly payment = $317.50.

Similarly, we would calculate the compound interest earned on the credit card by using this formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

A = 9000[1 + (0.18/12)]⁽¹² ˣ ⁷⁾

A = 9000[1 + 0.015]⁸⁴

A = 9000 × 1.015⁸⁴

A = 9000 × 3.49258954

Future value, A = $31,433.31.

Next, we would calculate the monthly payment over a period of 84 months as follows:

Monthly payment = Future value/Time

Monthly payment = 31,433.31/84

Monthly payment = $372.21.

In this context, we can reasonably infer and logically deduce that the plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan.

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Answer:

C

Step-by-step explanation:

got 100% on exam

Which is equivalent to (9 y squared minus 4 x)(9 y squared 4 x), and what type of special product is it?

Answers

The solution of the expression ( 9y² - 4x )( 9y ² + 4x) will be 81y⁴ - 16x².

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression ( 9y² - 4x )( 9y ² + 4x) will be solved as below:-

Use the formula:- ( a + b ) ( a - b ) = a² - b²

a = 9y²

b = 4x

( 9y² - 4x )( 9y ² + 4x ) = ( 9y² )² - ( 4x )²

Therefore, solution of the expression ( 9y² - 4x )( 9y ² + 4x) will be 81y⁴ - 16x².

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Solve the system of inequalities by graphing.
3x + 4y ≥ 16
-4x+6y < 30

Answers

x= -0.706, y= 4.529

The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.

3x+4y z 16

-4x+6y< 30

Solving the two equations we get,

x=-0.706, Y= 4.529

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Any tips for doing complicated order of operation problems. Algebra 2

Answers

This video can help you

https://www.khanacademy.org/math/cc-sixth-grade-math/x0267d782:cc-6th-exponents-and-order-of-operations/cc-6th-order-of-operations/v/more-complicated-order-of-operations-example

the ratio of wins to losses to ties for yan's soccer team at was 3:2:1. if the team played 18 games, how many games did they win? Show your work.

Answers

Answer:

9

Step-by-step explanation:

Let the ratio's unit be x. We have:

3x:2x:x. We add these up to get 6x. 6x=18, so x=3. 3*3 (since the wins is 3 in the ratio 3:2:1) is 9, so there's your answer! We can double check because 3*2 = 6 losses, and 3*1 = 3 draws, and 9:6:3=3:2:1, and 9+6+3=18!

I need some help please

Answers

Step-by-step explanation:

[tex] = \frac{ {2}^{4} }{ {2}^{7} } [/tex]

[tex] = {2}^{4 - 7} [/tex]

[tex] = {2}^{ - 3} [/tex]

[tex] = \frac{1}{ {2}^{3} } [/tex]

[tex] = \frac{1}{2 \times 2 \times 2} [/tex]

[tex] = \frac{1}{8} [/tex]

The answer is not 8, but 1/8.

HELP!!!! i need a mathematician!!!

Answers

Check out the attached photo

A cylindrical can has a radius of 4 centimeters. Write the volume V of the can as a function of the height h.

Answers

The volume of cylinder V as a function of the height h is: V = 50.24h

In this question, we have been given the radius of the cylinder which is 4 centimeters.

We need to write the volume V of the can as a function of the height h.

We know that, the formula of volume of the cylinder of radius r and height h is, V = π × r² × h

In this question, r = 4 centimeters

Substitute r = 4 in above formula of volume of cylinder.

⇒ V = π × r² × h

⇒ V = π × 4² × h

⇒ V = 3.14 × 16 × h

⇒ V = 50.24 × h

⇒ V = 50.24h

Therefore, the volume of cylinder V as a function of the height h is:

V = 50.24h

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if the nth term of a number sequence is n squared-3, find the first 3 terms and the 10th term

Answers

The first three terms of the number sequence are 1, 1/8, and 1/27. And the tenth term of this sequence is 1/1000.

We have been given the nth value of a number sequence that is,

           aₙ = n⁻³

We can find the terms by replacing n with required values.

Thus the first term , a₁ = (1)⁻³

                                         = 1

Second term, a₂ = (2)⁻³

                             = 1/8

Third term, a₃ = (3)⁻³

                          = 1/27

Tenth term, a₁₀ = (10)⁻³

                             = 1/1000                            

Hence the first three terms of the number sequence are 1, 1/8, and 1/27. And the tenth term is 1/1000.

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please help, very important question!!!

Describe in words where the square root of 75 minus 13 would be plotted on a number line.

Between 8 and 9, but closer to 8
Between 8 and 9, but closer to 9
Between −4 and −5, but closer to −4
Between −4 and −5, but closer to −5

Answers

The place where the square root of 75 minus 13 would be plotted on a number line will be C. Between −4 and −5, but closer to −4.

How to calculate the value?

It should be noted that square root means the number multiplied that will give the original value.

In this case, the square root of 75 is 8.66. Then we will subtract 13 from it. This will be:

= 8.66 - 13

= 4.34

Therefore, the place where the square root of 75 minus 13 would be plotted on a number line will be between −4 and −5, but closer to −4.

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Answer:

The person above was correct about the answer! I took the risk for you guys to make sure it was right, and it was! good luck on your exam!! :D

13. Which function includes the data set below?
{(2, -2), (6, 10), (13, 31)) (Lesson 2-1)
A. f(x)=2x-3
B. f(x) = -2x + 2
C. f(x) = 3x8
D. f(x) = 4x 10.
-

Answers

Answer:

C. 3x-8

Step-by-step explanation:

To solve this, we put the x values into the functions and calculate the y values.

A

y = (1/2)x - 3

test for (2, -2)

-2 = 1/2 × 2 - 3 = 1 - 3 = -2 correct

test for (6, 10)

10 = 1/2 × 6 - 3 = 3 - 3 = 0 wrong

so, A cannot be right.

B

y = -2x + 2

test for (2, -2)

-2 = -2×2 + 2 = -4 + 2 = -2 correct

test for (6, 10)

10 = -2×6 + 2 = -12 + 2 = -10 wrong

so, B cannot be right.

C

y = 3x - 8

test for (2, -2)

-2 = 3×2 - 8 = 6 - 8 = -2 correct

test for (6, 10)

10 = 3×6 - 8 = 18 - 8 = 10 correct

test for (13, 31)

31 = 3×13 - 8 = 39 - 8 = 31 correct

so, C is a right answer.

D

y = 4x - 10

test for (2, -2)

-2 = 4×2 - 10 = 8 - 10 = -2 correct

test for (6, 10)

10 = 4×6 - 10 = 24 - 10 = 14 wrong

so, D cannot be right.

I hope this helped! Have a good day! :D

find the midpoint of the line segment with the given points.

Answers

Answer:

[tex]\displaystyle (-\frac{5}{2}, 4)[/tex]

Step-by-step explanation:

    We will use the midpoint formula to solve.

[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]

[tex]\displaystyle (\frac{0+-5 }{2}, \frac{3+5}{2} )[/tex]

[tex]\displaystyle (\frac{-5 }{2}, \frac{8}{2} )[/tex]

[tex]\displaystyle (-\frac{5}{2}, 4)[/tex]

Help please
15 points
need by the end of today

Answers

Answer:

16. G

17. C

Step-by-step explanation:

g because it’s between and c because noon is lunch

What is the difference quotient of the function, g (x) = startroot x endroot, x greater-than-or-equal-to 0?

Answers

The difference quotient of the function g(x) = √x is  [√(x+h) -√x]/h

Difference quotient of the function:

Difference quotient of the function means a measure of the average rate of change of the function over an interval.

The difference quotient formula of a function y = f(x) is,

[ f(x + h) - f(x) ] / h

where

f (x + h) is obtained by replacing x by x + h in f(x)

f(x) is the actual function

Given,

Function g(x) = √x where x≥0.

Here we need to find the difference of the quotient of the function.

For that,

First we have to calculate the value of g(x + h),

By simply replacing the value of x as x + h,

So,

g(x + h) = √(x+h)

Now apply the values on the formula in order to solve it,

=> [√(x+h) -√x]/h

We can't simplify it further.

So, the difference quotient of function is,

=> [√(x+h) -√x]/h

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Answer: D

Step-by-step explanation:

took one for the team

what is unit rate for graph

Answers

Step-by-step explanation:

To find the unit rate of a graph find two points. and set up this equation

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Then solve for the Unit rate which can also be referred to as slope, or change in y over x

Hope this helps!

What are the missing numbers in the following pattern ?
1, 9 , 25, 49 , -------- , 121 , 169 , ------- , 289 , ----------.

Answers

Answer:

81, 225, 361

Step-by-step explanation:

meaning of primary school​

Answers

Answer:

primary school is a primary school

Answer:the meaning of primary school is elementary school basically grades Kinder-5th grade

Step-by-step explanation:

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