which of the following must describe an irrational number

9514 1404 393

Answer:

  (a) 84

Step-by-step explanation:

The largest integer that will round to 80 is one that does not have 5 or more in the ones place: 84.

__

The largest decimal number of a particular precision is 84.99999... (some finite number of 9s). If there are an infinite number of 9s, the number can be shown to be equal to 85, which would round to 90.

Answer:

Since the limit resulting from the ratios test is = 1 / 729  which is < 1  the series converges absolutely

Step-by-step explanation:

Since the limit resulting from the ratios test is = 1 / 729  which is < 1  the series converges absolutely

ATTACHED BELOW IS THE DETAILED SOLUTION of the above answer

Answer:

34

Step-by-step explanation:

[tex]6 + 15(5 - 3) + (9 - 4) - 7\\6 + 15(2) + 5 - 7\\6 + 30 + 5 - 7\\36 + 5 - 7\\41 - 7\\34[/tex]

Use PEMDAS, order of operations.

First work out the Parenthesis, then any Exponents, then Multiplication, then Division, then Addition and finally, Subtraction, from left to right.

Answer:

the unit rate is 0.50 per piece

Step-by-step explanation:

divide $2.50 by 5

Answer:

7. 3x + 6 = 3x + 10

8. 3x + 6 = x + 2(x + 3)

Step-by-step explanation:

7.

To write an equation with no solutions, we write an equation in which the x terms are eliminated, and we end up with a false statement when we try to solve the equation.

Start with

3x + 6 =

This means: take a number, x, multiply it by 3, then add 6 to it.

To make it into an impossible equation, take the same number x, multiply it by 3, and now add 10 instead of 6. The same number x, multiplied by 3 just like above, and now with 10 added to it cannot equal 3x + 6.

Let's write the equation and try to solve it.

3x + 6 = 3x + 10

Subtract 3x from both sides.

6 = 10

Since 6 = 10 is a false statement, there is no solution.

8.

Now we need an equation that is true for every value of x.

We start with 3x + 6 on the left side.

3x + 6 =

To make it true for every value of x, which means it has an infinite number of solutions, we write an expression on the right side that is the same as 3x + 6, just written in a different form.

For example, start with

3x + 6

Separate 3x into x + 2x, now you have

x + 2x + 6

Now factor 2 out of 2x + 6, so you get

x + 2(x + 3)

The expression x + 2(x + 3) is equal to the expression 3x + 6. Now we use x + 2(x + 3) on the right side of the equation we are writing. We get:

3x + 6 = x + 2(x + 3)

Let's solve this equation.

Distribute on the right side.

3x + 6 = x + 2x + 3

Combine like terms on the right side.

3x + 6 = 3x + 6

Subtract 6 from both sides.

3x = 3x

Subtract 3x from both sides.

0 = 0

0 = 0 is a true equation. Therefore, the equation 3x + 6 = x + 2(x + 3) has infinitely many solutions. in other words, every real number is a solution of the equation.

619

the answer is 619

Answer:

= -5¹¹

Step-by-step explanation:

[tex]\frac{-5^{5} }{-5^{-6} }[/tex]

= -5^(5+6)

= -5¹¹

Answer:

[tex] \frac{2}{3} \times 2 \\ = \frac{4}{3} [/tex]

omitir

Step-by-step explanation:

_________________

Step-by-step explanation:

Haley: 10x + 155

brother: 230-15x

10x+155=230-15x

25x + 155 = 230

25x = 75

x = 3 weeks

10(3)+155= 30+155= $185 for Haley

230-15(3)= 230-45= $185 for brother

Answer:

a=36, b=3, c=36, d=66

Step-by-step explanation:

a=3600/100=36

b=30*100/1000=3

c=30*100+(36*100)=66 hundreds

Answer:$47.50

Step-by-step explanation:First you need to find how much she earns per hour or the unit rate by dividing the money she earned (28.50) by the hours she worked(6) which equals to $4.75.Then you take that number and multiply it by the 10 hours which equals $47.50.

Answer:

9

Step-by-step explanation:

The thousandths place is the third digit after the decimal place. In this case, the digit in the thousandths place is 9. Note that this is the thousandths place, not the thousands place.

Answer:

1) 6A + 4S = 548

2) A +12 = S  multiplying by 4

2) 4A -4S = -48 then we add equation 1)

1) 6A + 4S = 548

10A = 500

50 Adult Tickets were sold and

62 Student Tickets were sold.

Double Check

50 * $6 = $300

62 * $4 = $248

Total = $548 Answer is correct!!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

.40m + 80 = .80m + 20

-.40m + 80 = 20

-.40m = -60

m = 150 miles in a day

Answer:

8.2 + (h÷6=w)

Answer:

(a) 2.79 seconds after its release the bag will strike the ground.

(b) At a velocity of 73.28 ft/second it will hit the ground.

Step-by-step explanation:

We are given that a balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 80 feet above the ground.

Assume the acceleration of the object is a(t) = −32 feet per second.

(a) For finding the time it will take the bag to strike the ground after its release, we will use the following formula;

                        [tex]s=ut+\frac{1}{2} at^{2}[/tex]

Here, s = distance of the balloon above the ground = - 80 feet

          u = intital velocity = 16 feet per second

          a = acceleration of the object = -32 feet per second

          t = required time

So,  [tex]s=ut+\frac{1}{2} at^{2}[/tex]

      [tex]-80=(16\times t)+(\frac{1}{2} \times -32 \times t^{2})[/tex]

       [tex]-80=16t-16 t^{2}[/tex]

       [tex]16 t^{2} -16t -80 =0[/tex]

          [tex]t^{2} -t -5 =0[/tex]

Now, we will use the quadratic D formula for finding the value of t, i.e;

           [tex]t = \frac{-b\pm \sqrt{D } }{2a}[/tex]

Here, a = 1, b = -1, and c = -5

Also, D = [tex]b^{2} -4ac[/tex] = [tex](-1)^{2} -(4 \times 1 \times -5)[/tex] = 21

So,  [tex]t = \frac{-(-1)\pm \sqrt{21 } }{2(1)}[/tex]

      [tex]t = \frac{1\pm \sqrt{21 } }{2}[/tex]

We will neglect the negative value of t as time can't be negative, so;

[tex]t = \frac{1+ \sqrt{21 } }{2}[/tex] = 2.79 ≈ 3 seconds.

Hence, after 3 seconds of its release, the bag will strike the ground.

(b) For finding the velocity at which it hit the ground, we will use the formula;

                       [tex]v=u+at[/tex]

Here, v = final velocity

So,  [tex]v=16+(-32 \times 2.79)[/tex]

      v = 16 - 89.28 = -73.28 feet per second.

Hence, the bag will hit the ground at a velocity of -73.28 ft/second.

Answer:

A) З x,y : ( x/y < 1,  y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) n ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

Step-by-step explanation:

since the domain of discourse is a set of all real numbers the logical expressions of the English statements are expressed with respect to real number:

A) З x,y : ( x/y < 1,  y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) n ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

In translating English written expressions to logical expressions, we have to know the domain of the discourse. The domain of discourse can be said to be a set of all real numbers that the logical expressions of the English statements are expressed with respect to their real numbers. And as such, we arrive at each of this.

A) З x,y : ( x/y < 1,  y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) n ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

read more about logic here https://brainly.com/question/7581378

To find the GCF (greatest common factor) we must find the largest thing that can go into both of them.

We cannot divide by any exponents because only one has them, however we can divide by 5x.

5x^7, 30x

x^7, 6

So, the GCF is 5x

Hope this helps,

Jeron

P.S

If this helps, consider marking brainliest

edit:

Thank you :D

Answer:

5x.

Step-by-step explanation:

The GCF of 5 and 30 = 5.

The GCF of x^7 and x  is x.

Answer:

The Confidence Interval = ($44,745.55 , $46,094.45)

Step-by-step explanation:

The formula for Confidence Interval =

Confidence Interval = Mean ± z × Standard deviation/√n

Where n = number of samples = 25 managers

Standard deviation = $2,050

Mean = $45,420

z = z score of the given confidence interval

= z score of 90% confidence interval

= 1.645

Confidence Interval = $45,420 ± 1.645 × $2,050/√25

= $45,420 ± 1.645 × $2,050/5

= $45,420 ± 674.45

Confidence Interval =

$45,420 - 674.45 = $44,745.55

$45,420 + 674.45 = $46,094.45

Therefore, the Confidence Interval = ($44,745.55 , $46,094.45)

0:5 and 0:20 are equivalent. You multiply both 0 and 5 by 4 to get 0 and 20.

Answer:

obey the law    :)

Step-by-step explanation:

Answer: Obey the law

Step-by-step explanation:

Answer:

2,575 grams of blood plasma are in the typical adult human body

Step-by-step explanation:

Density is the property that matter, whether solid, liquid or gas, has to compress into a given space, so it relates the amount of mass per unit volume. So the density of a substance is the quotient between mass and volume:

[tex]density=\frac{mass}{volume}[/tex]

In this case, you know:

Replacing:

[tex]1.03\frac{g}{mL} =\frac{mass}{2,500 mL}[/tex]

and solving, you get:

mass= 1.03 [tex]\frac{g}{mL}[/tex] *2,500 mL

mass= 2,575 g

2,575 grams of blood plasma are in the typical adult human body

Answer:

[tex]\huge \boxed{y=9x-8}[/tex]

Step-by-step explanation:

The product is the result after multiplying two or more values together.

A number less than a value means that the number is subtracted from that value.

[tex]y=9 \cdot x-8[/tex]

[tex]y=9x-8[/tex]

Answer:

The P-value is between 2.5% and 5% from the t-table.

Step-by-step explanation:

We are given that a random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years.

Let [tex]\mu[/tex] = true average age of all the students at the university.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] 24 years     {means that the average age of all the students at the university is less than or equal to 24}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 24 years     {means that the average age of all the students at the university is significantly more than 24}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                               T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~   [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample average age = 25 years

             s = sample standard deviation = 2 years

             n = sample of students = 16

So, the test statistics =  [tex]\frac{25-24}{\frac{2}{\sqrt{16} } }[/tex]  ~  [tex]t_1_5[/tex]  

                                     =  2  

The value of t-test statistics is 2.

Also, the P-value of test-statistics is given by;

            P-value = P( [tex]t_1_5[/tex] > 2) = 0.034 {from the t-table}

The P-value is between 2.5% and 5% from the t-table.

Answer:

5

Step-by-step explanation:

A turning point is the point where a graph changes from increasing to decreasing or decreasing to increasing.

Count up the points and there are 5!

Answer:

[tex]\huge \boxed{x = \frac{33}{5} }[/tex]

Step-by-step explanation:

[tex]\displaystyle \sf \frac{3}{5} =\frac{x}{11}[/tex]

Cross multiply.

[tex]\sf x \cdot 5=3 \cdot 11[/tex]

[tex]\sf 5x=33[/tex]

Divide both sides by 5.

[tex]\displaystyle \sf x = \frac{33}{5}[/tex]

The value is an improper fraction in simplest form.

The solution of the given fractions 3/5=x/11 in the improper fraction will be 6 3/5.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

As per the given,

3/5 = x/11

x/11 = 3/5

x = (3/5)11

x = 33/5

x = (30 + 3)/5

x = 30/5 + 3/5

x = 6 + 3/5 = 6 3/5

Hence "The solution of the given fractions 3/5=x/11 in the improper fraction will be 6 3/5".

For more about fractions,

https://brainly.com/question/10354322

#SPJ2

Answer:

Step-by-step explanation:

[tex]\frac{3.3}{-2}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{3.3}{2}\\\\\mathrm{Divide\:the\:numbers:}\:\\\frac{3.3}{2}=1.65[/tex]

3/4 divided by 9/10

Reduce the expression, if possible, by canceling the common factors.

Exact Form:

5/6

Answer:

27/40

Step-by-step explanation:

There is no possible way to simplfiy the equation

Answer:

(-2, 3)

Step-by-step explanation:

Let's work backwards.

You start at (-2, -3).

Instead of "moving up 2 units", we "move down 2 units".

Moving up or down means changing the Y axis FYI.

(-2, -5)

Instead of "moving down 8 units", we "move up 8 units".

(-2, 3)

Answer:

(0,5)

Step-by-step explanation:

2 + -2 =0

-3 +8 =5

so its( 0,5)

HOPE THIS HELPS!!!!!!!!!!!!!!!!!!

Answer:

Proportional

Step-by-step explanation:

If you simplify 8/16 down as a fraction it would be 1/2 which is the same as 1/2 for the other one. You can also times the new rings by 8 which equals the old rings.