Write the domain as an inequality and range as inequality

diameter = 13.93771776cm

The rational sums are:

√16 + (-21/5)

√4 + 5

√36 + ∛27

The irrational sums are:

π + 24

√8 + π

3/4 + √27

√16 + (-21/5)

= 4 + (-21/5)

= 4 - (21/5)

= (20 - 21) / 5

= - 1/5

= -0.2

Hence, the sum can be expressed as p/q so it is a rational number.

π + 24

= 3.1428571429 + 24

= 27.1428571429

The sum is non-terminating, so it is an irrational number.

√8 + π

= 2.82842712 + 3.1428571429

= 5.97128426

The sum is non-terminating, so it is an irrational number.

√4 + 5

= 2 + 5

= 7

The sum is an integer so it is a rational number.

√36 + ∛27

= 6 + 3

= 9

The sum is an integer so it is a rational number.

3/4 + √27

= 3/4 + 5.1961524227

= 0.75 + 5.1961524227

= 5.9461524227

The sum is non-repeating so it is an irrational number.

To learn more about rational and irrational numbers visit:

https://brainly.com/question/17450097

#SPJ9

The complete question is: "The table has a set of expressions representing the sums of rational and irrational numbers. Find each sum, and indicate whether the sum is rational or irrational. Drag the labels to the correct locations on the table. Each label can be used more than once."

The side length of the square that provides a counterexample to the statement square units in the area of a square is greater than or equal to the number of units in the perimeter is 2 Units.

A square is a kind of a 2D figure in which all the sides are equal.

We know that the absolute perimeter of a square is the sum of the lengths of all the total sides and as we see the area of a square is (side)².

Assuming that the whole square has four units completed for each side.

The square's circumference can be calculated as is 4 sides plus 4 fours, or as seen as 16 units.

Now the area of the square will be calculated as (4) ² = 16 sq units.

Now assuming that the total side length of the square about is 2 units.

The square's perimeter is calculated as (24) = 8 units, while its total area is calculated as (22) = 4 units.

∴ 2 units make up the side length that serves as a counterexample.

Basically, herein we have to determine the absolute numbers that when are multiplied by 4 are seen to be greater than it's square such numbers are 1, 2, 3.

To know more about Squares, visit:

https://brainly.com/question/28776767

#SPJ13

Answer:

Correct

Step-by-step explanation:

Surface area of a sphere = 4 pi r^2  

   diameter = 28    then r = 14 ft

4 (pi)(14^2) = 2463  ft^2        

    looks correct for your value of pi =3.14

The y-intercept is (0, 1).

Substituting [tex]x=-3[/tex] yields [tex]f(x)=-\frac{1}{3}(-3)+1=2[/tex].

So, draw the line through (0, 1) and (-3, 2).

Answer:

let y represent number of months in a row and

let S represents sum of letters that have been sent in y number of months

This simply means that we can write equation:

14*y = S

For any number of months we express it in equation above and we get total number of letters she wrote.

Answer:

[tex]{ \sf{total = 14n \: \: letters}}[/tex]

Using it's concept, the probabilities for this problem are given as follows:

a) A occurs and B does not: 0.1817 = 18.17%.

b) Either occurs: 0.3434 = 34.34%.

A probability is calculated as the number of desired outcomes in the experiment divided by the number of total outcomes in the experiment.

In the context of this problem, we have two mutually exclusive events, meaning that they cannot happen together.

For item a, we have that:

The events are mutually exclusive, hence we can multiply the probabilities as follows:

p = 0.23 x 0.79 = 0.1817 = 18.17%.

For item b, we add the probability in item with the probability of B occurring and A not, found as follows:

Hence:

p = 0.1817 + 0.21 x 0.77 = 0.3434 = 34.34%.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

+

Step-by-step explanation:

[tex]-8-(-3)=-8+3[/tex]

The most appropriate choice for function and subtraction of function will be given by-

(r-c)(x) = [tex]4x^2-8x-25[/tex]

What is function and subtraction of function?

A function from A to B is a rule that assigns to each element of A a unique element of B

A is the domain set and B is the co-domain set.

Subtraction of function

Suppose f(x) and g(x) are two functions. Then

(f - g)(x) = f(x) - g(x)

Here,

r(x) = [tex]4x^2 + 2x[/tex]

c(x) = [tex]10x+25[/tex]

(r-c)(x) = r(x) - c(x) = [tex](4x^2+2x)-(10x +25)[/tex]

                            = [tex]4x^2+2x -10x-25[/tex]

                            = [tex]4x^2-8x-25[/tex]

To learn more about function and subtraction of function, refer to the link:

https://brainly.in/question/26266500

#SPJ9

Answer: A: A = 2.2240  B: C = 3

Hope this helped! :)

Answer:

$29

Step-by-step explanation:

First you divide 290.44 by 10 which would equal 29.044, then you would round both 4's down to 0 which would get you $29.

Answer:

median = 9

range = 5

mode = 7

Step-by-step explanation:

median = 9 is in the middle of 10 and 8

range = 12 - 7

mode = there are 3 7s

Mode : the quantity that appears the most in a sequence
Because 7 is the number that appears the most ( 3 times ), it is the mode.

Range : the difference between the largest number and the smallest number
In this case, 12 is the biggest and 7 is the smallest -> Range = 5.

Median : the "middle number" (for example, if the sequence has 7 numbers, the 4th number will be the median. if the sequence has 8 numbers, the median will be the average of the 4th and 5th number, and of course from increasing order.)
There are 8 numbers in the sequence, from lowest to highest : 7,7,7,8,10,11,12,12.

So, the median = (8+10)/2 = 9.

The equation of the first line is y = -1/3x - 4, while the equivalent equations of the second line are y = -2/3(x - 3)  and y = -2/3x + 2

The given parameters are

Slope, m = 5/4

Point, (x1, y1) = (1, 3)

A linear equation is represented as

y = m(x - x1) + y1

So, we have

y = 5/4(x - 1) + 3

This gives

y = 5/4x + 7/4

Hence. the linear equation is y = 5/4x + 7/4

Here, we have

(x, y) = (3, 0) and (0, 2)

A linear equation is represented as

y = m(x - x1) + y1

Where

m = (y2 - y1)/(x2 - x1)

So, we have

m = (2 - 0)/(0 - 3)

m = -2/3

So, we have

y = -2/3(x - 3)

The above equation can be rewritten as

y = -2/3x + 2

Hence, the equations are y = -2/3(x - 3)  and y = -2/3x + 2

Read more about linear equation at

brainly.com/question/14323743

#SPJ1

Answer:

3

Step-by-step explanation:

9x+y=11 .....(1)

-6x-y=-8 ....(2)

Add equation 1 to equation 2

-6x+9x -y+y =-8+11

3x=3

Divide both sides by 3

3x/3=3/3

Here is the answer

I hope it helped you

Yes, the provided relation is, indeed, a function. Each x value has just one y value.

In the given table,

x         y  

-1         -2

2          3

3         1

6         -2

A relationship is a function if each x-value has its y-value.

In the relationship, each x-value has a unique and unique y-value. For example, a value of -1 is -2, a value of 2 is 3, a value of 3 is 1, and a value of 6 is -2.

Although the inclusion of (-1,-2) and (-3) suggests that this is not a one-to-one or infusion function of (6,-2).

As a result, the given relationship is a function. Each x-value has only one y-value.

Learn more about functions at

https://brainly.com/question/12894231?referrer=searchResults

#SPJ1

Answer:

(150*85)*0.9

=12750*0.9

=11475

Answer:

11475

Step-by-step explanation:

((50+50+50)*85)*0.9=

(150*85)*0.9=

12750*0.9=

11475

Answer:

Undefined

Step-by-step explanation:

The x-coordinates are ths same, so this is a vertical line. Vertical lines have undefined slope.

Answer: 44 miles

Step-by-step explanation: any percentage can be written as a decimal. for example, 50% is 0.50 or 25% is 0.25. in this case, 100 percent is 1.00. now that we know what 100 percent is, we multiply 44 by 1.00(100%). my old math teacher told me that whenever you have something OF something, you multiply them togethor. in other words, of means times. this problem can be written 1.00 times 44.

Answer:

20 - b

Step-by-step explanation:

5a - b

substitute a for 4 because a = 4

5(4) - b

20 - b

Circle with center (2,-3) that passes through (2,0) has an area of 9π units² in terms of π and 28.3 units² (nearest tenth).

As given in the question,

Circle with center C(2, -3)

Passes through point A(2,0)

Graph of the circle attached.

Radius of the circle 'r'

r =CA

CA = √(2-2)² +(0+3)²

     = √9

     = 3

Area of the circle = πr²

                             = π (3)²

                             = 9π units² (in terms of π)

                             = 9 ×3.14

                             = 28.26

                             = 28.3 units²

Therefore, circle with center (2,-3) that passes through (2,0) has an area of 9π units² in terms of π and 28.3 units² (nearest tenth).

Learn more about area here

brainly.com/question/27683633

#SPJ1

3 is a constant, 4 is the coefficient, 5a+3+4b is written as a sum of three terms are the true statements.

The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. Mathematicians employ the action of addition to combine numbers. The sum of the given numbers is the outcome of addition, or the total of the inputted numbers.

Given that,

5a+3+4b

Select all of the true statements below.

5a+3+4b is written as a product of three factors.

3 is a constant.

4 is a coefficient.

4b and 3 are like terms.

5a+3+4b is written as a sum of three terms.

Therefore, 3 is a constant, 4 is the coefficient, 5a+3+4b is written as a sum of three terms are the true statements.

To know more about addition visit:

https://brainly.com/question/20658817

#SPJ9

1,470

Step-by-step explanation:

because if he 4 miles and than 3 miles you would add them and get 7. you would take that 7 and double the 7 and multiply it by 105 cause that's how many calories he burnt each miles he ran then you would get the total of 1470 calories

The values are |-3.25| = 3.25  and  |-4.25| = 4.25

The expressions are given as

|-3.25| and |-4.25|

The above expressions are absolute value expressions

And as a general rule, an absolute value expression, when evaluated must follow the following rule

|±a|  = a

Using the above as a guide, we have

|-3.25| = 3.25

Also, we have

|-4.25| = 4.25

Hence, the values of the expressions are |-3.25| = 3.25  and  |-4.25| = 4.25

Read more about absolute value expressions at

https://brainly.com/question/13282457

#SPJ1

Answer:

Step-by-step explanation:

Show that (a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0

(a−b)⋅(a+b)+(b−c)⋅(b+c)+(−a+c)⋅(a+c)=0

(a^2−b^2)+(b^2−c^2)+(−a^2+c^2)=0

(a^2−c^2)+(−a^2+c^2)=0

0=0

this equation is always true

[tex]\left(a-b\right)\left(a+b\right)+\left(b-c\right)\left(b+c\right)+\left(c-a\right)\left(c+a\right)=0[/tex]

[tex]\left(a-b\right)\left(a+b\right)+\left(b-c\right)\left(b+c\right)+\left(c-a\right)\left(c+a\right)-\left(b-c\right)\left(b+c\right)=0-\left(b-c\right)\left(b+c\right)[/tex]

[tex]\left(a-b\right)\left(a+b\right)+\left(c-a\right)\left(c+a\right)=-\left(b-c\right)\left(b+c\right)[/tex]

[tex]\left(a-b\right)\left(a+b\right)+\left(c-a\right)\left(c+a\right) = a^2-b^2+\left(c-a\right)\left(c+a\right) =a^2-b^2+c^2-a^2 =-b^2+c^2[/tex]

[tex]-\left(b-c\right)\left(b+c\right) =-\left(b^2-c^2\right) =-b^2-\left(-c^2\right) =-b^2+c^2[/tex]

[tex]-b^2+c^2=-b^2+c^2[/tex]

[tex]0=0[/tex]

It is always true because 0=0.

Answer:

n= -3

Step-by-step explanation:

The solution is attached

Gabi is correct to say that the rectangle will be enlarged when it will be dilated by a scale factor of 3/2.

As it is given that the rectangle BCDE is dilated by the scale factor of 3/2 which is more than 1, so the rectangle will expand or enlarge.

To learn more about scale factor visit:

https://brainly.com/question/8765466

#SPJ9

The complete question is: "Rectangle BCDE will be dilated by a scale factor of 3/2.

Gabe says the rectangle will be reduced.

Gabi says the rectangle will be enlarged."