There are 30 people at a meeting, They each shake hands with everyone. How many
handshakes were there? Hint: Think "The number of combinations of 30 people at a
meeting giving handshakes to each other 2 at a time."

Answer:

A C and E

Step-by-step explanation:

Answer:

Option (C)

Step-by-step explanation:

State                   Year entered into Union

Pennsylvania                      1787

Indiana                                1816

Florida                                1845

Texas                                  1845

West Virginia                      1863

Since North Carolina entered the Union 'x' years after Pennsylvania, expression that represents the the year North Carolina entered the Union will be = (1787 + x)

Therefore, Option (C) will be the answer.

Answer:

The answer is C

Answer:

Step-by-step explanation:

y + 2 = -5(x - 4)

y + 2 = -5x + 20

y = -5x + 18

Answer: -4.25 ≤ x ≤ 6.25

Step-by-step explanation:

The midpoint of a segment is located at the same distance of each of the endpoints of the segment.

The midpoint is at x = 1.

The length of the segment is 10.5, if we divide it by two we have:

10.5/2 = 5.25

Now, if we want the endpoints to be at the same distance of the midpoint, then the endpoints will be:

Xmax = midpoint + 5.25

Xmin = midpoint - 5.25

Then the extremes are:

Xmax = 1 + 5.25 = 6.25

Xmin = 1 - 5.25 = -4.25

Then this segment can be written as:

Xmin ≤ x ≤ Xmax

-4.25 ≤ x ≤ 6.25

Answer:

AB

Step-by-step explanation:

Answer:

please this search in Google

Answer:

B

Step-by-step explanation:

Answer:

12.33

Step-by-step explanation:

3r-4s

3×5-4×2/3

15-8/3

12.333

Answer:

2.06

Step-by-step explanation:

The formula for critical value = Margin of Error / Standard Error

Margin of Error = z × Standard deviation/√n

Mean for the month of March = $305.30

Standard deviation = $46.50

n = number of samples = 26 homes

z score for 95% confidence interval = 1.96

= 1.96 × $46.50/√26

= 17.874024556

Standard error = standard deviation/√n

= $46.50/√26

= 9.1194002839

Critical value = Margin of Error/Standard Error

= 17.874024556/9.1194002839

= 2.06

Answer:

7812.5 J

Step-by-step explanation:

Kinetic energy is equal to 1/2 m v^2.

The mass of the object is 100 and the velocity is 12.5 m/s.

Therefore, the kinetic energy is 1/2 (100) (12.5)^2 = 7812.5 J.

Answer:

KE = ½ (100kg) (12.5 m/s)2

KE = ½ (100kg)(156.25)

KE = 7,812.5J  

answer ^

Step-by-step explanation:

KE = ½ mv2

KE = ?

m = 100kg

v = 12.5m/s

Answer:

The answer would be x<4

Answer:

45855

Step-by-step explanation:

45655

+200

=45855

Answer:

45855

Step-by-step explanation:

Answer:

This is a simple multiplication problem.

Here is my steps:

(14x^3 + 35x^2 + 4x + 10x + 8x + 20)

Combine like terms:

(14x^3 + 35x^2 + 22x + 20)

And that is your answer^^

Answer:

14x3+ 39x2 +8x +20

Step-by-step explanation:

Use the distributive property and/or the FOIL (front, outer, inner, last) method.

First:

Multiply (7x2)(2x)

=14x3

Then (7x) (5)

=35x2

Second:

Multiply (2x)(2x)

=4x2

Then (2x)(5)

=10

Third:

Multiply 4(2x)

=8x

Then (4)(5)

=20

You should get:

14x3 +35x2 +4x2 +10 +8x +10

Add all common numbers.

You should get:

14x3+ 39x2 +8x +20

Answer:

9,000

Step-by-step explanation:

If x < 5, we round down.

If x ≥ 5, we round up.

Since 8,503, 500 is ≥ 5, we round up to 9. So,

8,503 ≈ 9,000

Answer:

9,000

Step-by-step explanation:

You're done! I hope this helps!

Answer:

D

Step-by-step explanation:

The function f(x) = 1050 is a polynomial with degree zero option (A) this is a polynomial function of degree zero with a leading coefficient of 1,050 is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

The question is incomplete.

The complete question is:

Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading coefficient. If the function is not a

polynomial, state why.

F(x) = 1,050

We have a function:

f(x) = 1050

We can write it as:

f(x) = 1050x⁰

x⁰ = 1

As we know from the definition of the polynomial:

The polynomial is a combination of the variable and constant with powers of x that are non-negative.

f(x) = 1050 is a polynomial function of degree zero with a leading coefficient of 1,050.

Thus, the function f(x) = 1050 is a polynomial with degree zero option (A) this is a polynomial function of degree zero with a leading coefficient of 1,050 is correct.

Learn more about Polynomial here:

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Answer:

it is only the RATIONAL numbers who can contain that number

Answer:

rational and real numbers!!

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The base is 3. You are taking the log base 3 of 1.

Since 3^0 = 1,

log_3 1 = 0

Answer:      " x = - 2.5 " .

___________________________________________

Step-by-step explanation:

Given:  

         9(3x + 7) - 3.5  = - 8 ;   Solve for "x" ;

First: Let us add "3.5" ;  to both sides of the equation:

    9(3x + 7) - 3.5   = - 8    ;

                  + 3.5  = + 3.5 ;

___________________________________________

to get:    

    9(3x + 7)           =  - 4.5 ; [Note that " -3.5 + 3.5 = 0" ; [Cancels out to "0".].  

Second: Let us expand the expression on the "left-hand side" of the equation.

 "  9(3x + 7) " ;

Note the "distributive property" of multiplication:

     " a(b + c) = ab + ac " ;

As such:

       9(3x + 7)  =  9(3x) + 9(7)  = 27x + 63 ;

Third:

Now, replace this term for the original expression, on the "left-hand side" of the equation;  & Rewrite the equation:

   27x + 63 = - 4.5 ;

Fourth:  Now, we can divide each side of the equation by "9" ;

(27x + 63) / 9 = (-4.5)/9 ;

to get:

(27x/9) + (63/9) = (-4.5/9) ;

  to get:

   3x + 7 = -0.5 ;            

Fifth:

Subtract "7" ; from Each side of the equation:

   3x + 7   =  -0.5 ;

        - 7   =   - 7  ;

___________________________________________

to get:

  3x          =   -7.5 ; [Note that " +7 - 7 = 0" ; [Cancels out to "0".]  ;

___________________________________________

Sixth:  Divide each side of the equation by "3";  

            to isolate "x" on one side of the equation; & to solve for "x" ;

___________________________________________

  3x / 3  =  -7.5 / 3 ;

 to get:

    x = - 2.5 .

___________________________________________

Hope this helps!  

 Best wishes!

___________________________________________

Step-by-step explanation:

Hey there!

Given;

[tex]9(3x + 7) - 3.5 = - 8[/tex]

Perform the operations in left side.

[tex]27x + 63 - 3.5 = - 8[/tex]

Simplify the like terms and find value of x.

[tex]27x + 59.5 = - 8[/tex]

[tex]27x = - 8 - 59.5[/tex]

[tex]27x = - 67.5[/tex]

[tex]x = \frac{ - 67.5}{27} [/tex]

Therefore the value of x is "-2.5".

Check;

9(3×-2.5+7) - 3.5 = -8

-4.5 - 3.5 = -8

-8 = -8 (True).

Hope it helps...

Answer:

Step-by-step explanation:

(.45)(288)= $129.60

(.75)(72)= $54

$129.60 + 54 = $184.60 is Audrey's pay

By assembling 288 small baskets and 72 large ones she earned  $183.6.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The owner pays her $0.45 per small basket and $0.75 per large basket and she assembled 288 small baskets and 72 large ones.

So, Her total pay can be obtained if we multiply pay per box by the no. of boxes and add them it will be her total pay which is,

= (0.45)(288) + (0.75)(72).

= $(129.6 + 54)

= $183.6

learn more about numerical expressions here :

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1. The domain of [tex]V (h(r))[/tex] is restricted to values of r greater than 0.

2. [tex]V(h(r)) = 3.5\pi r^3[/tex]

3. The volume depends on the radius of the cylinder

Answer: The square root of 140 is irrational.

Step-by-step explanation:

Take the square root of 140:

11.8321595662

This is an imperfect square root, and all imperfect square roots are irrational.

Answer:

-12r^2 + 89r - 145

Step-by-step explanation:

(2r(2)−16r+29)(r−5)

=(2r(2)+−16r+29)(r+−5)

=(2r(2))(r)+(2r(2))(−5)+(−16r)(r)+(−16r)(−5)+(29)(r)+(29)(−5)

=4r2−20r−16r2+80r+29r−145

=−12r2+89r−145

Answer:

$845

Step-by-step explanation:

13 lawns x $65 each = $845

Answer:

177 cm²

Step-by-step explanation:

Area of circle = [tex]\pi[/tex]r²

Radius = diameter/2 = 15/2 = 7.5

Therefore,

Area = 22/7 × 7.5 × 7.5

        = 176.7 = 177 cm²

Answer:

The answer is

Step-by-step explanation:

Area of a circle is given by πr²

where

r is the radius

From the question we were given the diameter

To find the radius using the diameter we use the relation

[tex]radius = \frac{diameter}{2} [/tex]

diameter = 15 cm

[tex]radius = \frac{15}{2} [/tex]

radius = 7.5 cm

Substitute the value into the above formula and solve for the area

Area = (7.5)²π

= 56.25π

= 176.714586

We have the final answer as

176.71 cm² to 2 decimal places

Hope this helps you

Answer:

They keep adding 3x as much

Answer:

1.) 93.35

2.) 7.582

Step-by-step explanation:

Answer:

1. 3.4 + .95 +89 = 93.35

2. 5.9 +.85 +.832 = 7.582

Answer:

$50.4

Step-by-step explanation:

Cost = $28

Mark up = 80%

Sale price is:

Answer:aw45

Step-by-step explanation:

w

Answer: x=52/3

Step-by-step explanation:

x+2/3=18

      x=18-2/3 ⇔ subtraction property of equality

      x=54/3-2/3 ⇔ convert integer into fraction

      x=52/3

Hope this helps!! :)

Answer:

see below

Step-by-step explanation:

( x+2)/3=18

Multiply each side by 3

(x+2)/3 *3 = 18*3

x+2 = 54

Subtract 2

x+2-2 =54-2

x = 52

or if

x+2/3=18

Subtract 2/3

x+2/3 -2/3 = 18-2/3

x = 17 +1 -2/3

x = 17  1/3

Answer:

2 real roots

2 imaginary roots

Step-by-step explanation:

So we have the function:

[tex]f(x)=x^4-15x^2-16[/tex]

And we want to find its zeros.

First, let u equal x². So:

[tex]0=u^2-15u-16[/tex]

Factor:

[tex]0=(u-16)(u+1)[/tex]

Zero Product Property:

[tex]u-16=0\text{ or }u+1=0[/tex]

Add 16; Subtract 1. Replace u:

[tex]x^2=16\text{ or }x^2=-1[/tex]

Take the square root:

[tex]x=\pm 4\text{ or }x=\pm i[/tex]

So, our solutions are 2 real roots and 2 imaginary roots.