PLEASE ANSWER NUMBER 32!!!

Answer:

The given equation is expansion of (a-b)² = a²-2ab+b²

[tex]\sqrt{81-18\sqrt{7}+7} \\ \sqrt{ {9}^{2} -2 \times 9 \times \sqrt{7}+ { \sqrt{7} }^{2} } \\ \sqrt{ {(9 - \sqrt{7})}^{2} } \\ {(9 - \sqrt{7})}[/tex]

hope that help.

Answer:

[tex]9-\sqrt{7}[/tex]

Step-by-step explanation:

Given expression:  [tex]\sqrt{81-18\sqrt{7}+7}[/tex]

To simplify the given expression, use the "A minus B Whole Square" identity.

A minus B Whole Square identity

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Comparing  [tex]81-18\sqrt{7}+7[/tex]  to the right side of the identity:

Therefore:

[tex](9-\sqrt{7})^2=81-18\sqrt{7}+7[/tex]

Finally:

[tex]\sqrt{81-18\sqrt{7}+7}=\sqrt{(9-\sqrt{7})^2}=9-\sqrt{7}[/tex]

Answer:

[tex]\sqrt{64} < \sqrt{72} < \sqrt{81}[/tex]

Step-by-step explanation:

The closest perfect squares to 72 would be 81 and 64. Therefore, the square root of 72 must be between 8 and 9.

Answer:

Pi is an irrational number

Answer:

Square root of 4π

An irrational number is never-ending or a fraction, and pi is almost never-ending, making it the only irrational number here since it cannot be written as a fraction.

Answer:

A, B, C, D

Step-by-step explanation:

They All add up to 360

Answer:

B and D

Step-by-step explanation:

figures which can be circumscribed by a circle are called cyclic quadrilaterals.

the opposite angles of a cyclic quadrilateral sum to 180°

A

∠ B + ∠ D = 82° + 56° = 138° ≠ 180° ← not cyclic

B

∠ B + ∠ D = 103° + 77° = 180° and ∠ A + ∠ C = 90° + 90° = 180° ← cyclic

C

∠ B + ∠ D = 112° + 90° = 202° ≠ 180° ← not cyclic

D

∠ B + ∠ D = 90° + 90° = 180° and ∠ A + ∠ C = 90° + 90° = 180°← cyclic

Then B and D can be circumscribed by a circle

The examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams.

It should be noted that average simply means the mean of a given set of numbers that are given in a data.

In this case, the examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams

Let's use examination results to butress our point. A good average examination results mean that the students have a good understanding of what was covered in the subject.

Let's say the average pass mark for a subject is 50. In this situation, someone who scores 50 and above is believed to understand the subject and has a pass mark.

On the other hand, someone who scores 49.8 is considered to have failed the class even though the score is identical. This shows the case of variability and how similar average can mean different things.

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A large standard deviation means the view of the people is very dispersed and not near the mean or not similar.

Standard deviation is a very important terminology in Statistics which help to study dispersion of data from the mean

A lower value of standard deviation means the data is accumulated near the mean while a higher value means the data is dispersed in the entire range.

It is given in the question that

A researcher conducts a written survey to determine the opinion of subjects regarding their opinion of the favorability of a certain hospital.

The standard deviation value for the sample is large

A large standard deviation means the view of the people is very dispersed and not near the mean or not same.

There will be difference in the opinion as they deviate from the central value.

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Answer:

d = 105° , e = 32° , f = 43°

Step-by-step explanation:

d and 105° are vertically opposite angles and are congruent , then

d = 105°

e and 32° are vertically opposite angles and are congruent , then

e = 32°

105° , e and f lie on a straight line and sum to 180° , that is

105° + e + f = 180°

105° + 32° + f = 180°

137° + f = 180° ( subtract 137° from both sides )

f = 43°

Answer:

d= 105° f= 43° e= 32°

Step-by-step explanation:

angle d = 105° ( vertically opposite angles are equal)

f°+d°+32°= 180 (angles on a straight line)

f+105+32= 180

f+137=180

f= 180-137= 43°

f= 43°

angle .d+f+e = 180° (angles on a straight line)

105+43+e = 180°

148+ e = 180°

e = 180-148

e = 32°

therefore,

d= 105° f= 43° e= 32°

Using Elimination Method:

[tex]2x + 9y = 11 \\ 3x + 8y = 18 \\ 3(2x + 9y = 11) =( 6x + 27y = 33 )\\ - 2(3x + 8y = 18) = ( - 6x- 16y = - 36) \\ 11y = - 3 \\ y = \frac{ - 3}{11} \\ 2x + 9( \frac{ - 3}{11} ) = 11 \\ 2x - 9( \frac{3}{11} ) = 11 \\ 2x - \frac{27}{11} = 11 \\ 2x = 11 + \frac{27}{11} \\ 2x = \frac{121 + 27}{11} \\ 2x = \frac{148}{11} \\ 2x \div 2 = \frac{148}{11} \div 2 \\ x = \frac{74}{11} \\ x = \frac{ - 3}{11} \\ y = \frac{74}{11} [/tex]

Work Shown:

C = 2*pi*r

C = 2*3.14*6

C = 37.68

Answer:

Part A answer: 0.5x + 3 = 18.50
How I got the answer: 0.5 means how much money she made from each cup. the variable x = how many she sold. 3 equals the tip from the neighbor. and 18.50 is the total price

Part B answer: (0.75x - 0.10x) + 3 = 21.00
How i got the answer: 0.75 is how much money she make from each cup. 0.10 means how many she paid for each cup she used. x = how many cups were sold/bought (should be the same number!). 3 is the tip. and 21.00 is the total price made.

Part C answer: The equations differ because Sydney didn't have to pay for the cups she used, while Daria did. Although they did have the same amount for a tip, Daria made more money than Sydney.
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this should be correct! hopes this help and i wish you good luck on your math exam!

Color Number of times picked from jewelry box

blue      14

green   8

red        16

white      12

The probability values are:

Here, we use the color of the earrings;

There are 4 colors in total, one of which is red

So, the theoretical probability of selecting a red earring is:

P(Red) = n(Red)/Total

This gives

P(Red) = 1/4 = 25%

Hence, the theoretical probability of selecting a red earring is 25%

The distribution of the earrings is given as:

Red = 2

Total = 20

The probability of selecting a red earring is:

P(Red) = n(Red)/Total

So, we have:

P(Red) = 2/20

Evaluate

P(Red) = 1/10 or 10%

Hence, the experimental probability of selecting a red earring is 10%

Here, we use the color of the earrings;

There are 4 colors in total, one of which is blue

So, the theoretical probability of selecting a blue earring is:

P(Blue) = n(Blue)/Total

This gives

P(Blue) = 1/4 = 25%

Hence, the theoretical probability of selecting a blue earring is 25%

The distribution of the earrings is given as:

Blue = 4

Total = 20

The probability of selecting a blue earring is:

P(Blue) = n(Blue)/Total

So, we have:

P(Blue) = 4/20

Evaluate

P(Blue) = 1/5 or 20%

Hence, the experimental probability of selecting a blue earring is 20%

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Answer:

In statistics, the range is the spread of your data from the lowest to the highest value in the distribution.

Step-by-step explanation:

Answer:

The range of a set of data is the difference between the highest and lowest values in the set.

Answer:

(-3,8) would NOT fit the table.

Answer: (-3,8)

Step-by-step explanation: click on the file

An exponential function follows the form a^x, where a is a constant. Other answers incorrectly say it depend on the exponent but that is no true because this is a constant raised to x NOT x raised to a number.

You ask for rate of change in other words derivative

You may recall that the derivative of a^x is a^x*ln(a).

Answer:

y = a × b^x

b > 1

2 × 2 × 2 × 2

Assume all values are greater than 1

This function is a representation of exponential growth.

Answer:

here's your answer....

An experimental study involves the researcher seeking to affect the results on purpose. The given situation is an observational study.

Since the researcher needs to find if a certain medicine improves the symptoms of the flu, therefore, the objective is to find out what influence a certain therapy has on the result. Hence, the given situation is an observational study.

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Answer:

188 cubic yards

Step-by-step explanation:

there are two ways to solve for this problem the first is to use the given numbers to find the missing one, then seperate the two cuboids and solve for their volumes independently, and finally add

the second way is too make one complete rectangular prism and simply find out the volume of the missing side and subtract that from the whole

The inequality that represent this scenario is x + y ≤ 12 and y > 5

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the rings and y represent the pin

There were no more than 12 of these, hence:

x + y ≤ 12

and

y > 5

The inequality that represent this scenario is x + y ≤ 12 and y > 5

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Answer:

there right i took the test

Step-by-step explanation:

cant add more because they covered it all

I m sorry I hv no idea

.........

165 total students in art club. 100 of those got the requested class.

100/165 = 0.6061

335 total students not in art club. 265 got the requested class.

265/335 = 0.7910

the probability was higher for kids not in art club, so all students had an equal opportunity.

Answer:

A. 2(x+3)(x^2+1)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The given expression is

Taking out the common factor.

The complete factor form of given expression is . Therefore the correct option is A.

Answer:

binomial

Step-by-step explanation:

i learned about binomials

Answer:

hope it helps you.......

The price of one senior citizen ticket is $7 and the price of one child ticket is $8.

s + 13c = 111 equation 1

12s + 9c = 156 equation 2

Where:

Multiply equation 1 by 12

12s + 156c = 1332 equation 3

Subtract equation 2 from equation 3

1176 = 157c

c = $8

Substitute for c in equation 1:

s + 13(8) = 111

s = 111 - 104

s = $7

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Answer:

The volume of a rectangular prism with a height of 14 m, a width of 12 m, and a length of 2 m is equal to 336 m³.

General Formulas and Concepts:
Geometry

Volume Formula [Rectangular Prism]:
[tex]\displaystyle V = lwh[/tex]

Step-by-step explanation:

Step 1: Define

Identify given variables.

h = 14 m

w = 12 m

l = 2 m

Step 2: Find Volume

∴ the volume of the rectangular prism with the given dimensions is equal to 336 cm³.

___

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Topic: Geometry

Answer:

10

Step-by-step explanation:

Answer:

[tex]x=13[/tex]

Step-by-step explanation:

Step 1: Isolate the square root on the left hand side

 Radical already isolated

  √x-4 = x-10

Step 2: Eliminate the radical on the left hand side

Raise both sides to the second power

    (√x-4)2 = (x-10)2

    After squaring

    x-4 = x2-20x+100

Step 3: Solve the quadratic equation

    Rearranged equation

    x2  - 21x  + 104 = 0

    This equation has two rational roots:

      {x1, x2}={13, 8}

Step 4: Check that the first solution is correct

    Original equation

    √x-4 = x-10

    Plug in 13 for  x

     √(13)-4 = (13)-10

     Simplify

     √9 = 3

     Solution checks !!

    Solution is:

     x = 13

Step 5: Check that the second solution is correct

    Original equation

    √x-4 = x-10

    Plug in 8 for  x

     √(8)-4 = (8)-10

     Simplify

     √4 = -2

     Solution does not check

     2 ≠ -2

One solution was found :

     x = 13

Answer:

It will take 3 3/4 cups of sugar and 5 1/4 cups of flour.

Step-by-step explanation:

Multiply 1 1/4 and 1 3/4 by three, because 3 batches of cookies are being made.

1 1/4x3= 3 3/4 cups of sugar

1 3/4x3= 5 1/4 cups of flour

Answer:

12 cm

Step-by-step explanation:

shape of DVD is circle

Area of circle = 36π

πr² = 36π

r² = 36

r = √36

r = 6

Diameter (d) = 2r = 2(6) = 12cm