Simplify each expression and state whether each is a volume, an area, or neither.
a) n(4)2 x
b) lw+lw+wh+wh+lh+lh
c) 8y2(10y2)

Answers

Answer 1

a. 2n^4b, neither a volume nor an area

b. 2Iw + 2wh + 2Ih, It is an area

c. 80 y^4, neither a volume nor an area

How to simply the algebraic expressions

a. n(4) 2 x b

n * n * n* n* 2 * b

2n^4b

It is neither an area nor a volume

b.  lw+lw+wh+wh+lh+lh

Collect like terms

2Iw + 2wh + 2Ih

It is an area

c. 8y2(10y2)
8y^2 * 10 * y^2

80 y^4

It is neither a volume nor an area

Thus, the expressions are simplified as a. 2n^4b, b. 2Iw + 2wh + 2Ih, c. 80 y^4

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1


Related Questions

what is the simplified equivalent of the terminating

Answers

The simplified fractional equivalent of 0.25 is 1/4 .

The complete question is

What is the simplified fractional equivalent of the terminating decimal 0.25?

What is simplified equivalent ?

When a number is solved to a state where it cannot be further simplified , but can be written in a different format , the two numbers are then called the simplified equivalent of each other.

The given number is decimal 0.25

So this number is in its simplified state but can also be written as

0.25 * 1

= 0.25 * 100 /100

= 25/100

= 1/4

Therefore 1/4 is the simplified fractional equivalent of 0.25.

To know more about simplified equivalent

https://brainly.com/question/11287955

#SPJ1

Fill in the blank. In the triangle below, y=? Round your answer to two decimal places.

Answers

Answer:

z= 38°

Step-by-step explanation:

z= 90(from right angle)+52=142

180-142=38°

Which of the following best describes a tessellation?
O A. An arrangement of repeating shapes with spaces between the
shapes and overlapping shapes
B. The point about which an image is rotated in rotational symmetry
C. An arrangement of repeating shapes with no spaces or overlaps
between them
D. The axis about which an image is rotated in reflectional symmetry

Answers

The statement that best describes a tessellation is an arrangement of repeating shapes with no spaces or overlaps between them. Option C

What is tessellation?

A tessellation can be defined as a pattern of geometric shapes that fill a two-dimensional space without gaps and overlaps

It is also known to repeat infinitely in all directions.

Thus, the statement that best describes a tessellation is an arrangement of repeating shapes with no spaces or overlaps between them. Option C

Learn more about dimensional shapes here:

https://brainly.in/question/273952

#SPJ1

Frankie’s weekly budget includes a long-term goal of purchasing a car. He is saving $15 a week toward that goal. He is considering saving up his money to purchase his grandmother’s older car. Frankie knows his grandmother has maintained the car and it is in good condition. She is also giving him a greatly discounted price of $800. What should Frankie consider before buying the car? Check all that apply. what he will be giving up if he spends $800 on the car the cost to maintain (oil, tires, gas, brakes) and insure the car how many of his friends have cars his short- and long-term financial goals if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs

Answers

The decision of purchasing a car must be taken by Frankie after considering the following points:

1. what he will be giving up if he spends $800 on the car

2. The cost to maintain and ensure the car

3. his short- and long-term financial goals

4. if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs.

What is the point he must know about purchasing a car?

Frankie is an individual person when he wants to purchase a car that is his long-term goal.

he must consider various things before making such a big expenditure.

The points to be noted before purchasing a car are:

what is the cost for Frankie for spending $800?

What will be the maintenance and insurance cost?

He must check his other short and long-term goals before purchasing a car.

Is the expense of the car a necessity for Frankie or he can use public transport.

To know more about financial decisions, refer to the link:

brainly.com/question/3236749

#SPJ1

Answer:

Step-by-step explanation: thank me later

A,B,E

world problem in length (trigonometry) geometry not chemistry

Answers

Answer:

≈ 47.2 m

Step-by-step explanation:

let the height from the sea to the base of lighthouse be h₁

let the height from the sea to the top of the lighthouse be h₂

using the tangent ratio in the right triangle

tan55.1° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h_{1} }{610}[/tex] ( multiply both sides by 610 )

h₁ = 610 tan55.1°

tan56.5° = [tex]\frac{h_{2} }{610}[/tex] ( multiply both sides by 610 )

h₂ = 610 tan56.5°

then

height of lighthouse = h₂ - h₁        

                                  = 610 tan56.5° - 610 tan55.1°

                                  = 610(tan56.5° - tan55.1° )

                                 ≈ 47.2 m ( to the nearest tenth )

Please solve these questions with an explanation

Answers

Answer:

Step-by-step explanation:

if the relationships below are given in the form(input, output) which paring always describes a function

Answers

The function among the given option is height of a building in feet, height of the building in inches , Option B is the correct answer.

What is a Function ?

A function is a law that relates a dependent and an independent variable.

The options mentioned below needs to be studied to determine which forms a function.

Option A , C and D doesn't really form a function ,

For two variables need to be a function then they have to be dependant on each other and have only one output for a given input.

height of a building in feet, height of the building in inches

Height of building in feet = (height of building in inches/12)

so this is a function

Therefore Option B is the right answer.

The missing options are

If the relationships below are given in the form (input, output), which pairing always describes a function?

A) (number of doors in a car, number of cup holders in the car)

B) (height of a building in feet, height of the building in inches)

C) (beverage charge on a bill, total meal charge on the bill)

D) (distance from home during a trip, time elapsed during the trip)

To know more about Function

https://brainly.com/question/12431044

#SPJ1

file attached belowfile attached below

Answers

answer: theres nothing there buddy

explanation: im not sure what youre asking

Find an equation for the line that passes through the point P(-5,-3) and is parallel to the line
7x + 4y
10. Use exact values.

Answers

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{y = -1.75x - 11.75}[/tex]

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{Goes through (-5, -3) and parallel to 7x + 4y = 10}[/tex]

Find:  [tex]\textsf{The equation in slope-intercept form}[/tex]

Solution: We need to first solve for y in the equation that was provided so we can determine the slope.  Then we plug in the values into the point-slope form, distribute, simplify, and solve for y to get our final equation.

Subtract 7x from both sides

[tex]\textsf{7x - 7x + 4y = 10 - 7x}[/tex][tex]\textsf{4y = 10 - 7x}[/tex]

Divide both sides by 4

[tex]\textsf{4y/4 = (10 - 7x)/4}[/tex][tex]\textsf{y = (10 - 7x)/4}[/tex][tex]\textsf{y = 10/4 - 7x/4}[/tex][tex]\textsf{y = 2.5 - 1.75x}[/tex]

Plug in the values

[tex]\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - (-3) = -1.75(x - (-5))}[/tex]

Simplify and distribute

[tex]\textsf{y + 3 = -1.75(x + 5)}[/tex][tex]\textsf{y + 3 = (-1.75 * x) + (-1.75 * 5)}[/tex][tex]\textsf{y + 3 = -1.75x - 8.75}[/tex]

Subtract 3 from both sides

[tex]\textsf{y + 3 - 3 = -1.75x - 8.75 - 3}[/tex][tex]\textsf{y = -1.75x - 8.75 - 3}[/tex][tex]\textsf{y = -1.75x - 11.75}[/tex]

Therefore, the final equation in slope-intercept form that follows the information that was provided is y = -1.75x - 11.75

Which number should replace the ç to make the subtraction problem correct?

9.866
- 7.97ç
1.889

Answers

Answer:

7

Step-by-step explanation:

for you to get the missing number just take the complete numbers and minus them then you'll get the incomplete digit needed good day.

Immediate help needed please.
Can you answer and explain please

Answers

The possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a quadratic equation:

(k - 1)x² + (4k)x + k -3 = 0

Here,

a = k - 1

b = 4k

c = k - 3

As we know for distinct real roots:

D > 0

[tex]\rm {b^2-4ac}} > 0[/tex]

(4k)² - 4(k-1)(k-3) > 0

[tex]\rm 16k^2-4\left(k-1\right)\left(k-3\right) > 0[/tex]

[tex]\rm 12k^2+16k-12 > 0[/tex]

[tex]\rm 3k^2+4k-3 > 0[/tex]

[tex]\rm 3\left(k+\dfrac{2}{3}\right)^2-\dfrac{13}{3} > 0[/tex]

[tex]\rm 3\left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{3}[/tex]

[tex]\rm \left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{9}[/tex]

[tex]\rm k < \dfrac{-\sqrt{13}-2}{3}\quad \mathrm{or}\quad \:k > \dfrac{\sqrt{13}-2}{3}[/tex]

or

[tex]\rm k < -1.868 \quad \mathrm{or}\quad \:k > 0.535[/tex]

Thus, the possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

How do I graph y−3=1/2(x+3) on this graph? :c

Answers

From point (0, 9/2) and (-9, 0) we get a straight line.

What is Straight line?

A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.

Here, given equation:

    (y − 3) = 1/2(x + 3)

at x = 0,

    y - 3 = 1/2 (0 + 3)

    y - 3 = 1/2 X 3

     y = 3/2 + 3

    y = 9/2

at y = 0,

   0 - 3 = 1/2 (x + 3)

    -3 = 1/2 (x + 3)

    -6 = x + 3

    x = -6 - 3

   x = -9

Thus, from point (0, 9/2) and (-9, 0) we get a straight line.

Learn more about Straight line from:

https://brainly.com/question/27560536

#SPJ1

3+7=6-|-x|
Solve for x.
Thanks :)

Answers

Answer:

no solution

Step-by-step explanation:

| | is a notation for absolute value, which is the distance that a number is from 0.

you can think of this as the "positive version" of a number

so, |-x| will become: x

We can plug this into the equation, and solve like we would for any variable

3 + 7 = 6 - |-x|  {simplify}

3 + 7 = 6 - x   {simplify}

10 = 6 - x

Now, we can isolate x (isolate = get it alone)

10 = 6 - x

-6     - 6    {subtract 6 from both sides}

 4 = -x         {multiply both sides by -1 to get positive x}

·-1   ·-1

- 4 = x

{check solution:}

3 + 7 = 6 - | -4 |

10 = 6 - 4

10 = 2

FALSE

because this solution has been found to be false, there is no possible value for x

we write this as: no solution

[tex]3+7=6-|-x|\\10=6-|x|\\|x|=-4\\x\in\emptyset[/tex]

Find f(-4) for f(x)=9(3)^x

Answers

Answer:

[tex] f(-4) = \dfrac{1}{9} [/tex]

Step-by-step explanation:

[tex] f(x) = 9(3)^x [/tex]

[tex] f(-4) = 9(3)^{-4} [/tex]

[tex] f(-4) = 3^2 \cdot 3^{-4} [/tex]

[tex] f(-4) = 3^{-2} [/tex]

[tex] f(-4) = \dfrac{1}{9} [/tex]

Answer:

1/9

-------------

2 ft
4.5 ft
6 ft
A) 38 cubic feet
B) 54 cubic feet
C)
66 cubic feet
D) 125 cubic feet
What is the volume?

Answers

Answer:

B

Step-by-step explanation:We know Volume = (a*b*c)

Answer:

B) 54 cubic feet

Step-by-step explanation:

Solve: 4 + 3x = 2(3x-7) +9

A. There are infinitely many solutions

B. x = 3

C. x = -3

D. x = 2/3​

Answers

Answer:

B. x = 3

Step-by-step explanation:

Simplifying

4 + 3x = 2(3x + -7) + 9

Reorder the terms:

4 + 3x = 2(-7 + 3x) + 9

4 + 3x = (-7 * 2 + 3x * 2) + 9

4 + 3x = (-14 + 6x) + 9

Reorder the terms:

4 + 3x = -14 + 9 + 6x

Combine like terms: -14 + 9 = -5

4 + 3x = -5 + 6x

Solving

4 + 3x = -5 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

4 + 3x + -6x = -5 + 6x + -6x

Combine like terms: 3x + -6x = -3x

4 + -3x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0

4 + -3x = -5 + 0

4 + -3x = -5

Add '-4' to each side of the equation.

4 + -4 + -3x = -5 + -4

Combine like terms: 4 + -4 = 0

0 + -3x = -5 + -4

-3x = -5 + -4

Combine like terms: -5 + -4 = -9

-3x = -9

Divide each side by '-3'.

x = 3

Simplifying

x = 3

If f(x)=5x-2 and g(x)=2x1 find (f+g)(x)

Answers

Answer:

D

Step-by-step explanation:

5x-2+2x+1

5x+2x+1-2

7x-1

the probability that Luis will pass his test is 0.82. find the probability that he will fail his statistic test

Answers

The probability of failure for Luis will be 0.18.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability of passing is = 0.82

We know that the maximum probability of happening any event is 1 or 100 per cent if the probability of passing of the person is 0.82 then the probability of failure will be calculated as:-

Probability of failing = 1 - probability of passing

Probability of failing = 1 - 0.82

Probability of failing = 0.18

Therefore the probability of failure for Luis will be 0.18.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

Consider a student loan of $12, 500 at a fixed APR rate of 9% for 25 years.
a. Calculate the monthly payment
b. Determine the total amount paid over the term of the loan
c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.

Answers

The monthly payment is; $104.9; The total amount paid over the term of the loan is; $31470

How to calculate APR?

We are given;

Loan principal = $12,500

Interest rate = 12%

Number of payments per year = 12 payments per year.

Loan term = 25 years.

Formula for monthly payment is;

PMT = (p * APR/n)/[1 - (1 + APR/n)^(-nY)]

Where;

p is principal

APR is interest rate

n is number of payments per year

Y is loan term

Thus;

PMT = (12500 * 0.09/12)/[1 - (1 + 0.09/12)^(-12 * 25)]

PMT = 93.75/(1 - 0.106288)

PMT = $104.9

B) Total amount paid over the loan term is;

A = PMT * m * n

where;

m is number of months in a year,

n is number of years

A = 104.9 * 12 * 25

A = $31470

C) The principal as a percentage of the loan is;

P/A = 12500/31470

P/A = 39.72%

Percentage paid for interest is = 100% - 39.72% = 80.28%

Read more about APR at; https://brainly.com/question/24703884

#SPJ1

please help me i am struggling

Answers

The Equation is represented as  [tex]\rm F = \dfrac{9}{5} (K -273.15 ) +32[/tex]

Option B is the answer.

What is an Equation ?

An equation is am mathematical statement formed when an algebraic expression is equated by an equal sign with another algebraic expression or a constant.

A Equation is given in the question

[tex]\rm K = \dfrac{5}{9}(F -32) +273.15[/tex]

where K denotes temperature in Kelvins and F denotes Fahrenheit .

To convert the equation in terms of K it can be rewritten as follows

[tex]\rm K = \dfrac{5}{9}(F -32) +273.15\\\\K -273.15 = \dfrac{5}{9}(F -32) \\\\\dfrac{9}{5} (K -273.15 ) = F - 32\\\\F = \dfrac{9}{5} (K -273.15 ) +32[/tex]

Therefore Option B is the right answer.

To know more about Equation

https://brainly.com/question/10413253

#SPJ1

please answer me please​

Answers

Step-by-step explanation:

please mark me as brainlest

Answer: (2x + 5)(2x + 5)

Step-by-Step Explanation:

Factorize by Splitting the Middle Term :-

4x^2 + 20x + 25
4x^2 + 10x + 10x + 25
2x(2x + 5) + 5(2x + 5)
(2x + 5)(2x + 5)

This is the Factorized Form.

1.) I can find my Vulome if the vulome of cylinder is multiplied by 4/3 who am i?
2.)The Vulome is 1/3 that of a cylinder that has the same base and height with me. Who am I?

Answers

If the volume of a cylinder is multiplied by 4/3, it would become the volume of a sphere. Thus, you're a sphere.

How to calculate the volume of a cone?

Mathematically, the volume of a cone can be calculated by using this formula:

V = 1/3 × πr²h

Where:

h is the height.r is the radius.

How to calculate the volume of a sphere?

Mathematically, the volume of a sphere can be calculated by using this formula:

V = 4/3 × πr³

Similarly, the volume of a cylinder can be calculated by using this formula:

V = πr²h

In this context, we can infer and logically deduce that if the volume of a cylinder is multiplied by 4/3, it would become the volume of a sphere. Also, multiplying the volume of a cylinder by 1/3 would produce the volume of a sphere.

Read more on volume of a sphere here: https://brainly.com/question/20394302

#SPJ1

A student survey his classmates to determine their favorite movies

Answers

Answer:

The answer is C. Hope it helps

Which statement is true about the end behavior of the
graphed function?
As the x-values go to positive infinity, the function's
values go to negative infinity.
As the x-values go to zero, the function's values go
to positive infinity.
As the x-values go to negative infinity, the function's
values are equal to zero.
As the x-values go to positive infinity, the function's
values go tO positive infinity.

Answers

Answer:

As the x-values go to positive infinity, the function's

values go to negative infinity.

Step-by-step explanation:

upon viewing the graph you will notice that the function in blue will appear to go down (negative) as you follow the x to the right, in the positive direction.

Making your answer to be as the x goes to positive inf (right) the values of the function go to negative inf (down).

Which equation has a constant of proportionality equal to 1/2

Choose 1 answer:

Answers

For equations that model direct variation, they are of the form y = kx, where k is the constant of proportionality.

So, for there to be a constant of proportionality of 1/2, the equation should be y = 1/2 x.

This is the same as y = 3/6 x (since 1/2 = 3/6), so the answer is C.

what is life?bhkbkbkjnmmkjopjlknm nbgvuyihjknm

Answers

Answer:

yessss

Step-by-step explanation:

yessssssss

The condition that distinguishes organism from inorganic objects and dead organisms, being manifested by growth through metabolism, reproduction, and the power of adaptation to the environment through changes originating internally.

Britney sells mattresses at a furniture store. She makes a 9.75% commission on each mattress she sells. Last week, Britney sold four mattresses. The sale price of each mattress is shown in the table.

How much did Britney earn last week?

Enter your answer in the box.

$

Mattress sale Amount
Mattress 1 $2400
Mattress 2 $3200
Mattress 3 $1900
Mattress 4 $800

Answers

Answer:

$809.25

Step-by-step explanation:

→ Find the sum of the sales amount

2400 + 3200 + 1900 + 800 = 8300

→ Find the amount that s commission

( 9.75 × 8300 ) ÷ 100 = $809.25

pls see the attachment

Answers

24 of the 720 numbers have the numbers 1, 2 and 3 in that order

How to determine the number of arrangements?

The digits are given as:

1, 2, 3, 4, 5, and 6

For 1, 2 and 3 to come in that order, then the three numbers must be treated as a digit

So, we have:

(123), 4, 5, and 6

Now, there are 4 digits.

The number of arrangements is then calculated as:

Arrangements = 4!

Expand

Arrangements = 4 * 3 * 2 * 1

Evaluate

Arrangements = 24

Hence, 24 of the 720 numbers have the numbers 1, 2 and 3 in that order

Read more about combination at:

https://brainly.com/question/11732255

#SPJ1

Expand each expression A ( x+1)^2 B(x-3)^2. C ( x+4)^2 D (x-1/2)^2

Answers

The expanded expressions are shown below:

(x + 1)² = x² + 2 · x + 1(x - 3)² = x² - 6 · x + 9(x + 4)² = x² + 8 · x + 16(x - 1/2)² = x² - x + 1/43 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75(1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2

How to expand perfect square trinomials

Perfect square trinomials are polynomials of grade 2 with the form (a + b)² = a² + 2 · a · b + b². In this case, we have to expand six perfect square trinomials:

a) (x + 1)² = x² + 2 · x + 1

b) (x - 3)² = x² - 6 · x + 9

c) (x + 4)² = x² + 8 · x + 16

d) (x - 1/2)² = x² - x + 1/4

e) 3 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75

f) (1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2

To learn more on perfect square trinomials: https://brainly.com/question/385286

#SPJ1

Question 1(Multiple Choice Worth 5 points) (04.02 MC) What are the domain and range of the function f of x is equal to the quantity x squared plus 8x plus 7 end quantity divided by the quantity x plus 1 end quantity? D: {x ∊ ℝ | x ≠ 1}; R: {y ∊ ℝ | y ≠ 0} D: {x ∊ ℝ | x ≠ −1}; R: {y ∊ ℝ | y ≠ −6} D: {x ∊ ℝ | x ≠ −7}; R: {y ∊ ℝ | y ≠ 0} D: {x ∊ ℝ | x ≠ −1}; R: {y ∊ ℝ | y ≠ 6}

Answers

The domain and the range of the function is (d) D: {x ∊ ℝ | x ≠ -1}; R: {y ∊ ℝ | y ≠ 6}

The complete question

What are the domain and range of the function f(x) = x^2 + 8x + 7/x + 1

The domain of the function

We have the function to be

[tex]f(x) = \frac{x^2 + 8x + 7}{x + 1}[/tex]

Set the denominator to 0

x + 1 = 0

Solve for x

x = -1

This means that the domain of the function is the set of all real numbers except -1

Hence, the domain of the function is {x ∊ ℝ | x ≠ -1}

The range of the function

We have the function to be

[tex]f(x) = \frac{x^2 + 8x + 7}{x + 1}[/tex]

Factorize the numerator

[tex]f(x) = \frac{(x + 1)(x + 7)}{x + 1}[/tex]

Simplify

f(x) = x + 7

The function is undefined at x= -1.

So, we have:

f(-1) = -1 + 7

f(-1) = 6

This means that the range of the function is the set of all real numbers except 6

Hence, the range of the function is {y ∊ ℝ | y ≠ 6}

Read more about domain and range at:

https://brainly.com/question/10197594

#SPJ1

Answer:

It is d) D: {x ∊ ℝ | x ≠ -1}; R: {y ∊ ℝ | y ≠ 6}

Step-by-step explanation:

I took the test

Other Questions
What is the name of the region where double-stranded single circular DNA is found in the Prokaryotic cell? Which equation can be used to solve for x in the triangle below? Ohm's law states that the current (I) in amps equals the voltage (E) in volts divided by the resistance (R) in ohms. If you connect a 2 megohm resistor (2 10^6 ohms) across a 2.4 kilovolt voltage source (2.410^3 volts),what would be the current in amps? If Yang solves the inequality -4y> -40, then which of the following answers would be true for this claim? 35/40 reducing fractions Who makes the important economic decisions in a free market economy Did you receive less than 21 weeks of an unemployment insurance benefit payment for weeks between march 15, 2020, and june 26, 2021?. which blu-ray standard defines rewritable disks? a plant grows in soil contaminated with toxins. through which structure would toxins first enter the plant 3 Three children share this chocolate equally.What fraction does each child get?Each child getsCHALLENGE? Using two six-sided number cubes, each labeled with the numbers 1 through 6, event A is defined by rolling a sum greater than 8. Which of the following shows thesample space of event A? What is the solution to the equation below? Round your answer to two decimal places. 3e2x + 12 = 42 The two-way table of column relative frequencies below summarizes survey data on who a person's role model is and their highest level of education.Based on the data, which of the following statements must be true of the people surveyed?A) A person whose role model is a family member is less likely to have an advanced degree than a person whose role model is a friend or acquaintance.B) A person whose role model is a stranger is more likely to have high school than some college as their highest level of education.C) A person whose highest level of education is a bachelor's degree is more likely to have a family member than a stranger as a role model.D) A person whose highest level of education is less than high school is more likely to have a stranger than a friend or acquaintance as a role model. 1. What are the independent and dependent variables in each of the experiments?2. What information should be added to the diagram to give the reader a better understanding of how these experimentswere conducted?3. What items should have been CONTROLLED in the experiments?4. How much confidence would you have in the conclusion of experiment 3 if you found out that the temperature was notcontrolled? Explain your reasoning.5. Create your own flow chart to answer a causal question. Select all of the following that might appear in Narrative Writing and/or Narrative Essays: Use properties to rewrite the given equation. Which equations have the same solution as 2.3p 10.1 = 6.5p 4 0.01p? Select two options. 2.3p 10.1 = 6.4p 4 2.3p 10.1 = 6.49p 4 230p 1010 = 650p 400 p 23p 101 = 65p 40 p 2.3p 14.1 = 6.4p 4 Kara wants to order lunch for her friends. She'll order 4 rice bowls and a $5child's meal for her brother. Kara has $29. How much can she spend on eachrice bowl if they are all the same price?Choose two answers: one for the inequality that models this situation andone for the correct answer. Find the common difference, the 52nd term, and the SIMPLIFIED general term formula.1) 21, 51, 81, 111, .I need this ASAP!!!!! PLEASE IM begging you!!!! During the last ice age glaciers moved across North America altering the landscape which geographic feature can be attributed to the movement of glaciers Find the volume of a cylinder that has a diameter of 7 and a height of 8.28 Pi392 Pi448 Pi98 Pi