The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.

A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.34, 0.66, 1.0. The third column is labeled not taking a foreign language with entries 0.64, 0.36, 1.0. The fourth column is labeled total with entries 0.4, 0.6, 1.0.

Table B: Frequency of Foreign-Language Studies by Row

A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.68, 0.88, 0.8. The third column is labeled not taking a foreign language with entries 0.32, 0.12, 0.2. The fourth column is labeled total with entries 1.0, 1.0, 1.0.

Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

Table A, because the given condition is that the student is in high school.
Table A, because the given condition is that the student is taking a foreign language.
Table B, because the given condition is that the student is in high school.
Table B, because the given condition is that the student is taking a foreign language.

Answers

Answer 1

Option fourth ''Table B, because the given condition is that the student is taking a foreign language" is correct.

What is a conditional relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell by the total frequency.

We have two tables given in the question.

The conditional relative frequency tables show the results of a survey asking students whether they are taking a foreign language or not.

The condition is: "Assuming a student is taking a foreign language"

Table B can be used to answer the above statement.

Thus, option fourth ''Table B, because the given condition is that the student is taking a foreign language" is correct.

Learn more about the conditional relative frequency here:

brainly.com/question/8358304

#SPJ1

Answer 2

Answer:

Option b: Table A, because the given condition is that the student is taking a foreign language.

Step-by-step explanation:

on ed


Related Questions

1) Which situations are BEST modeled by an exponential function?
es
A) The yearly depreciation of a car.
B) An investment compounded annually.
C) The cost of screws sold by the pound.
D) The amount of sugar to make a pound of fudge.
E) The annual growth rate of a city's population.

Answers

A function assigns the values. The correct options are A, B, and E.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The situations that can be best modelled by exponential functions are:

A) The yearly depreciation of a car.

B) An investment compounded annually.

E) The annual growth rate of a city's population.

Hence, the correct options are A, B, and E.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

smone answer ASAP please.

Answers

The measure of the angle x is 117 degrees

Line geometry.

To determine the value of x in the given diagram, we will use the alternate angles theorem

The value of x is expressed as shown;

p + q= x

If the value of p = 51, then;

51 + q. = x

Determine the value of. q

q = 108 - 42

q = 66

Determine the value of x

x = 66 + 51

x = 117 degrees

Hence the measure of the angle x is 117 degrees

Learn more on angles here: https://brainly.com/question/25716982

#SPJ1

Does the table of values below represent a proportional relationship?

x
2
3
4
5
y
10
15
24
25

Answers

Answer:

No

Step-by-step explanation:

The constant of proportionality is k = y/x. In this case, k is 5. When you multiply k which is 5 with the x value you should get the y value. You will see that 2 X 5  = 10, 3 X 5 = 15, and 5 X 5  = 25 but 4X 5 is not equal to 24. This means the ordered pair (4, 24) does not lie on the straight line that is formed where all the other ordered pairs (2,10), (3,15), and (5,25) lie.

For a proportional relationship in a table, the k is constant for all the ordered pair x and y values. All the ordered pairs in the table should also lie on the same straight line.

So the answer is no.

write a function rule for the table

hours worked 2,4,6,8 and pay 15,30,45,60

Answers

Answer:

f(x) = 7.5x

Step-by-step explanation:

you can find the slope by using the slope formula (y2-y1)/(x2-x1). you can use any of the values but for this example I'll be using (2, 15) and (4, 30).

(30-15)/(4-2) = 15/2 = 7.5.

now we can use one of the coordinates to find the y-intercept by plugging the known values in the equation y=mx+b where m is the slope and b is the y-intercept.

for this example I'll be using (2, 15) but you could use any of the values you gave.

15 = 7.5(2) + b

15 = 15 + b

0 = b

so now we have the function rule

f(x) = 7.5x + 0 or just f(x) = 7.5x

{
5x−y=19
13x−3y=51

Can anybody help me to understand this equation ASAP

Answers

Answer:

×=-3

y=-4

Step-by-step explanation:

13×-3y=51

(-) 5×-y=19

-5×+y=-19

13×-3y=51

8×-2y=32

2/8x-2y=32

4x-y=16

4×-y=16

-5×+y=-19

-×=-3

×=3

Answer:

x = 3
y = -4
(3,-4)

Step-by-step explanation:

Hello!

We can use the Elimination Method to solve the system.

To eliminate, we want atleast one variable to have the same coefficients on both equations. To do that, we can multiply the first equation by 3 to get -3y.

[tex]5x - y = 19[/tex][tex]3(5x - y = 19)[/tex][tex]15x - 3y = 57[/tex]

Now, we can vertically subtract them to eliminate -3y.

[tex]-\left \{ {{15x - 3y = 57} \atop {13x - 3y = 51}} \right.[/tex][tex]2x + 0 = 6[/tex]

Solve for x

[tex]2x + 0 = 6[/tex][tex]2x = 6[/tex][tex]x = 3[/tex]

The value of x is 3.

To solve for y, we can plug in 3 into the original first equation and solve for y.

Solve for y

[tex]5x - y = 19[/tex][tex]5(3) - y = 19[/tex][tex]15 - y = 19[/tex][tex]-y = 4[/tex][tex]y = -4[/tex]

The value of y is -4.

The solution to the system is (3,-4).

A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel).

Find P(S-name U Boy)

Answers

The probability of selecting a person with a name that starts with S or a boy is [tex]\frac{5}{8}[/tex]

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Given that, a club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel)

To find P(S-name U Boy), that is the probability of selecting a person whose name starts with S or boy.

n(S-name U Boy) = 5   {2 girls (Sarah, Suzie), 3 boys( Kevin, Steve and Samuel )}

Number of favourable outcomes=5

Total number of outcomes=5+3=8

P(S-name U Boy) [tex]=\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

[tex]=\frac{5}{8}[/tex]

Therefore, the probability of selecting a person with a name that starts with S or a boy is [tex]\frac{5}{8}[/tex].

To learn more about probability visit:

https://brainly.com/question/11234923.

#SPJ1

share 518 in ratio 2:5
please answer fast with the steps

Answers

Answer:

148:370

Step-by-step explanation:

2+5=7 parts

518÷7=74

1 part =74

2×74=148

5×74=370

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

Answers

Answer:

[tex]x=1[/tex] ± [tex]i\sqrt{19}[/tex]

Step-by-step explanation:

First off let's state the quadratic formula

Quadratic formula

[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

For this question our quadratic equation is

[tex]x^2+20=2x[/tex]

Now before we can apply the quadratic formula we first have to set the equation equal to zero. We do this my moving everything to one side and setting it equal to zero.

In this case, we simply move the 2x to the other side making it negative and setting the equation equal to zero.

[tex]x^2-2x+20=0[/tex]

From here we plug in the values to the quadratic equation.

Now incase you don't know

[tex]a =[/tex] Coefficient of [tex]x^2[/tex] value

[tex]b=[/tex] Coefficient of [tex]x[/tex] value

[tex]c=[/tex] The Constant

Now plug in values

[tex]a=1[/tex]

[tex]b=-2[/tex]

[tex]c=20[/tex]

To get the values of x using the quadratic formula we have the plug in the values, we also have to both subtract and add the [tex]\sqrt{b^2-4ac}[/tex] to [tex]-b[/tex]

Plug in values into formula

[tex]\frac{2+\sqrt{(-2)^2-4(1)(20)} }{2(1)}[/tex]

[tex]\frac{2+\sqrt{-76} }{2}[/tex]

[tex]\frac{2+\sqrt{-1} *\sqrt{76} }{2}[/tex]

[tex]\frac{2+i *\sqrt{76} }{2}[/tex]

[tex]\frac{2+i *\sqrt{4(19)} }{2}[/tex]

[tex]\frac{2+i *\sqrt{2^2(19)} }{2}[/tex]

[tex]\frac{2+2i \sqrt{19} }{2}[/tex]

[tex]x=1+i\sqrt{19}[/tex]

Now repeat the steps except subtract from -b rather than add to it.

Final Answer

[tex]x=1[/tex] ± [tex]i\sqrt{19}[/tex]

BTW

± = plus and minus

Please help me i would really appreciate it, I really dont want to fail the assignment!!!

Answers

The ordered pair of the solution for the system of equation area are (2, -3) and (3, -3)

How to solve system of equation?

f(x) = x² - 5x + 3

f(x) = -3

Therefore,

-3  = x² - 5x + 3

x² - 5x + 3 + 3 = 0

x² - 5x + 6 = 0

x² - 2x - 3x + 6 = 0

x(x - 2) - 3(x - 2) = 0

(x - 3)(x - 2) = 0

x = 3 or 2

when x = 2

f(x) = 4 - 10 + 3 = -3

when x = 3

f(x) = 9 - 15 + 3 = -3

Therefore, the ordered pair of the solution for the system of equation are (2, -3) and (3, -3)

learn more on equation here; brainly.com/question/14063625

#SPJ1

HELP ME PLEASE AND JUST GIVE ME THE ANSWER NO EXPLANATION

Answers

The missing end of the line segment [tex]\overline {GH}[/tex] whose midpoint is M(x, y) = (5, 3) and known endpoint is G(x, y) = (1, -5) is the point H(x, y) = (9, 11).

How to locate the missing end of a line segment

In this question we know an end and a midpoint of a line segment. The missing end can be found from the following formula:

M(x, y) = G(x, y) + 0.5 · [H(x, y) - G(x, y)]

M(x, y) = 0.5 · G(x, y) + 0.5 · H(x, y)

0.5 · H(x, y) = M(x, y) - 0.5 · G(x, y)

H(x, y) = 2 · M(x, y) - G(x, y)     (1)

If we know that M(x, y) = (5, 3) and G(x, y) = (1, -5), then the coordinates of the point H are:

H(x, y) = 2 · (5, 3) - (1, -5)

H(x, y) = (10, 6) - (1, -5)

H(x, y) = (9, 11)

The missing end of the line segment [tex]\overline {GH}[/tex] whose midpoint is M(x, y) = (5, 3) and known endpoint is G(x, y) = (1, -5) is the point H(x, y) = (9, 11).

To learn more on line segments: https://brainly.com/question/25727583

#SPJ1

Answer:

its A

Step-by-step explanation:

Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.

Answers

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

ABD and DBC are complementary angles 43 what is the measure of x

Answers

The value of x is 60

How to determine the value of x?

The complete question is added as an image

From the image, we have:

ABD = 30

DBC = x

The sum of complementary angles is 90.

So, we have:

30 + x = 90

Subtract 30 from both sides

x = 60

Hence, the value of x is 60

Read more about complementary angles at:

https://brainly.com/question/16281260

#SPJ1

Which expressions are equivalent to the one below? Check all that apply.log(10^7)

Answers

The value of expression is 7.

What is expression?

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

[tex]log 10^{7}[/tex]

Now, using property of log

[tex]log b^{a} =[/tex] a log b

So,

[tex]log 10^{7}[/tex]= 7 log 10

As log 10 = 1

[tex]log 10^{7}[/tex]= 7 (1)

[tex]log 10^{7}[/tex]= 7

Learn more expression here:

https://brainly.com/question/14083225

#SPJ1

Why [tex]\lim _{x\to -3}\left(x^2-2x+4\right)[/tex] is 19 and not 1??? I don't understand how lim x to -3 (x^2) become 9 and not -9???

PLEASEEEEEEEEEEEEE

Answers

The quadratic is continuous over its entire domain, which is to say we can evaluate the limit by direct substitution:

[tex]\displaystyle \lim_{x\to-3} (x^2 - 2x + 4) = (-3)^2 - 2(-3) + 4 = 9 + 6 + 4 = \boxed{19}[/tex]

You are mistaking (-3)² for -3². They are not the same number.

(-3)² = (-1 × 3)² = (-1)² × 3² = 1 × 9 = 9

-3² = -1 × 3² = -1 × 9 = -9

the answer to this question

Answers

Answer:

positive 1!

Step-by-step explanation:

i got it right on the test trust me!

Which of the following is the missing justification?
picture is provided

Answers

Answer: Choice C

Subtraction property of equality

====================================================

Explanation:

Let's say we started with the equation a = b

Subtract c from both sides to get a-c = b-c

This is the subtraction property of equality

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

Example:

x+5 = 12

x+5-5 = 12-5 ... using the subtraction property of equality

x+0 = 7

x = 7

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

For this current problem, we're subtracting 3 from both sides in the second step.

A very closely related property is the addition property of equality where we add the same thing to both sides.

Technically we could add -3 to both sides to get the same task done in the second step. But the subtraction property is more direct and straight-forward in my opinion.

I need some help with this an explanation would be nice as well thanks

Answers

Answer:

Step-by-step explanation:

Please give answer
It’s for a school work

Answers

Answer:

x=60

Step-by-step explanation:

x+2x=3x

180/3=60(interior angles add up to 180)

Elaine saw statistics showing that union employees make an average of 30 percent more than nonunion workers, so when she was looking for a new job, she looked for one at a company that was unionized. Elaine was motivated by

Answers

Elaine saw statistics showing that union employees make an average of 30 percent more than nonunion workers, so when she was looking for a new job, she looked for one at a company that was unionized. Elaine was motivated by Economic needs.

What do we mean by economic needs?

By economic need Elaine is trying to get a company that would pay her more. Hence the need to go for the Unionized company.

This is given that the Unionized company is said to earn more than the other company. Hence her motivation is due to her economic needs.

Read more on economic needs here:

https://brainly.com/question/17889008

#SPJ1

12a-10b+6
Term:
Coefficient:

Answers

Terms : “a” and “b”
Coefficients: 12, -10, and 6
Hope this helps :)

The question is in the photo! Please help

Answers

the answer is the second one because in order to create a perpendicular line, the slope of the new equation has to be the opposite reciprocal of the previous slope. An opposite is simply switching signs (Ex: 5 become -5), and a reciprocal is simply switching the numerator and denominator. (Ex: 2 becomes 1/2). so the opposite reciprocal would be switching the sign then flipping the numerator and denominator.
the y intercept does not matter with linear equations
the answer is the second one.

find [-4/5]×3/7×15/16×[-14/9]​

Answers

The given expression is [tex]\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times (\frac{-14}{9})[/tex].

We need to simplify the given expression.

What is a rational number?

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Now group the rational numbers [tex](\frac{-4}{5}\times \frac{15}{16} ) \times (\frac{3}{7}\times (\frac{-14}{9}))[/tex]

[tex]=(\frac{-4}{16}\times \frac{15}{5} ) \times (\frac{3}{9}\times (\frac{-14}{7}))[/tex]

[tex]=(\frac{-1}{4}\times \frac{3}{1} ) \times (\frac{1}{3}\times (\frac{-2}{1}))[/tex]

[tex]=(\frac{-3}{4} ) \times (\frac{-2}{3})=\frac{1}{2}[/tex]

Therefore, the simplified value of the given expression is [tex]\frac{1}{2}[/tex].

To learn more about the rational numbers visit:

https://brainly.com/question/17450097.

#SPJ1

What is the equation for the graph shown below?

Answers

Answer: D

Explanation:

Since we don't know the y-value of the vertex, let's do this an easy way: plugging in.

Let's use the y intercept since that would be the easiest. Since x=0, the terms with x cancel, and you will get a leading result of -5

A) results in 2, so eliminate it

B) results in -2, so eliminate it

C) results in 5, so eliminate it

D) results in -5, so keep it

Since D was the only one that worked, that is our correct answer.

This question is based on the box plot below: How is the data distributed?

Answers

The distribution is right skewed.

What is the data distribution?

A box plot is graph that is used to display data. The box plot is made up of two whiskers that are on either sides of a box. The first line on the box is the first quartile, the second line is the median and the third line is the third quartile.

When the median is closer to the bottom of the box, and if the whisker is shorter on the lower end of the box, the data is right skewed.

To learn more about box plots, please check: https://brainly.com/question/27215146

#SPJ1

help me now !!!!!!!!!!!!!!!!

Answers

In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

In the first diagram:

The sum of the 5k + 20 and 7k + 40 is 180

5k + 20 + 7k + 40 = 180

12k + 60 = 180

12k = 180 -60

12k = 120

k = 10

In the second diagram:

The sum of the two interior angles is equal to the exterior angle.

40 + 12k + 10 = 8k + 80

4k = 30

k = 30/4 = 15/2

Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

The value of x must be greater than
0
1
3
7

Answers

Answer:

The value of x should be greater than 3.

Step-by-step explanation:

Given that,

The AB is 12 units.

The AC is 15 units.

We need to find the value of BC.

Based on the above information, the calculation is as follows:

As we know that

The sum of two sides length is always more than the 3rd one.

Based on this,

12 + 15 > x

x < 27

15 + x >12

x >-3

12 + x > 15

x >3

add the following rational number7/-27 and 11/18

Answers

Answer:

19/54

Step-by-step explanation:

- 7/27 + 11/18

LCM of the 27, 18 is 54

- 7/27 * (2/2) + 11/18 * (3/3)

- 14/54 + 33/54

33 - 14/54

19/54

please mark me brainlist

a and b are positive integers and 7a+5b=49. Find the values of a and b.

a and b are positive integers and 23a+17b=320. Find the values of a and b.

please hel you can get 30 points

Answers

Solving a system of equations, it is found that the value of a is of -191.75 and the value of b is of 278.25.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

7a + 5b = 49.23a + 17b = 320.

Multiplying the first equations by 17 and the second by -5, we have that the system is:

119a + 85b = 833.-115a - 85b = -1600.

Then, adding them:

4a = -767

a = -767/4

a = -191.75

Then:

[tex]b = \frac{49 - 7a}{5} = \frac{49 - 7(-191.75)}{5} = 278.25[/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Item 18
What is the volume of the prism?



Enter your answer, as a mixed number in simplest form, in the box.


cm³


The figure contains a right rectangular prism. The length of the prism is labeled 6 and one half centimeters, the width is labeled 2 and one half centimeters, and the height is labeled 2 and one half centimeters.

Answers

A mixed number in simplest form, in the box is 40  5/8 cm^3.

We have given that,

The figure contains a right rectangular prism. The length of the prism is labeled 6 and one-half centimeters, the width is labeled 2 and one-half centimeters, and the height is labeled 2 and one-half centimeters.

What is the volume of the prism?

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length = 6 .5cm

width  =  2.5cm

height  =  2.5cm

If you plug everything you have in the problem into the volume equation, you would get

volume = 6.5cm x 2.5cm x 2.5 cm.

Without a calculator first, turn the mixed numbers into improper fractions.

6 .5=13/2

2.5 = 5/2

Volume = 13/2  x 5/2   x 5/2

When you multiply everything together you should get.

As a mixed number, that would be 40 5/8.

To learn more about the prism visit:

https://brainly.com/question/23963432

#SPJ1

2.2.5a (Part 1): For the graph below, what is the x-intercept? *
-4 -2
2
-2
-4
y
2
4
0 points
X

Answers

An x-intercept is the point where the line of a graph passes through the x-axis. Thus, you should look for this point on the given graph.

What is a graph?

A graph can be defined as a type of chart that is used for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate i.e x-axis and y-axis.

In Mathematics, x-intercept refers to the point where the line of a graph passes through the x-axis as shown in the image attached below. Since the graph wasn't provided for this question, you should look for the point where the line passes or crosses through the x-axis.

Read more on x-intercept here: https://brainly.com/question/354683

#SPJ1

Other Questions
The system of equations y = one-fourth x minus 1 and y = negative one-half x minus one-fourth is shown on the graph below.On a coordinate plane, 2 lines intersect at (1, negative three-fourths). A satellite circles the Earth in an orbit whose radius is twice the Earths radius. The Earths mass is 5.98 x 1024 kg, and its radius is 6.38 x 106 m. What is the period of the satellite? Which structures are involved in creating insulin inside pancreatic cells and to liver cells What do you think were the biggest challenges facing newly independent countries? Would it have been possible for leaders to prevent these problems before they happened? Why or why not? someone please help Taylor works in the psychology department's rat lab. In her studies, she found that many of her lab rats would develop a conditioned taste aversion to certain foods after as little as one trial. Taylor's psychology professor refers to this as a classic example of __________. Which statement best describes how dramatic irony isused in this passage?The reader knows that the human neighbors plan todestroy Animal Farm.The reader knows that Mr. Pilkington is praising aflawed and brutal system.The reader knows that the information Mr. Pilkingtonshares about the farm is incorrect.The readers know that the conditions at Animal Farmare not what Mr. Pilkington had expected. How does specialization influence economic activity?It leads businesses to outsource production.It leads to an increase in the price of goods.It forces businesses to deal with higher labor costs.It increases efficiency because workers are focusing on a single task. 3x + 4 divided by 2 = 9.5 Which event took place during the Copernican revolution, when most people started to believe in a heliocentric model of the solar system?Aristotle developed his model of the solar system.Copernicus rediscovered Aristarchuss heliocentric model.Kepler's laws of planetary motion.Newtons theories of gravity were dismissed and considered invalid. Identify the type of subordinate clause in the following and determine if it is a noun, adverb or adjective. The sauce burned before Hans remembered to stir it. Experiment 1: Cell size and rate of diffusionFor this lab, you will make three "cuboidal cells" with the dimensions below:1 cmcm2 cm.Prediction:2 cm2 cmDom3cm3cmYou will place each of the three cells in a solution that will be called cell media. This media contains thenutrients the cell needs to survive. The media must reach all portions of the cell interior in order for propercell function.Question: In a ten-minute time period, which cell will allow for maximum diffusion of the media to allportions of the cell? (Please, don't answer this question; it will be answered using data from theexperiment simulation. Remember we are following the scientific method.)1. Based on the question above, formulate a hypothesis and prediction for this experiment: (4 pts)Hypothesis:What would the hypothesis and prediction be of this experiment In what three Central American countries was the Maya civilization most present? Explain the effects that alcoholism has on school perform Age of father is 13 times the age of his son , it will be only five times after four years find the present age of the father how do you simplify (12st3+34s3t+t21) For what values of x does 25 - 5-3?O x = -3, x = 1O x = -1, x = 330 X=-2/X-2Ox3O x= -2, x=-2/ Given 4 c 5 not-equals 0 and c is a real number, what is the multiplicative inverse of 4 c 5 not-equals 0 0 1 startfraction 1 over 4 c 5 end fraction startfraction 1 over 4 c endfraction 5 But when cities or countries are accustomed to live under a prince, and his family is exterminated, they, being on the one hand accustomed to obey and on the other hand not having the old prince, cannot agree in making one from amongst themselves, and they do not know how to govern themselves. For this reason they are very slow to take up arms, and a prince can gain them to himself and secure them much more easilyWhat features of the passage identify it as using a cause-and-effect structure? Select three options.The first sentence lists specific conditions followed by what might eventually happen.The first sentence uses the expressions on the one hand and on the other hand.The second sentence starts with the expression for this reason.The second sentence lists potential consequences of the situation described.The second sentence describes the citizens of the conquered city. The volume of a cylinder with a height of 4 feet is 144n cubic feet what is the radius of the base of the cylinder V=nr2h HELP DUE TODAY WORTH 87 POINTS