Describe one way that concepts about similarity could be used in real life

Answers

Answer 1
1. Personality in Twins. This is an example of similarity. Suppose a mother gave birth twins a few years ago, so they grow up together and given that they have the same DNA they are similar but not equal. They have similar eyes, noses, lips, ears etc, but their mother can recognize them because even though they are similar they are not the same person. So maybe you want to be a friend of one of them, then you will choose the one you feel more comfortable to talk with. 

2. Cars. Suppose you like a specific type of brand car. Then there are many cars of this brand. You want to buy one of that car, so you decide to go to a concessionaire. One concessionaire has that car and its cost is $2000. Another one has the same car, it is a similar one, same color, same year, but at a price of $1900, so obviously you choose the less expensive.
Answer 2

Answer with explanation:

Uses of Similarity in Real Life:

1. When you will look,at the technology, personal Computers or Laptops produced by the same company,they all appear Similar.

2. When you will look at the bricks,which are used on the walls,on the roads, whether it is in the shape of a cube, Three dimensional Pentagon,or Hexagon,all of them are Similar.

→Similarity is also used for creating Electrical equipment ,Bulbs,Tube light,fans of different kinds.

So, There are Thousand of places on earth in which Concept of Similarity is used by Humans.Just Wrote few of them.


Related Questions

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

Answers

Actually, the point-slope form is
.. y -1 = (1/4)(x -12)
.. 4y -4 = x -12 . . . . multiply by 4
.. x -4y = -4 +12 . . . add 12-4y
.. x -4y = 8 . . . . . . . the equation in standard form

Which system of equations can you
use to find the roots of the equation
2x3 + 4x2 – x + 5 = –3x2 + 4x + 9?

y = 2x3 + x2 + 3x +5
y =9

y = 2x3 + x2
y = 3x + 14

y = 2x3 + 4x2 – x + 5
y = –3x2 + 4x + 9

Answers

The answer is y = 2x3 + 4x2 – x + 5 and  y = –3x2 + 4x + 9
Roots are both: x=-4, x= -1/2 , x= 1

Proof:

Solve for x over the real numbers:
2 x^3 + 4 x^2 - x + 5 = -3 x^2 + 4 x + 9

Subtract -3 x^2 + 4 x + 9 from both sides:
2 x^3 + 7 x^2 - 5 x - 4 = 0

The left hand side factors into a product with three terms:
(x - 1) (x + 4) (2 x + 1) = 0

Split into three equations:
x - 1 = 0 or x + 4 = 0 or 2 x + 1 = 0

Add 1 to both sides:
x = 1 or x + 4 = 0 or 2 x + 1 = 0

Subtract 4 from both sides:
x = 1 or x = -4 or 2 x + 1 = 0

Subtract 1 from both sides:
x = 1 or x = -4 or 2 x = -1

Divide both sides by 2:

Answer:  x = 1 or x = -4 or x = -1/2

Answer:

c the last one

Step-by-step explanation:

A circle has a radius of 12.6 cm.

What is the exact length of an arc formed by a central angle measuring 120°?



Enter your answer in the box. Express your answer using π .

Answers

we know that

[the length of a circumference]=2*pi*r
for r=12.6 cm
[the length of a circumference]=2*pi*(12.6)---------> 25.2*pi cm
this is the length for an arc of 360°  (full circumference)

now calculate the length for an arc of 120° (applying a rule of three)  
if 360°-----------------> 25.2*pi cm
 120°---------------> X
X=120*25.2*pi/360----------> 8.4*pi

the answer is 8.4*pi

What is the wavelength of an earthquake wave if it has a speed of 7 km/s and a frequency of 3 Hz?

Answers

500 meters
wavelength = speed / frequency (5000m/s /10Hz)

Answer: Our wavelength will be 2333.3 m.

Step-by-step explanation:

Since we have given that

Wave speed = 7 km/ s

Frequency = 3 Hz

We need to find the wavelength of an earthquake wave:

As we know that :

[tex]Frequency=\dfrac{Wave\ speed}{wavelength}[/tex]

First we convert km/sec to m/sec.

So, 7 km/sec= 7000 m/sec

so, our wavelength becomes

[tex]\dfrac{Wave\ speed}{frequency}\\\\\\=\dfrac{7000\ m/sec}{3\ Hz}\\\\\\=2333.33\ m[/tex]

So, our wavelength will be 2333.3 m.

Two buildings are 200 feet apart. The height of the taller building is 50 ft. The angle of depression from the top of the taller building to the top of the shorter building is 8°. What equation below will correctly determine the height (h) of the shorter building?

Answers

tan 8 degrees = x / 200
200 times tan 8 = x
28.10816694 = x 
28 feet
x is the "missing" part of the shorter building 
so now you take 50 feet and subtract it by 28 feet and you will have the height of the shorter building

50 - 28 = 22

the shorter building is 22 ft

The radius of a circle is 1 foot. What is the length of a 45 degree arc

Answers

Final answer:

The length of a 45 degree arc on a circle with a radius of 1 foot is π/4 feet.

Explanation:

The length of a 45 degree arc can be calculated using the formula for the circumference of a circle. The formula for the circumference is given by C = 2πr, where r is the radius of the circle. In this case, the radius is given as 1 foot. So, we can plug in the values to calculate the circumference as C = 2π(1) = 2π feet.

To find the length of a 45 degree arc, we need to find the fraction of the circumference that corresponds to a 45 degree angle. Since a full circle is 360 degrees, a 45 degree angle is 45/360 = 1/8 of the circumference. Therefore, the length of a 45 degree arc is 1/8 of the circumference, which is (1/8)(2π) feet.

Simplifying this expression, we get the length of a 45 degree arc as (1/8)(2π) = π/4 feet.

The sum of two numbers is 13, the difference is 4. What are the numbers?
Please Help!

Answers

4.5 and 8.5_ _ _ _ _ _ _ _ _ _

Which certificate is the lowest level certification that a personal finance manager requires to sell mutual funds, trusts, and variable annuities?

Answers

Which certificate is the lowest level certification that a personal finance manager requires to sell mutual funds, trusts, and variable annuities?

The answer is series 6 certificate.

The series 6 certificate helps an individual to purchase or sell mutual funds, variable life insurance, municipal fund securities, variable annuities and unit investment trusts.

Answer:

The answer is option B - series 6 certificate.

Step-by-step explanation:

Nita brings $6 to her grandma's house. these dolls represent 20% of Anita's doll collection shown in the diagram. what is the total number of dolls in Anita's doll collection

Answers

30 dolls. 

You can get this by multiplying the number in 20% by 5, which would get you to 100% and 30. 

Two squares are drawn. The larger Square has area of 400 in.². The area of the two squares have a ratio of 1 to 4. What is the side length S of the smaller square?

Answers

The first thing we must do in this case is to find the area of the smallest square.
 For this, we use the following relationship:
 A1 / A2 = 4/1
 Substituting:
 400 / A2 = 4/1
 From here, we clear A2:
 A2 = (1/4) * (400)
 A2 = 100 in ^ 2
 We now look for the side of the small square, we use the following relationship:
 A = S ^ 2
 We cleared S:
 S = root (A)
 S = root (100)
 S = 10 in
 Answer:
 the side length S of the smaller square is:
 S = 10 in

Answer: S=10 in

Step-by-step explanation:

The first thing we must do in this case is to find the area of the smallest square.

For this, we use the following relationship:

A1 / A2 = 4/1

Substituting:

400 / A2 = 4/1

From here, we clear A2:

A2 = (1/4) * (400)

A2 = 100 in ^ 2

We now look for the side of the small square, we use the following relationship:

A = S ^ 2

We cleared S:

S = root (A)

S = root (100)

S = 10 in

I copied the guy above me 4 points

What is the area of a sector with a central angle of 3π5 radians and a diameter of 21.2 cm? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.

Answers

we know that
Area of a circumference=π*r²
for diameter=21.2 cm---------> r=10.6 cm
A=π*10.6²--------> A=π*112.36 -------> A=352.81 cm²

if 2π radians (full circumference) has an area of -----> 352.81 cm² 
3π/5 radians-------------------------------------> X
X=[(3π/5)*(352.81)]/2π---------> X=105.84 cm²

the answer is 105.84 cm²

What is the slant height of a square pyramid that has a surface area of 279 square meters and a side length of 9 meters?

Answers

Answer:

l = 11 meters

Step-by-step explanation:

Surface area = s² + 2s*l

Where "l" is the slant height

Given: Surface area = 279 ; side length s = 9

Now plug in these values in the above formula, we get

279 = 9^2 + 2*9*l

279 = 81 + 18*l

18l = 279 - 81

18l = 198

Dividing both sides by 18, we get

l = 198/18

l = 11 meters

Therefore, slant height of the square pyramid = 11 meters

Hope this will helpful.

Thank you.

Isaac deposits $1,500 in a savings account that earns 5% per year. How much interest will the money have earned at the end of 4 years? $60 $300 $450 $600

Answers

$300 will be earned at the end of 4 years.
Hope this helps :)

Answer:

The interest earned at the end of 4 years is B) $300.

Step-by-step explanation:

Isaac deposits $1500 in a savings account.

Principle (P) = $1500

Rate of interest (r) = 5% = [tex]\frac{5}{100} = 0.05[/tex]

Time (t) = 4 years

We know that the simple interest formula (i) = P.r.t

Now plug in the given values in the above formula, we get

= 1500 times 0.05 times 4

= 75 times 4

Simple interest = $300

So, the interest earned at the end of 4 years is $300.

Answer is B) $300

If a Play Station was bought for $450 after a 10% discount what was the original price of the Play Station?

Answers

If it was bought after 10% discount, it means it was bought at 90% of the original price:
90% = $450 
1% = $5
100% = $5 x 100
100% = $500

The original price of the Play Station was $500.

If a Play Station was bought for $450 after a 10% discount. Therefore, The original price of the Play Station was $500.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

It is given that If it was bought after a 10% discount, means it was bought at 90% of the original price:

90% = $450

1% = $5

100% = $5 x 100

100% = $500

Therefore, The original price of the Play Station was $500.

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What are the equations of the horizontal asymptotes of y = (4e^x+7)/(e^x-1) in the xy plane?

Answers

In order to find a horizontal asymptote of a function f(x), you need to calculate
[tex] \lim_{x \to \infty} f(x) [/tex] = n
where n is a finite number.

in your case you have to caculate separately the two limits:

a) [tex]\lim_{x \to +\infty} \frac{4 e^{x} + 7 }{ e^{x} - 1 } [/tex] = [tex] \frac{\infty}{\infty} [/tex]

To solve this, you need to regroup eˣ both on the numerator and on the denominator:
[tex]\lim_{x \to +\infty} \frac{4 e^{x} + 7 }{ e^{x} - 1 }[/tex] = [tex]\lim_{x \to +\infty} \frac{4 e^{x} (1 + \frac{7}{ e^{x} } ) }{ e^{x} ( 1 - \frac{1}{ e^{x} } ) }[/tex]

At this point the two eˣ cancel out and the parenthesis tend to 1, therefore
[tex]\lim_{x \to +\infty} \frac{4 e^{x} + 7 }{ e^{x} - 1 }[/tex] = 4
Your first horizontal asymptote is y = 4.

b) Let's calcuate now:

[tex]\lim_{x \to -\infty} \frac{4 e^{x} + 7 }{ e^{x} - 1 }[/tex] = [tex] \lim_{x \to -\infty} \frac{0 + 7}{0 - 1} [/tex] = -7
Therefore your second horizontal asymptote is y = -7

Your answer is, hence, y = 4 and y = -7 are horizontal asymptotes of the given function.


Final answer:

The horizontal asymptotes of the function y = (4e^x+7)/(e^x-1) are y = 4 and y = -7, occurring as x approaches positive and negative infinity respectively.

Explanation:

The equations of the horizontal asymptotes of the given function y = (4e^x+7)/(e^x-1) can be found by analyzing the behavior of the function as x approaches positive or negative infinity. In this function, as x approaches infinity, e^x grows much faster than any constant, so the constants can be considered negligible. Thus, the behavior of the numerator and denominator is dominated by the terms involving e^x. As x tends towards infinity, the function approaches the ratio of the coefficients of e^x, which is 4/1, meaning the horizontal asymptote is y = 4. As x tends towards negative infinity, e^x approaches zero, and the function approaches 7/(-1), so there is also an asymptote at y = -7.

It is given that there is a vertical asymptote at x = -1, where the denominator becomes zero and hence "blows up".

Graph y = sin(x) on the graphing calculator. Use the graph to determine the height of the barnacle with respect to water level as the boat has traveled the given distance. When the boat has traveled 7 meters, the height of the barnacle is approximately:

Answers

Answer:

The height of the barnacle is approximately is, 0.657 meters.

Step-by-step explanation:

Given the graph below of y =sin(x)                  ......[1]

Let y be the height of the barnacle and x be the distance the boat has traveled

Given: The boat has traveled 7 meters

i.e, x = 7 meters

to find the height y :

Substitute the value of x =7 meters in [1] we have;

y = sin(7) ≈0.657.

Therefore, the height of the barnacle is approximately is, 0.657 meters.

you can see also in the graph as shown below:




Answer:

1st is C 2nd is B

Step-by-step explanation:

Which of the following in equalities matches the graph?

A)-2x+3y>7
B)2x-3y<7
C)-3x+2y >7
D)3x+2y<7

Answers

D)3x+2y<7 hope i helpeds

WILL GIVE BRAINIEST!! I need your help!

Answers

First of all, u have to know what (f o g)(x) means. It means that the function f is a function of g where g is a function of x. or in other words (f o g)(x)= f(g(x))
as in Q#24:
(f o g)(x)= f(g(x)) but [tex] f(x)=(x+2)^{2}[/tex] so in case of f(g(x)) means that we have to eliminate each x in the function f(x) and substitute it with the value of g(x) as the following:
[tex] f(g(x))=(g(x)+2)^{2}[/tex] but [tex]g(x)=\sqrt{x}-2[/tex] so we have to substitute with the value of g(x) in the last equation
[tex] f(g(x))= (\sqrt{x}-2+2)^{2}=(\sqrt{x})^{2}=x[/tex]
by the same way (g o f)(x), it means that g is a function of f where f is a function of x. 
so [tex] (g o f)(x)=g(f(x))=\sqrt{f(x)} -2 =\sqrt{(x+2)^2} -2 =x+2-2 =x [/tex]
If you followed the same procedure, u would figure out how to solve the rest urself. 

How do I answer this equation? -3x+y=12. I'm supposed to find the function for it bt I don't know how. Can you guys help me out please

Answers

Typically when being asked for a function, they want it written in slope intercept form. To find that, you need to solve for y.

You can do this by adding 3x to both sides which would result in y = 3x + 12.

Also, math teachers typically want functions expressed in terms of f(x) instead of y. So, you can replace your y with that to get the final answer of f(x) = 3x + 12.

Answer:

[tex]y=3x+12[/tex]

Step-by-step explanation:

We have been given an equation in standard form [tex]-3x+y=12[/tex]. We are asked to write our given equation as a function.

We know that the function represents a relationship between input and output, where each input gives exactly single output.  

To write our given equation as a function we need to convert our given equation into slope-intercept form of equation because in slope-intercept form, there is exactly one y output for each input of x.

[tex]y=mx+b[/tex], where,

m = Slope,

b = The y-intercept.

To convert our given equation into slope-intercept form, we need to get y on left side of our equation.

[tex]-3x+3x+y=3x+12[/tex]

[tex]y=3x+12[/tex]

Now our equation is in form of a function, where each value of x gives exactly one y value.

One gallon of paint covers 200 square feet. How many gallon are needed to paint a rectangular floor that is 60 feet by 40 feet

Answers

Area of floor=(60)(40)=2400 square feet

1 gallon for 200 sq ft

(2400 sq ft)/(200 sq ft) = 12 gallons of paint

What side length would you specify if you were required to create a regular hexagonal plate that was composed of 33 cm2 of sheet metal? Sketch the hexagon, dimension the side length on the sketch to 0.1 cm, and indicate your grid spacing. Justify your dimension.

Answers

The side length to create a regular hexagonal plate is 3.6 cm. Using the GeoGebra graph to create the sketch where 1 unit = 0.1cm.

The side length of a regular hexagon.

The side length of a regular hexagon can be calculated by using the formula:

[tex]Area=\dfrac{3\sqrt{3}}{2}\times S^2[/tex]

where; S = side length

[tex]S=\sqrt{\dfrac{2 \times Area }{3\sqrt{3}}[/tex]

Given that the area is 33 cm²

[tex]S=\sqrt{\dfrac{2 \times 33 }{3\sqrt{3}}[/tex]

Side length (S) = 3. 56 cm

Therefore, the side length to create a regular hexagonal plate is 3.6 cm. See below for the sketch of the hexagon where 1/2 unit = 0.1cm.

In the rhombus, what are m angle 1, m angle 2, and m angle 3? The diagram is not drawn to scale.

Answers

Angle 1 = 128
Angle 2 = 64
Angle 3 = 64

If you'd like an explanation, let me know!
Hope this helps!! :)

Dr. Steve is working with a new radioactive substance in his lab. He currently has 64 grams of the substance and knows that it decays at a rate of 25% every hour.

Identify whether this situation represents exponential growth or decay. Then determine the rate of growth or decay, r, and identify the initial amount, A.

Answers

Remember that the general decay equation is:
[tex]y=A(1-r)^{x}[/tex]
where 
[tex]y[/tex] is the amount after a time [tex]x[/tex]
[tex]A [/tex] is the initial amount 
[tex]r[/tex] is the the decay percent in decimal form

The first ting we are going to do is find [tex]r[/tex] by dividing our decay rate of 25% by 100%: [tex]r= \frac{25}{100} =0.25[/tex].
We also know from our problem that [tex]y=64[/tex]. Lets replace [tex]y[/tex] and [tex]r[/tex] in our formula:
[tex]64=A(1-0.25)^{x} [/tex]
[tex]64=A(0.75)^{x} [/tex]
We know now that our decay rate is 0.75, and since 0.75<1, we can conclude that this situation represents exponential decay.

Now, to find the initial amount, we are going to solve our equation for [tex]A[/tex]:
[tex]64=A(0.75)^{x} [/tex]
[tex]A= \frac{64}{0.75 ^{x} } [/tex]
Notice that [tex]A[/tex] will depend on the number of ours [tex]x[/tex]. 

Answer:

This situation models exponential decay because the substance decays with time.

The radioactive substance decays at the rate of :  25%

 r=25/100 =0.25

The initial amount of substance is 64  grams. So, . A=64

Step-by-step explanation:

In an orchard, there are 15 apple trees,27 orange trees,,and a cherry tree.what is the ratio of orange trees?

Answers

[tex]Ratio_{(\text{orange trees})}= \dfrac{\text{orange trees}}{\text{total trees}} \\ \\ Ratio_{(\text{orange trees})}= \dfrac{27}{15+27+1} \\\\ Ratio_{(\text{orange trees})}=\dfrac{27}{43}[/tex]

Forty percent of the sheets of construction paper are secondary colors. There are 25 sheets of construction paper. How many of those sheets are secondary colors?

Answers

10 of those sheets are secondary colors.

40% = 0.4
0.4(25) = 10

Total Number of sheets of construction paper= 25

The Percent of the sheets of construction paper that are secondary color = 40%

Percent means out of 100.To find number of secondary color sheet we find 40% of 25.

40%=[tex] \frac{40}{100} [/tex]

Number of sheets which are of secondary color=[tex] \frac{40}{100} of 25 =\frac{1000}{100} =10 [/tex]

Number of secondary color sheets =10.


The attendance of your club increased by 30% from last year. There are 195 people in the club now. How many people were in the club last year?

Answers

130% of n is 195 where n is the number of people in the club last year

1.3n = 195
n=195÷1.3
n=150

Answer

increased by 30% from last year. There are 195 people in the club now.

How many people were in the club last year

Step-by-step explanation:

1.3n = 195

n=195÷1.3

n=150 people where in the club last year.

Please help me please

Answers

[tex]3^{ \frac{11}{5} }:3^{ -\frac{9}{5} }=3^{ \frac{11}{5} -(-\frac{9}{5}) }=3^{\frac{20}{5} }=3^{ 4}=81[/tex]

the answer is 81

Isabela had a taxable income of $82350 and filed her federal income tax return with the single filing status. Using the table below find the amount she has to pay in taxes.

Answers

B. $16,778.00.  Isabella falls in the 82,250 - 171,550 tax bracket. She must pay 16,750.00 plus 28% of the value over 82,250. which is 100 dollars. 100*0.28 or 28 dollars is added to the 16,750.00 tax

Answer:

B. $16,778.00.

Step-by-step explanation:

What is the mean absolute deviation for the data set?

{20, 24, 12, 44, 68}

16.81

17.04

17.52

17.92

Answers

Answer:

17.92

Step-by-step explanation:

I took the test and had the same question, plus the screenshot above

The Mean Absolute Deviation is 17.92.

What is Mean Absolute Deviation?

The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data set. A measure of variance in a data set is the mean absolute deviation.

Take the absolute value of each digit in the data set, then deduct the mean. Next, add up the absolute values. The mean absolute deviation is then calculated by dividing the aforementioned sum by the total number of values in the data set.

Given:

Data set: {20, 24, 12, 44, 68}

Mean of the data = (20+ 24+ 12+ 44+ 68)/ 5 = 168/5

                             = 33.6

Mean Absolute Deviation

= {| 20- 33.6| + |24- 33.6| + |12-33.6| + | 44-33.6| + |68-33.36|} / 5

= (13.6+ 9.6 + 21.6+ 10.4 + 34.4 )/ 5

= 89.6/ 5

= 17.92

Hence, the Mean Absolute Deviation is 17.92.

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Please, could anyone help????
please explain it and how to it.......

BRAINLIEST WILL BE GIVEN TO CORRECT


Answers

to find the x intercept you plug in 0 for y then solve for x and to find the y intercept you plug in 0 for x and solve for y in the end you should get x =7/3 and y=-3 if you did the math correctly 
3rd one is the correct answer
Other Questions
If you ever swam in a pool and your eyes began to sting and turn red, you felt the effects of an incorrect pH level. pH measures the concentration of hydronium ions and can be modeled by the function p(t) = log10t. The variable t represents the amount of hydronium ions; p(t) gives the resulting pH level.Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.Create a graph of the pH function either by hand or using technology. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph.The pool maintenance man forgot to bring his logarithmic charts, and he needs to raise the amount of hydronium ions, t, in the pool to 0.50. To do this, he can use the graph you created. Use your graph to find the pH level if the amount of hydronium ions is raised to 0.50. Then, convert the logarithmic function into an exponential function using y for the pH.The pool company developed new chemicals that transform the pH scale. Using the pH function p(t) = log10t as the parent function, explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Use complete sentences and show all translations on your graph.p(t) + 1p(t + 1)1 p(t) In a simple mendelian monohybrid cross, tall plants are crossed with short plants, and the f1 plants are allowed to self-pollinate. what fraction of the f2 generation are both tall and heterozygous [a] 100% [b] 75% [c] 50% [d] 25% [e] none of the above Choose the statement the best represents the use of this seventh century Syrian vessel in the appropriate cultural context 3. Which sentence uses the vocabulary word correctly? A. Brainstorming and gathering information are two steps in the writing process. B. He jotted down his course of action and then went to work on the first process interviewing witnesses. Plz Reply Quick! cul es la actitud de los autores respecto a las transnacionales? Is 8 lbs greater than less than or equal to 80 oz 7.African American male holding a protest sign that reads, The presence of segregation is the absence of democracy Jim Crow must go.' 2012 The Associated PressThe protestor in this image is against the effects of the ruling in (3 points)D.C. v. HellerPlessy v. FergusonMarbury v. MadisonBrown v. Board of Education meg is calculating the amount of water that a cylinder will hold is that surface area or volume??? PLZ ANSWER QUICKLY!!!!!!!!!!!! I WILL GIVE 15 POINTSIn which two ways did the people in the regions that Rome conquered contribute to the Roman Republic?a) They paid special taxes for practicing their own religions.b) They became citizens of the Roman Republic.c) They adopted the religion and culture of the Romans.d) They sent soldiers to fight for the Romans during wars.e) They sent their representatives to advise the Roman consuls. 35x+19320x7 simplified is Which line from the text provides evidence that the author is comparing and contrasting the ideas of Plato and Aristotle? ???Many of the framers at Philadelphia had studied and understood Plato???s and Aristotle???s political philosophies.??? ???A few years after losing the war with Sparta, Athens put the 70-year-old Socrates on trial for not accepting the gods of Athens.??? ???The Constitution further limits the powers of the government by listing its powers: The government may not exercise any power beyond those listed.??? ???Like Plato, Aristotle, wrote extensively on the subjects of tyranny and the rule of law.??? Which type of air mass typically brings cool, wet weather? Employers in every profession look for core qualities in people that will help them be good, successful workers. The phone at Marys house has been ringing for three minutes nonstop, but she ignores it. She has watched a news item on the TV that has made her freeze with panic. Three days before, four men entered a jewelry store carrying mallets and guns and ordered the people inside to get on the ground. Among the people in the store was Sergeant Bruce Prothero, a police officer and father of five who had a second job working as a security guard at the mall. The men grabbed almost $500,000 worth of jewelry and sprinted out; Sergeant Prothero dashed after them. In the mall parking lot, the men shot him three times from the car. Sergeant Prothero died as the men sped away. Which of the following statements is not a cause or result of the soviet invasion of Czechoslovakia? A-Dubcek was expelled from the KSC and demotedB-The reforms of the Prague spring occurred in 1968C-freedom of speech remained after the invasionD-the manifesto called the two thousands words was published Economic complications in the United States after World War I included A.low employment rates because of returning soldiers B.low family incomes because women could no longer work C.overproduction of consumer goods D.underproduction of consumer goods The population of current statistics students has ages with mean mu and standard deviation sigma. samples of statistics students are randomly selected so that there are exactly 48 students in each sample. for each sample, the mean age is computed. what does the central limit theorem tell us about the distribution of those mean ages? The Treaty of _____ provided some representation in New Zealand government for the Maori. The no child left behind act of 2001 resulted in public schools: Simplify the imaginary number square root of -12