help me please i need your help

Help Me Please I Need Your Help

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Answer 1

Answer:

Step-by-step explanation:

I don’t know just think it out. That is the explaination


Related Questions

can you pls solve this i need help

Answers

2 apples is equivalent to 6 bananas.

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here; Scale1 as 20 bananas equal to 4 pineapples

Scale 2 as 2 pineapple equals 4 bananas and 2 apple

Let the weights of pineapple, bananas , apple as x,y,z respectively

Thus 20y=4x

      or x=5y

Again 2x=4y+2z

or      10y=4y+2z

          6y=2z

           z=3y

Thus 2 apples or 2z=6y that is 6 bananas

Hence, 2 apples is equivalent to 6 bananas.

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the number of seconds in a year is seconds. what is a rounded form of this number of seconds in scientific notation?

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The number of seconds in a year in scientific notation is 31,536,000 seconds or [tex]3.154 * 10 ^{7}[/tex]

In one hour [tex]60 \ sec * 60\ min = 3600 \ sec[/tex]

For one day we have to multiply [tex]3600 * 24 = 86400\ sec[/tex]

For one calendar year (365 days) = [tex]86400 * 365 = 31536000 \ sec[/tex]

It Can be written as : [tex]3.154 * 10 ^{7}[/tex]

∴ In a year, there are 31,536,000 seconds.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation.

We must adhere to the following rule in order to calculate the power or exponent of 10:

The base must always be 10.Exponents that are non-zero integers must be either positive or negative in order to be used.The coefficient's absolute value is more than or equal to 1, but it must be less than 10.Positive and negative numbers, including whole and decimal values, can be coefficients.The remaining significant digits of the number are represented by the mantissa.

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The following question may be like this:

Express the number of seconds in a year in scientific notation (1year= 365days)​

The number of seconds in a year is 31,536,000 seconds. Rounded to three significant figures, the number of seconds in a year can be written as 3.15 x 10^7 seconds in scientific notation.

Scientific notation is a way to represent numbers as a decimal multiplied by a power of 10. The decimal part is always between 1 and 10, and the power of 10 gives the number of zeros or decimal places in the original number. For example, the number of seconds in a year can be written as 31,536,000 seconds in scientific notation as 3.1536 x 10^7.

The number of seconds in a year is 31,536,000 (60 seconds x 60 minutes x 24 hours x 365 days).

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Use prime notation to label the vertices of the image.

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The solution is Option B.

The rotation of the line JK around the point P by 180° will be J'K'

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the rotation angle be represented as A

Now , the value of A is 180°

Let the points be represented as J and K

Let the rotated point be represented as J'K'

And , when a point is rotated by and angle 180° , the x and y coordinates of the point will become their additive inverse

For a 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

And , the figure which represents the coordinates of the point J' and K' is when K' is below and J' is above

Hence , the solution is Option B.

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Find the mean, median, mode, and range for each data set given.
a. 7, 12, 1, 7, 6, 5, 11
b. 85, 105, 95, 90, 115
c.15, 11, 11, 16, 16, 9
Which of the data sets from Exercise 2 are skewed?

Answers

Answer:

Answers are in bold

Data set A:

Mean: 7

Median: 7

Mode: 7

Range: 11

Data set B:

Mean: 78

Median: 95

Mode: No mode or all the numbers (85, 105, 95, 90, 115)

Range: 30

Data set C:

Mean: 13

Median: 13

Mode: 11 and 16

Range: 7

Step-by-step explanation:

I just answered this but you're welcome.

Find the length of side a in simplest radical form with a rational denominator.

Answers

The length of side x is √2 units. The solution has been obtained by using the trigonometry formulas.

What is trigonometry?

The study of the sides, angles, and connections of the right-angle triangle is the main goal of the field of mathematics known as "trigonometry." In order to find the unknown or missing angles or sides of a right triangle, one can apply the trigonometric formulas, functions, or identities. Angles can be expressed in radians or degrees in trigonometry. The most frequent trigonometric angles used in calculations are 0, 30, 45, 60, and 90 degrees.

We are given a right-angled triangle with hypotenuse 2units.

We know that sin theta = opposite side/hypotenuse

Also, sin 45° = 1/√2

So,

⇒sin 45° = x/2

⇒1/√2 = x/2

⇒2/√2 = x

√2 = x

Hence, the length of side x is √2 units.

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Does someone mind helping me with this problem? Thank you!

Answers

Answer:

6 and 4

Step-by-step explanation:

the first number is x and the second is y , then triple x is 3x , so

3x + y = 22 → (1)

the second number y is equal to twice x , less 8 , that is 2x - 8 , so

y = 2x - 8 → (2)

solving the 2 equations simultaneously.

substitute y = 2x - 8 into (1)

3x + 2x - 8 = 22

5x - 8 = 22 ( add 8 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

substitute x = 6 into (2) for y

y = 2(6) - 8 = 12 - 8 = 4

first number is 6 and second number is 4

PLS HELP! Asap
I need helppp!

Answers

Answer:

The first option (angle 2 and 5)

Step-by-step explanation:

Vertical angles are angles that are opposite of each other when two lines cross. Vertical angles are congruent, meaning that they have the same angle measure.

In this case, angle 2 and angle 5 are vertical angles. So, the measure of angle 2 is equal to the measure of angle 5. Angle 6 and angle 3 are also vertical angles. So, the measure of angle 6 is equal to the measure of angle 3.


1. The dark triangles are outliers.
When the outliers in the data were omitted, the correlation coefficient (r) changed to 0.86.
Why did omitting the outliers change the correlation between the variables?

2.) how do the outliers affect the data?

Answers

1) Note that the dark triangles are outliers.

2) Omitting the outlines changed the correlation between the variables because outliers can skew the data and make the relationship between the variables appear stronger or weaker than it actually is.

3) Outliers can greatly affect the data by distorting the overall relationship pattern between the variables.

What are Outliers?

An outlier in statistics is a data point that deviates considerably from other observations.

It is correct to state that an outlier can be caused by measurement variability, a hint of new data, or an experimental mistake; the latter is sometimes eliminated from the data set.

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Okay, it says “write each mixed number as an improper fraction” and ignore the letters, for 1,2,3,4,5,6,7 do I just add/subtract the mixed numbers or make the answer as an improper fraction?

Answers

The value of the improper fraction will be:

1. 2 2/3 = 8/3

2. 4 1/2 = 9/2

3. 1 7/10 = 17/10

4. 2 3/8 = 19 / 8

5. 5 5/9 = 50/9

6. 1 7/12 = 19/12

How to calculate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

The improper fraction will be:

1. 2 2/3 = (2 × 3 + 2) / 3 = 8/3

2. 4 1/2 = (4 × 2 + 1) / 2 = 9/2

3. 1 7/10 = (1 × 10 + 7) / 10 = 17/10

4. 2 3/8 = (2 × 8 + 3) / 8 = 19 / 8

5. 5 5/9 = (5 × 9 + 5) / 9 = 50/9

6. 1 7/12 = (1 × 12 + 7) / 12 = 19/12

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A lump of butter has a mass of 250 g and a volume of 290 cm³. Find its density in g/cm³. Give your answer to 3 decimal places.​

Answers

The density in butter has a mass of 250g and volume of 290cm³ is 0.862 g/cm³.

What is meant by density?

Density is a physical property of matter that is defined as the amount of mass per unit of volume. It is measured in units of kilograms per cubic meter (kg/m^3) and is usually represented by the Greek symbol ρ (rho).

Density is a measure of how tightly the particles of a substance are packed together. The denser a substance is, the more mass it contains in a given volume.

Most commonly, density is used to compare different substances, such as solids, liquids, and gases.

In general, solids are more dense than liquids, and liquids are more dense than gases.

The density of a substance can change based on temperature, pressure, and other factors. For example, water has a greater density at 4°C than at any other temperature, and the density of a gas increases with increasing pressure.

Density is an important factor in many physical and chemical processes, including buoyancy, diffusion, and surface tension.

Density is also used in many calculations, such as calculating the volume of a container or the mass of an object.

Density, p = m/v

Where, m is mass of butter and v is volume of butter.

p = 250/290

p = 0.862 g/cm³

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What is the value of m in this proportion? 1/7/3/4=1/6/m Enter your answer as a fraction in simplest form in the box. M =

Answers

A fraction in simplest form M = 3/4

Part A is 1/4 of the whole

Part B is 3/4 of the whole

Assuming there are no other parts,

the Whole = A + B is the denominator:

Whole = 3 + 9 = 12

Part A = 3 and Part B = 9 are numerators for each fraction.

The fractions are then:

3/12 and 9/12

Meaning:

Part A is 3/12 of the whole

Part B is 9/12 of the whole

Reducing the fractions, it is also true that:

Part A = 1/4 of the whole

Part B = 3/4 of the whole

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Solve -11x - 7y = -56 in slope intercept form

Answers

Answer:

the slope of the line is -11/7 and the y-intercept is 8.

Step-by-step explanation:

First, we'll add 11x + 7y to both sides:

-11x - 7y + 11x + 7y = -56 + 11x + 7y

0 = -56 + 11x + 7y

Then, we'll add 56 to both sides:

0 + 56 = -56 + 11x + 7y + 56

56 = 11x + 7y

Finally, we'll divide both sides by 7:

56/7 = (11x + 7y)/7

8 = (11x + 7y)/7

Now we have the equation in slope-intercept form:

y = -(11/7)x + 8

So in this case, the slope of the line is -11/7 and the y-intercept is 8.

Can someone help me with this please? Appreciated!

The formula for the area of a trapezoid is A = 1/2h(b₁ + b₂) where h is its height
and b₁ and b₂ are the lengths of each base

Rewrite the area formula to solve for the height

Answers

Answer:

Area of a trapezoid=1/2(a+b)h where a and b are the bases and h is the height.

Step-by-step explanation:

find the equation of the exponential function represented by the table

Answers

The equation of the exponential function in the table is

f(x) = 0.2(3)ˣ

How to write the equation of the exponential function

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem, as in the table

the starting = is f(0) = 0.2

Solving for the base

f(x) = a(b)^x at x = 1

0.6 = 0.2(b)^1

0.6 = 0.2b

b = 0.6 / 0.2

b = 3

hence the equation is f(x) = 0.2(3)ˣ

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Answer:

I DONT KNOW SORRY

Step-by-step explanation:

I KNOW ALOT OF MATH BUT NOT THIS ONE :|

                                 LIFE IS LIFE

     

                           I GOT MY PONITS I'M HAPPY :) :) :) :) :) :) :) :) :) :) :) :)

Which is a correct solution for the following system of Inequalities

Answers

Answer:

I believe the answer is C... I might be wrong but I hope it helps you!!

Step-by-step explanation:

Answer:

I think the answer is b

-1,2

what is order of the likelihood of the following events, from most to least likely : winning a lottery with 1 million (106) contestants five times in a row (the probability is (1/106)5). most likely. guessing a 64-bit key on the first try. second most likely. guessing a 128-bit key on the first try. third most likely. being hit by lightening this year (the probability is 1/105)

Answers

Winning lottery 5 times most likely, guessing 64-bit key, 128-bit key, hit by lightening.

What is probability ?

Probability is a measure of the likelihood of an event occurring. It is typically expressed as a decimal or fraction between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain.

1) Being hit by lightning this year (probability is 1/105) - The probability is the lowest because the odds of being hit by lightning in a given year are relatively low.

2) Guessing a 128-bit key on the first try - The probability of guessing a 128-bit key on the first try is very low because of the large number of possible key combinations.

3) Guessing a 64-bit key on the first try - The probability of guessing a 64-bit key on the first try is lower than guessing a 128-bit key, but still relatively low because of the large number of possible key combinations.

4) Winning a lottery with 1 million (106) contestants five times in a row (the probability is (1/106)5) - The probability of winning a lottery with such large number of contestants is relatively low, but it is still much higher than the first three events.

So the order is:

1) Being hit by lightning this year

2) Guessing a 128-bit key on the first try

3) Guessing a 64-bit key on the first try

4) Winning a lottery with 1 million contestants five times in a row,

Winning lottery 5 times most likely, guessing 64-bit key, 128-bit key, hit by lightening.

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the density of an object with mass m and volume v is m/v . abigail has a diamond stone that her grandmother gave her. the diamond's mass is 70 grams, and its volume is 20 cubic centimeters. what is the density of the diamond?

Answers

Answer: 3.5

Step-by-step explanation:

70/20=3.5

as the number of rainy days increases, so does the height of all of the tomato plants in liz's garden. there appears to be a(n) correlation between number of rainy days and tomato plant height.

Answers

There appears to be positive correlation between number of rainy days and tomato plant height.

This can be said because a positive correlation is a relationship between two variables that if one moves in a direction the other moves in the same direction. In this situation the rain increases so the tomato plant height increases, therefore there is a positive correlation.

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together.

A correlation reveals the nature and magnitude of a link between two variables. In other words, it illustrates the degree to which measurements of two or more variables are comparable throughout a dataset.

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explain how we can use the eigenvalue decomposition to define the square root of a diagonalizable matrix.

Answers

It appears to be a constant connection that the square matrix has n eigenvalues, where n is the dimensions (not dimensions as in Rank, but as in # of Column values) of the square matrix.

similar to: a 3x3 matrix square, which has 3 Eigenvalues and only permits eigenvalue decomposition in the event that the matrix is diagonasible.

I think it has to do with how mirror-reflective and inverse the dimensional features of the Matrix can be, and how its linear structure is strong enough to support a dimensional cube.

When it comes to interaction, eigenvalue decomposition can be used to systematically eliminate it.

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What is the probability that you pull a card at random from a regular 52 card deck and it is either a 3 or a heart?

Answers

The probability that you pull a card at random from a regular 52 card deck and it is either a 3 or a heart is,

⇒ 17/52

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We know that;

In a regular 52 card deck,

Number of 3 cards = 4

And, Number of heart cards = 14

Hence, The probability that you pull a 3 cards = 4 / 52

And, The probability that you pull a heart = 13/52

                                                               

Thus, The probability that you pull a card at random from a regular 52 card deck and it is either a 3 or a heart is,

⇒ 4/52 + 13/52

⇒ 17/52

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whats 2848x3848 + 575x848 / 48583 x 4848 + 828382

(who just wants to take a break from school and just relax and talk about things?)

Answers

Me. I definitely want to take a break

Calculate the ratio of AB to BC and the ratio of AD to DC. Round your answers to the hundredths place. What do you notice about the ratios?

Answers

The ratio of AB to BC is 4.3 : 5 and the ratio of AD to DC is 2 : 2.3

How to calculate the ratio of AB to BC and the ratio of AD to DC

From the question, we have the following parameters that can be used in our computation:

A = (0, 4)

B = (-5, -3)

C = (5, -3)

D = (2.4, 0.8)

Next, we calculate the distance between the points using

Distance = √[(x2 - x1)² + (y2 - y1)²]

So, we have

AB = √[(0 + 5)² + (4 + 3)²] = 8.6

BC = √[(5 + 5)² + (-3 + 3)²] = 10

AD = √[(0 - 2.4)² + (4 - 0.8)²] = 4

DC = √[(2.4 - 5)² + (0.8 + 3)²] = 4.6

The ratios are then represented as

AB : BC = 8.6 : 10

AD : DC = 4 : 4.6

Simplify the ratios

AB : BC = 4.3 : 5

AD : DC = 2 : 2.3

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Does this table represent a function why or why not?

Answers

The table of values is not a function

How to determine if the table is a function

From the question, we have the following parameters that can be used in our computation:

The table of values

The general rule of functions is that

Each y value must have different x values

In the table of values, the y values 2 and 5 all have the same x value

Hence, it is not a function

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occurs when the effects of two or more explanatory variables are not separated. therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable not accounted for in the study.

Answers

The complete statement would be, confounding  in a study occurs when the effects of two or more explanatory variables are not separated. Therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable or variables not accounted for in the study.

We know that an  extraneous variable is a variable that has the potential to affect the results and it is not a independent variable.

A confounding variable is nothing but a type of extraneous variable which is related to a study’s independent and dependent variables.

These variables (confounding variables) are also known as confounders or confounding factors.

Any variable must follow following conditions to be a confounding variable:

1) A variable must be correlated with the independent variable.

2) It must be related to the dependent variable.

Thus, confounding occurs when the effects of two or more explanatory variables are not separated. therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable not accounted for in the study.

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The complete question is:

__________ in a study occurs when the effects of two or more explanatory variables are not separated. Therefore, any relation that may exist between an explanatory variable and the response variable may be due to some other variable or variables not accounted for in the study.

Given f(x)=x^2 +2x - 6 and the values of the linear function g(x) in the table, what is the range of (f+g)(x)?

Answers

The range of the function will exist on all real numbers. Option D is correct.

what is the Range?

The range gives an idea of how spread out the values in a dataset are and it's a simple measure of dispersion.

The formula for range is:

Range = Maximum value - Minimum value

Given the function  f (x) = x^2 + 2x – 6,

The function of the table will also give a quadratic function of degree two.

The sum of the functions will also lead to a quadratic function and since for all input values of the function, there will be a corresponding output, hence the range of the function will exist on all real numbers.

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How can I know when
to place a zero in the quotient?

Answers

Answer:

See below

Step-by-step explanation:

Your question lacks context, but zero would be in the quotient if the dividend is 0 and the divisor is some natural number (all integers but 0).

true or false: the curve of a distribution has thicker tails than the curve of the standard normal distribution.

Answers

Therefore, the given statement that the t-distribution has more area in the tails than the standard normal distribution

SO ITS TRUE

Answer: true

Step-by-step explanation:

3x - 9 (if x = 6) I need some help on this

Answers

X would be 6 so 36-9=27!

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.
A) 2.3p – 10.1 = 6.4p – 4
B) 2.3p – 10.1 = 6.49p – 4
C) 230p – 1010 = 650p – 400 – p
D) 23p – 101 = 65p – 40 – p
E) 2.3p – 14.1 = 6.4p – 4

Answers

Answer: Multiplying both sides of the original equation by 100 gives the same

the solution as follows;

100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)

230·p - 1010 = 650·p - 400 - p

Step-by-step explanation:

roxanne bought 7 packs of bottled water and 9 boxes of soda. there were 10 bottles of water in each pack and 6 cans of soda in each box. how many drinks did roxanne buy in all? drinks

Answers

The total number of drinks Roxanne buy is 124

Roxanne bought 7 packs of bottled water and 9 boxes of soda. There were 10 bottles of water in each pack and 6 cans of soda in each box.

Roxanne bought 7 pack of bottled water.

1 pack of water bottle contains 10 bottles of water,

Hence 7 pack of water bottle contains. [tex]$7 \times 10=70$[/tex] water bottles

Roxanne bought 9 boxes of soda, 1 box of soda contain 6 cans of soda, then 9 boxes of soda contains. [tex]$x=$[/tex] cans of soda,

Then the total number of drinks Roxanne buy[tex]$=70=1$[/tex]

The total number of bottles calculate by the Multiplication of number of packet of bottles and per packet bottles.

Therefore, the total number of drinks Roxanne buy = 124

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400x(9x10 to the power of 15) three digital clocks a, b, and c run at different rates and do not have simultaneous readings of zero. the figure shows simultaneous readings on pairs of the clocks for four occasions. (at the earliest occasion, for example, b reads 25.0 s and c reads 92.0 s.) if two events are 600 s apart on clock a, how far apart are they on (a) clock b and (b) clock c? (c) when clock a reads 380 s, what does clock b read? (d) when clock c reads 11 s, what does clock b read? (assume negative readings for prezero times.) For the first time, a tech company plans to deploy an AI-powered robot in court as a... A Defense lawyer B Expert witness C Judge D AI-powered robot which of the following statements about centrifugal pumps is most accurate? group of answer choices the centrifugal pump is classified as a positive displacement pump. the centrifugal pump is a secondary pump on most modern fire apparatus. the centrifugal pump moves a definite amount of water with each revolution. nearly all modern fire apparatus feature a centrifugal pump as the main pump. breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 7 s. the maximum rate of air flow into the lungs is about 0.3 l/s. this explains, in part, why the function f(t) please help anyoneeeee Does someone mind helping me with this problem? Thank you! List the sample space for rolling a fair six-sided die. S = {1} S = {6} S = {1, 2, 3, 4, 5, 6} S = {1, 2, 3, 4, 5, 6, 7, 8} to which level of government did the bill of rights originally apply? 20 POINTS!! BRAINLIEST Sitting in the doctors office while hearing all of the beeps and smelling all of the medicinal items makes one consider what it used to be like before all of this technology. A thermometer or a vaccine is commonly used today, but these items were not always available. During the 16th and 17th centuries, both industrial and medical technology made many advancements. However, medical technology made a larger impact in the end. These centuries gave us medical advancements that now help us prolong life, fight disease, and assist with diagnosing patients. An initial reason to applaud early medical technology is due to its ability to prolong life. People might complain about procedures and surgeries now, but compared to what it used to be like, we are much better off now. In the 16th and 17th centuries, scientists were experimenting with ways to prolong life, including performing blood transfusions. Phil Jones writes about this in his article Turbines and Transfusions when he mentions how scientists in France and England transferred blood between two dogs in 1665 and treated a feverish boy by transfusing him with lambs blood. Some of these experiments were successful, but some resulted in fatalities. Later, scientists realized that compatible blood type was important in this procedure. Although some may argue that other technologies from these centuries made a larger impact, such as the success seen from turbines and the vacuum, the medical advancements during this time made a bigger impact because of their life-saving qualities. Although prolonging life is important, fighting disease goes hand-in-hand with it. 1. List the evidence that is used to support the main idea in paragraph 2.2. Write the beginning of the counterclaim in paragraph 2. PLS HELP ITS MY BDAY TOMORROW Jay measured the lengths of 16 fish.Use the graph below to estimate the lowerand upper quartiles of the lengths.Cumulative frequency20-18-16-14-12-10-8-6-4-+ NO2-0-10Lengths of fish10 15 20 25 30 35 40Length (inches) stars rise in the east and set in the west for everyone living in the southern hemisphere. group of answer choices true false your monthly rent payment is an example of a variable expense. T/F madison corporation sells three products (m, n, and o) in the following mix: 3:1:2. unit price and cost data are: m n o unit sales price $ 13 $ 10 $ 12 unit variable costs 9 8 10 total fixed costs are $342,000. the selling price per composite unit for the current sales mix (rounded to the nearest cent) is: the ages of 32 recruits in the police academy are normally distributed with a mean of 27 and a standard deviation of 2.label the normal curve What do you think method is faster classical or instrumental? Function: To break down and process _______ into _______ to help our bodies ______ and ________ solid waste we don't needFinish the sentence. Do you think that Hobbes's idea of man's nature has changed over time? How do you believe people would behave without the rule of a governing body (anarchy)? describe the path followed by water from the soil, through the plant and into the atmosphere. where are the important resistances to water movement in this path? The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 51 ounces and a standard deviation of 10 ounces.