Cindy and victor are playing a math game. The winner must get three in a row of the same type of real numbers and justify how do numbers are alike. Cindy said that Cindy and Victor are playing a math game. The winner must get three in a row of the same type of real numbers and justify how the numbers are alike. Cindy said she won because she was able to get three rational numbers on a diagonal. Victor said he won with three positive numbers in a column. Can both players say they won, for different reasons? Explain

Answers

Answer 1

Please see attachment for question

Answer:

Yes both players can say they won. Cindy and Victor won

Step-by-step explanation:

Both players can say they won because they both kept to the rules of the game. Cindy got rational real numbers on a diagonal while Victor got positive numbers on a column which are real numbers too. Pi on the last row on his column for the diagram on the right(see attachment) is 22/7 or 3.14159... is an irrational real number but is still a positive real number.

Cindy And Victor Are Playing A Math Game. The Winner Must Get Three In A Row Of The Same Type Of Real

Related Questions

1: The best statement for reason 6 of this proof is -∠A ≅ ∠C
-∠B ≅ ∠D
-∠B and ∠D are supplements
-∠B ≅ ∠B

2.The best reason for statements 3.5. and 7 in this proof is
- Alternate interior angles are congruent.
-Corresponding angles are congruent.
-Alternate exterior angles are congruent.
-Interior angles on the same sides of a transversal are supplements.

3. The best statement for reason 8 of this proof is
-∠B ≅ ∠B -∠A and ∠C are supplements.
-∠B ≅ ∠D
-∠A ≅ ∠C

Answers

Answer:

1) -∠B ≅ ∠D

2) -Interior angles on the same side of a transversal are supplementary

3) -∠A ≅ ∠C

Step-by-step explanation:

1) Given that ∠A and ∠B are supplements and ∠A and ∠D are supplements, we have; ∠B ≅ ∠D

2)  Given that ABCD is a parallelogram, therefore ∠A and ∠B,  ∠A and ∠D and ∠B and ∠C  are interior angles on the same side of a transversal and are therefore supplementary

3) Given that ∠A and ∠B and ∠B and ∠C are supplementary, therefore, ∠A ≅ ∠C.

Please help asap. I will give a thanks, rate your answer and mark the brainliest one too!

The formula v^2 - u^2 = 2as is used to model a moving object, where: u= starting speed (m/s) v = final speed (m/s) a = acceleration (m/s²) s = distance travelled (m) A car stops at some traffic lights. It then accelerates at 2.3 m/s² until it reaches a speed of 13.6 m/s. Find the distance, s, that it has travelled since stopping at the lights. Give your answer correct to 1 decimal place.

Answers

Answer:

s = 40.2 m

Step-by-step explanation:

It is given that,

Initial speed of the car, u = 0 m/s

Final speed of the car, v = 13.6 m/s

Acceleration of the car, a = 2.3 m/s²

We need to find the distance, s, that it has travelled since stopping at the lights. For this, we will use third equation of motion as :

[tex]v^2-u^2=2as[/tex]

s is distance

[tex]s=\dfrac{v^2-u^2}{2a}\\\\s=\dfrac{(13.6)^2-0}{2\times 2.3}\\\\s=40.2\ m[/tex]

So, the distance covered by the car is 40.2 meters.

Select all of the numbers that are correctly written in scientific notation. 10.8\times10^{-3}10.8×10 −3 0.54\times10^60.54×10 6 1\times10^{-4}1×10 −4 7.6\times10^{2.5}7.6×10 2.5 9.8\times10^59.8×10 5

Answers

Answer:

1×10⁻⁴ and 9.8×10⁵

Step-by-step explanation:

The standard form of writing a scientific notation is expressed as [tex]a.b*10^n[/tex] where a, b and n are integers. Note that a, b and n cannot be a fraction. When writing in scientific notation, the value of 'a' must not be equal to zero and it must not be a 'two digits values' but just 'a digit value'.

Based on the above conclusion, the following numbers are correctly written in scientific notation.

1×10⁻⁴ and 9.8×10⁵

- The expression 10.8×10 −3 is not correctly written because the value of a on comparison is a two digits number i.e 10.

- Also, 0.54×10^6 is not correctly written because a is zero on comparison

- 7.6×10 2.5 is not correctly written because the power is a decimal number i.e 2.5. We must only have an integer as the degree.

Bella is wrapping a cube-shaped gift box that measures 8.5 inches along each edge. How many square inches of wrapping paper is needed to cover the box completely without overlapping? A. 34 in.2 B. 72.25 in.2 C. 433.5 in.2 D. 614.125 in.2

Answers

Answer:

433.5 in²

Step-by-step explanation:

A cube has 6 sides

Area of 1 side = 8.5 x 8.5 = 72.25 in²

Area of 6 sides = 72.25 x 6 = 433.5 in²

Answer: c-433.5

Step-by-step explanation: A cube has 6 sides

Area of 1 side = 8.5 x 8.5 = 72.25 in²

Area of 6 sides = 72.25 x 6 = 433.5 in²

Answer: 433.5 in²

a piece of paper is 5.5 x 10^-4 inches thick. If jennifer has 35 such pieces,how thick is the whole stack? Write your answer in standard form.

Answers

Answer:

T = 0.01925 m

Step-by-step explanation:

It is given that,

Thickness of a piece of a paper is [tex]5.5\times 10^{-4}\ m[/tex]

Total number of pieces are 35

We need to find the thickness of the whole stack. It is simply a case of unitary method.

For 35 pieces, thickness is :

[tex]T=35\times 5.5\times 10^{-4}\\\\T=0.01925\ m[/tex]

So, the thickness of the whole stack is 0.01925 metres.

I WILL GIVE BRAINLEST PLEASE HELP
Which of the following is an example of the difference of two​ squares?
A x2−9
B x3−9
C (x+9)2
D (x−9)2
I know the answer is either A or B i might be wrong tho pls help im not sure.

Answers

Answer:

A

Step-by-step explanation:

In this question, we are concerned with selecting which of the options best represents the difference of two squares.

Let’s have an exposition below as follows;

Consider two numbers, which are perfect squares and can be expressed as a square of their square roots;

a^2 and b^2

where a and b represents the square roots of the numbers respectively.

Inserting a difference between the two, we have;

a^2 - b^2

Now by applying the difference of two squares, these numbers will become;

a^2 - b^2 = (a + b)(a-b)

So our answer out of the options will be that option that could be expressed as above.

The correct answer to this is option A

Kindly note that;

x^2 -9 can be expressed as x^2 - 3^2 and consequently, this can be written as;

(x-3)(x + 3)

An apartment complex has several 9-story buildings, and every apartment in the complex has a unique number. On the first floor of one of the buildings, you see four apartments numbered 109, 110, 111, and 112. In which building and on which floor is apartment 207?

Answers

Answer:

The apartment with the number 207 is in the second floor of the building that comes before the building with apartments numbered 109, 110, 111, and 112

Step-by-step explanation:

The given information of the naming of the apartments are;

The four apartments on the first floor of the building were numbered, 109, 110, 111, and 112

Therefore;

The first digit number, 1, which is consistent, represent the floor number (first floor)

The buildings in the complex are 9-story buildings, with 9 × 4 = 36 Apartments each

Therefore, for the numbers of the apartment to be from 9 to 12, on the floor, the numbering of the apartments is sideways such that the numbers of the apartment in the given building will be X09, X10, X11, and X12, where X is the floor number

The previous building apartment will be numbered X05, X06, X07, X08

Therefore, the apartment with the number 207 is in the second floor of the previous building to the one given.

Answer:

Apartment 207 is in 7th floor of the building number 6 .

Step-by-step explanation:

Given:

There are 9 floors in the building

The number of building and floor of apartment 207 .

Each floor in the building has four apartments

The number of apartment in a building = 4 * 9 = 36

Numbers on each floors are 01 to 36 after floor number

first floor of one of the buildings, we have four apartments numbered 109, 110, 111, and 112.

From the numbers, 1 is representing the floor number

9 , 10 , 11 & 12 are representing four apartments number

Recall,

Each floor has 4 apartments

207 = 36 * 5 + 4 * 6 + 3

36 * 5 = 5 buildings

4 * 6 = 6 floor of 6th building

180+24=204

205 - 208 =6th building 7th floor

Apartment 207 is in 7th floor of the building number 6 .

Need help pls will give you a good rating.

Answers

Answer:

x+4

.....................

Answer

[tex] \boxed{x + 4}[/tex]

Option C is the correct option

Step by step explanation

Let's find the expression which represents the length of the box:

[tex] \mathsf{length \times width \times height \: of \: prism \: = \: volume \: of \: prism}[/tex]

[tex] \mathsf{lengh \times \: (x - 1) \times (x + 8) = {x}^{3} + 11 {x}^{2} + 20x - 32}[/tex]

[tex] \mathsf{length = \frac{ {x}^{3} + 11 {x}^{2} + 20x - 32 }{(x - 1)(x + 8)} }[/tex]

Write 11x² as a sum

[tex] \mathsf{ = \frac{ {x}^{3} - {x}^{2} + 12 {x}^{2} + 20x - 32 }{(x - 1)(x + 8)} }[/tex]

Write 20x as a sum

[tex] \mathsf{ = \frac{ {x}^{3} - {x}^{2} + 12 {x}^{2} - 12x + 32x - 32 }{(x - 1)(x + 8)}}[/tex]

Factor out x² from the expression

[tex] \mathsf{ = \frac{ {x}^{2}(x - 1) + 12 {x}^{2} - 12x + 32x - 32 }{(x - 1)(x + 8)} }[/tex]

Factor out 12 from the expression

[tex] \mathsf{ = \frac{ {x}^{2}(x - 1) + 12x(x - 1) + 32x - 32 }{(x - 1)(x + 8)} }[/tex]

Factor out 32 from the expression

[tex] \mathsf{ = \frac{ {x}^{2}(x - 1) + 12x(x - 1) + 32(x - 1) }{(x - 1)(x + 8)} }[/tex]

Factor out x+1 from the expression

[tex] \mathsf{ = \frac{(x - 1)( {x}^{2} + 12x + 32) }{(x - 1)(x + 8)} } [/tex]

Factor out 12x as a sum

[tex] \mathsf{ = \frac{(x - 1)( {x}^{2} + 8x + 4x + 32) }{(x - 1)(x + 8)} }[/tex]

Reduce the fraction with x-1

[tex] \mathsf{ = \frac{ {x}^{2} + 8x + 4x + 32 }{(x + 8)} }[/tex]

Factor out x from the expression

[tex] \mathsf{ = \frac{x(x + 8) + 4x + 32}{(x + 8)} }[/tex]

Factor out 4 from the expression

[tex] \mathsf{ = \frac{x(x + 8) + 4(x + 8)}{x + 8} }[/tex]

Factor out x+8 from the expression

[tex] \mathsf{ = \frac{(x + 8)(x + 4)}{x + 8} } [/tex]

Reduce the fraction with x+8

[tex] \mathsf{ = x + 4}[/tex]

hence, x+4 is the expression that represents the length of a box.

Hope I helped!

Best regards!

Someone pls help thank you sm ..

Answers

Answer:

15 lawns

Step-by-step explanation:

The Xbox costs $400 and his parents gave him $100. He needs to earn $300 more. $20 each lawn so $100 for 5 lawns. 5 lawns times three.

Xbox cost =400

Daniel's money =100

Xbox cost - Daniel money=300

yard cost =20

therefore 400 -100 /20

Daniel's need 15 yards to get the xbox

Mark currently works part time with a salary of $8000 per year mark plans to quit working and attend college for four years if his college cost will total $64,000 how long will it take Mark to recover his investment assuming he has a salary of $32,000 upon graduating

Answers

The correct answer for this question is: If his college costs will total $64,000, it take Mark to recover his investment assuming he has a salary of $32,000 upon graduating for "2 years."

= 64,000 / 32, 000

= 2 years

Assuming that there'll be no additional costs in the middle of his college.

If you found this please brainliest it :)

Answer:

it is not 2 years

Step-by-step explanation:

Kameryn flips a coin, rolls a 6-sided die, and then spins an 8-section
spinner. How many possible outcomes are there?

Answers

Answer:

96 possible outcomes

Step-by-step explanation:

2 x 6 x 8 = 96

Help me figure this out, I don’t understand

Answers

Answer:

0,3

1,1

-1,1

-2.55, -10

2.55, -10

Step-by-step explanation:

It's asking for you to graph it and figure out points from the equation.

What you can do is subsitute values for X and solve for Y or use a graphing calculator. I used desmos, an online calculator and looked for coordinates. Also the +3 is the y intercept, which means y is 3 when x is 0.

What collateral secures a mortgage?
O A.
5% of the purchase price of the house
B.
the house itself
C.
10% of the purchase price of the house
D.
none​

Answers

I believe the answer is B, the house itself.

Answer:

The House

Step-by-step explanation:

Find the product of 0.3×0.23

Answers

Answer:

0.069

Step-by-step explanation:

0.3*0.23=0.069

Which of the following is a point-slope equation of a line that passes through the points (-1,4) and (8,2)

Answers

Answer:

y - 2 = -2/9( x - 8)

Step-by-step explanation:

hope this helps

let me know if u need more help

Answer:

y - 2 = -2/9(x - 8) or y - 4 = -2/9(x + 1)

Step-by-step explanation:

find slope first

(2 - 4)/(8 - -1) = -2/9

y - 2 = -2/9(x - 8)

55.5% repeating as a decimal ​

Answers

Answer:

55.5 ÷ 100 = 0.555

Step-by-step explanation:

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

Answer:

55.5% = 0.555

Step-by-step explanation:

55.5% = 55.5/100 = 0.555

In the expression 3x2 + y -5, which of the following terms does not have a variable?
A.3x2
B. y
A
C. -5
D. None of these choices are correct.

Answers

Answer:

A, C

Step-by-step explanation:

Only B is containing a variable .

The  -5 is not variable.

We have given that,

A.3x2

B. y

A

C. -5

In the expression 3x^2 + y -5

We have to determine which of the following terms does not have a variable.

What is the variable?

variable, In algebra, a symbol stands in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

Only C contains a variable.

The  -5 is not variable.

To learn more about the variable visit:

https://brainly.com/question/2804470

#SPJ2

i need help :( please answer

Answers

Answer:

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

Step-by-step explanation:

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

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

[tex] = - \frac{1}{81} [/tex]

I hope it helps

Which term describes a time period marked by a change that begins a new period of development? century decade era millennium

Answers

Answer:

Era

Step-by-step explanation:

Century, Decade and Millennium have something in common and that which they have in common is that they are all measurement of time.

The keyword measurement implies that they are units of time just like seconds, minutes, hours, etc.

Century -> 100 years

Decade -> 10 years

Millennium -> 1000 years

However, era is used to describe events in history;

Take for instance; the era of the first generation of computer;

So, from the list of given options; Era best answers the question

An era describes a time period marked by a change that begins a new period.

An era :

begins with a significant eventgoes on for a period of time before it is replaced by another era. has distinct events from those of another era

Examples of eras include:

the Roaring Twenties the Progressive era The Cold War era The Age of Enlightenment

All the eras mentioned above were distinct in how people behaved so in conclusion we can say that an era is a time period that begins a new period of development.

Find out more at https://brainly.com/question/20315058.

How many times larger is the value of
86,000,000 than 8,600?

Answers

Answer:

a 1000 times// just divide them

Answer:

10,000 times Larger

Step-by-step explanation:

To determine the multiple larger for 86,000,000 than 8,600, we simply will use the division operation and the result will be the multiple.

86,000,000 / 8,600 = 10,000

Hence, the number 86,000,000, is 10,000 times larger than 8,600.

Another method is simply to look at the additional zeroes that 86,000,000 has in comparison to 8,600.  Since we can see that 86 is the only non-zero digit within the two numbers, we can use the properties of the decimal system to compare.  Note that 86,000,000 has 6 zeroes, while 8,600 has two zeros.  This means that we will need 4 zeroes as part of our tens multiple, so we can say that 10,000 is the multiple.  Once again, we see that 86,000,000 is 10,000 times larger than 8,600.

Cheers.

A jar contains only red, white and blue marbles. The number of red marbles is 4/5 the number of white ones, and the number of white ones is 3/4 the number of blue ones. If there are 470 marbles in all, how any of them are blue?
•120
•200
•150
•184


Answers

Answer:

200

Step-by-step explanation:

i multiplied the answer choices by the fractions and 200 was the one that checked out

A bank is offering 5.5% simple interest on a savings account. If you deposit $15000, how much interest will you earn in six year?

What is this question asking for?

What Kinda Interest?

Answers

Answer:

a. $4,950

b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate

c. Simple interest

Step-by-step explanation:

a. We want to calculate the amount of interest to be earned in six years

To calculate this, we use the formula for simple interest.

Mathematically;

Simple interest I = PRT/100

Where P is the principal which is the amount deposited = $15,000

R is the rate which is 5.5%

T is the time which is 6 years

Substituting these values in the simple interest formula, we have

I = (15,000 * 5.5 * 6)/100 = $4,950

b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate

c. Simple interest

question : 4(3x + 2) -6 x 6

Answers

Answer:

x= 24

Step-by-step explanation:

open the bracket

4×3x =12x + 4 × 2 =8

12×+ 8-6×6

12×+ 12

x= 24

Answer:

12x - 28

Step-by-step explanation:

Because of PEMDAS you start with the parentheses and distribute the 4.

So,

(12x + 8) -6 x 6

Then, solve for the 6's

(12x + 8) -36

Remove the parentheses

12x + 8 - 36

Lastly, you get

12x - 28.

This is as far as you can go because there is no equals sign so you cannot actually solve for x.

please please answer this question now
با )​

Answers

Answer:

43/90

Step-by-step explanation:

We want to express 0.47777... as a ratio of two integers. To do so, we need to multiply by 10^n, where n is the number of repeating decimals. Only 7 is repeating so we multiply 0.47777... by 10. The trick to do this is to let x=0.47777... In other words, what we are doing is the following:

[tex]x=0.47777...\\10x=4.7777....\\\text{Subtract x}\\10x-x=4.7777...-x\\9x=4.7777...-0.4777...\\9x=4.3\\x=4.3/9=43/90=0.4\overline{7}[/tex]

The standard normal curve shown below models the population distribution of a random variable. What proportion of the values in the population does not lie between the two z-scores indicated on the diagram? z = -1.2 z = 0.85

Answers

Answer:

31.28%

Step-by-step explanation:

The z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. If the raw score is above the mean then the z score is positive while if the raw score is below the mean then the z score is negative. It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Given the z score z = -1.2 z = 0.85. From the normally distribution table, the probability that a value falls between z = -1.2  and z = 0.85 = P(z < 0.85) - P(z < -1.2) = 0.8023 - 0.1151 = 0.6872

The proportion of values that do not fall between z = -1.2 and z = 0.85 = 1 - 0.6872 = 0.3128 = 31.28%

Find the sum of 29,the product of 2 and 9 and the difference between 2 and 9

Answers

Step-by-step explanation:

Sum means adding of numbers

Product means multiplying the numbers

Difference means minus two numbers

First number is 2 and other number is 9.

Sum of 2 and 9 = 2+9 = 11

Product of 2 and 9 = 2×9 = 18

Difference between 2 and 9 = 9-2 = 7

Hence, this is the required solution.

What is the slope of side AC?

Answers

Answer:

The slope is  ( d-b)/ ( c-a)

Step-by-step explanation:

To find the slope we can use the slope formula

m = ( y2-y1_/(x2-x1)

  = ( d-b)/ ( c-a)

Solve the following non-linear system of equations algebraically.
y = - 2x² - 4x + 5 and
y = 2x^2 + 4x + 5

Answers

Answer:

x = -2

Step-by-step explanation:

since y is common in both equations, you can equate them to be equal

-2x² - 4x + 5 = 2x² + 4x + 5

4x² + 8x = 0

factor out 4x

4x(x + 2) = 0

divide both sides by 4x

x + 2 = 0

x = -2

Question. 7 Let abc be a three-digit number. Then, abc + bca + cab is not divisible by (a) a + b + c (b) 3 (c) 37 (d) 9

Answers

Answer:

D. 9

Step-by-step explanation:

Let

abc=100a+10b+c

bca=100b+10c+a

cab=100c+10a+b

abc + bca + cab=(100a+10b+c) + (100b+10c+a) + (100c+10a+b)

=100a + 10b + c + 100b + 10c + a + 100c + 10a + b

Collect like terms

=100a + a + 10a + 10b + 100b + b + c + 10c + 100c

=111a + 111b + 111 c

Factorise

=111(a+b+c)

abc + bca + cab = 111(a+b+c)

Factors of 111(a+b+c)= 1, 3, 37, 111, and (a+b+c)

abc + bca + cab is divisible by a+b+c because it is a factor of 111(a+b+c)

abc + bca + cab is divisible by 3 because 3 is a factor of 111(a+b+c)

abc + bca + cab is divisible by 37 because 37 is a factor of 111(a+b+c)

abc + bca + cab is not divisible by 9 because 9 is not a factor of 111(a+b+c)

HELPP NEEDED ASAP PLEASE.
There are 20n members in the Trumpington marching band, and when they line up in rows of 26, there are 4 band members left over. If n is an integer and there are fewer than 1000 band members, what is the maximum number of people that could be in the Trumpington marching band?

Answers

Answer:

The maximum number of people that can be in the Trumpington marching band is 940 people

Step-by-step explanation:

The number of members = 20·n

The number per row = 26

The number left = 4

Therefore, we have;

If there are x rows of 26, we have;

26 × x = 20·n - 4

We have;

26 × x < 996

26 × x < 20·n

20·n < 996 therefore, 20·n ≤ 980

We check that 980/26 = 37  and some fractions

26 × 37 = 962 which will leave a remainder of 2

Therefore, we note that for 26 to have a remainder of 4, the last digit of the factor x must be 6 so has to get the last digit of the product 26 × x to be 6 while the digit of the product 20×n  is 0 which will live 4 members out to get to the next 10 as follows;

26 × 36 = 936 while 20 × 47 = 940

We get 940 - 936 = 4 members

Therefore, the maximum number of people that can be in the Trumpington marching band = 940.

Other Questions
The century cactus flowers every 100 years. A similar and nearby cactus flowers every 50 years. If the 50-year-cactus pollen has the correct characteristics to fertilize the century cactus, which reproductive barrier will most likely be working against that possibility Two math classes took the same quiz. The scores of 10 randomly selected students from each class are listed below. Sample of Class A: 75, 80, 60, 90, 85, 80, 70, 90, 70, 65 Sample of Class B: 95, 90, 85, 90, 100, 75, 90, 85, 90, 85 Based on the medians of the scores for each class, what inference would you make about the quiz scores of all the students in Class A compared to all the students in Class B? Explain your reasoning to justify your answer. Which statements best describe the Battle of Stalingrad? Check all that apply. please help!!!! Use the graph to complete the statement. O is the origin. Ryaxis Ry=x: (-1,2) A. (1, -2) B. (-1, -2) C. (2, -1) D. (-2, -1) help i want help i want help Find b.Round to the nearest tenth: 1. Determine whether one is eligible for citizenship.2. Submit an application form.3. Pass an FBI background check.4. Complete an interview5. Receive a decision about one's application6.?Which step in the naturalization process is missing?O A. Prove that one meets a minimum income requirementO B. Serve two years in the American military.O C. Serve on a jury at least once.O D. Take an oath of loyalty to the United States. Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2ab-6a+5b+___ A study was conducted to explore the effects of ethanol on sleep time. Fifteen rats were randomized to one of three treatments. Treatment 1 got only water (control). Treatment 2 got 1g of ethanol per kg of body weight, and treatment 3 got 2g/kg. The amount of REM sleep in a 24hr period was recorded, in minutes. Data are below:Treatment 1: 63, 54, 69, 50, 72Treatment 2: 45, 60, 40, 56Treatment 3: 31, 40, 45, 25, 23, 28Required:a. Calculate 90% confidence intervals for all pairwise comparisons of treatment means using the uncorrected method. Create a letter code table to summarize your results, then interpret the results in context.b. Now calculate 90% confidence intervals for all pairwise comparisons using the Bonferroni correction. Create a letter code table, and interpret your results in context. Do any of the results differ from part (a)? Which of these statements most accurately describes currencies in North America Read the sentence. Crafts once fulfilled useful purposes, now crafts are used mainly for decoration. Which revision most effectively corrects the comma splice? Is it safe to eat an impossible whopper during constipation? Can somebody help me with parametric equations? I do not have a TI-84 at the moment! Thanks!1. Graph the following set of parametric equations on your calculator and select the matching graph. 2. Transform the given parametric equations into rectangular form. Then identify the conic. Which statements about iambic pentameter are true? Check all that apply.An iamb consists of an unstressed syllable followed by a stressed syllable.A line of iambic pentameter contains five iambs, or ten syllables.A line of iambic pentameter contains four iambs, or eight syllables.Iambic pentameter does not follow a regular pattern of stressed and unstressed syllables.Shakespeare uses iambic pentameter in his sonnets. solve the following system of equations1/2x+1/4y=-2-2/3x+1/2y=6x=y= please help! algebra 2 work a. What were HCA's liabilities-to-assets ratios and times-interest-earned ratios in the years 2005 through 2009?b. What percentage decline in EBIT could HCA have suffered each year between 2005 and 2009 before the company would have been unable to make interest payments out of operating earnings, where operating earnings is defined as EBIT?c. How volatile have HCA's cash flows been over the period 2005 - 2009?d. Calculate HCA's return on invested capital (ROIC) in the years 2005 - 2009.HCA INC ANNUAL INCOME STATEMENT ($ MILLIONS, EXCEPT PER SHARE) Dec09 Dec08 Dec07 Dec06 Dec05 Sales $ 30,052 $ 28,374 $ 26,858 $ 25,477 $ 24,455 Cost of Goods Sold 24,826 24,023 22,480 21,448 20,391 Gross Profit 5,226 4,351 4,378 4,029 4,064 Depreciation 1,425 1,416 1,426 1,391 1,374 Operating Profit 3,801 2,935 2,952 2,638 2,690 Interest Expense 1,987 2,021 2,215 955 655 Non-Operating Income/Expense 188 256 661 179 412 Pretax Income 2,002 1,170 1,398 1,862 2,327 Total Income Taxes 627 268 316 625 725 Minority Interest 321 229 208 201 178 Net Income $ 1,054 $ 673 $ 874 $ 1,036 $ 1,424 ANNUAL BALANCE SHEET ASSETS Dec09 Dec08 Dec07 Dec06 Dec05 Cash & Equivalents $ 312 $ 465 $ 393 $ 634 $ 336 Net Receivables 3,692 3,780 3,895 3,705 3,332 Inventories 802 737 710 669 616 Other Current Assets 1,771 1,319 1,207 1,070 931 Total Current Assets 6,577 6,301 6,205 6,078 5,215 Gross Plant, Property & Equipment 24,669 23,714 22,579 21,907 20,818 Accumulated Depreciation 13,242 12,185 11,137 10,238 9,439 Net Plant, Property & Equipment 11,427 11,529 11,442 11,669 11,379 Investments at Equity 853 842 688 679 627 Other Investments 1,166 1,422 1,669 1,886 2,134 Intangibles 2,577 2,580 2,629 2,601 2,626 Deferred Charges 418 458 539 614 85 Other Assets 1,113 1,148 853 148 159 TOTAL ASSETS 24,131 24,280 24,025 23,675 22,225 LIABILITIES Long Term Debt Due In One Year 846 404 308 293 586 Accounts Payable 1,460 1,370 1,370 1,415 1,484 Taxes Payable - 224 190 - - Accrued Expenses 2,007 1,912 1,981 1,868 1,825 Total Current Liabilities 4,313 3,910 3,849 3,576 3,895 Long Term Debt 24,824 26,585 27,000 28,115 9,889 Deferred Taxes - - - 390 830 Minority Interest 1,008 995 938 907 828 Other Liabilities 2,825 2,890 2,612 1,936 1,920 TOTAL LIABILITIES 32,970 34,380 34,399 34,924 17,362 Preferred Stock 147 155 164 125 - Common Stock 1 1 1 1 4 Capital Surplus 226 165 112 - - Retained Earnings (9,213) (10,421) (10,651) (11,375) 4,859 Common Equity (8,986) (10,255) (10,538) (11,374) 4,863 TOTAL EQUITY (8,839) (10,100) (10,374) (11,249) 4,863 TOTAL LIABILITIES & EQUITY $ 24,131 $ 24,280 $ 24,025 $ 23,675 $ 22,225 _is a molecule that directs all of a cells activities Why is this excerpt a good example of a feature often found in a myth? Eye color is an example of 1. Transcriptional control 2. gene expression 3. translational control 4. gene regulation