Is the square root of eight a rational or irrational number

Answers

Answer 1
[tex]\bf \sqrt{8}\implies \sqrt{2\cdot 2\cdot 2}\implies \sqrt{2^2\cdot 2}\implies 2\sqrt{2}[/tex]

it just so happen that √2 is an irrational number, so any product with it as a factor, will yield an irrational number as well.



factoid:   Ancient Greeks were scared of irrational numbers, and they steered clear from √2.

Related Questions

Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle A?



Enter your answer in the box.


°

Answers

The answer to this is 65. 

Remember that the angles opposite of each other equal to 180. So a+c=180 and b+d=180. 

First, we solve for x. Since we know that b and d equal to 180, we subtract 148 from 180. 
180-148=32. x=32. 

Then we plug that in the expression for angle a. 
2x+1 becomes 2(32)+1
2*32=64
64+1=65.
a=65

What is the maximum number of distinct lines that can be drawn through 10 distinct points if no 3 of the points are collinear?

Answers

10 objects chosen 2 at a time can be chosen
.. 10*9/(2*1) = 45 ways

45 distinct lines can be drawn

Carly has 5 times as many markers as camden.Toegether they have 30 markers.How many markers does Carly have? How many markers does Camden have

Answers

Carly has 5 and Camden has 6

5x6=30

Answer:

number of markers Camden has = [tex]5[/tex]

number of markers Carly has = [tex] 25[/tex]

Step-by-step explanation:

Let the number of markers Camden has = x

now it is given that Carly has 5 times as many markers as Camden has

Number of markers Carly has = 5 ( number of markers Camden has )

                                                   = [tex]5x[/tex]

now the total number of markers = 30

number of markers with Carly + number of markers with Camden = 30

so we have

[tex]5x+x = 30[/tex]

[tex]6x =30[/tex]   ( adding like terms x and 5x)

[tex]x=\frac{30}{6}[/tex] ( dividing both sides by 6)

[tex]x= 5[/tex]

hence we have

number of markers Camden has = [tex]x=5[/tex]

number of markers Carly has = [tex]5x= 5(5) = 25[/tex]

A toy rocket is launched from a platform 42 feet above the ground at a speed of 91 feet per second. The height of the rocket in feet is given by the polynomial −16t^2 + 91t + 42, where t is the time in seconds. How high will the rocket be after 3 seconds? HELP ASAP!!

A. 122 feetB. 218 feetC. 93 feetD. 2570 feet

Answers

Lets get started!

height = -16t² + 91t + 42 
After 3 sec means, t = 3, so we substitute t with 3

H = -16(3)² + 91(3) + 42
    = -144 + 273 + 42
    = 171 feet

The height of the rocket after 3 seconds is 171 feet.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

The height = -16t² + 91t + 42

After 3 sec means, t = 3, so we substitute t with 3

In order to find the height of the rocket after t seconds we plugin t = 3 in the function.

height H = -16t² + 91t + 42

H = -16(3)² + 91(3) + 42

   = -144 + 273 + 42

   = 171 feet

Thus, the height of the rocket after 3 seconds = 171 feet.

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Need help ASAP WILL GIVE TEN POINTS FIVE QUESTIONS-
1

What is the solution to the inequality?

6x−5>−29

A ​ x>−4 ​
B​ x<4 ​
C ​ x>4 ​
D​ x<−4 ​
2

What is the solution to the inequality?

−4x−8>−20
A​ x>3 ​
B​ x>−3 ​
C​ x<−3 ​
D​ x<3 ​

3Solve.

−4.2y+2.1>−2.52


Drag and drop a number or symbol into each box to show the solution.
< > 0.1 1.1 4.62 −4.62


Y.(number) (number)



4 Solve.

−12x+13>35

Drag and drop a number or symbol into each box to show the solution.
< > −8/15 −4/15 4/15 8/15

x (number) (number)

What is the solution set?

−2.8x+5.6<8.4

Enter your answer in the box.

x (answer) plz help and ty

Answers

The answer for 
1) x>-4
2)x<3
3)y<1.1
4)x<-11/6
5)x>-1
HOPE THIS HELP

Answer:

Part 1) Option A [tex]x>-4[/tex]

Part 2) Option D [tex]x<3[/tex]

Part 3) [tex]y < 1.1[/tex]  

Part 4) [tex]x<-8/15[/tex]

Part 5) [tex]x>-1[/tex]

Step-by-step explanation:

Part 1) we have

[tex]6x-5>-29[/tex]

[tex]6x>-29+5[/tex]

[tex]x>-24/6[/tex]

[tex]x>-4[/tex]

Part 2) we have

[tex]-4x-8>-20[/tex]

[tex]-4x>-20+8[/tex]

[tex]-4x>-12[/tex] -----> Multiply by [tex]-1[/tex]  both sides

[tex]4x<12[/tex]

[tex]x<12/4[/tex]

[tex]x<3[/tex]

Part 3) we have

[tex]-4.2y+2.1 >-2.52[/tex]

[tex]-4.2y >-2.52-2.1[/tex]

[tex]-4.2y >-4.62[/tex] ----> Multiply by [tex]-1[/tex]  both sides

[tex]4.2y < 4.62[/tex]

[tex]y < 1.1[/tex]

Part 4) we have

[tex]-(1/2)x+(1/3)>3/5[/tex]

[tex]-1/2x>(3/5)-(1/3)[/tex]

[tex]-1/2x>4/15[/tex] ---> Multiply by [tex]-1[/tex]  both sides

[tex]1/2x<-4/15[/tex]

[tex]x<-8/15[/tex]

Part 5) we have

[tex]-2.8x+5.6< 8.4[/tex]

[tex]-2.8x< 8.4-5.6[/tex]

[tex]-2.8x< 2.8[/tex] ---> Multiply by [tex]-1[/tex]  both sides

[tex]2.8x>-2.8[/tex]

[tex]x>-2.8/2.8[/tex]

[tex]x>-1[/tex]

A photographer enlarges a photo by using a scale of 5. The length of the original photo is 7 in. What is the length of the enlarged photo? Enter your answer in the box.

Answers

The answer is 35, i hope i helped if you have any questions just comment ill respond as soon as possible

Answer:

35

Step-by-step explanation:

35

NEED HELP PLEASE :) ONLY 100% ANSWERS
1) An Egyptian pyramid has a square base that measures 80 meters on each side. If the height of the pyramid is 30 meters, what is the slant height of the pyramid?

2) A room in a bank is shaped like the rectangular prism shown below. The room has a security system that is triggered by two laser beams which stretch from Point A to D and Point B to C. How many total feet of laser beams are there?


*A 3-D rectangle 15 ft. length the back rectangle 12 ft. width the side 35 ft. width front*

Answers

first answer is 81.39 but can't picture the second one without a figure

Answer:

1)  the slant height of the pyramid is 50 meters.

2) there are (approximately) a total of 80 ft of laser beams.

Step-by-step explanation:

1) The height of the pyramid (30 m) and half of the length of its base (40 m) form a rectangular triangle, where the slant height is its hypotenuse (H). From Pythagorean theorem:

H^2 = 30^2 + 40^2

H = √2500

H = 50 m

2) In the figure attached the rectangular prism is shown (point E was added).

The length of the laser beams is the addition of the segments AD to segment CB (which are equal).

We can make a rectangular triangle between points ECD. From Pythagorean theorem:

ED^2 = EC^2 + CD^2

ED = √(12^2 + 35^2)

ED = 37 ft

We can make a rectangular triangle between points AED. From Pythagorean theorem:

AD^2 = EA^2 + ED^2

AD = √(15^2 + 37^2)

AD ≈ 40

Then, there are (approximately) a total of 80 ft of laser beams.

Are the two triangles congruent?

Answers

Quick answer: No <<====
First: The 7 must be opposite the same size angle in both triangles for conguency.
Second: It does not look like these triangles have any angles in common.

equation that passes through the points (-1,0)(0,2)

Answers

1. Find the slope.

2. Plug the slope you found in step 1, one of the given points, and plug both into the point-slope formula.

The point-slope formula is:

y - y_1 = m(x - x_1)

3. Solve the point-slope formula for y.

Your final answer must be in the form

y = mx + b

If p(q-r)x^2 +q(r-p)x + r(p-q) has equal roots,then, 2/q=??
a)p+ 1/r c)p+r
b) 1/p +r d) 1/p + 1/r

Answers

The answer is d) 1/p + 1/r.
Solution to this is,
[r(p-q)/p(q-r)]=1
pr-qr=pq-pr
2pr=pq+qr
2pr/pqr=(pq+qr)/pqr
2/q=1/r+1/p

Jacey obtains a 30-year 6/2 ARM at 4% with a 2/6 cap structure in the amount of $224,500. What is the monthly payment during the initial period?

Answers

In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula: [tex]m= \frac{P( \frac{r}{12}) }{1-(1+ \frac{r}{12})^{-12t} } [/tex]
where
[tex]m[/tex] is the monthly payment
[tex]P[/tex] is the amount
[tex]r[/tex] is the interest rate in decimal form 
[tex]t[/tex] is the number years

First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:
[tex] \frac{4}{100} =0.04[/tex]
We also know from our question that [tex]P=224500[/tex] and [tex]t=30[/tex], so lets replace those values into our formula to find the monthly payment:
[tex]m= \frac{224500( \frac{0.04}{12}) }{1-(1+ \frac{0.04}{12})^{-(12)(30)} } [/tex]
[tex]m=1071.80[/tex]

We can conclude that the monthly payment during the initial period is $1071.58

if you pay $26.50 for an item, including 6% sales tax, what was the original price?

Answers

The original price was $24.91
You can do this by dividing by 1.06

26.5/1.06 = 25.00 dollars. You can check this by figuring out the sales tax separately

25 * (6/100) = 1.50

If you add 1.50 to 25 dollars, you get 26.5 just as you should.

y+2=−2(x−3)

Slope from equation
Problem
What is the slope of the line?

Answers

y = -2x + 6 - 2
y = -2x + 4
The slope of the line is -2.

Please find below the given equation-

y + 2 = -2 ( x - 3 )

y + 2 = -2 x - 2(- 3)

y + 2 = -2 x + 6

y = -2 x + 6 - 2

y = -2 x + 4

Let's compare this equation with the form y = mx +c

By comparing we get,

m = -2 and c = 4

We know, in y = mx + c , slope of the line is given by m

Here m = -2, as discussed above

Therefore the slope of the given line is -2

Hope it helps ..!!

Carolyn has cut a piece of ribbon 29 centimeters long from a roll. which instrument would she use to measure the length of the piece of ribbon?

Answers

Final answer:

Carolyn would use a ruler to measure the length of the piece of ribbon.

Explanation:

To measure the length of a piece of ribbon, Carolyn would use a ruler as the instrument. A ruler is a tool used for measuring small items and distances. It is commonly used for measuring in inches, which is the appropriate unit for short lengths like a piece of ribbon. Carolyn can align one end of the ribbon with the zero mark on the ruler and then extend the ribbon along the ruler to measure its length accurately.

The ruler's precision in measuring small distances, typically in inches, allows Carolyn to obtain a detailed and accurate measurement for the ribbon's length. Aligning the ribbon's end with the ruler's zero mark ensures a standardized starting point for consistency in measurements. This straightforward method showcases the practicality and ease with which rulers facilitate precise length measurements, making them essential tools for tasks requiring accuracy in determining dimensions.

Convert 1/ 3 to a fraction with denominator of 9

Answers

1/3
1 x 3 = 3
3 x 3 = 9
3/9

[tex]\frac{1}{9}[/tex]  is the new fraction after converting or expanding the given fraction [tex]\frac{1}{3}[/tex] with the denominator 9.

Expanding a fraction:

Expanding a fraction means making it "bigger".

How we expand a fraction?

We can expand a fraction by multiplying the numerator and denominator with the same number.

According to the given question we have a fraction [tex]\frac{1}{3}[/tex].

Since, we have to convert or expand the given fraction with the denominator 9.

We know that 3× 3 = 9.

So, multiply the numerator and the denominator of the given fraction by 3.

⇒ [tex]\frac{(1 )(3)}{(3)(3)} = \frac{1}{9}[/tex]

Hence, we have converted  or expanded the fraction [tex]\frac{1}{3}[/tex] with the denominator of 9.

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Solve the following equation. Then place the correct number in the box provided. 9(x - 6) = 8(x + 6)

x=

Answers

Hello!

9(x - 6) = 8(x + 6)

The first step to take here is to apply the Distributive Property, which is
a(b + c) = ab + ac.

9(x - 6) = 8(x + 6)
9x - 54 = 8x + 48

After this, you want to begin to eliminate terms to ultimately isolate x; you can subtract 8x from both sides first:

9x - 54 = 8x + 48
x - 54 = 48

Finally, add 54 to both sides to get x by itself:

x - 54 = 48
x = 102

Answer:
x = 102
The answer is 102.
9(x -6) = 8(x+6)
9x - 54= 8x +48
x- 54= 48
x= 102

Kohl's sells casual shirts for $9 and polo shirts for $18.00. Total sales were $1,080, and customers bought 4 times as many casual as polo shirts. How many casual shirts did Kohl's sell?
a. 40
b. 12
c. 20
d. 60

Answers

trick question so i believe its 
60 
please correct e if im wrong

The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son age is s years, which equation models this situation?

a. (s+3)+[(7s-2)+3}=52
b. 3s+3+3(7s-2)= 52
c. s+(7s-2)=52
d. (s-3)+(7s-2)-3=52

Answers

First,
the age of the son: s
the age of the father is 2 less than 7 times the age of his son: 7s - 2
In 3 years, the sum of their ages will be 52,
In 3 years, the age of the sun will increase 3, so s+3. Also, the age of his father also increase 3, (7s - 2) + 3

(s+3) + [(7s-2) + 3] = 52 is the equation. 

(4 + y = 19) what is y

Answers

4 + y = 19

y = 19 - 4

y = 15

WILL GIVE A BRAINLEST

What is the solution of x+4/2x-1<0 ?

Answers

To solve the inequality x + 4/2x - 1 < 0, first find the critical value x = 1/2. Then, test the intervals to determine the solution set x < 1/2.

To find the solution of the inequality x + 4/2x - 1 < 0, we can follow these steps:

First, find the critical values by setting the denominator, 2x - 1, equal to zero and solve for x. The critical value is x = 1/2.

Next, test the intervals created by the critical value in the original inequality x + 4/2x - 1 < 0. This helps determine the solution set which is x < 1/2.

In the diagram a || b. Use the diagram to answer the question. (Diagram not to scale.) Name the interior angle to 7
A. 1
B. 2
C. 6
D. 4

Answers

thats wrong it is 2 b

On a map, 1.5 centimeters represents a distance of 45 kilometers. If two points on the map are 0.8 centimeters apart, what is the actual distance between the two points?

Answers

Write a proportion
centimeters / kilometers
1.5 / 45 = 0.8 / x
cross multiply
(1.5 * x ) = (45 * 0.8)
1.5x = 36
divide both sides by 1.5
x = 24

The actual distance between the two points is 24 kilometers.

Hope this helps

A pillow that usually costs $20 is marked down 45%. Table Use the table to find the new price of the pillow. $9 $11 $29 $33

Answers

It would now cost $11. 45% of 20 is 9, therefore, you would subtract 9 from 20 (since it is getting marked down). 

Answer:

$11

Step-by-step explanation:

20-9=11

The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points) Part B: What is an approximate average rate of change of the graph from x = 22 to x = 26, and what does this rate represent? (4 points

Answers

the complete question in the attached figure

part A

the x intercept 0 is the point where the ball was hit, the x intercept 20 is the point where the ball fell back to the ground, 20 feet away from the kicker.

the function is increasing in the interval x∈(0, 10) and decreasing in x∈(10, 20) 
this means that the height is increasing in the interval  (0, 10) and decreasing as x goes through the interval (10,20)
the distance from the kicker is increasing during the whole interval (0, 20)

part B

the rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases or increases in the interval 

x =[A, B]

from x = 22 to x = 26-------------- > the function does not exist


Use the diagram to complete the statement. Given JKL, sin(38) equals—
(Diagram is a right triangle. Angle K is 52 degrees and angle L is 38)

cos(38)
cos(52)
tan(38)
tan(52)

Answers

Cos(52) . Sine and Cosine are cofunctions so to convert from one to the other you subtract the value from 90 to get the other function.  90-38= 52.  you can check this by putting both into a calculator.  (in degree mode on calculator)
sin(38) = 0.61566......
cos(52) = 0.61566......

Answer:

Answer is b

Step-by-step explanation:

If two figures are congruent, their perimeters are equal true or false?

Answers

This is true. The term congruent means that the shape is of exactly equal size. If this is true, then every side length would match for each shape. If this is true, the perimeter would also be exactly the same for each shape. Think of something that is congruent as being an exact copy of the original, with no change in size or shape.

Write an algebraic expression for the verbal description. the sum of two consecutive natural numbers, the first of which is n

Answers

I think it may be:

n + (n + 1)

hope this helps
Two consecutive natural numbers would be 1 and 2, or 5 and 6, for example.

If the first number is n and the second number is n+1, then you are writing [tex]n+(n+1)=2n+1[/tex].

Nicholas used a $10 bill to pay for a granola bar that only costs p dollars. How much change did Nicholas receive from the cashier?

Answers

10 - p.
Nicholas would have spent $p, so he has $p less than $10!
you can subtract 10 dollars by the p then you will get your answer 10-p=10p since you can't subtract a number by a letter.

WILL GIVE A BRAINLEST!!!!!!!!!!

Which is true about the statements

The graph of f(x) has a vertex of (–4, 6).
The graph of f(x) is horizontally stretched.
The graph of f(x) opens upward.
The graph of f(x) has a domain of x <=–6.

Answers

the second option


hope this helps<3

Answer: B) The graph of f(x) is horizontally stretched.


Step-by-step explanation: We are given an absolute function [tex]f(x)=-\frac{2}{3} |x+4|-6[/tex].

The standard equation of an absolute function is [tex]f(x)= a|x-h|+k[/tex].

Where (h,k) is the vertex of the absolute function.

If we compare [tex]f(x)=-\frac{2}{3} |x+4|-6[/tex] and [tex]f(x)= a|x-h|+k[/tex], we can see a=[tex]-\frac{2}{3}[/tex], h= -4 and h= -6.

Therefore, vertex of the given function is (-4,-6).Because we have value of a is a negative number so it would open down.An absolute function always have domain " All real numbers".

Therefore, first, third and fourth options are incorrect.

So, the second option would only be applicable.

B) The graph of f(x) is horizontally stretched.

Part 1.] Identify the following series as arithmetic, geometric, both, or neither. Includes picture

Part 2.] Evaluate C(3, 3)
A.] 1
B.] 6
C.] 24

Part 3.] Evaluate C(6,3)
A.] 20
B.] 120
C.] 720

Part 4.] 
How many subsets of four elements each exist in a set of seven elements?
A.] 4!
B.] C(7, 4)
C.] P(7, 4) 

Part 5.] What is the probability of having 3 children that are all boys?
A.] [tex] \frac{1}{2} [/tex]
B.] [tex] \frac{1}{8} [/tex]
C.] [tex] \frac{3}{8} [/tex]

Answers

These are five questions and five answers.

Part 1.] Identify the following series as arithmetic, geometric, both, or neither. Includes picture

Answer: arithmetic

Justification:

The arithmetic series are those in which the distance (difference) between any consecutive terms is constant, so you can find the term An adding the difference to the previous term, A(n-1).

In this case the series is:


∑ (3 + na) =>
n=1

Term1: 3 + a
Term2: 3 + 2a
Term3: 3 + 3a
Term3: 3 + 4a

As you see, the difference between two consecutive terms is a, which shows that it is an arithmetic series.


Part 2.] Evaluate C(3, 3)
A.] 1
B.] 6
C.] 24

Answer: option A) 1.

Explanation:

The formula for combinations is Cm,n = m! / [n! (m - n)! ]

So, for C3,3, C3,3 = 3! / [3! 0!] = 3! / 3! = 1.

From this you might learn that Cm,m for any m is always 1.

Part 3.] Evaluate C(6,3)
A.] 20
B.] 120
C.] 720

Answer: option A) 20

Explanation:

Use the same formula, Cm,n = m! / [n! (m - n)! ]

C6,3 = 6! / [3! 3! ] = 6*5*4 / (3*2*1) = 5*4 = 20

Part 4.] How many subsets of four elements each exist in a set of seven elements?
A.] 4!
B.] C(7, 4)
C.] P(7, 4) 

Answer: option B) C(7,4)

Explanation

You have to select collections of 4 elements from a set of 7 elements, and must realize that the order is irrelevant, i.e. it is the same the set ABCD as the set ACBD or DCAB or any combination of those four elements. So, the answer is a combination and not a permutation.

The number of subsets of 4 elements that you can form with 7 elements is: C(7,4), which is the option B.

Part 5.] What is the probability of having 3 children that are all boys?
A.] 1/2
B.] 1/8
C.] 3/8

Answer: option B: 1/8

Explanation:

The number of possible outcomes is 2 * 2 *  2 = 8

Only one of those outcomes is for all boys = 1

Therefore the probability is 1/8

You can see that representing the possible outcomes using B for boys and G for girls:

1) BBB (three boys)
2) BBG

3) BGB
4) BGG

5) GBB
6) GBG

7) GGB
8) GGG

Those are the 8 possible outcomes and as seen only one is for 3 boys.
Other Questions
In act iv Romeo and Juliet why did Juliets parents think she was crying What happy time does seeing the butterfly bring to the speaker's mind in Wordsworth's "To a Butterfly"?Question 8 options:a period of long summer daysa time of childhood enjoymentsthe moment when the butterfly leftthe planting of his orchard WILLL GIVE BRAINLIEST!! NEED ANSWERS ASAP 1) For businesses and entrepreneurs, which of these is generally considered to be the BEST measure of success? Question 1 options: A) net profit B) total revenue C) marginal cash D) marginal revenue explain why earthquakes and volcanoes appear in generalized belts around the planet. Which statement best describes a difference between prokaryotic cells and eukaryotic cells? *1 pointA The presence of both DNA and ribosomes in prokaryotic cells indicates that they are more complex than eukaryotic cells.B The larger size of prokaryotic cells indicates that they are more complex than eukaryotic cells.C The presence of membrane-bound organelles in eukaryotic cells indicates that they are more complex than prokaryotic cells.D The larger size of eukaryotic cells indicates that they Jane rarely used her phone. whenever her annoying coworker approaches her and she is on the phone her coworker walks away. now jane is always talking on the phone. what principle of behavior accounts for this increase? positive reinforcement negative reinforcement positive punishment negative punishment Runoff is the result of A. Rainwater percolating (soaking) into the ground to recharge the aquifers. B. Precipitation in a body of water that ends up in the ocean. C. Precipitation in a watershed where water flows into a body of water. Carolyn has cut a piece of ribbon 29 centimeters long from a roll. which instrument would she use to measure the length of the piece of ribbon? The graph below shows the numbers of cups of mango juice that are mixed with different numbers of cups of lemon-lime soda to make servings of mango soda: What is the ratio of the number of cups of mango juice to the number of cups of lemon-lime soda?A.1:40 B.10:1 C.40:1 D.1:10 The name of the commonly used hardness scale is: specific gravity organic Mohs inorganic political cartoon from 1986, president reagan (U.S.) and premier mikhail gorbachev (U.S.S.R.) are engaged in an intense arm wrestling match. various symbols are used to explain what is happening. discuss three symbols AND what message the artist was trying to convey by including three symbols in the cartoon. a rigid tank of air is cooled (temperature decreased) the volume has to remain constant because it is a rigid tank the air pressure in the rigid tank ___A. IncreasesB. DecreasesC. Stays the same20 points please help right away Which of the following are heterogeneous mixtures (not homogeneous mixtures)?Check all that apply. A.Blood B.A smoothie C.Milk that is sold at the store D.A cake mix The main purpose of this visual is to ?A. Persuade the reader to buy great gruelB. Inform the reader why great gruel is on sale C. Describe the Presidents' Day sale on cereal D. Entertain the reader with a pretty picture In fruit flies, the gene for red eyes (R) is dominant and the gene for sepia eyes (r) is recessive. If two red-eyed heterozygous flies (Rr) mate together, what are the possible genotypes of their offspring? (Hint: You many want to complete a Punnett square.) RR and Rr Rr only RR and rr RR, Rr, and rr Who articulated the doctrine of nullification before the civil war? pete spends 3/5 of his monthy pay on rent, 1/8 on bills and then spends half of what is left on food. if his monthly pay is $820, how much does he have left at the end of the month? How did France and Britain respond to fascist aggression during the 1930s? Electromagnetic waves can carry more data at higher frequencies. Why would a scientist opt to transmit data at a lower frequency instead?What are the limitations of sending information using electromagnetic waves?What are the differences between analog and digital signals?What are the advantages of using digital signals over analog signals?Using reliable internet sources, identify three ways we use analog and digital signals in our everyday lives. Tapeworms attach themselves inside the intestines of a pig. the worms then eat the pig's partially digested food. the pig is deprived of nutrients. which type of relationship does this represent? a. commensalism b. mutualism c. competition d. parasitism