Identify a rational number among the following numbers :
2 + √2, 2√2, 0 and π

Answers

Answer 1

Answer:

0

Step-by-step explanation:

0 is a rational number...........


Related Questions

I’m having trouble understanding how to solve this someone please help ASAP thank you!

Use the Law of Cosines to solve the problem. You must solve for BC first. Solve this problem in order.

A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position. To the nearest tenth of a degree, how many degrees north of west (x) did it

turn when it changed direction? Show your work.


Answers

I’m not very good at it myself but it should be abt 40 degrees

Points
Find f(−2)
given f(x)=−x3−3x2+8

Answers

Answer:

12 :D

Step-by-step explanation:

First we substitute all x's for -2 :)

f(-2)=−-2^3−3(-2)^2+8

Now we solve :)

f(-2)=−-2^3−3(-2)^2+8

f(-2)=− -8 −3(-2)^2 + 8

f(-2) = -8 - 3(-4) + 8

f(-2) = - 8 + 12 + 8

f(-2) = 4 + 8

f(-2) = 12 :)

f will equal 12 :)

Have an amazing day!!

Please rate and mark brainliest!!

What are the first 10 digits after the decimal point (technically the hexadecimal point...) when the fraction frac17 is written in base 16?

Answers

We happen to have

[tex]\dfrac17 = \dfrac18 + \dfrac1{8^2} + \dfrac1{8^3} + \cdots[/tex]

which is to say, the base-8 representation of 1/7 is

[tex]\dfrac17 \equiv 0.111\ldots_8[/tex]

This follows from the well-known result on geometric series,

[tex]\displaystyle \sum_{n=1}^\infty ar^{n-1} = \frac a{1-r}[/tex]

if [tex]|r|<1[/tex]. With [tex]a=1[/tex] and [tex]r=\frac18[/tex], we have

[tex]\displaystyle \sum_{n=1}^\infty \frac1{8^{n-1}} = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac1{1-\frac18} = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac87 = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac17 = \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots[/tex]

Uniformly multiplying each term on the right by an appropriate power of 2, we have

[tex]\dfrac17 = \dfrac2{16} + \dfrac{2^2}{16^2} + \dfrac{2^3}{16^3} + \dfrac{2^4}{16^4} + \dfrac{2^5}{16^5} + \dfrac{2^6}{16^6} + \cdots[/tex]

Now observe that for [tex]n\ge4[/tex], each numerator on the right side side will contain a factor of 16 that can be eliminated.

[tex]\dfrac{2^n}{16^n} = \dfrac{2^4\times2^{n-4}}{16^n} = \dfrac{2^{n-4}}{16^{n-1}}[/tex]

That is,

[tex]\dfrac{2^4}{16^4} = \dfrac1{16^3}[/tex]

[tex]\dfrac{2^5}{16^5} = \dfrac2{16^4}[/tex]

[tex]\dfrac{2^6}{16^6} = \dfrac4{16^5}[/tex]

etc. so that

[tex]\dfrac17 = \dfrac2{16} + \dfrac4{16^2} + \dfrac9{16^3} + \dfrac2{16^4} + \dfrac4{16^5} + \dfrac9{16^6} + \cdots[/tex]

and thus the base-16 representation of 1/7 is

[tex]\dfrac17 \equiv 0.249249249\ldots_{16}[/tex]

and the first 10 digits after the (hexa)decimal point are {2, 4, 9, 2, 4, 9, 2, 4, 9, 2}.

Can you solve this question and explain it for me? Thank you

Answers

Answer:

This is the answer to your question

Larry likes skeet shooting. a clay disc is shot into the air and the participant tries to shoot it. he rarely misses, because he knows that the flight of the disc can be modeled by a quadratic function. the discs are released from a firing mechanism that sits at ground level and shoots the disc on average a horizontal distance of 120m. the average maximum vertical height that the disc reaches is 40 m.

Answers

a)The functions that represent the flight of the clay disc in Factored Form will be,[tex]\rm y = - \frac{1}{90} (x-60)^2+40[/tex]

b)The function in its standard form is,[tex]\rm y =- \frac{1}{90} x^3 + \frac{4}{3} x[/tex].

c) The domain and range of the quadratic function with the context provided will be [0,120] and [0,40] respectively.

What exactly is a function?

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

The given points represent on the graph is;

x = 0 , y = 0

x = 120 , y = 0

x = 60 , y = 40

The standard equation is;

[tex]\rm y = a(x-h)^2 +k \\\\ y = a(x-60)^2 +40 \\\\ 0 = sA(120-60) +40\\\\ 0= a \times 3600 + 40 \\\\ 3600 a = -40 \\\\ a = - \farc{1}{90}[/tex]

Substitute the value as;

[tex]\rm y = - \frac{1}{90} (x-60)^2+40[/tex]

b)

The above equation  in the standard form is found as;

[tex]\rm y = \frac{-1}{90}(x^2 +3600 -120 x )+40 \\\\ y =- \frac{1}{90}(x^2 -40 + \frac{4}{3}x +40 \\\\ y = \frac{-1}{90} x^2 + \frac{4}{3}x[/tex]

c)The domain and range of the quadratic function with the context provided will be [0,120] and [0,40] respectively.

Hence, the functions that represent the flight of the clay disc in the factored form will be,[tex]\rm y = - \frac{1}{90} (x-60)^2+40[/tex]

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how to say i like chees burgers without saying that like how to say im not gonna date you while i still will im just dum what is 1+1

Answers

Answer:

2

I believe that the answer my friend

Carl is making a garden that is twice as long as it is wide. he wants to cover 271
square feet with the garden. which equation best represents the situation if x
represents the length of the garden?

Answers

The equation which best represents the scenario is, x²/2=271

Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

Perimeter is a length of the boundary surrounding the area

Area of rectangle=length x Breadth

Perimeter=2(length+breadth)

length=x

breadth=x/2

Area=271ft²

Area=length x breadth

So, using the given value we can write

271=x²/2

⇒x=√542

      =23.28ft

Therefore, the equation which best represents the scenario is, x²/2=271

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A test is worth of 150 points and contains 70 questions. Some questions are worth 2 points, and some are worth 4 points

2x + 4y = 150

Answers

Answer:

65 2 point questions, 5 4 point questions

Step-by-step explanation:

write a system of equations:

let x be the number of 2 point questions and y be the number of 4 point questions

2x + 4y = 150

x + y = 70 (since there are 70 total questions)

x + y = 70

subtract x from both sides

y = -x + 70

substitute y = -x + 70 into 2x + 4y = 150

2x + 4(-x + 70) = 150

2x - 4x + 280 = 150

-2x = -130

x = 65

substitute x = 65 into x + y = 70

65 + y = 70

subtract 65 from both sides

y = 5

Two-thirds of the tokens in the box are red and 2/5 of the remaining tokens are blue.
If the remaining 24 tokens are green, how many tokens are there in the box?

Answers

Answer:

After solving this question I got and 120 tokens

Find the slope of the line that passes
through these two points.
Point 1
(4,0)
Point 2
(6,2)

Answers

Answer:

1

Step-by-step explanation:

(2-0) / (6-4)

2/2

xxxxxxxx

Answer:

1

Step-by-step explanation:

The list price of a commodity is RM420 and the percentage profit is 40%. If the commodity is sold at a discount of 10%, the profit is____.​

Answers

Answer:

56

Step-by-step explanation:

you first had to get the marked price so t you can get the profit.

just as illustrated in the picture above.

what is the inverse of f(x)=(-2x+2)/(x+7)?

Answers

By applying the concept of the inverse of a function and algebraic handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

How to find the inverse of a function

In this question we have a rational function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:

[tex]x \to y[/tex]

[tex]f(x) \to x[/tex]

[tex]x = \frac{-2\cdot y + 2}{y+7}[/tex]

x · (y + 7) = - 2 · y + 2

x · y + 7 · x = - 2 · y + 2

2 · y + x · y = - 7 · x + 2

y · (2 + x) = - 7 · x + 2

[tex]g(x) = \frac{- 7\cdot x + 2}{x + 2}[/tex]

By applying the concept of the inverse of a function and algebraic handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

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Find the value of x.
5
X
11
y

Answers

The value of the variable is 4√5. Then the correct option is C.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The similar triangles are shown in the diagram.

16 / x = x / 5

    x² = 16 × 5

      x = 4 √5

Then the value of the variable is 4√5.

Then the correct option is C.

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Round 2
5. A Cadillac Escalade gasoline tank has a capacity of 24
gallons. The car uses approximately 1 gallon for every 25
miles it drives. If the tank starts full, write an equation that
describes the amount of gas, g, left in the tank after it has
been driven for m miles.

Answers

Answer:

g = 24 - 1/25m

Step-by-step explanation:

Since the Cadillac Escalade can travel 25 miles per gallon, each mile the Escalade travels is 1/25th of a gallon of gas.

This means that every mile the Escalade travels, 1/25th of a gallon is subtracted from the gas tank. Since the gas tank has a capacity of 24 gallons, the value of the gas tank is 24.

This leads us to the equation:

g = 24 - 1/25m

where g is the amount of gas left, and m is the number of miles driven.

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend who is located at point B.

Answers

Grant would swim three the middles of the pool (just doing this for the points)

What is the volume of a cylinder, in cubic feet, with a height of 13 feet and a base
diameter of 4 feet? Round to the nearest tenths place.

Answers

Answer:

163.3

Step-by-step explanation:

3.14*r^2*h

h=13

4/2 = 2

r=2

2^2 = 4

3.14*4 = 12.56

12.56*13 = 163.28

Rounded = 163.3

I believe the answer is 163.3

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)

2

+1 . Below is the explanation

Step-by-step explanation:

Given:

The graph of f(x)=x^{2}x

2

To find:

The equation of the transformed graph g(x).

The red graph f(x) is moved right 3 units and up 1 unit to get g(x).

When graph is moved right 3 units , 3 should be subtracted with x.

When graph is moved up 1 unit, 1 is added at the end.

So, our g(x)=(x-3)^{2} +1(x−3)

2

+1

The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)

2

+1

umm.. i fr don’t know how to do this … help pls

Answers

Answer:

2 solutions: ( -4,0 )

( -6,0 )

2 Non solution: ( 2,0 )

( 4,0 )

Answers:

Refer to the graph below

Two solution points are (-5,-4) and (-4,-3)

Non solution points are (0,3) and (1,4)

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

Explanation:

The boundary line for [tex]y \ge 3x+3[/tex] is [tex]y = 3x+3[/tex]

This linear equation has a y intercept of (0,3) and another point on the line is (1,6). Plot these two points and draw a straight line through them. This line is a solid boundary line because of the "or equal to" as part of the inequality sign. This means points on the boundary adjacent to the shaded region area part of the solution set.

Because of the "greater than" portion, we'll shade above the solid boundary line. This only works because y is isolated.

Keep in mind that we're also told that [tex]y < -2[/tex] which means we'll also shade the region below the boundary line [tex]y = -2[/tex]. This is a dashed line through -2 on the y axis. A dashed line does not include points on the boundary as part of the solution.

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

To summarize: We shade above y = 3x+3 (solid) but below y = -2 (dashed).

Refer to the diagram below to see what's going on.

The entire southwest region is shaded.

That blue shaded region represents all (x,y) points that make the system true.

For example, the point (-5,-4) is in the blue region.

Notice how plugging the coordinates into the first inequality gets us...

[tex]y \ge 3x+3\\\\-4 \ge 3(-5)+3\\\\-4 \ge -15+3\\\\-4 \ge -12\\\\[/tex]

which is a true statement. If you plugged y = -4 into [tex]y < -2[/tex], you would also get another true statement.

Both inequalities are true for (x,y) = (-5,-4) which confirms it to be a solution point.

You should also find that a point like (-4,-3) is another solution in the blue region following similar steps. There are infinitely many solution points to pick from. Feel free to choose others.

Non-solution points are such that they aren't in the shaded region. We could also pick points on the dashed boundary line as non-solutions.

Side note: you can pick points on the solid boundary as solution points, but those points must be adjacent to the shaded region. The point (0,3) is NOT a solution even though it's on the solid boundary line.

Damek has five number cards lying on the table. There are two number cards with digit 1, two number cards with digit 2 and one number card with 0. How many different three-digit numbers can Damek form? (Number cannot being with 0).

(P.S. Is there a way to find the answer without listing all the possibilities?)

Answers

Damek can form 14 three-digit numbers from the given situation. Hence, only 14 possibilities.

There are five number cards on the table.

2- digit 1 card

1- digit 0 card

2- digit 2 card

There is a possibility of putting 1 or 2 in the hundredth place.

If 1 is put in the hundredth place then there are 3 possibilities for tenth place 1,0,2

If 1 is put there then there is a possibility of 2 numbers 0,2 in ones place

If 2 is put then there is a possibility of 3 numbers 0,1,2 in ones place

If 0 is put then there is a possibility of 2 numbers 1,2 in ones place.

So, there are 7=(2+3+2) possibilities that the hundredth place is filled by 1.

Similarly, there will be 7 possibilities that the hundredth place is filled by 2.

Hence, there are 14 possibilities as required by the problem.

So, the possibilities of 3-digit numbers are (given the number cannot start with 0) 14.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Consider the equation.

Answers

Answer 1.p= 15/x
2.x=-3

1. Working
px+1=16

xp=16-1
xp=15
p=15/x

2. 4(-5x+1)=64
-5x+1=16
-5x=16-1
-5x=15 ,
x=-3
I hope this helps^^

Look at pictures attached for question and answer choices

Answers

The answers are a rhombus, bisect a pair of opposite angles, and SAS congruency postulate respectively.

What is a rhombus?

A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.

We have a rhombus shown in the picture.

The intersection point is P

From the definition of the rhombus: JK ≅ KM

According to the SAS congruency postulate, two triangles are congruent if a triangle has two sides and an included angle that are congruent to the two sides and an included angle of another triangle.

Thus, the answers are a rhombus, bisect a pair of opposite angles, and SAS congruency postulate respectively.

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]Which statements are true? Check all that apply.

The equation |–x – 4| = 8 will have two solutions.
The equation 3.4|0.5x – 42.1| = –20.6 will have one solution.
The equation StartAbsoluteValue StartFraction one-half EndFraction x minus StartFraction 3 Over 4 EndFraction EndAbsoluteValue equals 0. = 0 will have no solutions.
The equation |2x – 10| = –20 will have two solutions.
The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions.
The equation StartAbsoluteValue StartFraction 1 Over 8 EndFraction x minus 1. EndAbsoluteValue equals 5. = 5 will have infinitely many solutions.

Answers

The correct answers are:

1. The equation |-x -4| = 8 will have two solutions. (True)

5. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. (True)

What is Equation?

An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.

1. The equation |-x -4| = 8 will have two solutions. (True)

|-x - 4| = 8

-x -4 = ±8

-x -4 = 8 and -x -4 = -8

-x = 8 + 4 and -x = -8 + 4

-x = 12 and -x = -4

x = -12 and x = 4

Therefore, it has two solutions x ∈ {-12, 4}

2. The equation 3.4|0.5x - 42.1| = -20.6 will have one solution. (False)

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

3. The equation |1/2x - 3/4| = 0 will have no solutions. (False)

|(1/2)x - 3/4| = 0

(1/2)x - 3/4 = ±0

Since ±0 is the same

(1/2)x = 3/4

x = 2X3/4

x = 3/2

Therefore, it has one solution x = 3/2

4. The equation |2x – 10| = –20 will have two solutions. (False)

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

5. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. (True)

|0.5x – 0.75| + 4.6 = 0.25

|0.5x – 0.75| = 0.25 - 4.6

|0.5x – 0.75| = -4.35

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

6. The equation |(1/8)x - 1| = 5 will have infinitely many solutions. (False)

|(1/8)x - 1| = 5

(1/8)x - 1 = ±5

(1/8)x - 1 = 5 and (1/8)x - 1 = -5

(1/8)x = 5 + 1 and (1/8)x = -5 + 1

(1/8)x = 6 and (1/8)x = -4

x = 6X8 and x = -4X8

x = 48 and x = -32

Thus, it has two solutions x ∈ {48, -32}

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Distribute to create an equivalent expression with the fewest symbols possible.
4(5+y)

Answers

Answer:

20 + 4y

Step-by-step explanation:

To have to fewest symbols possible, we must simplify the expression by multiplying 4 into the numbers within the parenthesis. Doing so we get:

[tex]4(5+y) = 4 * 5 + 4 * y = 20 + 4y[/tex]

Answer: 20+4y

Step-by-step explanation:

Hi, let me help you.

What we should do to simplify this expression is to "distribute" 4.

The parentheses around 5+y tell us to multiply 4 times both 5 and y. This is shown below.

[tex]\multimap\quad \tt 4\cdot5+4\cdot y[/tex]

[tex]\multimap\quad\tt 20+4y[/tex] is what we obtain upon multiplying

________________

Hope I helped. Best wishes.

Reach far. Aim high. Dream big.

____________________

Karl’s math class is playing a number game. Each student is given a number card containing the numbers 1 to 6. The rules of the game are that each student must put a cross through two numbers on the card and hand it in to the teacher. The teacher has a bag containing six balls numbered 1 to 6. When all the number cards have been handed in the teacher draws out two balls from the bag. Every student who had chosen the same two numbers shown on the balls wins a prize. If there are 30 students in Karl’s class, how many students are likely to win a prize? Describe your reasoning

Answers

By finding the probability, we can expect that 2 out of the 30 students will win the prize.

How many of the 30 students will win the prize?

First, we should get the probability of winning this game.

Here the students select two numbers out of 6, just to make the calculations let's say that these numbers are 1 and 2.

Now, we need to get these two numbers in two balls. The probability of getting the ball with the number 1 out of the 6 balls is:

p = 1/6

The probability of getting the ball with the number 2 out of the remaining 5 balls (because we already got one) is:

q = 1/5

The joint probability is then:

P = 2*(1/6)*(1/5) = 1/15.

Where the factor 2 comes to take in account the permutations, for the case where we first draw the number 2 and then the number 1.

Then the expected number of students that will win is equal to the probability times the total number of students:

(1/15)*30 = 2

So out of the 30 students, we can expect that 2 will win.

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which graph correctly represents 3x+y > 7

Answers

Answer:

What graph? add a photo?

what is the equation of x2 + 6x + 8 + 0 algebraically

Answers

Answer:

x = - 4 , x = - 2

Step-by-step explanation:

x² + 6x + 8 = 0

consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (+ 6)

the factors are + 4 and + 2 , since

4 × 2 = 8 and 4 + 2 = 6 , then

(x + 4)(x + 2) = 0 ← in factored form

equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x + 2 = 0 ⇒ x = - 2

if the unit rate is 30 miles per hour , then how much miles is traveled in 9 hours

Answers

Answer:

270 miles

Step-by-step explanation:

Since the unit rate is 30 miles per hour, the miles on 9 hours will be:

= 30 × 9

= 270 miles.

The price of a computer at an electronics store is $1200. If the store gives an "End of the year Sale"
discount of 20%, how much Mark needs to pay to buy the computer?

Answers

Answer
$960

Explanation
1,200 × 20 ÷ 100 = 240
1,200 - 240 = 960

Answer:

$960

Step-by-step explanation:

The discount is 20%, so we need to find 80% of the original price:

[tex].80 \times 1200 = 960[/tex]

On a number line, 2.5 would be located ______. Choose all answers that make a true statement.

2.5
《----|----|----|----|----|----|----|----|----|----|----》


A. to the right of 2.52
B. between 2.45 and 2.55
C. to the left of 2.3
D. between of 2.4 and 2.6

Answers

Answer:

It is both answers B and D

In a school, the number of girls is 70 more than boys. the total number of students is 1280. find the number of girls and boys

Answers

Answer:

Step-by-step explanation:

Conditions

Let the girls = g

Let the boys = b

Equations

g + b = 1280

g = b + 70

Solution

Put the value for the girls (second equation) into the first equation.

b + 70 + b = 1280                           Subtract 70 from both sides

b + 70 - 70 + b = 1280 -70             Combine

2b = 1210                                        Divide both sides by 2

2b/2 = 1210/2  

b = 605                                          Substitute this value into the top equation

g + 605 = 1280                              Subtract 605 from both sides

g + 605 - 605 = 1280 - 605

g = 675

Answer

# boys = 605

# girls = 675

Other Questions
Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer. which value represents the probability that he will win the election? 0 one-fourth three-fourths 1 In at least one hundred words, explain the purpose of Mandela's Nobel Peace Prize Acceptance Speech (1993). Describe how the point of view of the speech further develops the purpose. Use details from the text to support your response. Why is this case an example of trademark violation? ANSWER ASAP What effect did the freedom riders have on the development of the civil rights movement of the 1960s?I think it's A, but I'm not sure a woman at a point a on the shore of a circular lake with radius 1.2 mi wants to arrive at the point B diametrically opposite A on the other side of the lake in the shortest possible time (see the figure). she can walk at the rate of 5 mi/h from C to B and row a boat at 3.5 mi/h from A to C . setting T (x) function to the time by interlaced AC, x is interlacted AC. how to move for shortest. If f(x) = 4x + 1 and g(x)=x2-5, find (f- g)(x). Which athlete received the largest contract in the history of sports? mike trout lionel messi patrick mahomes lebron james. the inverse of f(x)=2x-10 Multiply 3.4x and 1.2x. The word it in line 10 refers to-A) The walking shadowB) The poor playerC) Lady Macbeths deathD) life Whom would you not address using the tu form? a. brother/sister b. a classmate c. a principal d. a cousin A 2-column table with 5 rows. Column 1 is labeled Number of Apples with entries 0, 1, 2, 3, 4. Column 2 is labeled Number of Slices with entries 0, 6, 12, 18, 24.Use the table to find the constant of proportionality and the equation that represents the relationship.Let x = number of apples and y = number of slices.The constant of proportionality is .The equation for this relationship is Which equation is the inverse of y = 9x - 4? Read the excerpt from Conclusion in Walden.The surface of the earth is soft and impressible by the feet of men; and so with the paths which the mind travels. How worn and dusty, then, must be the highways of the world, how deep the ruts of tradition and conformity! I did not wish to take a cabin passage, but rather to go before the mast and on the deck of the world, for there I could best see the moonlight amid the mountains. I do not wish to go below now.Which best describes the purpose of the imagery in the excerpt?It encourages readers to experience Thoreaus work as if they are taking a journey around the world.It illustrates Thoreaus goal to continue exploring the world around him in a unique and fulfilling way.It encourages readers to embark on their own worldly exploration after they finish Thoreaus book.It illustrates the physical and emotional difficulties Thoreau had while living in the world of nature. QuestionA company is considering producing some new Gameboy electronic games. Based on past records, management believes that there is a 70 percent chance that each of these will be successful and a 30 percent chance of failure. Market research may be used to revise these probabilities. In the past, the successful products were predicted to be successful based on market research 90 percent of the time. However, for products that failed, the market research predicted these would be successes 20 percent of the time. If market research is performed for a new product, what is the probability that the results indicate a successful market for the product and the product is actually not successful? Which trim level is available exclusively for customers who participate in the 2023 ariya reservation program?. What is the study of fish known as in biology? In the equation above. K is a constant. If x=9, what value is k? A) 1 B) 7 C) 16 D) 79 if the length of a side of a square is x CM its perimeter is white shapes and black shapes are used in a game. some shapes are circles. all the other shapes are squares. the ratio of white shapes to the number of black shapes is 7:3 the ratio of white circles to white squares is 2:7 the ratio of black circles to the number of black squares is 1:2 work out what fraction fo all shapes are circles give your answer as a fraction in its simplest form