Juanita is taking a cross-country bike tour. She plans to bike 3,118 miles in all. If Juanita bikes an average of 41 miles a day, how many days will it take her to finish the tour?

Answers

Answer 1

Answer:

76 days

Step-by-step explanation:

3,118 divided by 41 miles


Related Questions

One painting shows 520 different types of ladybugs.
Another painting shows 750 different types. How many
times as great is the value of the digit 5 in 520 than the
value of the digit 5 in 750? How do you know?

Answers

Answer:

10 times greater

Step-by-step explanation:

the 5 in 520 is in the  hundreds place value

The 5 in 50 is in the tens place value

50 *10 = 500

From units to tens-------------Multiply by 10 (2*10=20)

From tens to  hundreds-------Multiply by 10  (20*10=200)

From hundreds to thousands----Multiply by 10 (200*10=2,000)

And so on

Final answer:

The value of 5 in 520 is in the hundreds place, so it equates to 500. Conversely, the 5 in 750 is in the tens place, meaning it equals 50. Thus, the 5 in 520 is 10 times greater than the 5 in 750.

Explanation:

This question pertains to the place value in numbers, an essential mathematical concept. In the number 520, the digit 5 is in the hundreds place, which means its value is 5*100 = 500. On the contrary, in the number 750, the digit 5 is in the tens place, hence, it's value is 5*10=50.

Therefore, to find out how many times the value of the 5 in 520 is greater than the value of the 5 in 750, divide the value of the 5 in 520 (which is 500) by the value of the 5 in 750 (which is 50). So, 500 divided by 50 equals 10. This reveals that the value of the digit 5 in 520 is 10 times greater than the value of the digit 5 in 750.

Learn more about Place Value here:

https://brainly.com/question/35447631

#SPJ2

Solve the following equation for W: 5(w-2)+10=3(2w-9)+5​

Answers

Answer:

w=22

Step-by-step explanation:

5(w-2)+10=3(2w-9)+5

1) Use the Distributive Property for 5(w-2) and 3(2w-9):

5w-10+10=6w-27+5

2) Combine alike terms:

5w=6w-22

3) Add a 22 to both sides:

22+5w=6w

4)Subtract 5w from both sides:

w=22

Alicia bought 5.75 yards of fleece fabric to make blankets for a charity. She needs 1.85 yards of fabric for each blanket . How many blankets can alicia make with the fabric she bought

Answers

Alicia make 3 blankets with the fabric she bought.

Given, Alicia bought 5.75 yards of fleece fabric.

For one blanket She needs 1.85 yards of fabric.

We have to calculate the no. of blankets.

So, the no of blankets will be,

[tex]N=\frac{total \ yards}{yard\ needed \ 1 \ blanket}[/tex]

[tex]N=\dfrac{5.75}{1.85} \\\\N=3.10810[/tex]

Since the number of blanket must be a whole number so number of blanket here is 3.

Hence Alicia make 3 blankets with the fabric she bought.

For more details follow the link:

https://brainly.com/question/756147

What is an equation of a line perpendicular to 5x+8y=16 and passed through (-5,7)

Answers

Answer:

8x - 5y = -75 or y = 1⅗x + 15

Step-by-step explanation:

5x + 8y = 16

-5x - 5x

_____________

8y = -5x + 16

___ ________

8 8

y = -⅝x + 2

slope

Now, Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE Rate of Changes [Slopes]:

-⅝ → 1 [or 8⁄5]

7 = 1⅗[-5] + b

-8

15 = b

y = 1⅗x + 15 >> Perpendicular Line in Slope-Intercept Form

If wanted in Standard Form:

y = 1⅗x + 15

-1⅗x - 1⅗x

_____________

-1⅗x + y = 15 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

-5[-1⅗x + y = 15]

8x - 5y = -75 >> Perpendicular Line in Standard Form

I am joyous to assist you anytime.

What is the value of 22x + 3 when x = 5? How much money is 22 nickels and 3 pennies?​

Answers

Answer:

113

$1.13

Step-by-step explanation:

22x + 3 when x = 5 is written 22(5) + 3

You multiply first, 22(5) = 110 + 3 = 113

a nickel is worth .05 so you mulitply .05 x 22 which gets you 1.1 and 3 pennies is .03 and when you add the two together you get $1.13

Answer: The value of 22x+3 is 113. The amount of money that equals 22 nickels and 3 pennies. That answer is also 1113.

Step-by-step explanation:

For the first problem u want to basically do 22 times 5 and that gives you 110. Then after doing that u want to do 110+3 which equals 113.

For the second one since nickels equal 5 cents u want to do 22•5 which gives you 110 and then you do 110+3 and that gives you 113.

What is the value of -27-8
A.-35
B.-19
C.19
D.35

Answers

Answer:

a. -35

Step-by-step explanation:

-28 - 8 = -35

Answer:

A.  -35

Step-by-step explanation:

When subtracting two negative numbers, you are essentially adding the numbers and adding the negative sign next to it:

-27 - 8 = - (27 + 8) = - (35)

A. -35 is your answer.

~

An architect was building a
hotel downtown. He
bought 399 lamps to put in
the rooms. If each room
gets 7 lamps, how many
rooms does the hotel
have?

Answers

Answer:

57

Step-by-step explanation:

Mike works two part time jobs while going to college. He works 8 and half hours a week at the ice-cream store for $10.55 per hour and 7 hours a week at the movie theater for 13.85 per hour. Work each of the following problems in decimal form.

1. How much does Mike earn a week before taxes are taken out of his paycheck?

2. If 22 percent of Mike’s paycheck is withheld for taxes, how much money is left for Mike?

3. At which Job does Mike earn the most before taxes, how much more?

4. If Mike spends $50 a week on entertainment, what percent of Mike’s paycheck is left after he pays taxes? In decimal form.

Answers

Answer:

1.$186.63

2.$145.57

3.$7.27 more

4.65.65%

Step-by-step explanation:

Mike has two part time jobs.

Job 1: Ice-cream store

Number of hours worked= 8.5 hours

Payment per hour=$10.55

Job 2: Movie theater

Number of hours worked=7 hours

Payment per hour=$13.85

1. Earnings per week before taxes

⇒For job 1 will be; the product of hours worked and hourly payments

= 8.5×$10.55 =$89.68

⇒For job 2 will be;

=7×$13.85=$96.95

Total=$89.68+$96.95=$186.63

2.  Calculate amount taken as tax

    Find 22% of the amount earned

   = 22/100 * 186.63 =$41.06

  Remaining amount after tax will be;

   =$186.63-$41.06=$145.57

3.

The job that Mike earns the most before taxes is  at the Movie theater.

How much more will be; Earnings at Movie theater-Earnings at the Ice-cream store

=$96.95-$89.68

=$7.27 more

4.

After paying taxes the amount remaining is $145.57

After spending $50 on entertainment,the amount left will be;

 

$145.57-$50=$95.57

so to find the percent of remaining amount of Mike's paycheck will be;

95.57/145.57 *100=65.65%

Find the area of a square with side a when a=2 in, a=12 in, and a=0.8 in. Are the area of a square and the length of its side directly proportional quantities? Why or why not?

Answers

Answer:

4 inches²

144 inches²

0.64 inches²

Yes, the area of a square and the length of its side directly proportional quantities.

Step-by-step explanation:

In this question, we have to find the area of square by changing the lengths of a side. Given lengths are: 2, 12, 0.8. I will evaluate the area of each side and try to find out the relation between area and length of side.

First, we start with the smallest length (a=0.8 inches)

Area of a square is calculated by taking the square of single side (since both sides are equal).

Area of square = a²

Area of square = 0.8²

Area of square = 0.64 inches²

Area of square with smallest side length (a=0.8 inches) = 0.64 inches²

Secondly, we start with the 2nd highest length (a=2 inches)

Area of square = a²

Area of square = 2²

Area of square = 4 inches²

Area of square with second largest side length (a=2 inches) = 4 inches²

Thirdly, we start with the highest length (a=12 inches)

Area of square = a²

Area of square = 12²

Area of square = 144 inches²

Area of square with highest side length (a=12 inches) =144 inches²

As we can see, with the increase in the length of a side, area of square is also increasing. Therefore, yes the area of a square and the length of its side are directly proportional quantities as the area increases or decreases when the length of the side increases or decreases.

Answer:

They are directly proportional quantities.

Step-by-step explanation:

DEFINITION

Two quantities are said to be directly proportional if an increase in one quantity lead to an increase in the other quantity.

Area of a Square = [tex]Length^2[/tex]

Area of a Square of Length 2 inch = [tex]2^2=4 \:square \:inch[/tex]

Area of a Square of Length 12 inch = [tex]12^2=144 \:square \:inch[/tex]

Area of a Square of Length 0.8 inch = [tex]0.8^2=0.64 \:square \:inch[/tex]

Arranging the sides and corresponding area in ascending order:

(0.8, 2,  12) = (0.64,  4,   144)

We notice that as the length increases, the area also increases.

Therefore, the area of a square and the length of its side are directly proportional quantities.

please help ! I'm so confused ​

Answers

Answer:

okay, so you need to add the two angles that you already have and the subtract 180* from it and thats your answer. ( at least i learned it that way. lol )

Step-by-step explanation:

Which pair of lines is parallel?

Answers

Answer:

○ D)

Step-by-step explanation:

This option has all the Consecutive [same-side] Angles, Alternate Exterior\Interior Angles, Corresponding Angles, and the Supplementary Angles correct.

○ C) This is incorrect because obviously, 65° + 125° gives us 190° instead of 180°, so this would not work.

○ B) This is definitely incorrect because obviously, 27° + 143° gives us 170°, so this definitely would not work anyway.

○ A) This is incorrect because the Alternate interior Angles are incorrect. They would have to be either 50° or 40°, which in this case we have no way of knowing.

○ D) This is correct because 35° + 145° gives us 180°, indicating parallel lines in this case.

I am joyous to assist you anytime.

In Option D, parallel lines shown in this case.

Now, We can formulate;

A) There are angles to be 50° or 40°,

Hence, This is incorrect because the Alternate interior Angles are incorrect.

B) Since, We get;

= 27° + 143°

= 170°,

Hence, This is incorrect

C) Since, We have;

= 65° + 125°

= 190° instead of 180°,

Hence, This is incorrect

D) Since, We have;

= 35° + 145°

= 180°,

Which indicating parallel lines in this case.

Hence, In Option D, parallel lines shown in this case.

Learn more aboput the line segment visit:

https://brainly.com/question/280216

#SPJ6

If a number is positive then it is a whole number and an integer. which is the conclusion of the conditional ?
A . A number is an integer
B. A number is either a whole number or an integer
C. A number is a both a whole number and an integer
D. A number is positive

Answers

Answer:

A a number is an interger

Final answer:

The conclusion of the given conditional statement 'If a number is positive then it is a whole number and an integer' is 'A number is both a whole number and an integer', which corresponds to option C.

Explanation:

In a conditional statement, the conclusion is what is conjectured or inferred from the given hypothesis. For the statement 'If a number is positive then it is a whole number and an integer', the part after 'then' forms the conclusion, that a given number is both a whole number and an integer.

So the correct conclusion for the given conditional is 'A number is both a whole number and an integer'. Therefore, option C is the correct answer to this question.

Learn more about Conditional statements here:

https://brainly.com/question/36974334

#SPJ2

3. © MP.6 Be Precise Devin brought his snail collection
to school. He has 10 snails.
How could he put them into 2 tanks so two classes
could see them?
Write equations for all the possible ways.
One of the ways is given.
Explain how you know you have found all the ways.

Answers

Answer:

See explanation

Step-by-step explanation:

Devin brought his snail collection to school. He has 10 snails.

the smallest number of snails in the tank is 0 and the greatest number of snails in the tank is 10. Also the number of snails in each tank must be a whole number (Devin cannot put half of the snail into the tank). There are 11 whole numbers between 0 and 10.

Hence,  all 11 possibilities to divide snails into two tanks are:

[tex]\begin{array}{cc}\text{Tank 1}&\text{Tank 2}\\ \\0&10\\1&9\\2&8\\3&7\\4&6\\5&5\\6&4\\7&3\\8&2\\9&1\\10&0\end{array}[/tex]

The sums of two numbers in each row must be exactly 10 as the total number of snails Devin has.

I am not a multiple of 7.
I am one away from a multiple of 10.
I am less than twelve tens.
If you round me to the nearest ten, then I round up not down
Who am I?​

Answers

17
Find y if the line through (5,3) and (-3, y) has a slope m = -

A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?

Write your answer as a fraction or a mixed number in simplest form.

please answer asap

Answers

2 2/5 per day I’m pretty sure ( 3 1/8 / 7 1/2)

Answer:

If you think numbers with fractions are annoying, consider transforming the number into fractions!

Step-by-step explanation:

7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day

WILL GIVE BRAINLIEST IF ANSWER CORRECT,
What is the value of x?

Answers

Step-by-step explanation:

It is a heptagon

sum of internal angle = 900

X + 120 + 158 + 126 + 125 +121 + 139 = 900

X + 789 = 900

X = 900 -789

X = 111 degree

George said that 6x10 third power is 180 do you agree or disagree explain the mistake that he made and find the correct answer

Answers

First off, I'm going to assume you meant 6 * 10^3

George is wrong.

6 * 10^3 power equals 6000. The power of 3 equals 3 zeros.

George did 6 * 10 * 3, but we are working with exponents

Hope this helps!

Answer:

Disagree

Step-by-step explanation:

George multiplied 10 * 6 by three instead of raising it to the third power, like this: 60*60*60

I NEED THIS REALLY QUICK ILL GIVE BRAINLIEST AND 5 STARS PLEASE AWNSER

5+4*2+6-2*2-1
insert parentheses to change the value to 19 show work ​

Answers

the answers is 14 if you follow the equation i just did it on a calculator (attached)

Answer: (5+4) * 2 + 6 - 2 * 2 - 1

Step-by-step explanation:

(5+4) * 2 + 6 - 2 * 2 - 1

(9) * 2 + 6 - 2 * 2 - 1

18 + 6 - 2 * 2 - 1

18 + 6 - 4 - 1

24 - 4 - 1

20 - 1

19

You borrow bookcases to display 943 books. You plan to put 22 books on each shelf. There are 5 shelves. How many bookcases do you need

Answers

Answer:

9 bookcases.

Step-by-step explanation:

Total number of books = 943

Total number of books placed in one shelf = 22

Total number of shelves in one bookcase = 5

Total number of books displayed in one bookcase = [tex]No.\ of\ shelves\ in\ 1\ bookcase\times\ No.\ of\ books\ in\ each\ shelf[/tex]

Total number of books displayed in one bookcase= [tex]5\times 22=110[/tex]

Total number of bookcase required = [tex]\frac{total\ no.\ of\ books}{Number\ of\ books\ displayed\ in\ 1\ bookcase}[/tex]

Total number  of bookcase required = [tex]\frac{943}{110} =8\frac{63}{110}[/tex]

So, 880 books can be displayed in 8 bookcases. and for the remaining 63 books we also require one more bookcase. Therefore, the total number of bookcases needed are 9.

A college football team wins eight games and loses three during its season. The margins of victory in the eight wins are (in points scored): 11 14 12 16 25 45 1 49 The relationship between the mean and median margin of victory is typical of distributions which, like this one, are
A) skewed to the right
B) nearly symmetric
C) skewed to the left
D) all positive
E) football shaped

Answers

Final answer:

The relationship between the mean and median margin of victory in a right-skewed distribution is explained.

Explanation:

The relationship between the mean and median margin of victory in this case defines a right-skewed distribution. In a skewed distribution, the mean tends to be farther out on the tail compared to the median. This is because in a right-skewed distribution, there are a few large values that pull the mean towards the right and away from the median, which represents the middle value. In this case, the mean margin of victory is 88.2, and the median margin of victory is 87.5. Therefore, the correct answer is option A) skewed to the right.

7(3r - 1) - (r + 5) = -52

Please step by step help

Answers

7(3r-1)-(r+5)=-52

21r-7-r-5=-52

21r-r-5-7=-52

20r-12=-52

Add 12 to both sides

20r=-40

Divide by 20

r=-2

Answer:

r = -2

Step-by-step explanation:

7(3r - 1) - (r + 5) = -52 distribute (the - sign too)

21r - 7 + -r - 5 = -52 add/ subtract like terms

20r - 12 = -52 subtract -12 and added to -52

     +12      +12

20r = -40 divide by 20

20r/20 = -40/20

r = -2

Please help me 80 points for who answers :)

Answers

Answer:

the sum of two negative integers is a negative integer. true

the sum of two positive integers is a positive integer. true

to find the sum of a positive and a negative integer take the absolute value of each integer and then subtract these values.

true

the additive inverse of any integer and its opposite is equal to 0. false

The sum of any integer and its opposite is equal to zero.

Answer:

the sum of two negative integers is a negative integer. (T)

the sum of two positive integers is a positive integer.  (T)

the additive inverse of any integer and its opposite is equal tu zero. (F)

to find the sum of a positive and a negative integer, take the absolute value of each integer and them subtract these vakues. (T)

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = (x - 12)2 + 3

Answers

The graph is translated 12 units right and 3 units up from the parent function.
Final answer:

To transform the graph of y = x2 to y = (x - 12)2 + 3, subtract 12 from the x-coordinate to shift the graph horizontally and add 3 to the y-coordinate to shift it vertically.

Explanation:

To transform the graph of y = x^2 to the graph of y = (x - 12)^2 + 3, we need to understand the effect of each transformation on the original graph. Here are the steps:

To translate the graph horizontally 12 units to the right, we subtract 12 from the x-coordinate of each point on the graph. The equation becomes y = (x - 12)^2.To shift the graph vertically 3 units up, we add 3 to the y-coordinate of each point on the translated graph. The equation becomes y = (x - 12)^2 + 3.

By applying these transformations, we obtain the graph of y = (x - 12)^2 + 3, which is the original parabola shifted 12 units to the right and 3 units up.

Learn more about Transforming graphs here:

https://brainly.com/question/34877630

#SPJ2

4x+1=9+4y solve for y

Answers

Answer:

y = x-2

Step-by-step explanation:

The value of y in the given equation; 4x+1=9+4y is y = x-2

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

Thus the Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

Given that 4x+1=9+4y

We need to solve for y;

4x+1=9+4y

4x - 4y = 9 -1

4x - 4y = 8

x - y = 2

Therefore, the value of y in the given equation; 4x+1=9+4y is y = x-2

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

What are the values for the coefficients and constant term of 0 = 2 + 3x - 5x?​

Answers

The answer is x=1 and hope that answers is very helpful

What is the intersection of the given lines?
AB and EB​

Answers

Answer:

point b

Step-by-step explanation:

Please Help and I will vote you as the brainiest

Simplify (x−5)(x2−2x−6)

x3−7x2+4x+30

x3−5x2+10x+30

x3−7x2+16x+30

x3+x2−4x+30

Answers

(x−5)(x2−2x−6)

mutiply the brackets together

(x)(x^2)=x^3

(x)(-2x)=-2x^2

(x)(-6)=-6x

(-5)(x^2)=-5x^2

(-5)(-2x)=10x

(-5)(-6)=30

x^3-2x^2-6x-5x^2+10x+30

x^3-2x^2-5x^2-6x+10x+30 ( combine like terms)

x^3-7x^2+4x+30

Answer: x3−7x2+4x+30

Answer:

I can confirm that the answer above is indeed correct.

Step-by-step explanation:

8. How is 10 2/3 written as a decimal to the
nearest hundredth?
A. 10.25
B. 10.50
C. 10.67
D. 10.75
price of the

Answers

Answer:

The answer is C.

I hope this helped you.

Answer: 10 2/3 written as a decimal is 10.67

Step-by-step explanation:

first off you would have to convert the fraction 2/3 into a decimal and to do that you have to divide the numbers and that would give you 0.66666666666 which you then round up and therefore you get 10.67

1. Which of the following is true regarding the graph of y = 1/x ?
a. The domain is all real numbers.
b. There are horizontal and vertical asymptotes.
C. The graph intersects the x-axis in two places.
d. The range is 0 < y<.

Answers

Answer:

b. There are horizontal and vertical asymptotes

Step-by-step explanation:

The graph is a hyperbola with asymptotes of x=0 and y=0

The correct options regarding the graph of y = 1/x are:

b. There are horizontal and vertical asymptotes.

c. The graph intersects the x-axis in two places.

a. The domain of y = 1/x is all real numbers except x = 0 since division by zero is undefined.

b. The graph of y = 1/x has a vertical asymptote at x = 0, which means the function approaches infinity as x approaches 0 from the left side and approaches negative infinity as x approaches 0 from the right side.

There is no horizontal asymptote because the function does not approach a specific y-value as x approaches positive or negative infinity.

c. The graph intersects the x-axis in two places: once for positive x-values and once for negative x-values.

The x-intercepts occur when y = 0, which happens when x = 1 and x = -1.

d. The range of y = 1/x is y ≠ 0 since division by zero is undefined. The function can take on positive and negative values as x approaches positive or negative infinity, respectively.

Therefore, the range is y < 0 or y > 0, depending on the chosen interval.

Learn more about Function here:

https://brainly.com/question/30721594

#SPJ2

what transformation transforms (a, b) (a, -b)

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

We have

(a, b ) → (a, - b ) ← reflection in the x- axis

Answer:

Put random numbers into your points and check the quadrants

Step-by-step explanation:

Other Questions
If I want to accelerate a mass of 3 kg at 5 m/s2 then how much force should I apply? two numbers are in the ratio of 2to 3 if the smaller number is 18 what is the larger number Name three recent advances that are influencing OS design. Solve -2(t+2)+5t=6t+11 What is Kerberos?a.A three-headed dog from the Egyptian mythologyb.A trusted third-party authentication protocolc.A security modeld.A remote authentication dial in user server Suppose you are sitting on a rotating stool holding a 2 kgmassin each outstretched hand. If you suddenly drop the masses,willyour angular velocity increase, decrease, or stay the same?PleaseExplain. 3. Looking at some pond water under the microscope, you notice an unfamiliar rod-shaped cell about 200 mm long. Knowing that some exceptional bacteria can be asbig as this or even bigger, you wonder whether your cell is a bacterium or aeukaryote. how will you decide? if it is not a eukaryote, how will you discoverwhether it is a bacterium or an archaeon? [20] Could someone just show me how to solve this? I don't want an answer, I would like to solve it on my own, I just don't know how to write an equation for this. Please help! Inventory records for Dunbar Incorporated revealed the following: Date Transaction Number of Units Unit Cost Apr. 1 Beginning inventory 530 $2.37 Apr. 20 Purchase 310 2.50 Dunbar sold 640 units of inventory during the month. Cost of goods sold assuming LIFO would be Consider two displacements, one of magnitude 15 m and another of magnitude 20 m. What angle between the directions of this two displacements give a resultant displacement of magnitude (a) 35 m, (b) 5 m, and (c) 25 m. Which choice could be the equation of a line perpendicular to the line represented by this equation? y = 5x 2A. y= -1/5x + 5B. y = 5x + 2C. y= 1/5x - 7D. y = -5x + 5 The primary reason that American strategy in the War of 1812 focused on invading and conquering Canada was a. the United States considered complete control of the Great Lakes the key to the future of North America. b. the Canadians were already in rebellion against British rule. c. Britain was weakest and most vulnerable there. d. the United States expected support from France, which hoped to recover its lost colony of Quebec. Define an array of the length 6 with the elements of WORD type. Initialize the first and the last of them with the same value of your choice; leave the remaining four uninitialized. The first great lead for humans was A) fireB) stone weaponsC) domesticated animalsD) domesticated plants A cylindrical part of diameter d is loaded by an axial force P. This causes a stress of P/A, where A = d2/4. If the load is known with an uncertainty of 10 percent, the diameter is known within 3 percent (tolerances), and the stress that causes failure (strength) is known within 16 percent, determine the minimum design factor that will guarantee that the part will not fail. The design factor that guarantee the part will not fail is . What inequality is graphed below?x < -6x -6 x -6 Build, therefore, your own world. As fast as you conform your life to the pure idea in your mind, that will unfold its great proportions. A correspondent revolution in things will attend the influx of the spirit. The 1836 passage above exemplifies which of the following characteristics associated with the transcendentalist movement? The embrace of American culture and society The emphasis on emotion and instinct The embrace of Northern religious institutions The emphasis of empirical understanding over emotion Consider the following data points.P1(1, 3), P2(2, 4), P3(3, 5), P4(4, 7), P5(5, 8)(a) Find the equation of the least-squares line for the data.y(x) = Which of the following clues would tell you if a cell is prokaryotic or eukaryotic?a. whether or not the cell carries out cellular metabolismb. whether or not the cell contains DNAc. the presence or absence of ribosomesd. whether or not the cell is partitioned by internal membranese. the presence or absence of a rigid cell wall Exhalation removes from the body.