Evaluate fraction with negative 3 raised to the seventh power times negative 3 squared in the numerator and negative 3 raised to the fifth power in the denominator.

−81
−27
27
81

Evaluate Fraction With Negative 3 Raised To The Seventh Power Times Negative 3 Squared In The Numerator

Answers

Answer 1

Answer:

Last option, 81.

Step-by-step explanation:

Evaluate, [tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex]

[tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{7+2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{9} }{\ (-3)^{5} }[/tex] => [tex](-3)^{9-5}[/tex] => [tex](-3)^{4}[/tex] => [tex](-3)(-3)(-3)(-3)[/tex] => [tex]81[/tex]


Related Questions

A recipe calls for 6 liters of oj, 3 liters of grape juice and 9.5 liters of ice water. How much grape juice and water will be used with 2 liters of Jo?

Answers

If we use 2 liters of OJ, you will need to change the recipe and use:

1 liter of grape juice.3.2 liters of water.How much grape juice and water it will need?

We know that a recipe calls for 6 liters of OJ, 3 liters of grape juice and 9.5 liters of ice cream.

If instead we use 2 liters of OJ, then the ratio of the recipe that we use is given by the quotient below:

2L/6L = 1/3

So we will just use 1/3 of each of the amounts that the recipe calls, we will se:

(1/3)*3 liters of grape juice = 1 liter of grape juice.

(1/3)*9.5 liters of water = 3.2 liters of water.

These are the amounts that you need to use.

Learn more about recipes:

https://brainly.com/question/2985210

#SPJ1

M/5 + 9=11
Solve two step equations

Answers

Answer:

m=10

Step-by-step explanation:

m/5+9=11 subtract 9

m/5 = 2 multiply 5 by both sides

m = 10

Which of the binomials below is a factor of this trinomial? x^2 + x - 30

Answers

The binomials which correctly represent the factors of the given trinomial; x² + x - 30 as required in the task content are; ( x - 5 ) and ( x + 6 ).

Which binomials correctly represents the factors of the given trinomial?

As evident in the task content; the given trinomial whose binomial factors are to be determined is; x² + x - 30.

By factorisation; the given trinomial expression can be written as;

x² + 6x - 5x - 30

x ( x + 6 ) -5 ( x + 6 )

( x - 5 ) ( x + 6 )

On this note, the required binomials which are factors of the given trinomial expression are; ( x - 5 ) and ( x + 6 ).

Read more on factorisation;

https://brainly.com/question/11434122

#SPJ1

3) At the grocery store, the bags of oranges weigh 4 1/3 pounds. How much would 2 1/2 bags of oranges weigh?​

Answers

Answer:7 7/8. pounds.

Step-by-step explanation:

9+2+4+6+123=?
please help

Answers

Answer:

144

Step-by-step explanation:

9+2+4+6+123=

11+10+123
21+123
144

Give an example of Limit of a Polynomial Function.

Note; With explanation po sana.

Pa help po pls.. I'll mark as brainliest for the one who can answer.

Answers

An example of limit in polynomial will be the polynomial function f(x) = x³ + 2x² - 5. As x approaches 2, the value of the function approaches 11. So, the limit of f(x) as x approaches 2 is 11.

What is a polynomial?

A polynomial simply means an expression which is composed of variables, constants and exponents, which are combined using mathematical operations such as addition, subtraction, multiplication and division

In mathematical notation, we can write it as: Here, lim x->2 (x³ + 2x² - 5)

= x³ + 2x² - 5

= 2³ + 2(2²) - 5

= 8 + 8 - 5

= 11

This means that as x gets arbitrarily close to 2, the values of the function gets arbitrarily close to 11.

Learn more about polynomial on;

https://brainly.com/question/4142886

#SPJ1

Helpp!! Solve the system by graphing.

Answers

Answer is no solutions

Step by step

y = 2x +2
y = 2x -2

these two equations have the same slope (2) with different y intercepts (2 and -2) so they are parallel lines. Since the lines are parallel, the pair of equations have no solution.

consider the trinomial 15x² - 34x - 16.
List all the factor pairs for -240.

Answers

Answer: To find the factor pairs for -240, we can use the following steps:

Find the prime factorization of -240: -240 = (-2) * (-2) * (-2) * (-3) * (-5)

For each prime factor, there are two possible factor pairs: (-1) and (1), and (-n) and (n). For example, for the factor -2, the possible factor pairs are (-1) and (1), and (-2) and (2).

The factor pairs for -240 are: (-1) and (1), (-2) and (2), (-3) and (3), (-5) and (5), (-6) and (6), (-10) and (10), (-15) and (15), (-30) and (30).

Thus, the factor pairs for -240 are: (-1, 1), (-2, 2), (-3, 3), (-5, 5), (-6, 6), (-10, 10), (-15, 15), and (-30, 30).

Step-by-step explanation:

please help !!!!!!!!

Answers

8.96848786347

i think this should be right i did it with my 5th grade math skills and dont wory i have an a+

Which point(s) lie on the graph of the equation y = -5x - 3?

Answers

Answer; (-1, 2), (0, -3), (1, -8), (2, -13), (3, -18)

Explanation below in image

Plug in values of x to find corresponding values of y.

For example, replace x with 0 to find that...

y = -5x-3

y = -5*0 - 3

y = 0 - 3

y = -3

We have x = 0 lead to y = -3.

Therefore, the point (0, -3) is on this line. This is the y intercept.

Now try something like x = 1

y = -5x-3

y = -5*1 - 3

y = -5 - 3

y = -8

It shows the point (1,-8) is also on the line.

The straight line goes through (0,-3) and (1,-8)

We can repeat this process infinitely many times since there are infinitely many numbers to pick for x.

See the graph below. I used GeoGebra to make it, but you can use something like Desmos or similar.

can someone help me please

Answers

Answer:

Step-by-step explanation:

-1 +2=1

2+2=4

5+1=6

A bill of $3400 was paid with $20 notes and $100 notes. Ninety notes were used. How many $20 notes were used?

Answers

Answer:

70

Step-by-step explanation:

for every 5 $20 notes is $100 70 notes is $1400 and the other 20 is $2000 which makes 3400

Translate the sentence into an equation.
Five times the sum of a number and 9 equals 3.
Use the variable y for the unknown number.

Answers

Answer: To translate the given sentence into an equation, we can start by replacing the words "five times the sum" with the mathematical expression "5(x + 9)". Then, we can replace the word "number" with the variable y, to get:

5(y + 9) = 3

Next, we can distribute the 5 to obtain:

5y + 45 = 3

Finally, we can subtract 45 from both sides to solve for y:

5y = -42

y = -42/5

y = -8.4

Therefore, the equation that represents the given sentence is y = -8.4.

Step-by-step explanation:

each minute your heart pumps 1.5 gallons of blood around your body. How many pints of blood will your heart pump in a day?

Answers

The heart pumps around 17280 pints of blood in a day.

To find out how many pints of blood your heart pumps in a day, we need to determine the total volume of blood that your heart pumps in one day.

We know that your heart pumps 1.5 gallons of blood per minute. To find out how much blood your heart pumps in one day, we need to multiply that amount by the number of minutes in a day.

1 day = 24 hours

1 hour = 60 minutes

So, the number of minutes in one day is 24 hours x 60 minutes = 1440 minutes

Now, we can use this information to find out how many gallons of blood your heart pumps in a day.

Gallons of blood pumped per day = 1.5 gallons/minute x 1440 minutes/day

= 2160 gallons

1 gallon = 8 pints

So the number of pints of blood that your heart pumps in a day = 2160 gallons × 8 pints/gallon = 17280 pints.

Learn more about the heart:
https://brainly.com/question/16566688

your heart pumps 2000 gallons of blood around your body each day.

if your body pumps around 1.5 gallons of blood each minute then a day is 24 hours so yu do that x together which is 20 but as its hours you do it for 2000 and just incase yu need some more info

(1.5 imperial gallons) x 24 hours = 589.173508 m3 s

SORRY IF THIS DONT ALL MAKE SO MUCH SENSE

(HELP ASAP!)
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?

Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625

Answers

Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80.

What is ratio?

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

In baseball, each time a player attempts to hit the ball, it is recorded.

The ratio of hits compared to total attempts is their batting average.

Each player on the team wants to have the highest batting average to help their team the most.

For the season so far,

Jana has hit the ball 7 times out of 10 attempts.

Tasha has hit the ball 10 times out of 16 attempts.

To find the ratio of batting average:

We must find the same number of attempts.

So,

Jana has ratio 7/10.

So, 56 /80 = 0.7

Tasha has ratio 10/16.

So, 50 / 80 = 0.625

Therefore, Jana has the highest batting average.

To learn more about the ratio;

https://brainly.com/question/13419413

#SPJ1

Ms.Metz had her students estimate the length and width of a math book. Dana's estimate was 40cm by 20cm. The book measured 24cm by 16cm. How far off was her estimate?

Answers

Dana's estimated length was 66.67% far off the actual length and her estimated width was 25% far off the actual width.

What is percent error?

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Percent Error Formula

The formula for percent error is:

PE = (|Estimated value-Actual value|/ Actual value) × 100

Given,

Actual length of the book = 24 cm

Actual width of the book = 16 cm

Dana's estimated length of the book = 40 cm

Dana's estimated width of the book = 20 cm

Error in measurement of length of the book =

(Measured Length - Actual Length/Actual length) × 100

= (40 - 24/24) ×100 = 66.67%

Error in measurement of width of the book =

(Measured width - Actual width/Actual width) × 100

= (20 - 16 / 16) × 100 = 25%

Hence, Dana's estimated length and breadth was 66.67% and 25% far off the actual length and width of the book respectively.

Learn more about percent error here:

https://brainly.com/question/10501147

#SPJ1

Lenore rounds each factor to the nearest ten to estimate the product of 51 times 37 as 1,500.is Lenore’s estimate reasonable?Explain.

Answers

Answer:

yes

Step-by-step explanation:

51 to nearest ten is 50

37 to nearest ten is 40

50 * 40 = 2000

and it's an estimate so yes

Find the length of the model in the picture!!!Then find the scale factor.The length of an actual bird is shown on the picture.

Answers

We calculated length of model bird in the picture = 2 ¹⁵₁₆ inch and scale factor =1/2

what is scale factor?

It is expressed as the ratio of the dimension of a model object and dimension of an actual object.

A scale factor is a number which is multiplied by an object in order to form a proportional enlarged or reduced object.

What is the length of the model in the picture?

Given, the length of an actual bird = 5⁷₈ inch = 47/8 inch

also given, 1 inch = 0.5 inch

   1 inch = 1/2 inch

we need to determine the length of model bird by multiplying the above factor.

now, length of model bird = 47/8 × 0.5 inch = 47/16 inch = 2¹⁵₁₆ inch

scale factor = length of model bird/ length of actual bird = 47/16 /47/8

scale factor = 1/2

To learn more about scale factor visit:

https:// brainly.com/question/29047298

#SPJ1

Your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost. How much did the shoes cost? Write and solve an equation, let s represent the cost of the shoes.

Answers

The equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost.

Let s represent the cost of the shoes.

Now, equation is

8% of s=10

8/100 ×s=10

0.08s=10

s=10/0.08

s=$125

Therefore, the equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost for rear crash repair cost for a certain models sedan use the equation to predict the full rear repair cost from a full front repair cost of $4594

Answers

Therefore the predicted full rear repair cost would be $1211.576 if y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost.

What is line of regression?

When modeling the connection between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, while multiple linear regression is used when there are numerous variables.

What is scalar?

Physical values known as scalars are unaffected by modifications to the vector space basis. Scalars frequently include units of measurement, such as "10 cm." Scalar quantities include things like mass, space, charge, volume, time, speed, and the overall size of physical vectors.

To predict the full rear repair cost from a full front repair cost of $4594, you would substitute 4594 for x in the equation y = 2060 - 0.186x and solve for y.

y = 2060 - 0.186(4594)

y = 2060 - 848.424

y = 1211.576

So the predicted full rear repair cost would be $1211.576

To know more about Distance visit

:https://brainly.com/question/26550516

#SPJ1

Answer:

$1,206

Step-by-step explanation:

A students wants to write an expression for, all of the elements which are not in set A. Which expression below matches the statement A. NA (B) B (C) -A (D) A’

Answers

The expression A' represents the statement for all of the elements which are not in set A.

What is Set?

A set is a collection of well defined objects.

Given that A students wants to write an expression for all of the elements which are not in set A.

The elements within set A are denoted by A.

We have to find  all of the elements which are not in set A.

U represents the universal set and A is the given set.

A'=U-A

Hence, the expression A' represents the statement for all of the elements which are not in set A.

To learn more on Sets click:

https://brainly.com/question/8053622

#SPJ1

why is 2^3x 5^4x 9^4 not a prime factorization? what is the prime factorization of the number?

Answers

2^3x 5^4x 9^4 is not a prime factorization because it includes variables (x) in the exponents of the terms. In order to express a number in prime factorization form, all exponents must be constants (whole numbers).

The prime factorization of the number can be obtained by setting the variables x to specific values. For example, if we set x = 2, the number becomes 2^6 5^8 9^8, which can be further factored as 2^2 x 3^6 x 5^8 x 7^8. If we set x = 3, the number becomes 2^9 5^12 9^12, which can be further factored as 2^3 x 3^9 x 5^12 x 7^12.

So the prime factorization of the number depends on the value of the variable x. Without knowing the value of x, it is not possible to determine the exact prime factorization of the number.

a wall is 50cmx50cm how many 2cmx1cm tiles would you need to fill it

Answers

Answer: 1250

Step-by-step explanation: 50 x 50 = 2,500

                 2,500 divided by 2 is 1250

Parallelogram ABCD has vertices at A (-3, 6.5), B (-1, -1.5), and C (4.5, 0). What are the coordinates of Point D?

Answers

The coordinates of Point D are (2.5, 8).

What is parallelogram?

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.

Given:

Parallelogram ABCD has vertices at A (-3, 6.5), B (-1, -1.5), and C (4.5, 0).

We have to find the coordinates of Point D.

Let its fourth vertex be D(a, b).

Join AC and BD. Let AC and BD intersect at point O.

We know that the diagonals of a parallelogram bisect each other.

So, O is the midpoint of AC as well as that of BD.

Using the midpoint formula,

Midpoint = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Here, ([tex](x_1, y_1) = (-3, 6.5), (x_2, y_2) = (4.5, 0)[/tex]

⇒  Midpoint of AC = [tex](\frac{-3 + 4.5}{2}, \frac{6.5 +0}{2}) = (\frac{1.5}{2}, \frac{6.5}{2}) = (0.75, 3.25)[/tex]

Now,

Midpoint of BD is = [tex](\frac{-1+a)}{2}, \frac{-1.5+b}{2})[/tex]

[tex]\frac{-1+a}{2} = 0.75, \frac{-1.5+b}{2} = 3.25 \\ -1 + a = 1.5, -1.5 + b = 6.50\\a = 2.5, b = 8[/tex]

Hence, the coordinates of Point D are (2.5, 8).

To know more about parallelogram, click on the link

https://brainly.com/question/970600

#SPJ1

PLEASE BE FAST
Find the constant of proportionality for the proportional relationship shown in the graph.

graph of a line going through 0 comma 0 and one half comma 5

p = 10
p = 5
p = 0.5
p = 0.1

Answers

The constant of proportionality is 10 for the proportional relationship shown in the graph.

What is the constant of proportionality?

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The proportional relationship is shown in the given graph.

As per the given graph, we take two points (1, 10) and (2, 20)

So, the constant of proportionality will be as:

⇒ (20 - 10)/(2-1)

⇒ 10/1

⇒ 10

Hence, the correct answer would be option (A).

To learn more about the constant of proportionality here:

https://brainly.com/question/17302514

#SPJ1

in a company, 60% of workers are women. if 800 people work on the company who aren't women, how many workers are there in all? use pencil and paper. show two different ways that you can solve this problem. how many workers in all?

Answers

Answer:

2000 workers

Step-by-step explanation:
All the workers: 100%
Women: 60%
Others: 40% = 800 workers
=> 1% of the workers: 800/40 = 20 workers
=> 100% = 20 x 100 = 2000 workers
(I can't think of another one)

During the first several rounds of a golfing league, Dirk made par or better on 42 out of 90 holes. Based on this relative frequency, how many pars or better could he be expected to make on the remaining 150 holes? Round to the nearest whole number if necessary.

70 pars or better

60 pars or better

65 pars or better

53 pars or better

Answers

Dirk will make 70 pars or better.

What is expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that During the first several rounds of a golfing league, Dirk made par or better on 42 out of 90 holes.

Out of 90 holes, Dirk made par or better on 42 holes.

At this rate, Out of 1 hole, Dirk made par or better on (42/90) holes.

Then, Out of 150 holes, Dirk will make par or better on -

(42/90 x 150) holes

(42/90 x 150)

70

Therefore, Dirk will make 70 pars or better.

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

if a tree is 105 metres tall in real life what would be the height of the diagram of the tree if the scale was 1: 1000

Answers

Answer:

1.05

Step-by-step explanation:

it is 105 divided by 1000

Answer:

0.105 metres

Step-by-step explanation:

105 divided by 1000

2) Out of the 976 potatoes in the storeroom, 61 are rotten. What percentage of
the potatoes are rotten?

Answers

Answer:

The answer is 6.25%

Step-by-step explanation:

Given;Out of the 976 potatoes in the storeroom, 61 are rotten.

So,

(61 ÷ 976) × 100%

0.0625 × 100% = 6.25%

Thus, 6.25% of potatoes are rotten.

Step-by-step explanation:

% of potatoes rotten = 61/976 × 100

=> 6100/976

=> 6.25%

each day you do homework for m minutes and watch tv for 30 minutes. Which expression can you use to find how many minutes you do both activities.

Answers

Answer:

Let y be the expression for the minutes you do both activities.then

y=m+30 is the required expression

Other Questions
What is a person with good wellness? Do nutrition labels provide relevant information? Let f be a polynomial with integer coefficients, of degree n>1. What is the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),... 5. Suppose you went on vacation but forgot your smart phone charging cable. Your phone battery died after two full days (48 hours) of use. This situation is modeled by the equation f(h) = 48, where h is the hours of cell phone use and f(h)is the percentage of battery life left. What is the upper bound of the parameter h? hrs What is the lower bound of the parameter h? hrs Where did the Creek tribe come from? Alabama and Georgia Maine and New York Tennessee Wyoming What numbers do I put on the right side? The inheritance of short wings in Drosophila fruit flies is an X-linked, recessive trait. Which would most likely result it a short-winged female mates with a long-winged male? SC. 912. L. 16. 1 All offspring will be short-winged All females will be long-winged, and all males will be short-winged All females will be short-winged, and all males will be long-winged o Half of the males and females will be short-winged, and half will be long-winged Alexis sells stuffed animals. she sells a stuffed elephant for $14.95, and the sales tax is 5% of the sale price. about how much is the sales tax on the elephant? the author argues that Jefferson,s diplomatic handing of the purchase was brilliant provide examples that support his claim . Marissa is painting one of her bedroom walls. She marks off of the wall. Then she divides the marked section into 3 equal parts and paints one part blue. What fraction of the whole wall is blue? How is the end of chapter two an example of situational irony? The work W required to lift an object varies jointly with the object's mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules. Find the amount of work required to lift a 150-kilogram object 1.6 meters. During which process of glass manufacturing does the glass flatten out? Melting the WaxWashing, drying, and cutting Annealing Floating on tin _____tres horas que tengo que estar en el trabajo. A. QueB. Desde que C. Hace2.Its been three months since Ive been swimming. A. No Nasi desde hace tres meses. B. Hace tres meses no que hay nadar.C. Hace tres meses que nado.3. Ive been living in Pittsburgh for twelve years.A. Hace dice anos desde hace vivo en Pittsburgh.B. Vivo en Pittsburgh desde hace doce anos.C. No vivo en Pittsburgh desde hace doce anos. how deos the structure of water molecule result in the hydrogen bodning ? use evidence from the image below What is a sebaceous cyst or subcutaneous tumor filled with sebum that ranges in size from a pea to an orange, usually appearing on the scalp, neck, and back. This passage is taken from a nineteenth-century speech given in Massachusetts after the conviction of a fugitive slave.1(1) I walk toward one of our ponds; but what signifies the beauty of nature when men are base? We walk to lakes to see our serenity reflected in them; when we are not serene, we go not to them. Who can be serene in a country where both the rulers and the ruled are without principle? The remembrance of my country spoils my walk. My thoughts are murder to the State, and involuntarily go plotting against her.(2) But it chanced the other day that I scented a white water-lily, and a season I had waited for had arrived. It is the emblem of purity. It bursts up so pure and fair to the eye, and so sweet to the scent, as if to show us what purity and sweetness reside in, and can be extracted from, the slime and muck of earth. I think I have plucked the first one that has opened for a mile. What confirmation of our hopes is in the fragrance of this flower! I shall not so soon despair of the world for it, notwithstanding slavery, and the cowardice and want of principle of Northern men. It suggests what kind of laws have prevailed longest and widest, and still prevail, and that the time may come when man's deeds will smell as sweet. Such is the odor which the plant emits. If Nature can compound this fragrance still annually, I shall believe her still young and full of vigor, her integrity and genius unimpaired, and that there is virtue even in man, too, who is fitted to perceive and love it. It reminds me that Nature has been partner to no Missouri Compromise. I scent no compromise in the fragrance of the water-lily. It is not a Nymphoea Douglasii.2 In it, the sweet, and pure, and innocent are wholly sundered from the obscene and baleful. I do not scent in this the time-serving irresolution of a Massachusetts Governor, nor of a Boston Mayor. So behave that the odor of your actions may enhance the general sweetness of the atmosphere, that when we behold or scent a flower, we may not be reminded how inconsistent your deeds are with it; for all odor is but one form of advertisement of a moral quality, and if fair actions had not been performed, the lily would not smell sweet. The foul slime stands for the sloth and vice of man, the decay of humanity; the fragrant flower that springs from it, for the purity and courage which are immortal.(3) Slavery and servility have produced no sweet-scented flower annually, to charm the senses of men, for they have no real life: they are merely a decaying and a death, offensive to all healthy nostrils. We do not complain that they live, but that they do not get buried. Let the living bury them: even they are good for manure.1The Fugitive Slave Act was passed by the United States Congress in 1850. It required that all escaped slaves were returned to their masters even if they were discovered in a free state. Assisting or helping hide fugitive slaves became a federal offense with prison time and fines.2A reference to Senator Stephen A. Douglas, the primary author of the Compromise of 1850, which included the Fugitive Slave Act. A water lily's botanical name is Nymphaea odorata.One function of the sentences It reminds me that Nature has been partner to no Missouri Compromise. I scent no compromise in the fragrance of the water-lily. It is not a Nymphoea Douglasii and of footnote two is toA) use imagery to describe a species of flower only found in the SouthB) allude to the offensive odor of the senator's actions in a clever wayC) provide an example of a politician who stands for freedom and hopeD) clarify the complex relationship between humanity and nature Ike pushes Joan, who falls and breaks her arm. Ike is liable for the injurya. if Ike intended to push Joan.b. only if Ike did not intend to break Joan's arm.c. only if Ike had a bad motive for pushing Joan.d. only if Ike intended to break Joan's arm. The data below shows the orders that were placed at a local paint shop. 1 2 3 4 Paint orders 5 6 Gallons 7 8 9 10 Solve for the MEAN of this data set. If needed, round to the nearest tenth. Find all the solutions to z^4 = -4 in complex numbers.The complex numbers should be a+bi, where a and b are real