dimetri says that a function that is made of terms where the variable is raised only to an odd power will be an odd function. do you agree with dimetr

Answers

Answer 1

The given function is not the odd function.

According to the statement

We have to find about the odd function.

So, For this purpose, we know that the

The odd function is that the function f is odd if the subsequent equation holds for all x and −x within the domain of f : −f(x)=f(−x) − f ( x ) = f ( − x ) Geometrically, the graph of an odd function has rotational symmetry with relevance the origin, meaning that its graph remains unchanged after a rotation of 180∘ about the origin.

From the given information:

dimetri says that a function that's fabricated from terms where the variable is raised only to an odd power are going to be an odd function

Then

Algebraically, an odd function is one where f(-x) = -f(x). this suggests that if we substitute -x for each x within the function, it should be the identical as switching every sign up the function. This doesn't always work.

For example, if f(x)=x³+7:

f(-x)=(-x)³+7=-x³+7.

However, since the 7 did not become -7, it is not the same as -f(x), so it is not an odd function.

So, The given function is not the odd function.

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Related Questions

I need help with how to do the vertical line test on a graph, I forgot.

Answers

Answer: To graph a vertical line that goes through a given point, first plot that point. Then draw a straight line up and down that goes through the point, and you're done!

Step-by-step explanation: pls give brainliest

water main construction a water main is to be constructed with a 20% grade in the north direction and a 10% grade in the east direction. determine the angle θ required in the water main for the turn from north to east.

Answers

The value of the angle θ required in the water main for the turn from north to east is 87.40°.

According to the statement

We have to find that the value of the angle.

So, For this purpose, we know that the

An angle is created when two straight lines or rays meet at a standard endpoint.

From the given information:

a main is to be constructed with a 20% grade within the north direction and a tenth grade within the east direction.

Then

Let n = North

and e = east

Then

using vectors,

n =  j + 0.20 k

e = i + 0.25 k

And the

n · e = 1x0 + 0x1 + 0.20×0.25 = 0.05

Now take magnitude then

|n|·|e| = i(1² + 0.20²)·i(1²+0.25²) = 1.105

Now,

E° = arccos((n · e)/|n|·|e|)

E° = arccos(0.05/1.105)

E° = arccos (0.0452)

E° = 87.40°

So, The value of the angle θ required in the water main for the turn from north to east is 87.40°.

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What is the equation of the given line?


y = 5

x = 3

x = 1

y = 3

Answers

Answer:

y=x+2

Step-by-step explanation:

use the formula y=mx+c

first u find m which is the gradient 3-1/5-3 = 2/2=1

sub in any point to find the c

5=1(3)+c

c=2

y=1x+2

Can someone please help mee (20 points
brainliest!!!)

Answers

Answer:

16,300,000 viewers

Step-by-step explanation:

We have two ordered pairs and we can write an equation in the slope intercept form of the line from the information that we have.

y = mx + b  y is the number of viewers and x in the number of minutes of ads.

m is the slope.  That is the change in y over the change in x.  We will use the two points given to find this.

(14, 10,000,000) (25, 17,000,000)  

slope:

[tex]\frac{y{1}- y{2} }{x_{1}-x_{2} }[/tex] = [tex]\frac{17,000,000 - 10,000,000}{25-15}[/tex] =[tex]\frac{7,000,000}{10}[/tex] = 700,000

Now we need the b or the y-intercept.  We will use the slope and one of the points to find this.  We could use either point. I am going to use the point (15, 10,000,000)

y = mx + b

I will use 10,000,000 for y

I will use 15 for x

I will use 700,000 for the slope.

I will plug these numbers in and solve for b

10,000,000 = 700,000(15) + b

10,000,000 = 10,500,000 + b  Subtract 10,500,000 from both sides

-500,000 = b

Now we can write the equation

y = mx + b

y = 700,000x -500,000 Plug is the 24  for x to solve for the number of views.

y = 700,000(24) -500,000

y = 16,800,000 - 500,000

y = 16,300,000

What is the slope of the line that passes through the points (-7, -2) and
(-2, -22)? Write your answer in simplest form.

Answers

Answer:

m = -4

Step-by-step explanation:

We are given the points (-7, -2) and (-2, -22), and we want to write the slope of the line.

The slope (m) can be calculated from two points using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.

We already have everything we need to calculate the slope, however, let's label their values to help avoid any confusion and mistakes for later.

[tex]x_1=-7\\y_1=-2\\x_2=-2\\y_2=-22[/tex]

Now, substitute these values into the formula. Remember that the formula has subtraction, and we're dealing with negative numbers here.

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-22--2}{-2--7}[/tex]

Simplify.

m=[tex]\frac{-22+2}{-2+7}[/tex]

Add.

m=[tex]\frac{-20}{5}[/tex]

Divide.

m = -4

The slope of the line is -4.

Topic: slope

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Please help - thanks
Insert parentheses in the appropriate places:

8+ 3-2 ×9 =17
28 ÷ 4+3 × 4+3 =28
5× 3+2 ×6 ÷3 =50
6× 9-4 +3-3 ×4=30
5 ×3+2× 6÷3 =19
5× 3+2×6 ÷3 =25

Answers

1. The correct arithmetic operation with parentheses is 8 + (3 - 2) × 9 = 17

2. The correct arithmetic operation with parentheses is 28 ÷ (4 + 3) × (4 + 3) = 28

3. The correct arithmetic operation with parentheses is  5 × (3 + 2) × 6 ÷ 3

4. The correct arithmetic operation with parentheses is 6 × (9 - 4) + (3 - 3) × 4

5. The correct arithmetic operation with parentheses is (5 × 3) + (2 × 6) ÷ 3 = 19

6. the correct arithmetic operation with parentheses is 5 × [3 + 2 × (6 ÷ 3)] = 35

What are arithmetic operations?

Arithmetic operations are mathematical operations that involve multiplication, division , addition and subtraction.

Arithmetic operations follow the rule of BODMAS where

B represents brackets, O represents orders of powers or roots, D represents division, M represents multiplication,A represents addition and S represents subtraction

How to insert parentheses in the appropriate places:

1. How to insert parentheses in the appropriate places in 8 + 3 - 2 × 9 = 17

Since the expression evaluates to 17, we put a parentheses between 3 and - 2. So,

8 + (3 - 2) × 9 = 8 + 1 × 9

= 8 + 9

= 17

So, the correct arithmetic operation with parentheses is 8 + (3 - 2) × 9 = 17

2. How to insert parentheses in the appropriate places in 28 ÷ 4 + 3 × 4 + 3 = 28

Since the expression evaluates to 28, we a parentheses between 4 and + 3. So,

28 ÷ 4 + 3 × 4 + 3 = 28 ÷ (4 + 3) × (4 + 3)

= 28 ÷ 7 × (4 + 3)

= 4  × 7

= 28

So, the correct arithmetic operation with parentheses is 28 ÷ (4 + 3) × (4 + 3) = 28

3. How to insert parentheses in the appropriate places in 5 × 3 + 2 × 6 ÷ 3 = 50

Since the expression evaluates to 50, we put a parentheses between 3 and + 2. So,

5 × 3 + 2 × 6 ÷ 3 = 5 × (3 + 2) × 6 ÷ 3

= 5 × 5 × 2

= 50

So, the correct arithmetic operation with parentheses is  5 × (3 + 2) × 6 ÷ 3

4. How to insert parentheses in the appropriate places in 6 × 9 - 4 + 3 - 3 × 4 = 30

Since the expression evaluates to 30, we put a parentheses between 9 - 4 and 3 - 3. So,

6 × 9 - 4 + 3 - 3 × 4 = 6 × (9 - 4) + (3 - 3) × 4

= 6 × 5 + 0 × 4

= 30 + 0

= 30

So, the correct arithmetic operation with parentheses is 6 × (9 - 4) + (3 - 3) × 4

5. How to insert parentheses in the appropriate places in 5 × 3 + 2 × 6 ÷ 3 = 19

Since the expression evaluates to 19, we put a parentheses between 2 and 6, and also 5 and 3. So,

5 × 3 + 2 × 6 ÷ 3 = (5 × 3) + (2 × 6) ÷ 3

= 15 + 12 ÷ 3

= 15 + 4

= 19

So, the correct arithmetic operation with parentheses is (5 × 3) + (2 × 6) ÷ 3 = 19

6. How to insert parentheses in the appropriate places in 5 × 3 + 2 × 6 ÷ 3 = 35

Since the expression evaluates to 35, we put a parentheses between 6 and 3 and also both 3's. So,

5 × 3 + 2 × 6 ÷ 3 = 5 × [3 + 2 × (6 ÷ 3)]

= 5 × [3 + 2 × 2]

= 5 × [3 + 4]

=  5 × 7

= 35

So, the correct arithmetic operation with parentheses is 5 × [3 + 2 × (6 ÷ 3)]  = 35

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what are the probabilities that the three subsystems, as well as the entire system, are operational?

Answers

Three subsystems are reliability-wise in series and make up a system. Subsystem 1 has a reliability of 99.5%, subsystem 2 has a reliability of 98.7% and subsystem 3 has a reliability of 97.3% for a mission of 100 hours.

We suppose that the system consists of one operating series subsystem, an identical stand-by subsystem, and a switch. Each subsystem consists of N components.

When the operating subsystem fails, the spare is put in motion by the switch immediately. The failed subsystem is restoring or changing the failed component. Because of the memoryless property of the exponential distribution of components lifetime, the renewal of a failed element means the renewal of the whole subsystem. We assume that there is a single repair facility. A renewal time is a random variable having distribution depending on a failed component. We suppose that the lengths of restoring periods of components are represented by identical copies of nonnegative random variables.

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What is the frozen food example of the free market and exit concept?

Answers

Answer:  Food is Food

Step-by-step explanation:

Kylie is training for an upcoming marathon and has committed to running
more than 21 miles today. If she runs from her house, she can run along two
loops: a short path that is 3 miles in length, and a long path that is 6 miles in
length. Select the inequality in standard form that describes this situation. (x
= the number of loops on the short path, y = the number of loops on the long
path).

Answers

Answer: 3x+6y > 21

Step-by-step explanation:

total distance kylie runs is the combined amount of loops from both paths. 3x represents however many loops she runs times the length of the short path. 6y represents however many loops she runs times the long path. Both of them have to add up and be greater than 21.

Ava read a total of 40 books over 5 months. If Ava has read 72 books so far, how many months has she been with her book club? Assume the relationship is directly proportional.

Answers

Answer:  9 months

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

Explanation:

She read 40 books over 5 months. This means her unit rate is 8 books per month (since 40/5 = 8)

x = number of months

(unit rate)*(number of months) = total books read

8x = 72

x = 72/8

x = 9

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

Another way to solve

(40 books)/(5 months) = (72 books)/(x months)

40/5 = 72/x

40x = 5*72 ... cross multiplying

40x = 360

x = 360/40

x = 9

5) 2(n + 5) = 20
what is the answer need immediately

Answers

N=5
the image that’s attached shows the work of how to complete this question step by step.

The probability that a bus is on time is 0.75. Sarah takes the bus to school two days a week. Calculate the probability the bus is late on each of those days

Answers

The probability the bus is late on each of those days will be 0.0625.

How to calculate the probability?

It should be noted that the probability that a bus is on time is 0.75. The probability that it's late will be:

= 1 - 0.75

= 0.25

Therefore, the probability the bus is late on each of those days will be:

= 0.25 × 0.25

= 0.0625

Therefore, the probability is 0.25.

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convert 1264 base 8 to base 10

Answers

1264₈ = 1•8³ + 2•8² + 6•8¹ + 4•8⁰

1264₈ = (2³)³ + 2•(2³)² + 3•2•2³ + 2²

1264₈ = 2⁹ + 2⁷ + 3•2⁴ + 2²

1264₈ = 512 + 128 + 3•16 + 4

1264₈ = 692

After converting the base, 1264 base 8 is equal to 692 base 10.

To convert a number from base 8 (octal) to base 10 (decimal), we need to evaluate the value of each digit in the base 8 number and then calculate the equivalent decimal value.

Given the number 1264 in base 8, we can break it down into its digits:

1 * 8³ + 2 * 8² + 6 * 8 + 4 * 1

Simplifying this expression:

1 * 512 + 2 * 64 + 6 * 8 + 4 * 1

Evaluating the multiplication:

512 + 128 + 48 + 4

Adding the products together:

692

In summary, to convert a number from base 8 to base 10, we evaluate the value of each digit by multiplying it with the corresponding power of 8, and then sum up the results. This gives us the equivalent decimal value of the number.

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Hans needs to rent a moving truck. Suppose Company A charges a rate of $40 per day and Company B charges a $60 fee plus $20 per day. for what number of days is the cost the same. Please also explain how you got the answer

Answers

Answer: x=3

Step-by-step explanation:

1. Hans needs to rent a moving truck. Suppose Company A charges $40.00 per day and Company B charges a $60.00 fee plus $20.00 per day, for what number of days is the cost the same?

Let x = # of days, since Company A charges $40/day then cost after x days = 40x

Let x = # of days, since Company B charges $20/day plus $60 fee, then cost after x days = 20x + 60

a. For what # of days is the cost the same?

   When the cost is the same => 40x = 20x + 60

                                                    40x - 20x = 60

                                                             20x = 60

                                                                 x = 60/20

                                                                 x = 3

 The cost is the same after 3 days.

 

 Checking:

$40(3)  = $20(3) + $60

$120    = $60 + $60

$120    = $120

Describe and correct the error in solving the equation below.

Answers

Answer:

86

Step-by-step explanation:

the price of a tv is £950 plus VAT at 20% .what is the total cost of the TV?

Answers

1140 is the final price.

Step-by-step explanation: 20% of 950 is 190, so add that to 950 and you get 1140

a rectangle has perimeter 24 m. express the area a of the rectangle as a function of the length, l, of one of its sides.

Answers

The Expression for the Area a of the rectangle as a function of length L is given by A(L) = 12L - L^2 .

Let,

length, L, and the width, W, are components that help determine the area, A, and the perimeter, P of the rectangle. These are given by the following equations

 A=LW

 P=2L+2W

Given,

Perimeter of the Rectangle = 24m.

We are asked to express the perimeter of the rectangle as a function of the length, L, of one of its sides.

We will first set up the equation of the Perimeter of the rectangle. We can let the width of the rectangle be W.

P = 2L+2W

24 = 2L+2W

12 = L+W

W = 12-L

Since we want to express the Area as a function of L, we have to find the value of W in terms of L. This is so we can eliminate the width in the equation for the Area. The Area as a function of L is as follows.

A(L, W) = LW

A(L) = L(12-L)

A(L) = 12L-L^2

Therefore, the Area as a function of L is given by A(L) = 12L-L^2.

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Determine the quadrant in which each angle lies -7

Answers

It lies in the quadrant IV.

Since we know that a full circle is broken into four parts known as quadrants into regions of π/2.Since quadrant  1 ranges from 0 to π/2,  quadrant 2 ranges from π/2 to π, then quadrant 3 ranges from π to 3π/2, and at last quadrant 4 ranges from 3π/2 to 2π.

And we know 2π is equal to approx  6.28 radians,  so each quadrant will have  2π/ 4 = π2  ≈1.57 radians

So for angle  -7 it will be =  −7/(π/2) ≈−4.45.

So  moving around the circle,  it appears halfway through the quadrant IV.

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y = -4.2x + 7.9 in standard form​

Answers

The equation of the line y = -4.2x + 7.9 expressed in standard form is 42x + 10y = 79.

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is written as axe + by = c, where a and b are the coefficients of the variables x and y, respectively, and c is a constant. On the other hand, we can write the equation in point-slope form, (y - y1) = m, if we know the slope m and a point on the line (x, y).

Given the equation of a line, multiply both sides by 10 to turn the decimals into integers.

y = -4.2x + 7.9

10y = 10(-4.2x + 7.9)

10y = -42x + 79

Rewriting it in standard form ax + by = c,

10y = -42x + 79

42x + 10y = 79

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-14<4x+6<18

Please break it down for me

Answers

Basically, this is a domain. Well, a condition.

It's saying that any value that you subsitute in x , which is then multiplied by 4 and added 6, must ALWAYS be greater than -14, but lesser than 18.

Given L is between N and M, NL = 6x - 5, LM = 2x + 3, and NM = 4x + 9. Determine if L is the midpoint of segment MN. Justify your answer using sound mathematical reasoning.

Answers

Answer:  L isn't the midpoint of segment MN.

Step-by-step explanation:

NL+LM=NM

6x-5+2x+3=4x+9

8x-2=4x+9

8x-2+2=4x+9+2

8x=4x+11

8x-4x=4x+11-4x

4x=11

Divide both parts of the equation by 2:

2x=5.5

NL=6x-5

NL=(2x)(3)-5

NL=(5,5)(3)-5

NL=16.5-5

NL=11.5

LM=2x+3

LM=5.5+3

LM=8.5

NL≠LM

Hence, L isn't the midpoint of segment MN.

In summary, based on the given lengths and mathematical reasoning, we have determined that point L is the midpoint of segment MN because the lengths of NL and LM are equal when x = 2.

We must compare the lengths of the two segments NL and LM and see if they are identical in order to establish whether point L is the midpoint of segment MN.

NL = 6x - 5

LM = 2x + 3

The lengths of NL and LM ought to be equal if L is the middle of segment MN. To put it another way, NL and LM ought to be equal.

Constructing the equation

6x - 5 = 2x + 3

Now, solve for x:

6x - 2x = 3 + 5

4x = 8

x = 2

As soon as we know the value of x, we can put it back into the NL and LM formulas to get their lengths at x = 2:

NL = 6x - 5 = 6 * 2 - 5 = 12 - 5 = 7

LM = 2x + 3 = 2 * 2 + 3 = 4 + 3 = 7

The lengths of NL and LM are both 7 units.

Point L is in fact the middle of segment MN because both segments NL and LM have similar lengths.

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pls solve this question step by step ​

Answers

Answer:

a) 50, b) -40, c) 3

Step-by-step explanation:

Arithmetic mean is the average of the numbers.

a) (40 + 60)/2 = 100/2 = 50

b) (- 60 - 20)/2 = - 80/2 = - 40

c) (7/3 + 11/3)/2 = (18/3)/2 = 6/2 = 3

Formula we use is,

→ Mean = (x + y)/2

a) 40 and 60 = ?

→ (40 + 60)/2

→ 100/2 = 50

Thus, the mean is 50.

b) -60 and -20 = ?

→ (-60 - 20)/2

→ -80/2 = -40

Thus, the mean is -40.

c) (7/3) and (11/3) = ?

→ ((7/3) + (11/3))/2

→ (18/3)/2

→ 6/2 = 3

Thus, the mean is 3.

based on the boxplot, the top 25 percent of the cars have a typical gas mileage of at least how many miles per gallon? 15

Answers

The number if miles per gallon is 35 miles.

How to solve the box plot.

From the information, it was stated that the box plot shows a gas mileage for twenty cars.

Therefore, based on the boxplot, the top 25 percent of the cars have a typical gas mileage of at least 35 miles per gallon.

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20796

Help me please, find area these shapes, easy, I will give brainliest and points

Answers

Answer:

red - 1/2 × b × h

=1/2 × 3 × 4

= 6

green - 1/2 × b × h

= 1/2 × 4 × 4

= 8

10. The average age of 4 boys is 14 years, when one boy leaves the group, the average age of the remaining boys becomes 15 years. How old is the 4th boy?​

Answers

Answer: the 4th boy is 11

Step-by-step explanation:

Let's denote the age of the boys as: x₁, x₂, x₃, x₄.

Then,

[tex]\displaystyle\\\frac{x_1+x_2+x_3}{3}=15[/tex]

Multiply both parts of the equation by denoting by 3:

x₁+x₂+x₃=15(3)

x₁+x₂+x₃=45

Hence,

[tex]\displaystyle\\\frac{x_1+x_2+x_3+x_4}{4} =14\\\\\frac{(x_1+x_2+x_3)+x_4}{4} =14\\\\\frac{45+x_4}{4}=14[/tex]

Multiply both parts of the equation by denoting by 4:

45+x₄=14(4)

45+x₄=56

45+x₄-45=56-45

x₄=11

x=7 y=4 HELP I WILL GIVE BRAINLIEST.

362x+836y+918334

Answers

Answer: 924212

Step-by-step explanation:

362x+836y+918334

362(7)+836(4)+918334

(362 x 7) + (836 x 4)+918334

Lily's limos charges $150 to rent a limo plus $40 an hour. ron's luxury rides charges $200 to rent a limo plus $30 an hour. at how many hours do the companies charge the same price? write and solve a single equation to prove and show at how many hours the companies charge the same price.

Answers

Upto 5 hours companies will charge at the same price.

what are comparing functions ?

Functions can be represented in a variety of ways. A function, for instance, can be depicted using an input-output table, a graph, and an equation.It's occasionally necessary to compare two functions that are represented in different ways because of an issue. You might be asked, for instance, which function is greater for a given number or which function increases more quickly after being presented with a table and a graph.

Given that :For a limo rental, Lily's limos charges $150 plus $40 per hour. For a limo rental, Ron's Luxury Rides charges $200 plus $30 per hour.

Based on the given condition ,

equation is 150 + 40x = 200 + 30x

40x - 30x = 200 - 150

10x = 200 -150

10x = 50

x =[tex]\frac{50}{10}[/tex]

x = 5

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Solve the linear system
4x +9y = -72
4x +9y = 54

This needs to be answered in x and y

Answers

Answer:

no solution

Step-by-step explanation:

4x + 9y = - 72 → (1)

4x + 9y = 54 → (2)

multiply (1) by - 1

- 4x - 9y = 72 → (3)

add (2) and (3) term by term

0 + 0 = 126 , that is

0 = 126 ← not possible

This indicates the system has no solution

PLEASE ANSWER QUICK

Evaluate the expression when n = 3:

−|−4n|

Answers

Answer:

12

Step-by-step explanation:

-4 X 3 =-12

=-(-12)

=12

What is the value of the digit 7 in the population of Memphis? What is the value of the digit 1 in the population of Denver? How many times as great as the value of the digit 1 in the population of Cleveland in this value?

PLSS HELP IT WILL MAKE ME FAIL

Answers

The number of times that the value of the digit 1 in the population of Cleveland in this value is 10.

How to illustrate the information?

Based on the information, it should be noted 7 is in ten thousand place for Memphis. This means that it represents 70000.

It should be noted the 1 in Denver is in the same place. It represents 10000. On Cleveland, this is 1000.

Therefore, the number of times will be:

= 10000 / 1000

= 10

Therefore, the correct option is 10.

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Cleveland population 431,369 Denver population 610,345

Memphis population 676,640 What is the value of the digit 7 in the population of Memphis? What is the value of the digit 1 in the population of Denve?How many times as great the value of the digit 1 in the population of Cleveland is this value?

Other Questions
Where does energy in the sugar molecules made by photosynthesis come from? eric shotwell borrows $24,600 from a certain bank. the interest charge amounts to $8,628. what equal monthly payments (in $) must eric make in order to pay back the loan, with interest, in 36 months? THE LATIN AMERICAN ELITES OF THE NINETEENTH CENTURY IN FACE OF THE FEAR THEY MAINTAINED OF A REVOLUTION DECIDED NOT TO GRANT THE?A. ABOLISHMENT OF SLAVERYB. ELIMINATION OF SAFEGUARDSC. CITIZENSHIPD. TRADE UNIONIST IDEASJUSTIFY ANSWERSLAS ELITES LATINOAMERICANAS DEL SIGLO XIX ANTE EL TEMOR QUE MANTENIAN DE UNA REVOLUCION DECIDIERON NO OTORGAR LA?A. ABOLACION DE LA ESCLAVITUDB. ELIMINACION DE LOS RESGUARDOS C. CIUDADANIA D. IDEAS SINDICALISTASJUSTIFICAR RESPUESTA Why does a guide usually use the method ofquestion-and-answer introduction? in year 2, the firm collected $650,000 from clients while performing $400,000 of services for them. the $30,000 that had been paid in advance during year 1 the degree to which employees are fully involved in their work combined with the strength of their commitment to their jobs and company is called Ana compra en la tienda 15/20 gramos de jamon y 15/20 gramos de queso y quiere saber a cuanto equivale en decimales the mass of a golf ball is 45.9 g . if it leaves the tee with a speed of 72.0 m/s , what is its corresponding wavelength? express your answer with the appropriate units. PromptWrite a short script (1520 lines) that creates an imagined scene between two or three characters. The scene should show a universal theme, such as "friends help and defend each other or "fights can last a long time. Be sure to set the mood of your scene by using stage directions to show how characters should interact with one another. Let f(x) = x3 + 10, g(x) = x2 - 8, and h(x) = 5x + 4. Find the rule for the function. PUNTOS Write the equation of the line parallel to y = -1/3x + 4 and passing through the point (-6, -9). Be sure to write your answer in slope-intercept form(y=mx+b) supplier relationship management is the process that focuses on everything that happens after contracting suppliers the diameter of a hydrogen atom is about 1.05 cross times 10 to the power of negative 10 end exponentmeters. a protein molecule has an overall length of 3000 times (or 3 cross times 10 cubed times) the diameter of a hydrogen atom Write an interpretive essay that analyzes literature from the perspective of a quotation. In your essay, interpret the quotation and explainhow it applies to literature you have read. Support your viewpoint with evidence from a variety of literary texts that you have read Includeprecise language and literary terms.*That's what literature is. It's iSthe people who went before us, tapping out messages from the past, from beyond the grave, trying to tell usabout life and death! Listen to them!" Epithelial cells that are adapted for absorption usually have ________ at their free surface. a consumer faces a tradeoff between labor (????) and leisure (????). she consumes a composite good (????). when the consumer works, she earns an hourly wage of $17.00, and she spends a maximum of 24 hours on labor and leisure, but she chooses to work 6.00 hours. whatever time she does not spend working, she spends on leisure. she starts with an initial endowment of 18.00 units of the composite good, which she can buy and sell freely at a market price of $11.00. please help with this question, thank you!! [tex] \: \: \: \: \: \: \: \: \: \: \: [/tex] Which term describes DNA sequences that code for proteins- genome- gene- regulatory sequences - non-coding regions Consider (a) an electron (b) a photon, and (c) a proton, all moving in vacuum. Choose all correct answers for each question. (ii) Which have charge?