Prove step by step that 5^20-5^19 is an even number with out using a calculator Please can you tell me the steps and why?

Answers

Answer 1

9514 1404 393

Answer:

  factor out 5^19

Step-by-step explanation:

a) Reason from parity:

  both 5^20 and 5^19 are products with only odd numbers (5) as factors. Hence each is an odd number. The difference of odd numbers is always even.

__

b) Factor:

  5^20 -5^19 = 5^19(5 -1) = 5^19×4

This product has an even factor (4), so is even.


Related Questions

Please help me thank you!!!

Answers

Answer:

1,-1,-3,3 that is your answer

You go ahead and substitute x for the x values given.
If x=1 , then y =1
If x=0, then y=-1.
If x=-1, then y=-3.
If x=-2, then y=-5.

Can anyone help me with this

Answers

Answer:

The first subscription ($29.88 for 12 issues. A .5 cent difference.

Step-by-step explanation:

29.88/12 = $2.49

15.24/6 = $2.54

The first subscription is cheaper.

Margo is selling boxes of nuts to raise money for her club. She finds that 3 out of every 7 boxes of nuts are cashews. Write a ratio to represent the number of boxes of cashews to the total number of boxes sold.

Answers

Answer:

3 : 7

Step-by-step explanation:

make sure the three of on the left

The number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other. The general form of expressing a ratio between two quantities say 'a' and 'b' is a: b

Margo finds that 3 out of every 7 boxes of nuts are cashews.

In order to calculate the ratio of two quantities, we can use the following steps

First, we must determine the quantities for both scenarios for which we are calculating the ratio. In this situation, there are three cashews and seven boxes.

Write it as a fraction, a/b. As a result, we write it as 3/7.

Therefore, the number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ5

find the slope of the line through each pair of points ( 3, 11) , (3, -10)

Answers

Answer:

undefined

Step-by-step explanation:

Since it is a vertical line and there is no run only rise.


It takes 8 minutes to fill an empty aquarium to a depth of
2/5
meters.
What is the unit rate in minutes per meter?
Write your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

Answer

0

andrew8253

Virtuoso

237 answers

42.1K people helped

Answer:

The rate is 15 minutes per meter.

Step-by-step explanation:

It takes 9 minutes to fill a depth of  meters.

Filling   meters take 9 minutes time.

Filling 3 meters of the aquarium takes  = 45 minutes time (Multiplying by 5 both the numbers).

In order to fill 1 meter of the aquarium it will take  minutes (Dividing by 3 both the numerical values).

Answer:   20 minutes per meter

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

Work Shown:

8 minutes = (2/5) meters

5*(8 minutes) = 5*( (2/5) meters )

40 minutes = 2 meters

40/2 minutes = 2/2 meters

20 minutes = 1 meter

The unit rate in minutes per meter is 20 minutes per meter.

In other words, it takes 20 minutes to raise the level 1 meter.

If triangle ABC has the following angle measurements, find the value of Angle A, Angle B, and Angle C.
∠A=4x − 17


∠B= 3x + 8


∠C= x + 13

Answers

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x - 17 + 3x + 8 + x + 13 = 180

8x + 4 = 180

8x = 176

x = 22

<A = 4x - 17

<A = 4*22 - 17

<A = 88 - 17

<A = 71

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

<B = 3x + 8

<B = 3*22 + 8

<B = 66 + 8

<B = 74

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

<C = x + 13

<C = 22 + 13

<C = 35

A B and C add to 180 as they should.

I'm sorry, that's all I can do.    No time.

find a counter example for the following statement all triangles have one 90 degree angle

Answers

This is false because you can have obtuse triangles (25-25-130) and acute (60-60-60)

The area of a rectangle a=1(w) is represented by the expression 24x6y15. If the width of the rectangle is 2x3y9, what is the length of the rectangle

Answers

Answer:

Length of rectangle is: [tex]Length=12x^3y^6[/tex]

Step-by-step explanation:

The area of rectangle = [tex]24x^6y^{15}[/tex]

Width of rectangle = [tex]2x^3y^9[/tex]

We need to find length of rectangle

The formula used is: [tex]Area=Length\times Width[/tex]

Putting values and finding length

[tex]Area=Length\times Width\\24x^6y^{15}=Length\times 2x^3y^9\\Length=\frac{24x^6y^{15}}{2x^3y^9} \\Length=12x^{6-3}y^{15-9}\\Length=12x^3y^6[/tex]

So, Length of rectangle is: [tex]Length=12x^3y^6[/tex]

omg pls help its proving the sum of the interior angle measures of a triangle is 180

Answers

Answer:

60

Step-by-step explanation:

all angles in a triangle measures 180°

THE ANSWER IS 60 that is the correct answer

uber charges a $5 pickup fee and $0.25 per mile. define variables and write an equation to model this situation.
KC yellow Cab Co. charges $1.75 for pickup and $0.75 per mile. define variables and write an equation to model this situation.
using both functions, determine which company is a better value for a 5 mile ride. show your work.

what are some real world limitations to the domain and range of both functions?​

Answers

Answer:

See below

Step-by-step explanation:

Uber$5 pickup fee$0.25 per mile

Equation

y = 0.25x + 5

Cost of 5 miles:

y = 0.25(5) + 5 = $6.25KC yellow Cab Co.$1.75 pickup fee$0.75 per mile

Equation

y = 0.75x + 1.75

Cost of 5 miles:

y = 0.75(5) + 1.75 = $5.5

Comparing the cost we see KC yellow Cab Co. is better value for a 5 mile ride.

What are the slope and y-intercept of the line 4y = -x - 32? PLEASE HELP

Answers

Answer: slope -1/4 y intercept -8

Step-by-step explanation:

In the form y = mx+b, m is the slope and b is the y-intercept. So let’s get it into this form, by getting y by itself.

4y = -x - 32

divide by 4 on every term

y = -1/4x - 8

therefore the slope is -1/4 and y intercept is -8

What is the value of x in this figure?

Answers

Answer:

65

Step-by-step:

You would do 180-48-67= 65

Robert earns $8.65 per hour mowing lawns. A) Write a rule for money m as a function of the number of hours h spent mowing lawns. B) How much does Robert earn if she works 3 hours and 25 minutes?

Answers

Answer:

A) [tex]m=8.65h[/tex]

B) $29.58

Step-by-step explanation:

Earnings per hour = $8.65

To find:

A) Write a rule for money m as a function of the number of hours h spent mowing lawns.

Earnings done in one hour = $8.65

Number of hours = [tex]h[/tex]

To find the total earnings, [tex]m[/tex] as a function of number of hours [tex]h[/tex], we need to multiply per hour earnings with number of hours [tex]h[/tex].

Therefore, the equation is:

[tex]m=8.65h[/tex]

B) How much does Robert earn if she works 3 hours and 25 minutes?

First of all, let us convert 3 hours and 25 minutes to hours.

3 hours 25 minutes = 3.42 hours

Therefore, total earnings are:

[tex]m = 8.65\times 3.42 = \$29.58[/tex]

Which equation represents the graphed function

Answers

Last one :) shshshdhdbdhd

same question again. ugh

Answers

Answer:

-3

Step-by-step explanation:

the slope is -3 because it goes down 3 y for every 1 forward on x

Answer:

[tex]m=-3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, -3)

Point (-1, 3)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{3+3}{-1-1}[/tex]Add/Subtract:               [tex]m=\frac{6}{-2}[/tex]Divide:                          [tex]m=-3[/tex]

find the slope of the line passing through each pair of points. if the slope is undefined, write undefined. (5,9) and (5,-3)

Answers

Answer:

i believe undefined

Step-by-step explanation:

Slope

m= −3−9

5−5

-12/0

If you know that 84 is 70% of the whole, how can you use proportional reasoning to determine the whole?

A: 70100 shows 70% as a ratio. The ratio 84x compares 84 to the whole, x. Write an equation so that the first ratio is equal to the second ratio. Solve for x : x = 120.

B: 70100 shows 70% as a ratio. The ratio 84x compares 84 to the whole, x. Write an equation so that the first ratio is multiplied by the second ratio. Solve for x : x = 58.8.

C: 70100 shows 70% as a ratio. The ratio x84 compares 84 to the whole, x. Write an equation so that the first ratio is multiplied by the second ratio. Solve for x : x = 120.

D: 70100 shows 70% as a ratio. The ratio x84 compares 84 to the whole, x. Write an equation so that the first ratio is equal to the second ratio. Solve for x : x = 58.8.

Answers

Answer:

A. 70/100 shows 70% as a ratio...

Step-by-step explanation?

find the midpoint of the segment with the following endpoints. (8,10) and (1,4) ?​

Answers

i believe it is (4.5, 7)

Hey guys happy holidays! any help is appreciated :)

Answers

Answer:

Nope

Step-by-step explanation:

The reason for this is that if it was rotated 180º, it would mean that the triangle was in QIII.

***And have a nice winter break!!!! ;***

After 4 hours, the number 2 is used as a factor ? Times

Answers

Answer:

2

Step-by-step explanation:

Answer: It’s 4

Step-by-step explanation:

2) Jarrah needs no less than $159 to purchase a new guitar. He already has $38 in his savings account. He
has a plan to rake and bag leaves in his neighborhood to make more money. He decides to charge $5 a
bag. What is the minimum number of full bags of leaves that Jarrah needs to rake in order to have
enough money to buy the guitar? Show your work/thinking.

Answers

Answer: Jarrah has to rake 25 bags.

Step-by-step explanation: Jarrah

Jarrah needs to get $159 dollars, right? Well since he already has $38, we just need to subtract 159 and 38. 159-38 is 121. (121 is how much heneeds  )Each bag raked costs $5, and 5 can't go into 121, so it's best to have more than less. Multiply 5 and 25, and you will get $125. That is more than enough, you cannot do 5x24 because it would be 120, which is too low. Therefore, Jarrah needs to rake 25 bags.

Help!!!!!!!!!!!!!!!!!

Answers

Here are the equations and then you solve for X

a. 2x + 42 + x - 24 = 180

Combine like terms you get

3x + 18 = 180

Now 3x = 162

X = 54

Same side interior angles

b. X+ 64 = 3x - 28

64 = 2x - 28

92 = 2x

X = 47

Alternate exterior angles

C.

6x + 5x + 15 = 180

11x + 15 = 180

11x = 165

X = 15

find a number if 0.7 of it is 3.43.

Answers

Answer : I’m thinking 2.73 .

It shouldn’t be a trick question just fake 3.43 minus .7!

The earth spins 360 degrees about its axis in 24h. How many degrees does it spin in 10h?

if I get another unreasonable answer OHFUSHASHDF

Answers

Answer:

150

Step-by-step explanation:

To find out how much it spins in one hour do 360 divided by 24= 15, and you need to find how much it spins in 10 hours so do 15 x 10=150

Answer:

150 degrees.

Step-by-step explanation: Just divide 360 by 24 then times by 10.

Which inequality correctly compares Three-fourths, One-seventh, and Five-sixths? One-seventh < Three-fourths < Five-sixths One-seventh < Five-sixths < Three-fourths Three-fourths < Five-sixths < One-seventh Three-fourths < One-seventh < Five-sixths

Answers

Answer:

The inequality which correctly compares Three-fourths, One-seventh, and Five-sixths is : One-seventh < Three-fourths < Five-sixths.

The first option is correct.

Step-by-step explanation:

To determine which inequality correctly compares Three-fourths, One-seventh, and Five-sixths, we will arrange them in ascending order.

To do this, first, we will determine the LCM of the fractions denominators..

Three-fourths, One-seventh, and Five-sixths

[tex]\frac{3}{4}, \frac{1}{7}, and \frac{5}{6}[/tex]

The denominators are 4, 7 and 6.

LCM of 4,7 and 6 is 84

Then, we will write the fractions in a form whereby they all have the same denominators.

[tex]\frac{3}{4}, \frac{1}{7}, and \frac{5}{6}[/tex]  can be written as

[tex]\frac{63}{84}, \frac{12}{84}, and \frac{70}{84}[/tex]

The resulting order of the numerators gives the order of the fractions.

Now, we will arrange [tex]\frac{63}{84}, \frac{12}{84}, and \frac{70}{84}[/tex] in ascending order. This becomes

[tex]\frac{12}{84}, \frac{63}{84},and \frac{70}{84}[/tex].

∴ The ascending order of the fractions is [tex]\frac{1}{7}, \frac{3}{4},and \frac{5}{6}[/tex].

That is, One-seventh, Three-fourths, and Five-sixths.

Hence, we can write that

One-seventh < Three-fourths < Five-sixths.

This is the inequality which correctly compares Three-fourths, One-seventh, and Five-sixths

Answer:

d

Step-by-step explanation:

What is the y-intercept of the function f(x) = -2/9x + 1/3x?

Answers

Answer:

Step-by-step explanation:

For a function, each input(x) can only have ONE output (y). Is this a function?
Il-1, 1), (-1,0),(-1,-1),(-1,-2)}

Answers

Answer C

Step-by-step explanation:

answer quick plz!
It costs $12 to attend a golf clinic with a local pro. Buckets of balls for practice during the clinic cost $3 each. How many buckets can you buy at the clinic if you have $30 to spend?

Answers

32kjsosbk oh he boo bdbsidlxbxodidbdkdbi

#13, what is my answer ?

Answers

Step-by-step explanation:

don't tell no one but you should install math.way it help so much

I really need help ​

Answers

Answer:

There is a positive correlation in the data set.

General Formulas and Concepts:

Statistics - Scatterplots

Positive Correlation - an upwards trend in the data setNegative Correlation - a downwards trend in the data setNo Correlation - an undeterminable correlation in the data set

Step-by-step explanation:

According the data set on the graph, we can see that if we draw a line of best fit, the overall data would be increasing. Therefore, we would have a positive correlation.

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