What is the ones digit in the number 3^20997

What Is The Ones Digit In The Number 3^20997

Answers

Answer 1

Answer:

7

Step-by-step explanation:

3^0 = 1

3^1 = 3

3^2 = 9

3^3 = 27

3^4 = 81

3^5 = 243

3^6 = 729

3^7 = 2187

3^8 = 6581

===========

You can see that the pattern is beginning to repeat itself.

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

So all you need do is take 2099 and divide by 3. You must pay attention to the remainder.

2099 / 4 = 524.75

The answer means that you go through the cycle 524 times getting 1,3,9,7,1 as the units digit.

In this case the remainder is 0.75 which is the same as 3/4. The remainder then is 3

If there is no remainder, the ending is a one.

if there is a remainder of 1 the answer is 3

If there is a 2 remainder, the number ends in 9

If there is a 3 remainder, the number ends in 7

And that's your answer.


Related Questions

Laura purchased two puppies from a
litter. One of the puppies weighs 4 5/6 pounds.
.
and the other puppy weighs 5 1/2 pounds.
How much more does the second puppy
weigh than the first?

Answers

1 3/4 pounds then the other puppy does

How can you prove that a conjecture is false?

Answers

Answer:

In mathematics, counterexamples are often used to prove the boundaries of possible theorems. By using counterexamples to show that certain conjectures are false, mathematical researchers avoid going down blind alleys and learn how to modify conjectures to produce provable theorems.

Step-by-step explanation:

PLEASE SOMEONE HELP
I WILL GIVE 25 POINTS JUST PLEASE HELP

Answers

Answer:

50) 8, 16, 24, 32, 40, 48 (count by 8’s)

12, 24, 36, 48, 60, 72 (Count by 12’s)

Common Multiples: 24, 48

Least Common Multiple: 24

51) 7:  7, 14, 21, 28, 35, 42

11:  11, 22, 33, 44, 55, 66

Common Multiples: none

Least Common Multiple: none

52) 25:  25, 50, 75, 100, 125, 150

10:  10, 20, 30, 40, 50, 60

Common Multiples: 50

Least Common Multiple: 50

53) 24:  24, 48, 72, 96, 120, 144

36:  36, 72, 108, 144, 180, 216

Common Multiples: 72, 144

Least Common Multiple: 72

Step-by-step explanation:

50) 8, 16, 24, 32, 40, 48 (count by 8’s)

12, 24, 36, 48, 60, 72 (Count by 12’s)

Common Multiples: 24, 48

Least Common Multiple: 24

51) 7:  7, 14, 21, 28, 35, 42

11:  11, 22, 33, 44, 55, 66

Common Multiples: none

Least Common Multiple: none

52) 25:  25, 50, 75, 100, 125, 150

10:  10, 20, 30, 40, 50, 60

Common Multiples: 50

Least Common Multiple: 50

53) 24:  24, 48, 72, 96, 120, 144

36:  36, 72, 108, 144, 180, 216

Common Multiples: 72, 144

Least Common Multiple: 72

-170=5(8n+6)
Help please !!

Answers

Answer:

Step-by-step explanation:

40n + 30 = -170

40n + 30 = -170

40n = -200

n = -5

What is another way to name plane T?

Answers

Answer:

plane EHV

Step-by-step explanation:

To find the other name of plane T, we have to find any three non-collinear points on the plane T.

It means we have to find any three points which lie on the plane T but in a single straight line.

From the given figure it is clear that points E, H and V lie on plane T and they are not collinear.

Therefore, the other name of plane T is plane EHV.

Note: There are many other possible names of plane T, EHV is one of them.

A number close to an exact form is called?

Answers

Answer:

estimate or approximate number

Step-by-step explanation:

trust

3 Question
Simplify this expression:
4(1 - 25) + 70 - 10.
Type the correct answer in the box

Answers

Answer: -36

Explanation:

4(1 - 25) + 70 - 10
= 4 - 100 + 60
= -100 + 64
= -36

Answer:

-36

Step-by-step explanation:

4(1 - 25) + 70 - 10

PEMDAS

Parentheses first

4( -24) + 70 -10

Then multiply and divide

-96 + 70-10

Then add and subtract

-36

A hot air balloon starts at a height of 6 feet above the ground and then rises at a rate of 20 feet each minute. Which equation gives the height h in feet as a function of time t in minutes? Oh=6t Oh = 20$ Oh=20t + 6 Oh=6+ 20​

Answers

Answer:

The height h it will travel in t minutes

Height h = 6 + 20(t)

Oh=20t + 6

Step-by-step explanation:

A hot air balloon starts at a height of 6 feet above the ground and then rises at a rate of 20 feet each minute.

Initial height h0 = 6 feet

Then it travel 29 feet each minute

Rate = 20 feet/ minute

The height h it will travel in t minutes

Height h = 6 + 20(t)

A formula to find the frequency, f, of a cyclic phenomena based on the period, T, is
f = . Solve the formula for T' in terms of f.

Answers

Step-by-step explanation:

The frequency and the time period is related by the formula as follows :

[tex]f=\dfrac{1}{T}[/tex]

Here, f is frequency and T is time period

Now, we need to solve T in terms of f.

Firstly, cross multiplying the above equation,

[tex]f\times T=1[/tex]

Now dividing both sides by T.

[tex]\dfrac{f\times T}{T}=\dfrac{1}{T}\\\\f=\dfrac{1}{T}[/tex]

Hence, this is the required solution.

Answer:

T= 1/f

Step-by-step explanation:

T= one OVER f

The angled lines used to indicate the surfaces which are cut by the imaginary cutting-plane are called:

Answers

Answer:

Section lines

Step-by-step explanation:

Sectioning is the process of cutting a surface by an imaginary plane, the view of the surface that is cut is shown in the section view.

Section lines are used to indicate where an imaginary cutting plane cuts a material. The imaginary cut is then represented using section lines which are usually thin, crosshatched.

Section lines shows the surface that have been cut by the cutting plane. There are different ways of sectioning such as full section, half section, off set section and so on

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60?

Answers

Hey There!! ☄️ The general vertex to The general vertex form is this:

v(x) = a (x-h)2 + k

where (h,k) is the coordinates of the of vertex.

and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:

The graph is reflected over the x-axis

The graph is made narrower.

The graph is shifted 6 units to the left.

The graph is shifted 48 units up.

From the choices we only have:

The graph of f(x) = x2 is made narrower

The graph of f(x) = x2 is made narrower.

It is given that f(x) = x2 and  g(x) = –3x2 – 36x – 60.

To find the transformations applied to the graph.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The general vertex to The general vertex form is this:

v(x) = a (x-h)2 + k

where (h,k) is the coordinates of the of vertex.

Indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:

The graph is reflected over the x-axis.

The graph is shifted 6 units to the left.

The graph is shifted 48 units up.

From the choices we only have:

So, the graph of f(x) = x2 is made narrower.

Learn more about graph here:

https://brainly.com/question/17259605

#SPJ5

Which of the following graphs represent a function?

Graph A
Graph B
Graph
Graph
a. Graph A and Graph C
b. Graph A
C. Graph D
D. graph b and d

Answers

The graphs that represent functions are given as follows:

a. Graph A and Graph C.

When does a graph represents a function?

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

For this problem, we have that:

Graph B has one vertically aligned point, hence it is not a function.Graph D has multiple vertically aligned points, hence it is also not a function.

Hence the graphs that represent functions are given as follows:

a. Graph A and Graph C.

More can be learned about graphs and functions at https://brainly.com/question/12463448

#SPJ1

Answer: The only graphs that classify as function are Graph A and Graph C, so the answer is C. It's not possible for B and D to be functions.

The value, V(m), of a comic book m must be months after publication has an average rate of change of -0.04 between m=36 and m=60. Which statement must be true?

A) The value of the comic book decreased by a total of $0.04 between m=36 and m=60

B) The value of the comic book increased by a total of $0.04 between m=36 and m=60

C) The value of the comic book decreased by an average of $0.04 each month between m=36 and m=60

D) The value of the comic book increased by an average of $0.04 each month between m=36 and m=60

Answers

Answer:

A

Step-by-step explanation:

The average is over the months not added each month

Which property is illustrated by the equation –8 + 8 = 0?
additive inverse
additive identity
commutative property
distributive property

Answers

The property additive inverse is illustrated in this equation.

If P is between L and A, PL = x+4, PA = 2x - 1, and LA = 5x - 3, then x = ____ and LA = ____. PLEASE HURRY

Answers

Answer:12

Step-by-step explanation:

La= LP + PA

5x-3=x+4+2x-1 Combine like terms.

5x-3=3x+3 Combine like terms

2x-3=3 Combine 3 and 3 ( Add)

2x=6 Divide by 2

X=3

LA=5x-3

5(3)-3 Multiply 5 and 3

15-3

LA=12

Round the following number to the nearest hundred

123,456

Answers

Answer:

Hey!

Your answer is 123,500!

Step-by-step explanation:

TO ROUND TO THE NEAREST HUNDRED we need to look at the TENS column...

IN THIS CASE WE LOOK AT '5'...

If its bigger than 4 INCREASE THE DIGIT IN THE HUNDREDS PLACE BY ONE

If its smaller than 5 DECREASE THE DIGIT IN THE HUNDREDS PLACE BY ONE!

So as 5 is a digit that makes us ROUND UP...we change 4 to a 5 to have 123,500 as our answer!

HOPE THIS HELPS!

www.g Suppose that 59% of people own dogs. If you pick two people at random, what is the probability that they both own a dog

Answers

Answer:

The value is  [tex]P(O) = 0.3481[/tex]

Step-by-step explanation:

From the question we are told that  

   The  proportion of people that own a dog is [tex]p = 0.59[/tex]

   

Generally the probability of the two selected people owning a dog is mathematically evaluated as

      [tex]P(O) = p^2[/tex]

      [tex]P(O) = (0.59 )^2[/tex]

      [tex]P(O) = 0.3481[/tex]

Antonio purchased adult and child tickets for the fair. Tickets cost $29.35 for each adult and $17.45 for each child. Let x represent the number of adult tickets purchased and y represent the number of child tickets purchased. Write an expression to represent the total cost of the tickets Antonio purchased

Answers

Answer:

The answer is B: $29.35x + $17.45y

The water level as a river recedes after a flood is measured at regular intervals, and its height relative to normal, in inches, follows the sequence below. If the sequence continues, what do you expect the 7th measurement to be? 16, 9, 2, –5, ...,

Answers

Answer:

7th measurement = -26

Step-by-step explanation:

The sequence is 16, 9, 2, –5, ...,

First term( a)= 16

Second term=9

Common difference (d) = 9-16

Common difference= -7

The sequence is a arithmetic progression

For AP's ,the terms formula is

Term(n) = a + (n-1)d

Where n represent the term to be found

In this case,we Are looking for the 7th term , so n= 7

Term(7) = 16+ (7-1)-7

Term(7)= 16 +6(-7).

Term (7) = 16-42

Term(7) = -26

7th term =-26

the number of real solutions to the quadratic equ
5a² + 30a + 45 = 0

Answers

The answer is 1.

There is one unique real solution, which is x = -3.

Hello, please consider the following.

[tex]5a^2+30a+45 = 0\\\\<=> 5(a^2+6a+9)=0\\\\<=> a^2+6a+9=0\\\\<=> a^2+2*3*a+3^2=(a+3)^2=0\\\\<=>\boxed{a=-3}[/tex]

Thank you

Answer:

two equal, real solutions

Step-by-step explanation:

The quickest way to determine this is to find the discriminant b^2 - 4ac.  If this determinant (D) is > 0, the quadratic has two different real roots; if + 0, the quadratic has two equal real roots, and if < 0, the quadratic has two imaginary or complex roots.

Here a = 5, b = 30 and c = 45.  The discriminant is

30^2 - 4(5)(45)  =  900 - 900 = 0

and so this quadratic has two equal, real solutions.

1 kilometre is how much miles​

Answers

Answer:

1 kilometre is 0.621 mile

Answer:

1 Kilometer = 0.621 mile

Step-by-step explanation:

The distance d in miles (mi) is equal to the distance d in kilometers (km) divided by 1.609344

Logan wants to have $130,000 to pay for a surgery on his retractable forearm claws in 30 months. If he can invest money in an account right now that will give him 7.5% interest compounded monthly, how much would he have to
invest now to end up with the amount needed for the surgery later on?

Answers

Answer: $107,836.69 or about $107,837 (to the nearest dollar)

Step-by-step explanation:

Formula to the  accumulated amount received after investing principal amount (P) at rate of interest (r) compounded monthly for t months :

[tex]A=P(1+\dfrac{r}{12})^{t}[/tex]

As per given , A = $130,000

r= 7.5% = 0.075

t= 30 months

Now,

[tex]130000=P(1+\dfrac{0.075}{12})^{30}\\\\\Rightarrow 130000=P(1+0.00625)^{30}\\\\\Rightarrow 130000=P(1.00625)^{30}\\\\\Rightarrow 130000=P \times1.20552661036\\\\\Rightarrow\ P=\dfrac{130000}{1.2055266}=107,836.69[/tex]

Hence he need to invest $107,836.69 .

Could anyone help me with this?

Answers

Answer:

x = 17

KNM = 131

Step-by-step explanation:

(8x - 5) + (4x - 19) = 180

12x - 24 = 180

12x = 204

x = 17

Answer:

x = 17

Step-by-step explanation:

Opposite Angles must be the Same Value so In other words, 2(8x - 5) + 2(4x - 19) = 360.

2(8x - 5) + 2(4x - 19) = 360

24x - 48 = 360

24x = 408

x = 17

The first significant digit in any number must be​ 1, 2,​ 3, 4,​5, 6,​ 7, 8, or 9. It was discovered that first digits do not occur with equal frequency. Probabilities of occurrence to the first digit in a number are shown in the accompanying table. The probability distribution is now known as​ Benford's Law. For​example, the following distribution represents the first digits in 187 allegedly fraudulent checks written to a bogus company by an employee attempting to embezzle funds from his employer.
a.) Using the level of significance alpha 0.10​, test whether the first digits in the allegedly fraudulent checks obey​Benford's Law. What is the null​ hypothesis?
b.) What is the alternative​ hypothesis?
c.) What is the test statistic?
d.) What is the p-value?
e.) Using the​ P-value approach, compare the​ P-value with the given alpha = 0.10, level of significance. Based on the​results, do the first digits obey the​ Benford's Law?
f.) (b) Based on the results of part (a)​,could one think that the employee is guilty of​ embezzlement?
Digit Probability Frequency
1 0.301 36
2 0.176 25
3 0.125 28
4 0.097 26
5 0.079 23
6 0.067 17
7 0.058 9
8 0.051 16
9 0.046 7

Answers

Answer:

We fail to reject the null hypothesis

Step-by-step explanation:

See the attachment for detailed calculations

3. Represent each addend with number disks in the place value chart. Show the composition of larger units
from 10 smaller units. Write the sum in standard form.
a.
4 thousands + 11 hundreds =
:51 100
tens
ones
hundred
thousands
thousands
hundreds
ten
thousands
millions
O
b. 24 ten thousands + 11 thousands=_ 25 11000
hundreds
tens
ones
millions
hundred
thousands
thousands
ten
thousands
25
o
O

Answers

Answer:

  4(1000) +11(100) + 24(10,000) +11(1000) = 256,100

Step-by-step explanation:

Maybe you want to add 4000 +1100 to 24(10,000) +11,000.

1 thousand = 10 hundreds, so 4000 = 40 hundreds

  4000 +1100 = (40 +11) hundreds = 51 hundreds

__

1 ten-thousand = 10 thousands, so 24(10,000) = 240 thousands

  24(10,000) +11,000 = (240 +11) thousands = 251 thousands

__

So, we want to add 251,000 and 51 hundreds. The latter can be considered to be 5000 +100, so we have ...

  251,000 +5100 = 251,000 +5,100 = (251 +5) thousands + 1 hundred

  = 256,100


Write 927 as a mathematical expression in expanded form.​

Answers

Answer:

900   + 20 + 7

 

Answer:

[tex]900+20+7[/tex]

Step-by-step explanation:

Write 927 as a mathematical expression in expanded form.

So we see the number 927. It has hundreds, tens, ones. So the only thing we have to do it separate the number by hundreds, tens, ones. So now, let's start!

Hundreds: [tex]900[/tex]

Tens: [tex]20[/tex]

Ones: [tex]7[/tex]

We have 900, 20, and 7. Let's try adding them up to make 927.

[tex]900+20+7[/tex]

[tex]=927[/tex]

This is how we do 927 in expanded form.

Hope this Helps!

Estimate the mean of the age of the people in group A

Answers

Answer:

48

Step-by-step explanation:

The ages are 18,28,38,48,58,68,78 I don't use 88 bacause the graph don't show any data so there is 88 years old

now lets find the mean

18+28+38+48+58+68+78= 336= 48

7 7

so the mean of the age is 48

i hope u like it

Solve each equation. Check your solutions.
15. 27 - 31 = 29

Answers

Answer:

y=16, -13

Step-by-step explanation:

The absolute value operator makes all negative numbers positive. So y has two values in this equation: one where (2y-3)=29 and one where it =-29.

Work is in the attachment.

The sum of a number and three is six less than twice that number

Answers

Answer:

Algebraic expression = x+3=2x-6

Step-by-step explanation:

Let the unknown number be x ;

[tex]x+3 =2x-6[/tex]

Further explanation

[tex]x+3=2x-6\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}x+3-3=2x-6-3\\\\Simplify\\x=2x-9\\\\Collect\:like\:terms\\x-2x =-9\\\\Simplify\\-x =-9\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\frac{-x}{-1}=\frac{-9}{-1}\\\\x =9[/tex]

please halp with this step by step to further understand thank you!

. . . . . . plssssss

Answers

You will need to use the pythagorean theorem for this problem.
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