Mathematics High School

4. What are the last TWO DIGITS of 2^2017

a Explain how you found the last 2 digits of 2^2017

b. Show how you found the last 2 digits of 2^2017

4. What Are The Last TWO DIGITS Of 2^2017a Explain How You Found The Last 2 Digits Of 2^2017b. Show How

Answers

Answer 1

Compute 2²⁰¹⁷ modulo 100.

From the given table,

2²² ≡ 2⁴² ≡ 2⁶² ≡ 4 (mod 100)

and we have

2017 = 32 • 62 + 33

62 = 1 • 42 + 20

Then

2²⁰¹⁷ ≡ (2⁶²)³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ 4³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ (2²)³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ 2⁶⁴ • 2³³ (mod 100)

2²⁰¹⁷ ≡ 2⁶² • 2²² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 4² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ (2²)² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 2⁴ • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 2¹⁷ (mod 100)

and from the table, we get

2²⁰¹⁷ ≡ 2¹⁷ ≡ 72 (mod 100)

Related Questions

What is the probability that out of 125 babies born, at least 50 will be girls?
Assume that boys and girls are equally probable, and round your answer to the nearest tenth of a percent.
A. 70.4%
B. 99.0%
C. 10.5%
D. 51.2%

Answers

You're answer would be 99.0%.

how do I solve this linear inequality?
5x - 7 > 4x + 8

Answers

Step-by-step explanation:

just like an equation.

5x - 7 > 4x + 8 | -4x + 7

x > 15

and that is your result.

in contrast to an equation, an inequality delivers a range as result and not a single point.

Answer:

[tex]\huge\boxed{\sf x > 15}[/tex]

Step-by-step explanation:

5x - 7 > 4x + 8

Subtract 4x to both sides, and Add 7 to both sides

5x - 4x > 8 + 7

x > 15

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

find the slope of the line through these pair of points. (17, –6), (–11, 7)​

Answers

☆Answer : (X1, Y1) = (17, -6) (X2, Y2) = (-11, 7)

m = (Y2 - Y1)/(X2 - X1)

m = (7 - (-6))/(-11 - 17)

m = (7 + 6)/(-28)

m = 13/(-28) = -(13/28)

What function represents the next graph?

Answers

Answer:

Option 1:  y = (x - 2)² + 2

Step-by-step explanation:

Given the vertex, (2, 2), of an upward-facing parabola, and using the y-intercept of the graph, (0, 6):

Definitions:

The vertex form of the quadratic equations is:

y = a(x - h)² + k

where:

(h, k) is the vertex.

The value of h represents the horizontal translation of the graph. h > 0 represents the horizontal shift of the graph h units to the right. h < 0 shifts the graph |h | units to the left. The value of k  represents the vertical translation of the graph. k > 0 shifts the graph k units upward. k < 0 shifts the graph |k | units down.

The sign of a  determines the direction of the graph's opening. The value of a also determines the vertical stretch or shrink of the graph.

If a is positive (or a > 1), then the graph opens upward. The value of a > 1 also represents the vertical stretch of the graph.  If a is negative (or a < 0), then the graph opens down.The value of 0 < a < 1 represents the vertical shrink or compression of the graph.

Solution:

Substitute the values of the vertex (2, 2) and the y-intercept, (0, 6) into the  vertex form to solve for the value of the coefficient, a:

y = a(x - h)² + k

6 = a(0 - 2)² + 2

6 = a(-2)² + 2

6 = 4a + 2

Subtract 2 from both sides

6 - 2 = 4a + 2 - 2

4 = 4a

Divide both sides by 4 to solve for a :

[tex]\displaytext\mathsf{\frac{4}{4} \:=\frac{4a}{4}}[/tex]

a = 1

Quadratic Equation in Vertex Form:

Therefore, given the vertex, (2, 2) and a = 1, the quadratic equation in vertex form is: y = (x - 2)² + 2, thereby matching Option 1.

Can you please answer this world problem? And please don't mind the numbers on top.

Answers

Answer: 5 1/15 feet

Step-by-step explanation:

For this you have to add fractions.

First find a common denominator between the factions which can be will turn into 15.

The fraction is now: 1 10/15 + 3 6/15

Now that the denominator is the same add the fractions.

1 10/15 + 3 6/15 = 5 1/15

Make the answer negative since its under sea level

Answer = -5 1/15 feet

If 12 inches = 1 foot, and 3 feet = 1 yard, how many inches are there in 2.5 yards? step by step

Answers

if 1 yard = 3ft
2.5 yards = 7.5ft
12inch x 7.5 = 90
ANSWER: 90 inches

this is due in less the 30 minutes and this is my last question on the assignment please help and show work. will give brainliest

Answers

Answer:

22,100

Step-by-step explanation:

Answer:

the answer in 18,300

Step-by-step explanation:

2 x 3 5/8= 7 1/4

7 1/4 +1 9/10= 9 3/20

9 3/20 / 2= 18 3/10

18 3/10 x 1000=18,300

Find the set of values for which 5/x > 15

Answers

Answer:

0 < x < 1/3

Step-by-step explanation:

Hello! The answer I provided is correct, you know this because any value you can use for X that is in between 0 and 1/3 would make the inequality true.

(04.01 MC) Which set of points includes all of the solutions for y = negative four fifths times x plus two?line going through 0 comma 2 and 5 comma negative 2 Group of answer choices (15, 10), (0, 2), and (−10, 10) (−10, 10), (−5, 6), (0, 2), (5, −2), (10, −6) (x, y) for all real numbers (x, negative four fifths times x plus two) for all real numbers

Answers

The solutions of a function are the true values of the function

The solutions are: (0,2), (5,-2), (-10, 10) and (-5,6)

The function is given as:

[tex]\mathbf{y = -\frac 45 x + 2}[/tex]

From the question, we understand that the line of the equation passes through points (0,2) and (5,-2)

This means that:

(0,2) and (5,-2) are solutions of the equation

Other possible solutions include (-10, 10) and (-5,6)

This is true because, when these values are substituted in the equation, the result of the equation is true

Hence, the true options are:

(0,2), (5,-2), (-10, 10) and (-5,6)

Read more about solutions of equations at:

https://brainly.com/question/545403

PLEASE HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it's c

Step-by-step explanation:

because that looks like a good answer.

simplify 16v²÷2v²tlA​

Answers

Hello

just a second

people reading this please complete because you will help me a lot.

I am an Indian girl my name is Lamer and am 13 years old.

I Just got this new device after working at a farm for 2 years.

I used to use brainly at my friend device she had money to buy brainly plus.

I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.  

helppppppp pleaseeeee


if somebody can answer this I'll really really appreciate it

Answers

Answer:

What is the question?

Step-by-step explanation:

Still won his election by a margin of 7 to 2 his opponent had 3492 votes how many votes did Steve have
Help ASAP

Answers

Answer:

12,222 votes

Step-by-step explanation:

7 x 3492= 24,444

24,444/2= 12,222

Steve has 12,222 votes.

The chances that you will be ticketed for illegal parking on campus are about 1/3. During the last nine days, you have illegally parked every day and have NOT been ticketed (you lucky person!). Today, on the 10th day, you again decide to park illegally. The chances that you will be caught are:

Answers

2/3*9=6
6/10=3/5
3/5 chance to be caught

The required probability of getting caught on the 10th day is 3/5.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Probability of getting caught in 9 days
= [1 - 1/3]*9=6

The probability of getting on the tenth day is given as,

= 6/10
=3/5

Thus, the required probability of getting caught on the 10th day is 3/5.

Learn more about probability here:

brainly.com/question/14290572

#SPJ5

Megan spent half of her paycheck on an iPad. Over the weekend she earned $12 from babysitting. If she has $514.50 now. Write and equation and solve to find out how much was her paycheck

Answers

A: $1,005
Explanation:
514.50 = -12 + 502.50(2)
She had twice as much money before buying the iPad. 514.5 - 12 = 502.5
502.5 is half of her paycheck, so multiply by 2.

Find the equation of a line parallel to y = -5x – 10 that passes through the point
(-5,0).

Answers

Answer:

8684787

Step-by-step explanation:

4,00
.
5. Mr. Brown has $410,000 in a retirement account that earns 3.85% interest each year. Find the
amount earned each year by his investment.

Answers

Answer:

9 dollars

Step-by-step explanation:

cuz 9 dollars

Whoever answers first gets 5 stars, and a thanks. And if possible a brainliest

Answers

Answer:14.518

Step-by-step explanation:

6 less than the quotient of 4 and a number

Answers

Answer:

4/n subtracted by 6 or the third option

Step-by-step explanation:

another mathh question

Answers

where is the Question!!!

can you plz give me brainliest I really need it

Your question is incomplete.

Please if you need help I will try to help you :)

Have a Good Day.

Also need this answer. Thank you so much!!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

h(w)=2(1)+3

h(w)=2+3

h(w)=5

please give me brainliest think took some thinking

Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?

Answers

Answer:

5:4

Step-by-step explanation:

Answer:

5:4

Step-by-step explanation:

To simplify the ratio 15:12, we find the greatest common divisor of 15 and 12, and then we divide 15 and 12 by the greatest common divisor.

The greatest common divisor that you can use to simplify 15:12 is 3. Which means the answer to ratio 15:12 simplified is:

5:4

I need help please

Which value is the closest to
0.9 • 997

a. 1,000
b. 81
c. 10,000
d. 10

Answer with supporting work:

Answers

It is A. 1000

Explanation: 0.9 x 997 equals to 897.3
897.3 rounds to 900 which is close to 1000 so it is that

Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from where y is not a vowel

Answers

The vowels are A,E,I,O,U so 5 because if you add them together it’s 5

The number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080

What is the rule of product in combinatorics?

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We need to find the number of ways a four letter password can be made The first letter is fixed to be a vowel.

There are 10 vowels (5 of lowercase and 5 of upper case).

Thus, 10 ways of choosing the first letter.

Second letter can be any of the 52 letters(26 of lowercase and 26 of uppercase).

Similarly, third and fourth letter can be any of the 52 letters.

Thus, using the product rule, the number of ways of making the four letter password is:

[tex]N = 10 \times 52 \times 52 \times 52 = 1406080[/tex]

(the answer can be different if we consider only either lowercase letters or only upper case letters. In those cases, there would be [tex]5 \times 26^3 = 87880[/tex] ways to make such passwords).

We used product rule, since we wanted to do the choosing of all the four letters for password, and we knew the number of ways each of them can be done individually.

Thus,  the number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080

Learn more about rule of product combinations here:

https://brainly.com/question/2763785

Plzzzzzz help one more time​

Answers

D
Non linear means not a straight line

a square has a shaded part with 7cm and 4cm and 40 cm. workout the percentage of the are inside the square that is shaded

Answers

Answer:

68

Step-by-step explanation:

You multipliy 7x4 and you get 28 now you add the 40+28=68.

Solve each inequality
-5y-2<8

Answers

Answer:

y > -2

Step-by-step explanation:

-5y-2<8

= -5y<8+2

= -5y<10

= y > 10/-5

∴ y > -2

Note: Anytime you multiply or divide both sides of the inequality, you must “flip” or change the direction of the inequality sign.

Find the length of the diagonal in rectangle using image 3353

Answers

Answer:

65

Step-by-step explanation:

c=a2+b2=332+562=65

what is the improper fraction 2 7/8what is the improper fraction 8 2/3

Answers

Answer:

1. 23/8

2.26/3

Step-by-step explanation:

Could someone please help?

Answers

Answer:

snap for secsy pics

Step-by-step explanation:

cat.lover

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