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
Answers
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 unknown number to ( 6 x 2) + (6 x 3) = 6 x __
Answers
Answer:
6
Step-by-step explanation:
6
How Long will it take each student plan to be paid down to $1000?
Answers
The corresponding answers for each student plan are:
plan A: 15 years
plan B: 5 years
plan C: 10 years
plan D: 9 years
Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.
Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.
Learn more: brainly.com/question/14355665
7. What is the percent of decrease from 40 to
30?
A. 10%
B. 25%
C. 30%
D. 33.3%
Answers
Answer:
25%
Step-by-step explanation:
25 percent decrease or reduction from 40 is 30
Andre says that 3 \div÷ 2/3 = because there are 4 groups of 2/3 and 1/3 left. Do you agree with Andre?
Answers
Answer: No
Is this 3/(2/3)? I'll assume it is.
Step-by-step explanation:
3/(2/3) can be rewritten as 3*(3/2)
3*(3/2) = 9/2 or 4 1/2
Four groups of 2/3 would make 8/3 or 2 2/3, not 4 and 1/3.
x^2-4x+11
In the form a(x+h)^2+k
Answers
Answer: im very sorry
Step-by-step explanation:
Find the measure of angle y.
A) 19
B) 22
C) 41
D) 120
Answers
Answer:
19
Step-by-step explanation:
because it alternate with A
write the ratio in simplest form 30 in. to 1ft
Answers
Please help me please help meee
Answers
Answer:
A
Step-by-step explanation:
As it is 7 people that like blue
solve for missing side of the right triangle, round to the nearest tenth .
Answers
a^2 + b^2 = c^2
Let’s say a = 6 and b = 11
6^2 + 11^2 = c^2
36 + 121 = c^2
c^2 = 157
C = squareroot of 157
C = 12.5
Solution: 12.5 m
help me please! find the angles and solve for x!!!
Answers
Answer:
x = 25; 47 degrees, 47 degrees, 86 degrees
Step-by-step explanation:
the two triangles are congruent so they have the same angles
that means 2x - 3 = x + 22
2x - 3 = x + 22
subtract x from each side
x - 3 = 22
add 3 to both sides
x = 25
and this is your answer
assuming that the triangles are isosceles triangles two of the angles are the same
the angles with the x on it are 47 after calculating
that means that the other angle across from it is also 47
a triangles angles added up is 180
47 + 47 + n = 180
the last angle after calculating is 86 degrees
The area of rectangle ABCD is 28 cm^2
a) What is the length of side AB in terms of x?
b) If the area of rectangle ABCD is 28cm^2
we can show that x2 + ax=b
a and b are integer values.
Work out the values of a and b.
Answers
The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:
Area = length * width
From the image:
Length of AB = x + 4
Length of BC = x + 6
The area of rectangle ABCD = Length of AB * Length of BC
28 = (x + 4)(x + 6)
x² + 10x + 24 = 28
x² + 10x = 4
Comparing with x² + ax = b gives:
a = 10, b = 4
Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
Find out more at: https://brainly.com/question/15019502
The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:
Area = length * width
From the image:
Length of AB = x + 4
Length of BC = x + 6
The area of rectangle ABCD = Length of AB * Length of BC
28 = (x + 4)(x + 6)
x² + 10x + 24 = 28
x² + 10x = 4
Comparing with x² + ax = b gives:
a = 10, b = 4
Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
Given that f ( x ) = 3 x − 3 and g ( x ) = 2 x , evaluate g ( g ( − 4 ) )
Answers
Answer:
g(g(- 4)) = - 16
Step-by-step explanation:
Evaluate g(- 4) then substitute the value obtained back into g(x)
g(- 4) = 2(- 4) = - 8 , then
g(- 8) = 2(- 8) = - 16
The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.
Answers
Answer:
[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The slope m is a measure of the rate of change
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with |(x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line
m = [tex]\frac{4-(-1)}{3-0}[/tex] = [tex]\frac{4+1}{3}[/tex] = [tex]\frac{5}{3}[/tex] ← rate of change
Answer:
slope(m) = 7/4
Step-by-step explanation:
You can use Rise over run in order to find out the answer. I just used points (0,-1) and (4,6) and the rise was positive 7 while the run is 4 so the rate of change or the slope is 7/4.
You could also use the long way to figure the slope of the line. You could use (y2 - y1) / (x2, x1) to get the same slope
What is this symbol??
Answers
Answer:
plus and minus
Step-by-step explanation:
example : 3 ± 5 = 8 or -2
Hello!
The symbol + means "plus or minus"
It means we either add or subtract 4.
Example: 2+4=6 or -2
Hope it helps!
~Just a felicitous teen
#CarryOnLearning
[tex]SilentNature :-)[/tex]
Please help! I also don’t understand a). My friend did it for me when I wasn’t looking so if you could explain that too, that’s be great
Answers
Answer:
a) 45
b) No. AD and BC arent parallel.
Step-by-step explanation:
a)
3x + 2x + x + 90 = 360
6x = 270
x = 45
Hope you could understand.
If you have any query, feel free to ask.
5+x>5x-11 solve the inequality
Answers
Answer:
x<4 hope it helps and it's correct
x <4 thats the answer ok
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
(x + y) (x -y) simplfied and showing work
Answers
Answer:
(x+y) + (x-y) = x + y + x - y =2x
(x+y)(x-y)=x^2 + yx - xy - y^2 = x^2 - y^2
(x+y) ( x-y)
x^2 - y^2
Step-by-step explanation:
1002828197382728173927937294729929382991divided by 182883929190.837283828281-737273728377273737272
Answers
Answer:
4.766141725565771e23
Step-by-step explanation: it is impossibel to explane so coculated it and i got 4.766141725565771e23. so there you go.
help please i only have 20 mins left
Answers
4748
Step-by-step explanation:
help me help me help me help me helpppppp me
Answers
Answer:
yes,
She has enough..She needs of 6 ounces+16/4=4 tantamount of 10 ounces, She would have extra one ounce.
Step-by-step explanation:
16. A scuba diver started at sea level and dove 100 feet. The
diver then rose 25 feet. Write and evaluate an expression that
shows the diver's current elevation relative to sea level.
Math
Answers
Answer:
His realation to sea level would be -75 since he would be below the ground/ sea level
Step-by-step explanation:
Pls brainliest
What id the value of x?
Answers
Answer:
x=43.25
Step-by-step explanation:
this is a isosceles triangle so the other angle is also x
2x+93.5=180
2x=86.5
x=43.25
Andrew earns $15.75 per hour at his job. If he worked 42 hours last week, how much did he earn?
Answers
Explanation: multiply $15.75 by 42 then you get the money you made for the whole week.
Two trains are traveling at a constant rate. Find the rate of each train. Which train is traveling at a faster rate?
Answers
Answer:
Train A
Step-by-step explanation:
Look at the table.
Train A : 75 - 50/ 3 - 2 = 25 mi/n
Train B : 40 - 0/ 2 - 0 = 20 mi/n
25 > 20
So it's train A.
{ RATE }
Solve the simultaneous equations
5x + 3y = 23
2x + 4y = 12
Answers
Answer:
x= 4, y= 1
Step-by-step explanation:
5x +3y= 23 -----(1)
2x +4y= 12
Divide both sides by 2:
x +2y= 6 -----(2)
(2) ×5:
5x +10y= 30 -----(3)
(3) -(1):
5x +10y -(5x +3y)= 30 -23
Expand, simplify:
5x +10y -5x -3y= 7
Divide both sides by 7:
7y= 7
y= 7 ÷7
y= 1
Substitute y= 1 into (2):
x +2(1)= 6
x +2= 6
x= 6 -2
x= 4
A mobile phone company increases its monthly prices by 1.8% to 35.62. How much is the monthly price increase?
Answers
Answer:
0.62982 monthly price increase
Step-by-step explanation:
A garden has several rows of pumpkin plants.Each row has 10 plants how many pumpkin plants could be in the. Garden what strategy would you use.
Answers
Answer:
since they are in groups of 10, there could be 10,20,30,40,50,60....
I hope it helps.
The total number of pumpkin plants could be 10y where, y is number of rows.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here it is given that :
Each row of garden has 10 plants
Let the number of rows of pumpkin plants be = y
Then the total number of pumpkin plants will be the multiplication of y and 10 that is : 10y
Therefore,The total number of pumpkin plants could be 10y where, y is number of rows.
Read more about expressions at :
https://brainly.com/question/12030750
#SPJ2
PLEASEEEEEEE HELP ME GUYS!!
Answers
a car covered a certain distance at the speed of 24mph. while returning, the car covered he same distance witht eh spped of 16mph. what has his average speed?
Answers
Answer:
19.2
Step-by-step explanation:
You have to trust me, this answer is correct. But here's my solution:
With the formula
Distance=Speed multiplied by Time, we can infer that Speed=Distance/Time.
But we only have one variable (Speed) in the two we need (Speed and Time), we have to pretend we have both variables. You can put the time as 1 hour because that's the most basic unit. Note that this strategy will also work with 2 hours, 3 hours, or any measure of time.
So now for distance, let's see how fast a car can travel 24 miles. When going at 24 mph, then it'll take 1 hour. With 16 mph, then it'll take 1 hour and 30 minutes, so 1.5 or 3/2 hours.
Now we have the distance, which is 2 times 24 (Because the 24 mph and 16 mph both traveled 24 miles), equaling 48, and time, which is 1 hour plus 1.5 hours, which is 2.5 hours.
Now we use the formula Speed=Distance/Time, with 48/2.5=19 1/5 or 19.2
DUBS
(Please consider giving a Brainliest. I spent lots of time on this, and it's honestly the best answer out of all!)