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 solution?
Answers
Answer:
(4, 4)
Step-by-step explanation:
y = 7/4 x - 3 graph (0, -3) (2, .5), (4, 4) (8, 11). Draw the line
y = x graph (0,0) (2, 2), (4, 4) , ( -2, -2). Draw the line
The two lines intersect at point (4, 4)
Morgan is working two summer jobs, making $19 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work a maximum of 11 total hours and must earn no less than $120. If xx represents the number of hours lifeguarding and yy represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution. (Delta Math)
Answers
Answer:
(hope this helps can I pls have brainlist (crown))
Step-by-step explanation:
Morgan could work 6 hours lifeguarding and 3 hours walking dogs.
the total number of hours worked in both jobs,
x+y
x+y, must be less than or equal to 11
solve inequalities for y
x+y≤11
y≤11−x
Morgan makes $19 per hour lifeguarding, so in x hours she will make
19x dollars. Morgan makes $6 per hour walking dogs, so in
y hours she will make 6y dollars. The total amount earned 19x+6y
19x+6y must be greater than or equal to
$120
solve inequalities for y
19x+6y≥120
6y≥120−19x
y≥20-19/6x
5/7 of a number is 55
work out the number.
please help with this question
Answers
Answer:
77
Step-by-step explanation:
Hope this helps..
Good luck.
typingthistogettothe20charactercap
I need help with these questions. Thanks!
Answers
Answer:
47.27°44.22°Step-by-step explanation:
Q1)The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(x) = 57/84
The inverse function is used to find the angle.
x = arccos(57/84)
x ≈ 47.27°
__
Q2)The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(x) = 53/76
The inverse function is used to find the angle.
x = arcsin(53/76)
x ≈ 44.22°
Please help! urgent! A-E questions
no links!!!!!
A. Name a line parallel to KI.
B. Name a line skew to KI
C. Name a plane parallel to plane KIJ.
D. Name a line parallel to plane GJI.
E. What is a difference between parallel lines and skew lines?
Answers
Answer:
a. KJ
b. GF
c. HFG
d. FIJ
e. parallel lines will never intersect, skew lines are crooked and not in line with another specified line.
Step-by-step explanation:
hope this helps :)
If a = 7 and b = 2, find the value of
a) a - b
b) 2a + 3b
c) 2ab
d) (a - b)^2
Answers
Answer:
(1) 5
(2) 20
(3) 28
(4) 25
Step-by-step explanation:
(1)
Substitute: 7 - 2
Calculate the sum or difference:
Answer: 5
(2)
Substitute: 2 × 7 + 3 × 2
Calculate the product or quotient: 14 + 6
Calculate the sum or difference: 20
Answer: 20
(3)
Substitute: 2 × 7 × 2
Calculate the product or quotient: 28
Answer: 28
(4)
Substitute: (7 - 2) ²
Calculate the sum or difference: 5²
Calculate the power: 25
Answer: 25
Answer:
Step-by-step explanation:
7-2=5
2×7+3×2=20
2×7×2=28
(7-2)^2
7-2=5
5^2=25
Find the 75th term of the arithmetic sequence -21, -10, 1
Answers
Answer:
793
Step-by-step explanation:
Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.
So, -10--21=11 and also 1--10=11
so common difference is 11
now we will use the formula Asubn=Asub1+d(n-1)
D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1
Anyways, Asub75=-21+11(75-1)=793
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
PLS HELP PLS ILL GIVE BRAINLKEST THANKS
Answers
Answer:
2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours
f(x)=-3x^2 find f(-2)
Answers
Answer:
12
Step-by-step explanation:
f(-2)=3(-2)^2
f(-2)=3(4)
f(-2)=12
We have a right triangle $\triangle ABC$ where the legs $AB$ and $BC$ have lengths $6$ and $3\sqrt{3},$ respectively. Medians $AM$ and $CN$ meet at point $P.$ What is the length of $CP$
Answers
By using Pythagoras theorem and distance formula the length of CP is obtained as 3.43 units.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
To find the length of CP, first find the coordinates of point P, and then use the distance formula to calculate the length of CP.
Let A be at the origin (0, 0), and let B be on the positive x-axis at (6, 0). Then we can find the coordinates of C using the Pythagorean theorem -
AC² + BC² = AB²
AC² + (3√3)² = 6²
AC² = 9
AC = 3
So C is located at (3, 3√3). We can find the coordinates of M by taking the average of the coordinates of A and B, which gives -
M = ((0+6)/2, (0+0)/2) = (3, 0)
Similarly, find the coordinates of N by taking the average of the coordinates of B and C, which gives -
N = ((6+3)/2, (0+3√3)/2) = (4.5, 1.5√3)
Now find the equation of the line passing through M and C, which is the line containing median AM -
slope = (3√3 - 0)/(3 - 0) = √3
y - 0 = √3(x - 3)
y = √3x - 3√3
And find the equation of the line passing through N and A, which is the line containing median CN -
slope = (0 - 3√3)/(0 - 6) = √3/2
y - 0 = (√3/2)(x - 6)
y = (√3/2)x - 3√3
Now, find the intersection point of these two lines, which is point P -
√3x - 3√3 = (√3/2)x - 3√3
x = 6/3.5
x = 12/7
y = √3(12/7) - 3√3
y = 3√3/7
So P is located at (12/7, 3√3/7).
Now use the distance formula to find the length of CP:
CP² = (12/7 - 3)^2 + (3√3/7 - 3√3)²
CP² = (33/7)^2 + (6√3/7)^2
CP² = 1089/49 + 72/49
CP² = 1161/49
CP = √1161/7
Therefore, the length of CP is (approximately) 3.43.
To learn more about Pythagoras Theorem from the given link
https://brainly.com/question/21970437
#SPJ1
Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get?
Answers
Answer:
how many kids are in each class though
Please help. Thank you!
Answers
Answer: 6.33 cups of flour
Step-by-step explanation:
The ratio of cups of cashews to cups of flour is 4:5. We can set this as a ratio: (4 cups cashews)/(5 cups flour).
If we have 3 cups of cashews, we can multiply by uasing the inverse of the above ratio: (5 cups fluor)/(4 cups cashews)
(3 cups cashews)*((5 cups fluor)/(4 cups cashews) = (15/4)*( cups fluor) = 3.75 cuops of fluor.
The following equation is true because of the distributive property, YES or NO.
2(y + 5) = 2y + 10
Answers
The answer is yes.
Step-by-step explanation:
The number outside the bracket gets multiplied with both the numbers inside the bracket.
8. The area of a rectangular fence is 500 square feet. If the length of the
fence is 25 feet, then find its width.
Answers
Answer:
20 square feet
Step-by-step explanation:
500/25 = 20
20x25 = 500
[tex] \: \: \: [/tex]
help me po
1.) if mHO =150° and mPO =80° what is the m∠HEO?
2.) if mMT =140° and mMHT =220° find m∠ MAT
answer 3-4 only
need properly answer
right answer= brainlist follow and thanks
nonsense answer will be reported
Answers
Answer:
b. secantc. 45°d. 35°d. 40°Step-by-step explanation:
1. A chord is a line segment whose end points lie on a circle. The line containing that segment is called a "secant."
__
2. The angle where chords cross is the average of the intercepted arcs:
(50° +40°)/2 = 45° . . . . measure of angle CSA
__
3. The angle where secants or tangents meet is half the difference of the intercepted arcs.
(150° -80°)/2 = 35° . . . . measure of angle HEO
__
4. The angle where secants or tangents meet is half the difference of the intercepted arcs.
(220° -140°)/2 = 40° . . . . measure of angle MAT
Please note that this is the supplement of arc MT between the tangents.
Answer:
The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.
Neuron Function: Food Preservation
Fertilizer Meaning: Exocrine Glands
Food Chain Examples: Cell Biology
Step-by-step explanation:
yo kya haal hai
Properties of Exponents-
Simplify (4a⁵b⁶)⁴
Answers
~exponent
===========================
(4a⁵b⁶)⁴
= 4⁴ × (a⁵)⁴ × (b⁶)⁴
= 256 × (a⁵)⁴ × (b⁶)⁴
= 256a²⁰ × (b⁶)⁴
= 256a²⁰b²⁴ ✔️
~ nice to help you ^^
(4a⁵b⁶)⁴ = ?
= 4⁴ (a⁵)⁴ (b⁶)⁴
= 256a²⁰b²⁴
Find the 60th term of the arithmetic sequence -10, 8, 26,
Answers
Answer:
a₆₀ = 1052
Step-by-step explanation:
There is a common difference between consecutive terms , that is
8 - (- 10) = 26 - 8 = 18
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 10 and d = 18 , then
a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052
Answer:
a(60) = 1052
Step-by-step explanation:
Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again. Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:
a(n) = -10 + 18(n - 1)
Therefore, the 60th term is
a(60) = -10 + 18(59), or
a(60) = 1052
plss help po
grade 11 student topic
Answers
Answer:
1. f(3) = 11
2. f( 1 ) = 6
3. f(-2) = -5
Step-by-step explanation:
Note: I will only work on questions 1 and 2 in order to allow you to practice the techniques provided in this post, as you work on question 3. However, I will provide the correct answer for question 3, as your reference.
In order to evaluate each of the given functions, simply substitute the inputs provided in the function notation, f(x).
1. f(x) = 2x + 5, find f(3).To evaluate the given linear function, simply substitute x = 3 as an input into the function:
f(3) = 2x + 5
f(3) = 2(3) + 5
f(3) = 6 + 5
f(3) = 11
Therefore, the value of f(x) = 2x + 5 given f(3) is: f(3) = 11.
2. f(x) = x² + 2x + 3, find f(1)Similar to question 1, substitute x = 1 as the input of the given quadratic function.
f(x) = x² + 2x + 3
f( 1 ) = ( 1 )² + 2( 1 ) + 3
f( 1 ) = 1 + 2 + 3
f( 1 ) = 6
Therefore, the value of f(x) = x² + 2x + 3 given f( 1 ) is f( 1 ) = 6.
3. f(x) = 3x² + 5x - 7, find f (-2)If evaluated properly, the correct answer is: f(-2) = -5.
For f(x) = -5x+10, what us the value of x for which f(x) = 35
Answers
Answer:
x= -5
Step-by-step explanation:
f(x)= -5x +10
35= -5x +10
35-10 =-5x
25/-5 =x
x= -5
DesBest Granola bars are now 25% longer. if the original bar was 20 centimeters long, how long is the new granola bar?
Answers
Answer:
25
Step-by-step explanation:
25% is a 4th of the whole number, the whole number is 20 so a 4th of 20 is 5 because 5 times 4 equals 20.
due to the fact that 25% of 20 is 5 we now have to add that to the whole number which is 20.
20 + 5 = 25
Use the example as a model. Simplify the expressions.
t^37=?
i
-i
1
-1
Answers
Answer:
Step-by-step explanation:
[tex](\iota)^{37}=(\iota)^{36} \times \iota=[(\iota)^2]^{18}\times \iota=(-1)^{18} \iota=\iota[/tex]
Is it possible to draw a triangle whose sides have lengths 10.3 cm, 5.8 cm and 4.6 cm?Justify your answer.
(answer me fast kid)
Answers
Answer:
Yes it is possible
Step-by-step explanation:
let a = 10.3, b =5.8 , c= 4.6
a+b= 16.1>4.6=c
b+c=5.8+4.6=10.3>10.3=a
c+a=4.6+10.3=14.7>5.8=b.
how do i simplify these?
. X x X x X
.Y x Y x Y x Y x Y
Answers
Hello!
X*X*X=X times X times X = X³
Y*Y*Y*Y*Y=Y times Y times Y times Y times Y= Y⁵
Hope it helps you! :)
Let me know if you have any query or need further explanation. :)
~A determined gal
[tex]MagicalNature[/tex]
What does this graph represent?
Question options:
not moving
acceleration
constant speed
Answers
Answer:
A or C
Step-by-step explanation:
Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = X - 4
H(x) = =x
h(x) = x
Answers
Answer:
Can you pls give a bit more information.
Step-by-step explanation:
Solve this equation
(X+1)/4 = x/2
Answers
Answer:
1 = x
Step-by-step explanation:
First eliminate the fractions by multiplying both sides by the LCD, which is 4:
x + 1 = 2x
Subtracting x from both sides yields 1 = x
Tangela bought 12 cans of sodas for $5.40
Answers
Answer:
324
Step-by-step explanation:
Answer:
0.45 for one can of soda
Step-by-step explanation:
If you want to know the price for one soda all you have to do is divde.
12 ÷ 5.40 = 0.45
So, one soda can is $0.45! Have a great day friend! :D
x =
82
262
98
when answering this can you explain how you got the answer so i can stop asking brainly.
Answers
Answer:
82
Step-by-step explanation:
in a quadrilateral the sum of opposite sides should be 180 degrees
The angles opposite from each other are supplementary, meaning they equal 180 degrees
180 - 98 = 82
calls for
1
4
4
1
cup of sugar and
2
3
3
2
cup of flour. Janelle wants to proportionally increase these amounts to get a new recipe using one cup of sugar.
Answers
Answer:
Use a converation table and figure out 4/4-1/4 and that would be how much you would add for a new cup of sugar