==========================================================
Explanation:
Note that 2^4 = 16 is one less than 17.
Because of this nature of being 1 less, we can say the remainder of 16/17 is -1 because it comes up one short.
In terms of modular arithmetic, we can say,
[tex]2^4 \equiv 16 \ (\text{mod } 17)\\\\2^4 \ \equiv -1 (\text{mod } 17)\\\\[/tex]
Then let's raise both sides to the 20th power. I'm picking 20 because 20*4 = 80 which will help build toward 81
[tex]2^4 \equiv -1 \ (\text{mod } 17)\\\\\left(2^4\right)^{20} \equiv (-1)^{20} \ (\text{mod } 17)\\\\2^{20*4} \equiv 1 \ (\text{mod } 17)\\\\2^{80} \equiv 1 \ (\text{mod } 17)\\\\[/tex]
Lastly, we'll multiply both sides by 2 to get to the final answer
[tex]2^{80} \equiv 1 \ (\text{mod } 17)\\\\2*2^{80} \equiv 2*1 \ (\text{mod } 17)\\\\2^{1}*2^{80} \equiv 2 \ (\text{mod } 17)\\\\2^{1+80} \equiv 2 \ (\text{mod } 17)\\\\2^{81} \equiv 2 \ (\text{mod } 17)\\\\[/tex]
So if we were to divide 2^81 over 17, then we get some quotient and a remainder of 2
What is the circumference of a circle when the diameter is 8cm?
Answer:
C = 25.13cm
C = π d = π · 8 ≈ 25.13274cm
Answer:
the answer is 4cm circumference
Which shows the correct expression and answer for solving 1.8 x 1.2 with partial products?
Answer:
Step-by-step explanation:
1.8 x 1.2 = 2.16
Answer:
the answer is C
Step-by-step explanation:
I had this test before
What is 4.312 x 100
any decimal times a multiple of 10 means that the decimal will move to the right based on the number of zeros
therefore
4.312 * 100 = 431.2
hope this helps
Answer:
431.2
Step-by-step explanation:
[tex] \\ 4.312 \times 100[/tex]
[tex] \\ = \frac{4312}{1000} \times 100[/tex]
[tex] \\ = \frac{4312}{10} [/tex]
[tex] \\ = 431.2[/tex]
help help help help thankyou
Answer:
3.4×10⁴
Step-by-step explanation:
1.6×10⁴=1.6×10000=16000
5×10⁴=5×10000=50000
5000-16000=34000
=3.4×10⁴
Simplify these expressions
а) xxxxx
b) ухухухуху
[tex]a) \: x \times x \times x = x {}^{3} \\ b) \: y \times y \times y \times y \times y = y {}^{5} [/tex]
Answer:
a) x³
b) [tex]y^{5}[/tex]
Poems written for entertainment in ancient Sumer were called _______.
a.
Scribes
c.
Epics
b.
Cuneiform
d.
Haiku
Please select the best answer from the choices provided
A
B
C
D
Help pls! T^T I will make you brainylist
Find the least common denominator (LCD) of 5/8
and 1/4
Answer:
8
Step-by-step explanation:
1. 1/4 × 2/2 = 2/8 (denominator is 8)
2. 5/8 × 1 = 5/8 (denominator is 8)
Therefore, the common denominator is 8.
2. Solve using the standard algorithm.
9.8: 5 =
55918
Answer:
1.6
Step-by-step explanation:
sorry if i'm wrong mate
find the value of y. 7y + y - 2y =18
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
y=3
Step-by-step explanation:
if you are to put this on a graph the would be Linear
How do you solve f(x)=7
Answer:
7
Step-by-step explanation:
f(x) is the same thing as y. So y = 7 the only value of x that can give you 7 is 7.
How many square feet of outdoor carpet will we need for this hole?
Answer:
30 square feet
Step-by-step explanation:
Multiply
somone plz help me will make brainlest if is right
9514 1404 393
Answer:
y = 1/5
Step-by-step explanation:
Divide both sides of the equation by the coefficient of the variable.
7 = 35y
7/35 = (35y/35)
1/5 = 1y
y = 1/5
_____
A number divided by itself is 1. A number multiplied by 1 is unchanged.
To get from 35y to 1y, or y, divide by 35. That gives you (35/35)y = 1y = y.
Whatever you do to one side of the equation must also be done to the other side. Dividing 7 by 35 gives 7/35 = (7/7)×(1/5) = 1/5.
Homer and Marge had
dinner at the Main Street
Café. Their bill was
$35.28. If they tip their
waitress 15%, how much
of a tip will they leave?
Answer:
$5.29
Step-by-step explanation:
The tip was 15% U take that 15% and divide it by 100
whatever the answer was multiply it by a $35.28
Ali bought 2kg of potato and 3kg of onion. The price of the onion is 50 cents less
than potato. He paid $10 to the cashier and get back $1.50. What is the price for 1kg
of onion ?
Answer:
1kg of onion is $1.5
Step-by-step explanation:
He paid $10 and got $1.50 back, meaning that the total price for the 2kg and 3kg of the potato and onion is:
10 - 1.5 = $8.50
Now, equating the prices of the two (take x as the cost of the potato per kg and take y as the cost of the onion per kg):
x -0.5 = y
x - y = 0.5 ---- Eq 1
Equating the total costs:
2x + 3y = 8.5 ---- Eq 2
Multiplying Eq 1 by 2:
2x - 2y = 1 ---- Eq 1'
Subtracting Eq 2 from Eq 1':
2x - 2x +3y - (-2y) = 8.5 - 1
5y = 7.5
y = 1.5
Substituting this into the first equation:
x - 1.5 = 0.5
x = 2
Hence,
the cost of the Potato is $2, and
the cost of the Onion per kg is $1.5
Hope this helps, and have a wonderful time ahead on Brainly!
Paige bought 1.06 pounds of what is 42.05 what does the lettuce cost per pound pounder to the nearest cent help please
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
1.6 pounds of lettuce costs :
$ 42.051 pound of lettuce costs :
$ 42.05 ÷ 1.06$ 39.66 per poundNEED HELP ASAP What is the equation of the function in standard form? WILL GIVE BRAINLYEST TO CORRECT ANSWER
Answer:
i can ans it
(-4,-1,-12)
5+(-7) words problem
I don't know what you mean about (words problem)
But this is what I came up with
5+(-7)5-7-2Subtract
8/9 - 1/3
5/6
5/9
7/9
7/12
Answer:
3/9
Step-by-step explanation:
Common denominator: 27
24/27 - 9/27 = 15/27 = 3/9
Anyone know the common ratio and zero term for this ?
4, 12, 36, ...
Answer:
36/12=3
12/4=3
Therefore, common ratio is 3
Tn = ar^(n-1)
T0=4*3^(0-1)
4*1/4
4/3
Help pleaseeeees x+1/6=3x/10
Answer:
X=1/174
Step-by-step explanation:
Answer:
x = -5/21
Step-by-step explanation:
The common denominator between all the terms in this equation is 30. Multiply everything by 30.
[x+1/6=3x/10] * 30
30x + 5 = 9x subtract 9x on both sides
21x+5 = 0 subtract 5 on both sides
21x = -5 divide 21 on both sides
x = -5/21
Use the formula below to find the 10th term in the geometric sequence.
an = (-2)(3)^n-1
A. -13,122
B. -39,366
C. -118,098
D. -354,294
Answer:
uhhhh I can't explain how but the answer is B. -39,366.
Find what 2/4 is multipled by to to get 2/4 divided by 12. Then solve the problem. Do not reduce your answer.
Answer:
Step-by-step explanation:
How many tens are
there in 350?
Answer:
35 because 35 times ten equals 350
Step-by-step explanation:
14(5+8)
In Step 1, Angelica applied the distributive property. She multiplied 14 by each of the addends inside the parentheses. Which expression demonstrates Angelica multiplying 14 by each addend?
(14⋅5)+(5⋅8)
(14⋅5)+(14⋅8)
5+(14⋅8)
(14⋅5)+8
Answer:Expand the equation.
Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set.
Combine like terms.
Solve the equation and simplify, if needed.
Step-by-step explanation:
Pythagorean theorem digital escape. Can you find the length and area and type the correct code
Answer:
HIAB
Step-by-step explanation:
I guess the letters are in order
9. The endpoints of a diameter of a circle are A (2,1) and B(5,5). Find the area of the circle in terms of . (1 point)
25
O
IT square units
O 10 square units
O 255 square units
O 57 square units
Answer:
Area of the circle is 6.25π sq.unit
Step-by-step explanation:
The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴
Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]
The Area of Circle whose endpoints of a diameter of a circle are A (2,1) and B(5,5) is 6.25 sq unit.
What is Distance Formula?If there are two points in the coordinates plane as P(a, b) and Q(c, d) then the distance between these two points are
PQ = √(c- a)² + (d-b)²
We have the endpoints of a diameter of a circle are A (2,1) and B(5,5).
Now, using Distance Formula
d= √{(x2 - x1)² + (y2 - y1)²}
Here, x1 = 2; y1 = 1; x2 = 5; y2 = 5
d = √{(5 - 2)² + (5 - 1)²}
d = √{(3)² + (4)²}
d = √{9 + 16}
d = √25
d = 5 unit
Now, Area of Circle
= πr²
= 3.14 x 2.5 x 2.5
= 6.25π sq units
Learn more about Distance Formula here:
https://brainly.com/question/25841655
#SPJ7
Watch help video
Christian is driving on a long road trip. He currently has 12 gallons of gas in his car.
Each hour that he drives, his car uses up 1.25 gallons of gas. How much gas would be
in the tank after driving for 6 hours? How much gas would be left after t hours?
Gas left after 6 hours:
Gas left after t hours:
Submit Answer
attempt 1 out of 2 / problem 1 out of max 1
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Answer:
Gas left after 6 hours: 4.5 gallons
Step-by-step explanation:
multiply 1.25 by 6 which will be 7.50
then subtract 7.50 from 12 which will be 4.50
i think :)
Solve for x
simple geometry
The answer is 29
when we see angles like that we will use a property of a parallelogram
which means
2x-10 angle plus 4x+16 angle equal to 180 degrees
let's find out
(2x-10)+(4x+16)=180
6x+6=180
6x=174
x=29
Have a great day
Answer:
From the above attachment we can conclude that,
[tex](2x - 10)° + (4x + 16)° = 180° \\ 2x - 10 + 4x + 16 = 180 \\ 2x + 4x - 10 + 16 = 180 \\ 6x + 6 = 180 \\ 6x = 180 - 6 \\ 6x = 174 \\x = \frac{174}{6} \\ \boxed{x = 29}[/tex]
Therefore, the value of x is 29
x = 29 is the right answer.find the measure of the missing angels
Answer:
45
Step-by-step explanation:
First add the angles given: 85+50=135
Since all the angles of a triangle combined have to equal 180, you can subtract it from 180.
180-135=45
So your answer would be 45.
Hope this helps :)
An airplane takes 5 hours to travel a distance of 3400 kilometers against the wind. The return trip takes 4 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
