Answer:
Step-by-step explanation:
Let n=2α⋅5β⋅m , where gcd(m,10)=1 . Then, the decimal expansion of 1n is of the form
0.a1…akak+1…ak+ℓ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(1) ,
where k=max{α,β} and ℓ is the least positive integer for which m∣(10ℓ−1) . In other words, ℓ is the order of 10 in the multiplicative group of units modulo m . So ℓ∣ϕ(m) by Lagrange's theorem.
In particular, if gcd(n,10)=1 , then α=β=k=0 , m=n , and
1n=0.a1…aℓ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(2)
Therefore, we know that
117=0.a1…aℓ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(3)
Here ℓ is the least positive integer for which 17 divides 9…9ℓtimes , and we know that ℓ divides ϕ(17)=16 .
Successively squaring 10 modulo 17 gives
102≡−2(mod17),104≡4(mod17),108≡−1(mod17),1016≡1(mod17) .
So ℓ=16 in expansion (3) .
In fact,
a1…a16×17=1016–1.
a1…a8+a9…a16=108−1 .
The first fact has nothing to do with the denominator n being prime. The second fact has everything to do with n being prime, and was discovered by E. Midy in 1836 .
Help plz!!
Ryan worked at a local ice cream shop during the summer. The money he earned for the first six weeks is given below.
$40, $80, $38, $40, $32, $65
Ryan then earned $24 in the seventh week. How were the mean and the median affected?
The mean decreased, and the median remained the same.
The median decreased, and the mean remained the same.
The median and the mean both remained the same.
The mean and the median both decreased.
Answer:
my answer isn't on the list, but doing the math the median increased from 39 to 40, but the mean decreased from 49.16 to 45.57
Jesse bought a $340$ -gram bag of coffee beans. He uses $18.75$ grams of coffee beans each day. When there are $40$ grams of coffee beans remaining in the bag, Jesse will buy another bag to make sure he doesn't run out of coffee.
Answer:
I will make sure he doesnt run out for you.
Step-by-step explanation:
2. The mean weight of the students on the
Trail Middle School wrestling team is 150
pounds with a mean absolute deviation of
10 pounds. The mean weight of the
students on the Burlington Middle School
wrestling team is 130 pounds with a mean
absolute deviation of 10 pounds. By how
many pounds is the mean weight of the
students on Trail's team greater than the
mean weight of the students on
Burlington's team?
Answer:
The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School wrestling team
Step-by-step explanation:
Since the value of absolute deviation in case of Trail Middle School wrestling team and Burlington Middle School wrestling team is same. Hence, there will be no impact of it while determining the difference in mean deviation of both the team.
Thus, the difference in mean deviation is [tex]150-130 = 20[/tex]
The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School wrestling team
Melanie cuts a rectangle out of a piece of scrap paper as shown. She wants to calculate the angle measure of the piece that is left over. What is the measure in degrees?
Number 7 please help 10 points no links pleAse
Answer:
Option C : 25Step-by-step explanation:
Given,
Number of rainy days = 18
Number of cloudy days = 14
Number of sunny days = 29
Therefore,
Number of days either sunny or cloudy = 14 + 29 = 43
So,
Number of more days sunny or cloudy than rainy are
= 43 - 18 = 25
Hence,
Option C 25 is the correct answer.
HELP HELP HELP HELP HELP ITS URGENT :((((
Answer: well if you listened on school you wouldn't need help sooo
Step-by-step explanation: LISTEN IN SCHOOL
complete the table of values for
y=3-x^3
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
x | y
---------------------------
-2 | 11
-1 | 4
0 | 3
1 | 2
2 | -5
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Brainliest?
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Please help !!!!!!!!!!!!!!
How many pieces of wire 3.6cm long can be cut from a coil of 1m long?What is the length of the piece left over?
Answer:
We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over
Step-by-step explanation:
Find the "unit length" by dividing 1 m by 3.6 cm:
1 m
-----------
3.6 cm
Recall that 1 m = 100 cm. Multiply the following by the conversion factor 100 cm / 1 m:
1 m 100 cm
----------- * ----------------- = 27,7777777...
3.6 cm 1 m
We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over (verify this by dividing 7 by 9 on a calculator).
Answer:
Solution :-Pieces can be cut = 1/3.6
Pieces can be cut = 0.27 m
100 cm = 1 m
0.27 m = 27 cm
Therefore,
The length remaining of wire is 27 cm (approximately)
How to solve for shaded area
Answer:
(a) 12.96 ft²
(b) 21.5 in²
Step-by-step explanation:
(a) For the first diagram
Area of the shaded region (A) = Area of Tripezium- area of circle
A = [1/2(a+b)h]-[πr²]............... Equation 1
Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.
From the diagram,
Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.
Constant: π = 3.14
Substitute these values into equation 1
A = [12(15+6)/2]-(3.14×6²)
A = 126-113.04
A = 12.96 ft²
(b) For the second diagram,
Area of the shaded region (A') = Area of square- area of circle
A' = (L²)-(πr²)............. Equation 2
Where L = lenght of one side of the square, r = radius of the circle
From the diagram,
Given: L = 2r = (2×5) = 10 in, r = 5 in
Substitute these values into equation 2
A' = (10²)-(3.14×5²)
A' = 100-78.5
A = 21.5 in²
Center (-9,0) radius 1
Answer:
Step-by-step explanation:
im guessing you need the equation of the circle?
plugging it into the standard circle equaition you would get (x+9)^2+y^2=1 and then you would just need to rearaange it into standard form
what is the Surface area
Answer:
104
Step-by-step explanation:
What is the probability of flipping a coin 3times and getting 3tailsin a row?
Answer:
1/8
Step-by-step explanation:
The probability of getting tails on a single flip is 1/2.
Each of the flips is an independent event so you must multiply the probability of getting tails on each flip together.
So, your answer will look like this
[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] ; which equals;
1/8
Answer:
1/8
Step-by-step explanation:
To calculate the probability you have to name all possible results first. If you mark a result of a single coin flip as H for heads or T for tails all results of 3 flips can be written as:
Ω = { ( H , H , H ) , ( H , H , T ) , ( H , T , H) , ( H , T , T ) , ( T , H , H ) , ( T , H , T ) , ( T ,T , H ) , ( T , T , T ) }
Each triplet contains results on 1st, 2 nd and 3 rd coin. So you can see that in total there are 8 elementary events in Ω.
| Ω | = 8
Now we have to define event A of getting tails three times.
The only elementary event which satisfies this condition is ( T , T , T ) so we can write that:
A = { ( T, T , T ) }
| A | = 1
Now according to the (classic) definition of probability we can write, that:
P ( A ) = | A|/ | Ω | = 1 /8
So finally we can write the answer:
The Probability of getting 3 tails in 3 coin flips is 1 /8 .
Dima called her friend to tell her that she saved 30% on her new skirt at a discount store. Her friend told her that she could have gotten a better deal at a different store that was advertising a sale of One-third off all clothing. If the original price of Dima’s skirt was $54, how much more could she have saved at the store her friend suggested?
Answer: I think it's 1.80
Answer:
B
Step-by-step explanation:
3. -20 + -15 + 11 + -6 =
Answer:
-30
Step-by-step explanation:
How to solve (p^2)^5
Explanation: The power rule tells us that when we have a power taken to another power, we keep the base the same and we multiply the exponents.
So we have p¹⁰ which is our final answer.
Nadia has £5 to buy pencils and rulers. Pencils are 8p each. Rulers are 30p each. She says “I will buy 15 pencils. Then I will buy as many rulers as possible. With my change, I will buy more pencils.” How many pencils and how many rulers does she buy?
Answer:
Total pencils: 17
Total rulers: 15
Step-by-step explanation:
"I will buy 15 pencils."
15 * 8p = £1.20
15 pencils
"Then I will buy as many rulers as possible."
£5 - £1.20 = £3.80
£3.80/30p = 12 remainder 20p
12 rulers
"With my change, I will buy more pencils.”
20p/8p = 2 remainder 4 p
2 pencils
Total pencils: 17
Total rulers: 15
Measure the screwdriver's length to the nearest tenth of a centimeter. Express the answer as a decimal.
Answer:
17.1 cm
Step-by-step explanation:
A screw driver is a mechanical tool or device which is mainly used for screwing the screws and unscrewing them. It is also used for removing the nuts and bolts and also serves a variety of uses.
It is typically made of steel and has a handle and a shaft which ends as a tip.
In the context, the length of the screw driver from the given figure expressed to the nearest tenth of a centimeter is 17.1 cm.
It is also equivalent to [tex]$6\frac{3}{4}$[/tex] inch.
Write the number 6,800 in scientific notation.
Answer:
6.8*10^3
Step-by-step explanation:
Answer:
The answer is 6.8 × 103.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Ceci can drive 225 miles in 3 hours (Rate - 75)
How many hours does it take her to drive 1,125 miles?
Answer:
it'll take 15h for her to drive 1125 miles
Step-by-step explanation:
take 225 ÷ 3 then you get how many miles she drives in an hour which is 75
75 × 15 = 1,125
7. A car drives 50 miles in the first hour on the road, 70 miles during the 2nd hour and 10 miles for 1/2 hour (traffic jam), then 60 miles in the final half hour of the trip. What was the average speed for the entire trip?
Answer:
Step-by-step explanation:
Average Speed = Total Distance / Total Time
Total Distance = 50+ 70 + 10 + 60 = 190 Miles
Total Time = 1 + 1 + 1/2 + 1/2 = 3 hours
Average speed = 190 / 3 = 63.3 mph
what is the value of x
answer: since they are linear pair therefore
x+34+ 2x+2=180
3x+36=180
3x=144
x=48°
Step-by-step explanation:
second opinion: ex are useless forget them
Answer:
B) x=48
Step-by-step explanation:
Hope it helps
Which is larger, a pound or a kilogram? Explain your reasoning.
Answer:
kg
Step-by-step explanation:
1pound is 0.45kg
Answer:
Both pound and kilogram are units of measurement of weight or mass. A pound is an imperial unit of mass or weight. ... A kilogram (kg) is stated to be 2.2 times heavier than a pound (represented as lbs). Thus, one kilo of mass is equal to 2.26lbs. Step-by-step explanation:
You deposit $4000 in an account earning 4% interest compounded monthly. How much will you
have in the account in 15 years?
You deposit $4000 in an account earning 4% interest compounded monthly. After 15 years, you will have approximately $7224.44 in the account.
To calculate the future value of an account with compound interest, we can use the formula:
Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Time)
In this case, the principal (initial deposit) is $4000, the interest rate is 4% (or 0.04 as a decimal), and the compounding is done monthly, so there are 12 compounding periods in a year.
Substituting these values into the formula, we have:
Future Value = $4000 * (1 + (0.04 / 12))^(12 * 15)
Calculating this expression gives us:
Future Value ≈ $4000 * (1.003333)^180
Future Value ≈ $4000 * 1.806111
Future Value ≈ $7224.44
After 15 years, you will have approximately $7224.44 in the account, considering the given interest rate and compounding frequency.
For more such questions on deposit
https://brainly.com/question/29053212
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Over 5 days, Kimberly sheared 300 sheep. How many would she be able to shear in 26 days?
What was her rate per day?
Answer:
Kim shears 1560 sheep in 26 days.
Her rate per day is 60.
Step-by-step explanation:
For 26 days:
[tex]\frac{5}{300} =\frac{26}{x} \\\\5x=7800\\x=1560[/tex]
For per day:
[tex]\frac{5}{300} =\frac{1}{x} \\\\5x=300\\x=60[/tex]
HELP FAST
find the value of x.
Answer:
81=6x+3(vertically opposite angle are equal)
81-3=6x
78=6x
x=13°
hope it helps.
equivalent fractions for 2 1/5 and 1 5/6
Jesse is making fruit salad. She purchased 5 & 1/3 ounces of 6 different fruits. How many ounces of fruit did she purchase?
Answer:
32 ounces of fruits
Step-by-step explanation:
Given that :
Number of distinct fruits purcahed = 6
Number of ounces of each fruit = 5 1/3
The total ounces of fruits purchased :
(Number of distinct fruits purchased * Number of ounces of each fruit)
6 * 5 1/3 = 6 * 16/3
6 * 16/3 = (16 * 6) / 3 = 96 /3 = 32 ounces of fruits.
How was y'all day :)?
Please help it's for my sister