Find the least positive integer, written only by numbers 0, 1 and 2, which is divisible by 225.

Answers

Answer 1

9514 1404 393

Answer:

  1,222,200

Step-by-step explanation:

A search using a computer program found ...

  5432 × 225 = 1,222,200

__

1000 mod 225 = 100

4 × 225 = 900

This suggests that if we have some number of thousands whose digits total 9, that we will have the number of interest. Of course, we can add 200 to some number of thousands with a digit total of 7. The smallest such digit total will be had with the number 1222 using the specified digits {0, 1, 2}. This gives rise to the result above: 1222×1000 +200 = 1,222,200. It also explains why moving the 1 to the right will also give a multiple of 225.


Related Questions

Question 14(Multiple Choice Worth 5 points)
Find all polar coordinates of point P where P = negative pi divided by 6.

(1, negative pi divided by 6 + (2n + 1)π) or (-1, negative pi divided by 6 + 2nπ)
(1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + 2nπ)
(1, negative pi divided by 6 + 2nπ) or (1, pi divided by 6 + (2n + 1)π)
(1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + (2n + 1)π)

Answers

Answer:

Find all polar coordinates of point P where P = (5 , -pi+%2F6 ).

There are two sets of possibilities.

(1) Same (positive) magnitude and an angle that is the same as the given angle, or differs from the given angle by an even multiple of pi:

P = (5, -pi%2F6%2B2n%2Api )

(2) Opposite (negative) magnitude and an angle that differs from the given angle by an odd multiple of pi:

(-5, -pi%2F6%2B%282n%2B1%29pi)

answer is: (5,-pi%2F6+%2B+2n%2Api) or (-5, -pi%2F6%2B%282n%2B1%29pi)

Answer:

negative pi divided by 6 + (2n + 1)π) or (-1, negative

PLease Help! I will give you the brainiest and a lot of points

A survey of 104 college students was taken to determine the musical styles they liked. Of​ those, 22 students listened to​ rock, 23 to​ classical, and 24 to jazz.​ Also, 10 students listened to rock and​ jazz, 8 to rock and​ classical, and 8 to classical and jazz.​ Finally, 6 students listened to all three musical styles. Construct a Venn diagram and determine the cardinality for each region. Use the completed Venn Diagram to answer the following questions.

a. How many listened to only rock​ music?
n​(only ​rock)

b. How many listened to classical and​ jazz, but not​ rock?
n​(classical and​ jazz, not ​rock)

c. How many listened to classical or​ jazz, but not​ rock?
n​(classical or​ jazz, not ​rock)

d. How many listened to music in exactly one of the musical​ styles?
n​(exactly one ​style)

e. How many listened to music in exactly two of the musical​ styles?
n​(exactly two ​styles)

f. How many did not listen to any of the musical​ styles?
n​(none)

Answers

Answer:

A. 22

B. 8

C. 23 + 24

D. 22 + 23 + 24

E. 8 + 8 + 10

F. 104 - (sum of all the given numbers) = 3

A line passes through the point (12,-4) and is perpendicular to the line with the equation y=6x +3

Answers

Answer:

y= -(1/6)x -2

Step-by-step explanation:

We know:

y= mx +b is the general equation of the line

Was given:

y= 6x +3, has the slope m=6

Find the equation of the line

y= -(1/6)x + b, perpendicular lines have their slope negative reciprocal m=-1/6

Find the y-intercept that is b

for point (x=12, y= -4) the equation of our line becomes

-4 = -(1/6)(12) + b, multiply a fraction and a number  (a/b)*c = ab/c

-4 = -12/6 +b, simplify the fraction

-4 = -2 + b , add 2 to both sides

-4+2 = -2+2 +b , solve for b

-2 = b

The equation of the line that passes through the point (12,-4) and is perpendicular to the line with the equation y=6x +3 is :

y= -(1/6)x -2

solve 8x=5x+3 pls pls pls​

Answers

Answer:

x = 1

Step-by-step explanation:

8x = 5x + 3

Subtract 5x from both sides

8x - 5x = 5x - 5x + 3

Simplify

3x = 3

Divide both sides by 3

3x/3 = 3/3

Simplify

x = 1

Please help it’s due today

Answers

Answer:

67 degrees

Step-by-step explanation:

23 + 90 = 113

180 - 113 = 67

domain of function y=|x|​

Answers

Answer:

All real number

Step-by-step explanation:

The graph of y = x is shown to the right. We can see that it is defined for all x-values because the line will continue to infinity. Thus, the domain of y = x is all real numbers.

Hope this help <3

the sum of 2 numbers is 18 and there difference is 6

Answers

Answer:

The two numbers are 6 and 12.

Step-by-step explanation:

So, let's start off, with x+y = 18 and x-y = 6.

Algebraically, we can add the above two equation sets, and we find out that 2x = 24, so x = 12. And then, it says the other number must be 6.

You start with a number that when added to the second number you will get 18 and when you subtract the second number from the first you will get 6. The difference between the above two results is 12.

So that difference of 12 is twice the second number; that means the second number is 6. And then using either of the given pieces of information, you can find that the first number is 12.

------------------------------------------------------

In conclusion:

6 + 12 = 18

12 - 18 = 6

What is the missing digit?
820,107
– 65□,084

167,023

Answers

3.

We can get this answer by subtracting the answer 167,023 from 820,107, we get 653,084.

solve: x^2-x-12÷x+5 ≥ 0

Answers

Answer:

Step-by-step explanation:

x3−x2+5x−12

x

≥0

Let's find the critical points of the inequality.

x3−x2+5x−12

x

=0

x3−x2+5x−12=0(Multiply both sides by x)

(Use cubic formula)

x=1.836169

Check possible critical points.

x=1.836169(Works in original equation)

Critical points:

x=1.836169(Makes both sides equal)

x=0(Makes left denominator equal to 0)

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<0(Works in original inequality)

0<x≤1.836169(Doesn't work in original inequality)

x≥1.836169(Works in original inequality)

Answer:

x<0 or x≥1.836169

Find the area of each shaded region.

Answers

The answer in photo don't forget put heart ♥️

What will the height of the firework be 3 seconds after the launch? How many seconds after the launch will it take for the firework to fall to the same height again?

Answers

Answer:

524m

Step-by-step explanation:

What is the
range of the function in the graph?

Answers

Answer:

Step-by-step explanation:

A resposta é a letra a

solve for x please help (show work!)

Answers

Answer:

x = 1/2 or 0.5

Step-by-step explanation:

8(-2x + 1) = 0

Distribute the 8 by multiplying 8 by what's inside of the parenthesis (-2x and 1)

8 * -2x = -16x

8 * 1 = 8

We now have

-16x + 8 = 0

Subtract 8 from both sides

-16x + 8 - 8 = 0 - 8

-16x = -8

Divide both sides by -16

-16x/-16 = -8/-16

x = 1/2

G I V E N :

8( -2x + 1 ) = 0

S O L U T I O N :

8( -2x + 1 ) = 0

Simplify the left hand side

-16x + 8 = 0

Transposing -16x to the other side

8 = 16x

Cross multiplying we get

x = 8/16

x = ½

x = 0.5

Hence the value of x is 0.5 or ½

87.26+(-25.6)+(-5.4)

Answers

Answer:

= 87.26 + (-25.6) + (-5.4)

=87.26- 25.6 - 5.4

= 87.26 - 31

= 56.26

✌✌✌✌✌

find laplace transform of t+t^2 +t^3

Answers

Recall that

[tex]L_s\left\{t^n\right\} = \dfrac{n!}{s^{n+1}}[/tex]

where [tex]L_s\left\{y(t)\}[/tex] is the Laplace transform of y(t) into the s-domain.

Then you have

[tex]L_s\left\{t+t^2+t^3\right\} = \dfrac{1!}{s^{1+1}} + \dfrac{2!}{s^{2+1}} + \dfrac{3!}{s^{3+1}} = \boxed{\dfrac1{s^2} + \dfrac2{s^3} + \dfrac6{s^4}}[/tex]

Find the missing side of the triangle

Answers

Answer:

approximately 12.7

Step-by-step explanation:

using phythagoras rule,

hyp²=opp²+ adj²

15²=x² + 8²

225=x² + 64

x²=225 - 64

x²= 161

x=12.7

OR

sin ø= 8/15

sin ø=0.53333333

ø=sin(inverse) of 0.53333333

ø=0.563⁰

therefore angle opposite 8 is 0.563

tan 0.563= 8/x

x tan 0.563=8

x= 8/tan 0.563

x= 12.7

Compare 8/3 and 19/8.

Answers

Answer:

8/3 > 19/8

Step-by-step explanation:

Get a common denominator

8/3 *8/8 = 64/24

19/8 *3/3 =57/24

Comparing the numerators

64>57

8/3 > 19/8

The table shows a set of conditional relative frequencies of drivers in a survey planning to buy a used vehicle next, based on how they obtained their current vehicle.

Which interpretation of the relative frequencies given is the most appropriate?

A. The greatest number of drivers who plan to buy used are those who leased their current vehicle.
B. The majority of drivers who will buy used next time bought their current vehicle used.
C. Of drivers who bought their current vehicle used, about 4 percent will buy new next time, almost 95 percent will buy used next time, and about 1 percent will lease next time.
D. Of drivers who bought new, 3.9 percent will buy used next time; of drivers who bought used, 94.8 percent will buy used again; of drivers who leased, 1.3 percent will buy used.

Answers

The majority of drivers who will buy used next time bought their current vehicle used. The correct option is B.

What are statistics?

Any affiliations, financing, or financial holdings that could be seen as influencing the review's objectivity to give rise to potential bias.

Such elements might consist of, but are not limited to, the following: Employment, professional associations, paid consulting, and participation in groups that support relevant causes.

The given table is:-

Current vehicle      Buy used

Bought new             0.039

Bought Used           0.948

Leased                     0.013

Total                         1.000

In the given table it is observed that the majority of drivers who will buy used next time bought their current vehicle used. The correct option is B.

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What will be the value of median of a moderately asymmetrical distribution? If the mean and mode are 30 and 24 respectively.

Answers

The mean, the median and the mode are measures of central tendency, and they are related in some many ways, depending on the type of distribution.

The median of the moderately asymmetrical distribution is 26

The given parameters are:

[tex]Mean = 30[/tex]

[tex]Mode = 24[/tex]

For a moderately asymmetrical distribution, the mean, median and mode are related by the following equation:

[tex]Mode = 3 * Median - 2 * Mean[/tex]

Substitute known values

[tex]30= 3 * Median - 2 * 24[/tex]

[tex]30= 3 * Median - 48[/tex]

Collect like terms

[tex]3 * Median =30+ 48[/tex]

[tex]3 * Median =78[/tex]

Divide both sides by 3

[tex]Median =26[/tex]

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The average of a group of data points is called the

Answers

Answer:

mean

Step-by-step explanation:

The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order. If a data set has an even number of values, the median is the mean of the two middle values.

Average mean..... I

Mia wants to buy 3 notebooks for $1.29 each. What is the expression for the total cost?

Answers

Step-by-step explanation:

Mia want to buy 3 notebook for $1.29 each ,

then total cost =3×1.29

hence, 3×29

1\6+1/12+2/6=2+1+4/12

=7/12

An asset's book value is $43,200 on January 1, Year 6. The asset is being depreciated $600 per month using the straight-line
method. Assuming the asset is sold on July 1, Year 7 for $29,400, the company should record:

Answers

Assuming the asset is sold on July 1, Year 7 for $29,400, the company should record the asset's value as equal to $32,400.

The book value of the asset on January 1, Year 6 was $43,200.The asset is being depreciated at $600 per month using the straight-line method.The asset was sold on July 1, Year 7 for $29,400.The amount of time elapsed until the asset is sold is 18 months.The time elapsed can be considered as the "x-coordinate".The asset's value can be considered as the "y-coordinate".The rate of depreciation can be considered as the slope of the line.The equation formed from the given data is given below :(y-y1) = m(x-x1)y-43,200 = (-600)(18)y = 43,200-10,800y = 32,400

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Find each question solutions.Please

Answers

Answer:

Dependent variable = Total daily cost

Independent variable = number of items manufactured

2500 ;

9750

Step-by-step explanation:

Given the cost function in. A manufacturing company :

C(x) = 7.25x + 2500 ; Where

C(x) = total daily cost

x = number of items manufactured

The Independent variable is the variable whose value causes a change in the measured variable, this is the number of items manufactured, and the variable which charges as the predictor variable charges is the dependent variable (Total daily cost).

2.)

C(0) ;

C(x) = 7.25x + 2500

Put x = 0

C(0) = 7.25(0) + 2500

Cost = 2500

This is the total daily cost even if no items are produced, this is probably the fixed cost of daily production.

3.)

C(1000)

C(x) = 7.25x + 2500

Put x = 1000

C(0) = 7.25(1000) + 2500

Cost = 7250 + 2500

Cost = 9750

This is the total cost including variable cost of producing 1000 items.

Which statements are true of functions? Check all that apply.

Answers

Where the rest of the question?

Answer:

All functions have a dependent variable.

All functions have an independent variable.

A horizontal line is an example of a functional relationship.

Need answers in 2 minutes ASAP

Answers

Undo multiplying by 3/5 by multiplying by the reciprocal or dividing by 3/5.
That would be my answer, although it kind of depends on what you are learning at the moment… hope this helps!

Please Help Polygons

Answers

Step-by-step explanation:

5.25....................

What is the reciprocal of 0.025 (not -0.025)

Answers

Answer:

1000/25 or 40

Step-by-step explanation:

~ A reciprocal is the fraction's reverse

For example 2/3=3/2

.025 is also 25/1000

The reverse of 25/1000 is 1000/25

Simplified into 40 wholes

1000/25 is the reciprocal of 0.025

What is Fraction?

A fraction represents a part of a whole.

Given,

Decimal value is 0.025

Zero point zero two five.

Firstly let us convert this to the fraction form.

When twenty five is divided by thousand we get 0.025

25/1000=0.025

So the fraction is 25/1000.

Now we need to find the reciprocal of fraction 25/1000.

Reciprocal means the numerator changes to denominator and denominator changes to numerator.

So 25/1000 reciprocal is 1000/25

Hence, 1000/25 is the reciprocal of 0.025

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find coordinate of a point on x axis which is at a distance of 5 units from (5,4)​

Answers

Step-by-step explanation:

Hi there!

Please see attached picture for your answer.

Hope it helps!

Se o preço de 8 potes de nutella é 288 reais, qual e o preço se 5 potes de Nutella

Answers

Carrefour – R$ 18,99.
Dia – R$ 21,19.
Futurama – R$ 19,99.
Hirota – R$ 19,78.
Mambo – R$ 19,90.
Pão de Açúcar – R$ 20,90.
Pastorinho – R$ 19,90.
Sonda – R$ 19,99.

Kane's Furniture Store advertised a table at ​9% discount. The original selling price was ​$109​, and the sale price was ​$100. Was the sale price consistent with the​ ad? Explain.

Answers

Answer:

No, the sale price wasn't consistent with the ad

Step-by-step explanation:

The original selling price is 109. 9% of 109 is 9.81. So the sale price should be 99.19.

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