Use all the non-zero digits (below), but only once each, to make any set of prime numbers:
1 2 3 4 5 6 7 8 9
What is the sum of this set of prime numbers?
Can you get a smaller sum with a different set of primes? (What is the smallest possible sum?)​

Answers

Answer 1

Answer:

Hello,

Answer 207

Step-by-step explanation:

[5, 29, 47, 61, 83, 225]

[5, 29, 41, 67, 83, 225]

[5, 23, 47, 61, 89, 225]

[5, 23, 41, 67, 89, 225]

[2, 5, 7, 43, 61, 89, 207]

[2, 3, 5, 47, 61, 89, 207]

[2, 3, 5, 41, 67, 89, 207]

import sys

#-------------------------------------------------------

def see(txt,arr):

   print (txt,"=",end =" ")

   for i in range(1,10 ):

       if arr[i]:

           print (i,end=" ")

   print ()

#-------------------------------------------------------

def libre(p):

   if p==0:

       return True

   if p<10:

       a=p

       if not(used[a]):

           return True

   else:

       a=p//10

       b=p%10

       if not(used[a]) and not(used[b] ):

           return True

   return False

#-------------------------------------------------------

def store(p):

# on ne stock pas 0

   global used

   #print ("in store ",p)

   if p==0:

       return

   if p<10:

       used[p]=True

   else:

       a=p//10

       b=p%10

       used[a]=True

       used[b]=True

   return            

def isSol():

   global mini,k,mini_set,all_mini_set

   for i in range(1,10):

       if not used[i]:

           return False

   s=i_1+i_2+i_3+i_4+i_5+i_6+i_7+i_8+i_9

   if s <= mini[0]:

       if s < mini[0]:

           k=k+1

           

       mini[0]=s

       mini[1]=i_1

       mini[2]=i_2

       mini[3]=i_3

       mini[4]=i_4

       mini[5]=i_5

       mini[6]=i_6

       mini[7]=i_7

       mini[8]=i_8

       mini[9]=i_9

       

       a_set=sorted(set([i for i in mini if i >0] ))

       if (a_set not in all_mini_set):

           mini_set=a_set.copy()

           all_mini_set.append(a_set)

           print (a_set)

       #print (mini,end="")

   

       """

       see("used ",used)

       see("sav_9",sav_9)

       see("sav_8",sav_8)

       see("sav_7",sav_7)

       see("sav_6",sav_6)

       see("sav_5",sav_5)

       see("sav_4",sav_4)

       see("sav_3",sav_3)

       see("sav_2",sav_2)

       see("sav_1",sav_1)

       """

       #if k>2:

       #    sys.exit(0)

   return True

#-------------------------------------------------------

#╚ 0 : ne pas utiliser

jeu=[

    [],

    [0,13, 17, 19, 31, 41, 61, 71],

    [0,2,23,29],

    [0,3,13,23,31,37,43,53,73,83],

    [0,41,43,47],

    [0,5,53,59],

    [0,61,67],

    [0,7,17,37,47,67,71,73,79,97],

    [0,83,89],

    [0,19,29,59,79,89,97]

    ]

print ("-------------------------------------------")

for i in range(10):

   print (jeu[i])

print ("-------------------------------------------")

mini=[1000]+[0 for i in range(1,10) ]

mini_set={}    

all_mini_set=[]

used=[False for i in range(10 )]

sav_1=used.copy()

k=0

for i_1 in jeu[1]:

   used=sav_1.copy()

   if libre(i_1):

       store(i_1)

       sav_2=used.copy()

     

       for i_2 in jeu[2]:

           used=sav_2.copy()

           if libre(i_2):

               store(i_2)

               sav_3=used.copy()

               for i_3 in jeu[3]:

                   used=sav_3.copy()

                   if libre(i_3):

                       store(i_3)

                       sav_4=used.copy()

                       for i_4 in jeu[4]:

                           used=sav_4.copy()

                           if libre(i_4):

                               store(i_4)

                               sav_5=used.copy()

                               for i_5 in jeu[5]:

                                   used=sav_5.copy()

                                   if libre(i_5):

                                       store(i_5)

                                       sav_6=used.copy()

                                       for i_6 in jeu[6]:

                                           used=sav_6.copy()

                                           if libre(i_6):

                                               store(i_6)

                                               sav_7=used.copy()

                                               for i_7 in jeu[7]:

                                                   used=sav_7.copy()

                                                   if libre(i_7):

                                                       store(i_7)

                                                       sav_8=used.copy()

                                                       for i_8 in jeu[8]:

                                                           used=sav_8.copy()

                                                           if libre(i_8):

                                                               store(i_8)

                                                               sav_9=used.copy()

                                                               for i_9 in jeu[9]:

                                                                   used=sav_9.copy()

                                                                   if libre(i_9):

                                                                       store(i_9)

                                                                       isSol()

                                                               used=sav_9.copy()

                                                                       


Related Questions

Travis orders a new streaming system. He must pay $26 to join the service
then pays $6 per month. Write a numerical expression to represent Travis'
cost for 6 months of the stream service.

Answers

62=26+(6*6)

26+ Because you pay the 26 upfront

+(6*6) Because you pay $6 over 6 months

62 the total cost over 6 month

Use the graph of y=f(x)

Answers

The right answer is ( A )
Cause the function is shifted 2 units to the left
And it's shifted 3 units down

A shift is a rigid translation in that it does not change the shape or size of the graph of the function. All that a shift will do is change the location of the graph.

Shifts are added/subtracted to the x or f(x) components. If the constant is grouped with the x, then it is a horizontal shift, otherwise it is a vertical shift.

- My first language isn't english so I hope this helped a bit .

The diameter of a circular rug is 7 m. Find the area it will cover.

Answers

The area covered by circular rug of diameter 7 is 38.5 m².

What is the area of a circle?

Circle is locus of points equidistant from a center point. This distance from center to the boundary of circle is radius.

If r is the radius of a circle , then its Area = π(r²)

Given that a circular rug has diameter = 7 m

Then, Let radius of circular rug be  r ,r = diameter /2

r =  7/2 m

Area =  π(7/2)² = (22/7)*(7/2)² m² =  38.5 m²

Therefore , Area of the circular rug is 38.5 m²

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A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $10 a pound should be added to 30 pounds of coffee worth $4 a pound to get a mixture worth $6 a pound? To get a mixture worth $6 a pound, pounds of coffee should be added. (Type an integer, proper fraction, or mixed number.) what is this answer please need help


Answers

The weight of coffee worth $10 to be added to mixture to worth $6 a pound is 15 pounds the mixture will be  15 pounds

Let the weight of coffee worth $10 to be added to mixture be x pounds

The weight of coffee worth $4 to be added to mixture is 30 pounds

We want a mixture that worth $6 a pound

The weight of mixture of coffee worth $ 6 is the sum of $10 coffee and $4 coffee

    = x + 30

From the above equation we can form a linear equation

              X 10 + 30 ×4 = (x+ 30) 6

    10x + 120= 6x +180

    10x-6x= 180 -120

         4x = 60

               X= 15

Hence, the weight of coffee worth $10 to be added to mixture to worth $6 a pound is 15 pounds

what's a linear equation ?

A linear equation only has one or  variables. No variable in a linear equation is raised to a strength greater than 1 or used because the denominator of a fraction. while you discover pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all the factors lie at the same line

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Unit 1 geometry basics
Homework 5 angle relationships

Answers

Answer:

Where is the question?

In a poll of 225 randomly selected U.S. adults, 119 said they favored a new proposition. Based on this poll, compute a 95% confidence interval for the proportion of all U.S. adults in favor of the proposition (at the time of the poll). Then find the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.

Lower Limit:
Upper Limit:

Answers

Lower limit of 95% confidence interval is  0.464 and upper limit of 95% confidence interval is 0.594

What is Z value of 95% confidence interval and how to find 95% confidence interval?

A Z value is a numerical measure of how far is an individual score is from the mean score, within a normal distribution.

The Z value for 95% confidence interval is Z=1.96.

Let p the  estimated proportion of people in favor of a proposition and n be the sample size, n = 225

Marginal error = [tex]Z\sqrt{\frac{p(1-p)}{n} }[/tex]

Lower limit of 95% confidence interval = Z - Marignal error           

Upper limit of 95% confidence interval = Z + Marginal error

Given that in a poll of 225 randomly selected U.S. adults, 119 said they favored a new proposition,

The estimated proportion of people favored a new proposition is, p =[tex]\frac{119}{225}[/tex]

Then, p = 0.529

Marginal Error = [tex]Z\sqrt{\frac{p(1-p)}{n} } = 1.960\sqrt{\frac{0.529(1-0.529)}{225} }[/tex] = 0.065

Therefore,

Lower limit of 95% confidence interval   =0.529-0.065  = 0.464    

Upper limit of 95% confidence interval = 0.529+0.065 = 0.594

And the 95% confidence interval would be given (0.464,0.594).

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Give the domain and range of the relation.



{(6, 6), (11, -5), (3, 4), (3, -3)}

Answers

Answer:

Domain: {3, 6, 11}

Range: {-5, -3, 4, 6}

Step-by-step explanation:

The domain is the set of x values and the range is the set of y values.

Evaluate 5x, for x = 9

Answers

Answer:

Step-by-step explanation:

5(9) = 45

240 % of a number is 68000, what is that number

Answers

Answer:

28333.33

Step-by-step explanation:

68000/240% = 28333.33333333333

= 28333.33

Writing proportional equations from tables

Answers

The equation that represents a proportional relationship, or a line, is y = k x, where is the constant of proportionality. Use k = y x from either a table or a graph to find k and create the equation

Question 41

By the time Janet pays off the loan, what is the total cost of her trip?


Question 4 options:


$3,500



$4,441.17



$3,681.42



$3,685.05


Question 5

What is the equation to find your new balance after each month?


Question 5 options:


New balance = Previous balance - Interest paid



New balance = Previous balance - Principal paid



New balance = Principal paid - Interest paid



New balance = Previous balance - Total monthly payment

Answers

Доброе утро, отве    $3,500

A deck of cards contains RED cards numbered 1,2,3,4 and BLUE cards numbered 1,2,3,4,5. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.

Drawing the Blue 4 is an example of which of the following events? Select all correct answers.

Answers

Answer: what is question here?

Step-by-step explanation:

Where are answers?

Find the equation of a line parallel to y=−4x+3 that contains the point (3,−3).

HELPPP

Answers

Use point slope form and the same slope that’s in the given slope intercept form.
Because the slope is parallel, it’ll just be -4.
The point slope form is
y-y1=m(x-x1)
Substitute the variables for numbers where 3 is x1 and -3 is y1.

y-(-3)=-4(x-3)
Simplify.
y+3=-4x+12
Solve.
Subtract 3 on both sides.
y+3=-4x+12
-3 -3
y=-4x+9
Thus, y=-4x+9 is the solution.

Hope this helps.

Find x and y in the following figure.

Answers

Answer:

x=48, y=12

Step-by-step explanation:

Angles in a triangle add to 180°.

In triangle AOD,

[tex]90+x-6+x=180 \\ \\ 2x-6=90 \\ \\ 2x=96 \\ \\ x=48[/tex]

Similarly, in triangle COB, y=12.

Mr. McDahl has planned a day of independent work for his English students when they next have a substitute teacher. One-third of the students choose to work on an essay. One-half of the remaining students choose to read. The remaining 5 students work on vocabulary. How many students are present in the class on that day?

Answers

The total number of student present in the class is 15.

How to express the number of student in the class?

One-third of the students choose to work on an essay.

Let

x = the total number of student in the class

Therefore,

student that takes essay = 1 / 3 x

One-half of the remaining students choose to read.

Therefore, the expression is as follows

student that choose to read = 1 / 2(x - 1 / 3 x)  = 1 / 2( 3x - x/ 3) = 1 / 2(2 / 3 x) = 2 / 6 x = 1 / 3x

The remaining 5 students work on vocabulary.  Therefore, the expression is as follows:

Student that works on vocabulary = x - 1 / 3 x - 1 / 3 x

5 =  x - 1 / 3 x - 1 / 3 x

5 = 3x- x - x / 3

5 = x / 3

x = 15

Therefore,

the student present in the class = 1 / 3 (15) +  1 / 3(15) + 5

the student present in the class = 5 + 5 + 5

the student present in the class = 15

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A circle is centered at the origin and has a radius of 4 units. Which points on the circle have a y -coordinate of 3?

Answers

Answer:The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)

Step-by-step explanation:

The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)

The equation of a circle usually takes the form;

(x-a)² + (y-b)² = r²

where a and b are x- and y- coordinates of the center of the circle.

In this scenario, the center is at the origin (0,0).

In essence, the points on the circle which have an x-coordinate of 1 can be evaluated as follows;

(1-0)² + (y - 0)² = 4²

1 + y² = 16.

y² = 15

y = ±√15.

The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)

help please asap i need it

Answers

pearls = 26, pizzas = 2

Pearls Pizzas
39 6
26 4
13 2

# Simplify the following using the law of indices :
[tex]2a \times 3a {}^{2} [/tex]

Answers

Simplifying the given value using the law of indices is 6[tex]a^{3}[/tex]

2a * 3[tex]a^{2}[/tex]

=6[tex]a^{3}[/tex]

Index laws are the rules for simplifying expressions involving powers of the same base number.

Here are  the essential  steps to follow to simplify an algebraic expression:

Remove parentheses by multiplying factors.

Use exponent rules  to get rid of  parentheses in terms with exponents.

Combine like terms by adding coefficients.

Combine the constants.

Here's  differently  to explain it: The is used to refer to a specific or particular member of a group.  for instance , "I just saw  the foremost  popular movie of the year." There are many movies, but  just one  particular movie is the most popular.

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Look at this diagram:

C
D
E
F
G
H
I
J


If
DF
and
GI
are parallel lines and mFEH = 134°, what is mDEH?

Answers

Answer:

Step-by-step explanation:

ihe

R= S If m R =3x +5 an m S =5x-25 solve for x and find m R

Answers

The values of x and m∠R are 15 and 50 respectively.

How to determine the values

From the information given, we have the following parameters;

R = Sm ∠ R = 3x + 5m ∠ S = 5x - 25

Now, let's equate the angles

m ∠ R  = m ∠ S

3x + 5 = 5x - 25

collect like terms

3x - 5x = -25 - 5

subtract like terms

-2x = - 20

Make 'x' the subject

x = -30/ -2

x = 15

But m ∠ R = 3x + 5 = 3(15) + 5 = 45 + 5  = 50

Thus, the values of x and m∠R are 15 and 50 respectively.

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15 points

what is 1+1 guys

Answers

Answer:

2

Step-by-step explanation:

For f(x) = 2 - x and g(x)= 3x +x+5, find the following functions.
a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2)
a. (fog)(x)=-3x²-x-3
(Simplify your answer.)
b. (gof)(x) = 3x² - 13x+19
(Simplify your answer.)
c. (fog)(2)= -17
d. (gof)(2)= ?

Answers

The answers are below.

a) (fog)(x) = f(g(x)) = 2 - ( 3x² +x+5) = -3x² - x - 3

b) (gof)(x) = g(f(x)) = 3*(2 - x)² + (2 - x) +5 = 3x² - 13x + 19

a) (fog)(2) =  -3x² - x - 3 = -3*4 - 2 - 3 = -12 - 2 - 3 = -17

b) (gof)(2) = 3x² - 13x + 19 = 3*4 - 13*2 + 19 = 12 - 26 + 19 = 5

How to find the following functions?

Just replace evaluate the function g(x)= 3x² +x+5 insode of the function f(x) = 2 - xfor the first one.

a) (fog)(x) = f(g(x)) = 2 - ( 3x² +x+5) = -3x² - x - 3

b) (gof)(x) = g(f(x)) = 3*(2 - x)² + (2 - x) +5 = 3x² - 13x + 19

ok, now that you have these two values, just evaluate the equations in x = 2 to get the rest.

a) (fog)(2) =  -3x² - x - 3 = -3*4 - 2 - 3 = -12 - 2 - 3 = -17

b) (gof)(2) = 3x² - 13x + 19 = 3*4 - 13*2 + 19 = 12 - 26 + 19 = 5

These are the outcomes when we evaluate the compositions in x = 2.

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the bookstore sold 8 books for 66$ at that rate how much would one book be.

Answers

8 dollars and 25 cents :)

which data set would be best represented by a line graph?
j the change i population of a particular city over the last 100 years
k. the percentage of recent u.s. immigrants from different continents
l. the numbger of people living in each region of a state
m. the wages in dollars per hour o store employees
n. the heights oan weights of people in a city

Answers

The data set which would be best represented by a line graph is; Choice j: The change in population of a particular city over the last 100 years.

Which is best represented by a line graph?

It follows from the task content that the data set which is best represented by a line graph is.to.he identified.

On this note, since choice J measures the change in a dependent quantity, population according to a change in the independent variable, time.

Consequently, choice J is best represented by a line graph.

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Help asap im struggeling

Answers

The range and domain for the exponential function and logistics function are Expotentioal function : Domain= (2,  infinity )

Exponential function:

An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent. An example of an exponential function is the growth of bacteria. Some bacteria double every hour.

In exponential notation, a number usually is expressed as a coefficient between one and ten times an integral power of ten, the exponent. To express a number in exponential notation, write it in the form: c × 10n, where c is a number between 1 and 10 (e.g. 1, 2.5, 6.3, 9.8) and n is an integer (e.g. 1, -3, 6, -2

Definition of logarithmic function: a function (such as y = log x or y = ln x) that is the inverse of an exponential function (such as y = ax or y = ex) so that the independent variable appears in a logarithm.

Expotentioal funtion :

Domain= (2,  infinity )

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The exponential function's and the logistical function's range and domain are Exponential purpose: Domain= (2, infinite ) (2, infinity )

Explicit function

A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.

When b > 0 and b 1, an exponential function has the form f(x) = bx. The base is b, and the exponent is x, just like in any exponential expression. The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour.

The exponential function's and logistics's domain and range

When b > 0 and b 1, an exponential function has the form f(x) = bx. The base is b, and the exponent is x, just like in any exponential expression. The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour.

A number is typically written in exponential notation as a coefficient between one and ten times an integral power of ten, the exponent. When writing a number in exponential notation, use the format: c 10n, where c is an integer and n is a number between 1 and 10 (for example, 1, 2.5, 6.3, 9.8).

A logarithmic function is one that is the inverse of an exponential function, such as y = ax or y = ex, and causes the independent variable to appear in a logarithm. Examples of such functions include y = log x and y = ln x.

Expotentioal funtion :

Domain= (2,  infinity )

which number class does -17 belong to

Answers

The abstract class Number is the superclass of classes BigDecimal , BigInteger , Byte , Double , Float , Integer , Long , and Short .

Step-by-step explanation:

The bar graph shows how we spend our leisure time. Use the graph to represent the set of leisure activities in
which participation exceeds 59% using the roster method.
Choose the set of leisure activities in which participation exceeds 59%
O (Playing Sports, Home Improvement, Amusement Parks, Gardening, Movies, Exercise)
O (Movies, Exercise)
O (Exercise)
O (Gardening, Movies, Exercise)
an example
6
Get more help.
% Households Participating in Activity
Exercise
Movies
Gardening
Amusement Parks
Home Improvement
Playing Sports)
Sport Events
61%
60 %
55%
51%
47%
39 %
37%
Clear all
bl
C

Answers

Therefore, the set of leisure activities in which participation exceeds 59% can be written using roster - form as follows -

A = {Exercise, movies}.

What is Bar graph?

A bar graph can be defined as a chart or a graphical representation of data, quantities or numbers using bars.

Given is a bar graph that shows the time spend in leisure activities.

The set of leisure activities in which participation exceeds 59% can be represented in roster form by writing all such activities one by one separated by commas inside the parenthesis bracket { }. From the bar-graph it is clear that the activities in which participation exceeds 59% are Exercise and movies. In the roster form, we can write them as -

A = {Exercise, movies}.

Therefore, the set of leisure activities in which participation exceeds 59% can be written using roster - form as follows -

A = {Exercise, movies}.

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https://brainly.com/question/379126

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Part C Explain the similarities and the differences between the two relationships in this situation.

Answers

Answer:

well I can't really answer I'm just gonna give you an example say the the difference between the relationship and situation about cups the relationship would be the cup and the situation is the size

[estimate] 245.7+5.8=?

Answers

Answer:

estimate 245.7+5.8

251.5

-3+p/7=-5 help step by step please ???

Answers

here’s an explanation! let me know if you need further clarification
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