What is the smallest perfect square that can be written as the sum of three different prime numbers?

Answers

Answer 1

Answer:

19 is the smallest prime number that is the sum of three different prime number.

Step-by-step explanation:

To find this:

   2 is the only even prime number and other prime numbers are odd

   adding any two prime number always gives even number.

   so the least numbers that are required to do is 3,5 and 7; their sum is 15

   so any prine number less than 15 is not possible for this question

   so, the next prime number is 17

   17 minus any other prime no less 17 are13,11,7.5.3,2 give the number that   4,6,10,12,14,15 which are not sum of any two different prime numbers

   

so the answer is 19=11+5+3.

Answer 2

The smallest perfect square that can be written as the sum of 3 different prime numbers is; 16.

Prime numbers are numbers that can be divided by only themselves and 1.

Now, we want to find the smallest perfect square that can be written as the sum of three prime numbers and so let us list the perfect squares from 1 to 30.

       They are; 4, 9, 16, 25.

Now, for 4; sum of 3 different prime numbers cannot work here because it will give us 1 + 2 + 3 = 5.

For 9; sum of 3 different prime numbers cannot work here because it will give us 2 + 3 + 5 = 10.

For 16; sum of 3 different prime numbers will work here because it will give us 2 + 3 + 11 = 16

Thus, the smallest perfect square that can be written as the sum of 3 different prime numbers is 16.

Read more at; https://brainly.in/question/17539113


Related Questions

Slope and y intercept please help im stuck on this problem

Answers

-4 -2(-4)+8 16 (-4,16)
-2 -2(-2)+8 12 (-2,12)
0 -2(0)+8 8 (0,8)
2 -2(2)+8 4 (2,4)
4 -2(4)+8 0 (4,0)

m=-2
b=8

ln (2x^2) = ln (2-3x)

Answers

Answer: Forma Decimal: -2, 0.5

which is not a equivalent to Ax+by=c?​

Answers

Answer:y=c/b -A/b

Step-by-step explanation:

An emperor penguin travels a distance of 70 miles each year back to the place of its birth. If that same penguin moves at a speed of 2.4 miles per hour, the function d = 70 – 2.4t represents its distance d from its birthplace t hours after it has started its journey home. Find the zero of this function.

Answers

Answer:

29.17 hours

Step-by-step explanation:

to find the zero of the function, set d to equal zero, so

0 = 70 - 2.4t

-70 = -2.4t

-70/-2.4 = t

29.17 = t

In a​ company, 55 ​% of the workers are women . If 2205 people work for the company who​ aren't women ​, how many workers are there in​ all?

Answers

Answer:

4900

Step-by-step explanation:

If 55% of workers are women, then 45% are not; therefore, we need to answer the following:

2205 is 45% of what number?

2205=45%x

2205/.45=x

4900=x

True or False: A justification is a statement of the reason for each step in a proof.

Answers

Answer:

Step-by-step explanation:

False.

Write the equation y=3/4x+4 in standard form

Answers

Answer:

3x-4y=-16

Step-by-step explanation:

At a​ little-known vacation​ spot, taxi fares are a bargain. A 18​-mile taxi ride takes 21 minutes and costs ​$12.60. You want to find the cost of a 39​- mile taxi ride. What unit price do you​ need?

Answers

Given :

A 18​-mile taxi ride takes 21 minutes and costs ​$12.60.

To Find :

The cost of a 39​- mile taxi ride. What unit price do you​ need.

Solution :

Unit price per mile :

[tex]p=\dfrac{12.60}{18}\\\\p = \$0.7\ /mile[/tex]

Cost of 39 mile taxi ride :

[tex]C = 39\times p\\\\C=39\times 0.7\\\\C=\$27.3[/tex]

Therefore, unit price is $27.3 and unit price is $0.7 / mile .

Hence, this is the required solution.

Denise gets paid $600 an hour plus $430 commission on her sales. If her paycheck this week was $700, how many hours did she work?

Answers

To me this this question really doesn’t make that much sense so the best possible answer would be 1 hr

question is in picture​

Answers

Answer

Red is -19

Green is -24

Blue is -14

Purple is 17

Step-by-step explanation:

I don't really know what to do but...

Hope I helped.

Answer:

13,24,24,-10

Step-by-step explanation:

when the negatives are in the front it makes a positive number and two negative numbers can make a positive number also. but when the negative number is the second number it will make a negative number.

Solve the following equation show your work x^2-4=0

Answers

Answer:

x = 2, x = - 2

Step-by-step explanation:

Step 1:

x² - 4 = 0            Equation

Step 2:

x² = 4         Add 4 on both sides

Step 3:

x = [tex]\sqrt{4}[/tex]       Square 4

Answer:

x = 2, x = - 2

Hope This Helps :)

Which expression is equivalent to 89÷34?
F.84 • 93
G.89 • 43
H.98• 34
J.98• 43

Answers

Answer:

ok

Step-by-step explanation:

kin

Help me please:) I don’t understand this question

Answers

are there options to the question or do you have to write it

9514 1404 393

Answer:

  3x -4y = 12

Step-by-step explanation:

There are a number of different forms of the equation of a line. A few are ...

  y = mx + b . . . . slope-intercept form

  y -k = m(x -h) . . . . point-slope form

  x/a +y/b = 1 . . . . intercept form

  ax +by +c = 0 . . . . general form

  ax +by = c . . . . standard form

In "standard form", the coefficients a, b, c are mutually prime integers (have no common factors) and the leading coefficient (usually, 'a') is positive.

__

Given this graph, there are several ways to get to a standard form equation. Perhaps the quickest is to start with intercept form. We can see from the graph that the x-intercept is 4 and the y-intercept is -3. So, we can write the equation of the line in intercept form as ...

  x/4 +y/(-3) = 1

Multiplying this by 12 clears the fractions and gives us standard form:

  3x -4y = 12

(-6x - 8) - (8x-9) subtract the expressions

Answers

Answer:

pic below

Step-by-step explanation:

help i will mark brainliest

Answers

sharice is right. x=21

Graph y+3=5(x-4) please quickly

Answers

Answer:

It crosses through 0,-23) and (4.6,0)

Step-by-step explanation:

A job requires 230' of metal conduit. The conduit comes in 8' sections.
How many sections of conduit will you need to complete this job?

Answers

Divide total length needed by length of a piece:

230/8 = 28.75

Round up to 29

They need 29 pieces

help me please!!!!!!

Answers

Answer: 81.

Step-by-step explanation:

( (3^4) ^ 1/4) ^ 4

Your friend said that in order to determine the constant of proportionality, the independent variable (x) should be divided by the dependent variable (y). Do you agree? Explain.

Answers

I do because x divided by y is the constant because y=kx

Write an equation for the line represented in the graph below.

help​

Answers

An equation for the line presented in the graph would be y=0x+4

A ball is thrown from an initial height of 6 feet with an initial upward velocity of 18 fts. The ball's height h (in feet) after t seconds is given by the
following
h=6+18t-16t^2
Find all values of t for which the ball's height is 10 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

Answers

Answer:

gvjjggrhwu ehsi38202 wisbebwjise jwiwooq the ans is the tahat fusne jiow sjxixksbsbs dbx


The population density of Iceland, in people per square kilometer of land area, increased from 2.5 in 1990 to
3.3 in 2014. During this time period, the land area of Iceland was 100,250 square kilometers. By how many
people did Iceland's population increase from 1990 to 2014?
A 330,825
B 132,330
C 125,312
D 80,200

Answers

Given:

The population density of Iceland, in people per square kilometer of land area, increased from 2.5 in 1990 to  3.3 in 2014.

Land area of Iceland = 100,250 square kilometers.

To find:

The Iceland's population increase from 1990 to 2014.

Solution:

Land area of Iceland is constant, i.e., 100,250 square kilometers.

The population density of Iceland, in people per square kilometer of land area in 1990 is 2.5.  So, the population in 1990 is

[tex]2.5\times 100,250=250,625[/tex]

population density of Iceland, in people per square kilometer of land area in 2014 is 3.3.  So, the population in 2014 is

[tex]3.3\times 100,250=330,825[/tex]

The Iceland's population increase from 1990 to 2014 is

[tex]330,825-250,625=80,200[/tex]

Therefore, the correct option is D.

​A rocket ship travels at 2.0×104 miles per hour. If a satellite is 2.5×105 miles from​ Earth, how long will it take the rocket to make the trip from Earth to the​ satellite? (Hint: Divide the distance to the satellite by the​ speed.) Write your answer in scientific notation.

Answers

Answer: Time taken =1.25 x 10^1 hours 0r  4.5 x 10^4s

Step-by-step explanation:

Step 1

how long will it take the rocket to make the trip from Earth to the​ satellite = Time taken for the rocket to make the trip from Earth to the​ satellite

Speed = Distance / Time ,

Time = Distance / speed

Step 2-- solving

Time = Distance / speed

Time=2.5×10^5 miles/2.0×10^4 miles per hour

=12.5 hours  = 1.25 x 10^1 hours

or 1.25 x 10^1 hours  x 3600 = 45,000 seconds = 4.5 x 10^4s

what is the answer A 3-pack of light bulbs costs $3.45. A 4-pack of the same light bulbs costs $4.20.

Which pack has better value?

Enter the correct answer in the box.

Answers

Answer:

Step-by-step explanation:

Answer: The pack with the better value is the 4 pack!

$3.45/3 = 1.15 per bulb

$4.20/4 = 1.05 per bulb

Step-by-step explanation:

2(5x - 3) - 4 = x + 4 solve for x and show work

Answers

Answer:

x= 14/9 = 1 5/9

Step-by-step explanation:

Use the distributive property to multiply 2 by 5x−3.

2(5x−3)−4=x+4

Subtract 4 from −6 to get −10.

10x−6−4=x+4

Subtract x from both sides

10x−10=x+4

Combine 10x and −x to get 9x.

10x−10−x=4

Add 10 to both sides.

9x−10=4

Divide both sides by 9.

x=  14/9

Please mark brainliest.

​  

 

1. distribute --> 10x-6-4=x+4
2. do -6-4 --> 10x-10=x+4
3. add 10 on both sides --> 10x=x+4+10
4. subtract x on both sides and simplify equation --> 9x=14
5. divide both sides by 9 --> x=14/9

find where the two lines intersect.Please help

Answers

7. (4,5) 8. (5,-3) hope that helps

A producer received rupees 10000 when the price of a commodity was rupees 100 per unit. The receipts increased to rupees 15000 when price increased by rupees 20.Calculate the elasticity of supply?

Answers

Answer:

Price Elasticity of Supply = 1.25

Step-by-step explanation:

Price      Quantity        Total Revenue ( P x Q)

100     10000/100 = 100       10000

120      15000/120 = 125        15000

Price Elasticity of supply is change in quantity supplied, due to change in price. Formula : (dQ / dP) x (P / Q)

(125 - 100) / (120 - 100)   x (100/100)

= 25/20 = 1.25

Your mother gave you $13.32 with which to buy a present. This covered 3/5 of the cost. How much did the present cost?

A. Find the answer.

B. Write a formula for the problem.

Answers

Answer:

a. $22.2

b= 13.32/x=3/5

Step-by-step explanation:

13.32/x=3/5

13.32×5=66.6

66.6/3=22.2

x(present cost)=$22.2

Answer:

22.20$

3/5 * cost = 13.32

Step-by-step explanation:

3/5 * cost (total price) = 13.32 (we know that 3/5 of the price is 13.32)

to solve

5/3 to cancel out 3/5 and isolate the cost

5/3 * 13.32 = 22.20

please help i’ll give brainliest (find the actual perimeter in meters)

Answers

Answer:

0.09 m

Step-by-step explanation:

hope this helps you :):)

Find the slope of the line.Enter your answer in simplist form (-6,10) (-3,-2)

Answers

Answer:

-4

Step-by-step explanation:

I know this becasue I did it before but also becasue I checked my work with a slope calculator. You should use one if you don't want to hand do the work. If you do want to do the work it is y2-y1 over x2-x1 :)

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