Answer:
30,031 is not a prime, is a composite number. Integer prime factorization, as a product of prime factors: 30,031 = 59 x 509.
Step-by-step explanation:
Let's learn by having an example, take number 220 and build its prime factorization.
0) We need the list of the first prime numbers, ordered from 2 up to, let's say, 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Prime numbers are the building blocks of the composite numbers' prime factorization process.
1) Start by dividing 220 by the first prime number in our list, 2 (start with the smallest prime number). We could have skipped the division by 2 if our number were an odd number, ie. 221.
220 ÷ 2 = 110; remainder = 0 => 220 is divisible by 2 (2 | 220) => 2 is a prime factor of 220. => 220 = 2 × 110.
2) Divide the result of the previous operation, 110, by 2, again:
110 ÷ 2 = 55; remainder = 0 => 110 is divisible by 2 (2 | 110) => 2 is once again a prime factor of 220 => 220 = 2 × 2 × 55.
3) Divide the result of the previous operation, 55, by 2, again:
55 ÷ 2 = 27 + 1; remainder = 1 => 55 is not divisible by 2.
4) Move on, divide 55 by the next prime number, 3 (notice that the sum of digits of 55 is 5 + 5 = 10 is not divisible by 3, so 55 is not divisible by 3):
55 ÷ 3 = 18 + 1; remainder = 1 => as we already said, 55 is not divisible by 3.
5) Divide 55 by the next prime number, 5:
55 ÷ 5 = 11; remainder = 0 => 55 is divisible by 5 (5 | 55) => 5 is yet another prime factor of 220 => 220 = 2 × 2 × 5 × 11.
6) Notice that the remaining number, 11, is also a prime number, so we've got already all the prime factors of 220.
7) Conclusion, 220 prime factorization: 220 = 2 × 2 × 5 × 11.
This can be written in a condensed form, in the exponent notation: 220 = 22 × 5 × 11.
solve for x: 3/4x5/4=4x
Answer:
x = 0
Step-by-step explanation:
What happens to the oxygen released during photosynthesis?
A. The oxygen atoms react with hydrogen atoms and produce water
molecules
B. The oxygen atoms are released from the atmosphere into space.
C. The oxygen atoms diffuse through the atmosphere and are
inhaled by animals.
D. The oxygen atoms diffuse through the atmosphere and are reused
as a reactant for photosynthesis.
Answer:
I believe your answer is C, the oxygen atoms diffuse through the atmosphere and are
inhaled by animals.
Step-by-step explanation:
Plants take in water that later splits to create hydrogen and oxygen. Since plants don't need oxygen, it gets released into the atmosphere for us and other animals to breathe.
A worde that place before a nawe
or pronden in a sentence
Answer:
Prepositions
Step-by-step explanation:
Prepositions are usually used in front of nouns or pronouns and they show the relationship between the noun or pronoun and other words in a sentence
Elaine has 2 times as many stickers on her notebook as Maryam. Together, they have 15 stickers. How many stickers are on Elaine’s notebook?
Answer:
Elaine has 10
Step-by-step explanation:
If Maryam has 5 stickers, and Elaine has twice as many, Maryam would have five , because 5x2=10, and 10+5=15, Elaine has 10 stickers
Answer:
10 stickers are on elaines notebook.
Step-by-step explanation:
If the fraction 408/x-10 is equivalent to -24 find the value of x
Answer:
Step-by-step explanation: yes it is that is how you do it
What is the great bath at mohendajaro
Answer:
The Great Bath is one of the well-known structures among the ruins of the ancient Indus Valley Civilization at Mohenjo-daro in Sindh, Pakistan. Archaeological evidence indicates that the Great Bath was built in the 3rd millennium BCE
8/9 divided by 2/9 draw it in a model to represent it
Answer:
4
Step-by-step explanation:
kcf
8/9 x 9/2= 72/18
=4
giving brainliest (don’t need to explain)
-
-
solve for x: 3(2x+54)-(27x-3)=56
Answer:
x = 109/21
Step-by-step explanation:
Step 1: Write equation
3(2x + 54) - (27x - 3) = 56
Step 2: Solve for x
Distribute: 6x + 162 - 27x + 3 = 56Combine like terms: -21x + 165 = 56Subtract 165 on both sides: -21x = -109Divide both sides by -21: x = 109/21Can someone please help to explain this to me? I have been trying to work at it and have spent time watching multiple videos trying to figure it out, but am unable to figure it out. Any help would be much appreciated! Thank you.
Answer:
first 1 I think
Step-by-step explanation:
What is the equation of the line that passes through the point (8,-8) and has a slope of -1
Answer:
y= (-1)*x
Step-by-step explanation:
lets assume that the line equation is
y=m*x +b
where m is the slope and b the independent variable that intercept Y axis.
then replacing the value of m:
y=(-1)*x + b
after that we have to look for the value of b. Its obtained replaicing the given point (8,-8):
-8 = (-1)*(8) +b
-8 = -8 + b
0 = b
Therefore the equation of the line is:
y= (-1)*x
which number is 10,000 greater than 23,879?
a. 13 879 b. 23 879 c. 33 879 d.13 779
Answer:
well 10,000 is not grater than 23,879?
Step-by-step explanation:
the diffrence between them is 13879 so the correct answer is A
HOPE THIS HELPS
-3(x-14)+9x=6x+42 what solution does this
Answer:
All real numbers
Solve for x:
4x + 10 = 34
Answer:
x=6
Step-by-step explanation:
4x+10=34
4x=24
x=6
To celebrate ratios, Mrs. Johnson’s class will make pizzas. Julio is in charge of bringing in the sauce. There are 30 students in his class and each pizza serves 8.
Pizza Sauce Recipe
Pizzas
Pizza Sauce
1
One-third cup
2
3
4
On a coordinate plane, a graph titled Pizza Recipe has Pizzas on the x-axis and Cups of Pizza Sauce on the y-axis. Point A is (3, 2), point B is (4, 2.6), point C is (4.5, 3), point D is (6, 4).
Which point should Julio use to determine the amount of pizza sauce he needs to bring?
A
B
C
Answer:
B
Step-by-step explanation:
On edge, and I saw other people saying B
Answer:
B
Step-by-step explanation:
did test
PLEASE HELP i’ll give u the brainlest thingy
Answer:
5.5
Step-by-step explanation:
by going off the total cost it should be 5.5 but if it's over c it should be y/5.5 x/8
Compare the ratios 3:8 and 1/2.
1. Write ratios as fractions.
3/8 and 1/2
2. Find a common denominator.
2 is a factor of 8, so the common
denominator is 8.
Which comparison correctly compares the ratios 3:8 and 1/2?
Answer:
Answer is A
Step-by-step explanation:
I took the test
Answer:
its c
Step-by-step explanation:
i took the test
Pls pls pls pls pls pls pls pls pls helppp meee i will give BRAINLIEST!!!!!!
Answer:
D. x = 22.5
Step-by-step explanation:
Nyoko is having a pizza party. 2 large pizzas serve 9 people. How many large pizzas should she order to serve 36 people at the party? *
Answer:
8 pizzas are needed to feed 36 people.
Step-by-step explanation:
If 2 large pizzas serve 9 people, if you divide the number your trying to find by your like term (people) (36/9) you will get 4. You then multiply your other value (2) by your answer to the last step (4) (2*4) you should get 8.
In ACDE, the measure of ZE=90°, the measure of ZD=38°, and DE = 12 feet. Find
the length of CD to the nearest tenth of a foot.
Answer:
55
Step-by-step explanation:
Pls help!!!!!
PS:its not 50,20,10,30,60,90,180,5,2, or 11
Answer:
x = 2
The smaller angle = 20
The larger angle = 70
Step-by-step explanation:
1/4 of a circle is 90 degrees
90 = 10x+ 20x+30
Combine like terms
90 = 30x+30
Subtract 30 from each side
90-30 = 30x+30-30
60 = 30x
Divide each side by 30
60/30 = 30x/30
2= x
10x = 10*2 = 20
20x+30 = 20*2 + 30 = 30+30 = 70
PLZZ I REALLY NEED SOME HELP
Answer:
B and E
Step-by-step explanation:
^^^^^
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 74.7; this version has a mean of 61.7 and a standard deviation of 13. Norma got a score of 351; this version has a mean of 291 and a standard deviation of 25. Vincent got a score of 7.38; this version has a mean of 6.9 and a standard deviation of 0.4. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
Norma performed best on the aptitude test and should be offered the job.
Step-by-step explanation:
We are given that three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 74.7; this version has a mean of 61.7 and a standard deviation of 13. Norma got a score of 351; this version has a mean of 291 and a standard deviation of 25. Vincent got a score of 7.38; this version has a mean of 6.9 and a standard deviation of 0.4.
Now, to find which of the applicants should be offered the job, we have to find the z-score of each of the applicants, and the one who gets the highest z-score will get the job.
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = mean and [tex]\sigma[/tex] = standard deviation
Firstly, we will find the z-score for Tobias;
The z-score of 74.7 = [tex]\frac{X-\mu}{\sigma}[/tex]
= [tex]\frac{74.7-61.7}{13}[/tex] = 1
Now, we will find the z-score for Norma;
The z-score of 351 = [tex]\frac{X-\mu}{\sigma}[/tex]
= [tex]\frac{351-291}{25}[/tex] = 2.4
Now, we will find the z-score for Vincent;
The z-score of 7.38 = [tex]\frac{X-\mu}{\sigma}[/tex]
= [tex]\frac{7.38-6.9}{0.4}[/tex] = 1.2
As we can clearly see that the z-score is highest for Norma which means that Norma performed best on the aptitude test and should be offered the job.
the sum of two consecutive intergers is 131
Y=2(x-1)^2+1 in standard form
Answer:
2(x^2+1-2x)+1=
2x2+2-4x+1=
2x2-4x+3
Step-by-step explanation:
the estimated world population in 2011 was 7 x 10^9. Of the total population, 682 million of those people were left handed. Approximately what percentage of the world population is left handed according to the 2011 estimation
Answer:
9.7 %
Step-by-step explanation:
estimated world population in 2011 = 7x10⁹
left handed = 682,000,000
find:
Approximately what percentage of the world population is left handed according to the 2011 estimation
percentage = left handed population
total population
= 682,000,000
7,000,000,000
= 0.682
7.0
= 9.7 %
Answer:
9.7%
Step-by-step explanation:
Hope this helps have a great day!
Which situation is best represented by the following
equation?
2x + x = 21
Answer:
If your solving for x then its x=3 because you combine liked terms then divide both sides by 3.
A square pyramid and cube are shown below. Name the two dimentional figure that is a cross section of the cube but not the pyramid.
Octagon
Square
Triangle
Rectangle
Answer: Square
The cross section of a cube would be a square, because cubes are made of 2D squares. The cross section of a pyramid would be triangles because they are made of a top with triangles.
The answer is square. Hope this helps!
Answer: The answer is Square.
A cube has sides constructed as 2 Dimensional squares. A pyramid has cross sections of triangles, so they do not have the same shape as a cross section. The answer is square.
What fraction of an an hour is 34 minutes
Answer:
I think 34/60 which is also 17/30
Step-by-step explanation:
Hope this helps!
Find the distance covered by a car travelling at 65 65-kmh-1 for 7 hours.
Answer:
1105km
Step-by-step explanation:
d=s×t
=65kmh^-1×7
=1105km
「13 3 4
0 -3-5
12 5 1
1 -2 61
7 19
-10 12
127]
Answer:
− 31769
I'm sorry if this is not right I don't have enough info but i tried so :)
Step-by-step explanation: