identify the least common multiple of two integers if their product is 27⋅38⋅52⋅711 and their greatest common divisor is 23⋅34⋅5 .

Answers

Answer 1

The least common multiple of the two integers is 52,236,510.

To find the least common multiple (LCM) of two integers, we need to find the product of the highest powers of each prime factor.

First, we need to prime factorize the product of the two integers:

27⋅38⋅52⋅711 = 3³ ⋅ 2 ⋅ 19 ⋅ 13 ⋅ 2² ⋅ 13 ⋅ 5 ⋅ 79

Next, we need to use the prime factorization of the greatest common divisor (GCD) to determine which prime factors are shared by the two integers.

23⋅34⋅5 = 2 ⋅ 5 ⋅ 17 ⋅ 23 ⋅ 3 ⋅ 3 ⋅ 2

We see that the GCD contains the factors of 2, 5, and 23.

To find the LCM, we need to include all the factors from the prime factorization of the product, including the shared factors from the GCD.

LCM = 2² ⋅ 3³ ⋅ 5 ⋅ 13² ⋅ 17 ⋅ 19 ⋅ 23 ⋅ 79 = 52,236,510

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Related Questions

PLEASE ANYONE HEEELLLLPP.......I NEED HELP I DONT UNDERSTAND!!!

PLEASE ANYONE HEEELLLLPP.......I NEED HELP I DONT UNDERSTAND!!!

Answers

Answer:

\(\large \boxed{\mathrm{Option \ 4}}\)

Step-by-step explanation:

The area has to be found for the floor.

The whole rectangle = length × width = x × (x-4), has an area of x(x-4).

The area x(x-4) has to be subtracted from the area of the stage and closet.

Area of stage = area of triangle : base × height × 1/2

(x-4) × 8 × 1/2

(0.5) × (8) × (x-4)

Area of closet = area of rectangle : length × width

(3) × (7)

The area of the floor = x(x-4) - 0.5(8)(x-4) - 3(7)

Answer:

i don’t understand it either

Step-by-step explanation:

What is the probability that the dart does not hit a point in the circle

The radius is 4. I can't figure out what to do for this and pls make your explanation simple i got ADHD lol

Answers

The probability that the dart does not hit a point in the circle is equal to the area of the region outside the circle divided by the total area of the dartboard.

To understand why this is the case, imagine that the dartboard is divided into two regions: the region inside the circle and the region outside the circle. The probability of hitting a point inside the circle is equal to the area of the circle divided by the total area of the dartboard.

However, we are interested in the probability of not hitting a point inside the circle. This is equivalent to hitting a point in the region outside the circle. The area of the region outside the circle is equal to the total area of the dartboard minus the area of the circle.

Therefore, the probability of not hitting a point in the circle is equal to:

(area outside the circle) / (total area of the dartboard)

which is equivalent to:

[(total area of the dartboard) - (area of the circle)] / (total area of the dartboard)
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One third of -3. Answer gets Brainlyest

Answers

Answer:

negative one

Step-by-step explanation:

write the equation of a line in point-slope form for a line that passes through the point (-2,1) and has a slope of -3

Answers

Answer:

y-1=-3(x+2)

Step-by-step explanation:

Jacob spent $10 of the $25 in his wallet write a decimal that represents the fraction of the $25 Jacob

Answers

Answer:

0.4, incase you want it, it also is 40% and \(\frac{2}{5}\\\).

Step-by-step explanation:

10/25 =0.4

Hope this helped :D

Please help meeeee asap !!!!!!!!?!??

Please help meeeee asap !!!!!!!!?!??

Answers

The number of boxes Anica need to pack all the stuffed animals is 3.

Given that, Anica has 13 stuffed animals, and each box holds 5 animals.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

Number of boxes completely filled =13/5

5|13|2
  10
_____

   3

3 animals are left

Therefore, the number of boxes Anica need to pack all the stuffed animals is 3.

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4.
Use Synthetic Division To Solve.

(x3-3x2-7x+6) / (x-2)

A. x2+x+9+ 12 /x-2

B. x2+5x+3+ 12 / x-2

C. x2-5x+3

D. x2-x-9-12/x-2

Answers

Answer:

D. x^2-x-9-12/x-2

Step-by-step explanation:

We can use synthetic division to divide (x^3 - 3x^2 - 7x + 6) by (x - 2). First, we set up the division as follows:

    2 |   1   -3   -7    6

       |______2___-2__-18

       | 1   -1   -9  -12

The numbers on the bottom row of the synthetic division table represent the coefficients of the quotient polynomial. Therefore, the quotient is x^2 - x - 9, and the remainder is -12.

So, we have:

(x^3 - 3x^2 - 7x + 6) / (x - 2) = x^2 - x - 9 + (-12 / x - 2)

Therefore, the correct option is D: x^2 - x - 9 - 12/(x - 2).

Find the value of p (x) = 4x^3 - 7x^2 - 5x + 43 if x= -3

Answers

Answer:

\(p(x) = {4x}^{3} - {7x}^{2} - 5x + 43 \\ \\ p( - 3) = {4( - 3)}^{3} - {7( - 3)}^{2} - 5( - 3) + 43 \\ p( - 3) = - 113\)

Answer:

- 113

Step-by-step explanation:

Substitute x = - 3 into p(x) and evaluate , that is

p(- 3) = 4(- 3)³ - 7(- 3)² - 5(- 3) + 43

         = 4(- 27) - 7(9) + 15 + 43

         = - 108 - 63 + 58

         = - 171 + 58

         = - 113

please help tysm ! Giving brainliest to best answer

please help tysm ! Giving brainliest to best answer

Answers

Step-by-step explanation:

here is your answerrrrrrrrrrr

please help tysm ! Giving brainliest to best answer

question the line plot shows the number of hours two groups of teens spent studying last week. how does the data compare for the two groups of teens? responses the 13- to 15-year olds spent an average of 14 hours studying last week. the 13- to 15-year olds spent an average of 14 hours studying last week. the mode for the hours spent studying last week for the 13- to 15-year olds is less than the mode for the hours spent studying last week for the 16- to 18-year olds. the mode for the hours spent studying last week for the 13- to 15-year olds is less than the mode for the hours spent studying last week for the 16- to 18-year olds. the median value for the hours spent studying last week for the 13- to 15-year olds is greater than the median value for the hours spent studying last week for the 16- to 18-year olds. the median value for the hours spent studying last week for the 13- to 15-year olds is greater than the median value for the hours spent studying last week for the 16- to 18-year olds. the range for the hours spent studying last week for the 13- to 15-year olds is the same as the range for the hours spent studying last week for the 16- to 18-year olds. the range for the hours spent studying last week for the 13- to 15-year olds is the same as the range for the hours spent studying last week for the 16- to 18-year olds.

Answers

The average study hours are the same for both groups, but the mode, median, and range differ between the two age groups.

Based on the provided responses, here is the comparison of the data for the two groups of teens:

1. The 13- to 15-year-olds spent an average of 14 hours studying last week, which is the same as the average for the 16- to 18-year-olds.

2. The mode for the hours spent studying last week for the 13- to 15-year-olds is less than the mode for the 16- to 18-year-olds, indicating that there was a higher concentration of hours for a specific value in the 16- to 18-year-old group.

3. The median value for the hours spent studying last week for the 13- to 15-year-olds is greater than the median value for the 16- to 18-year-olds, suggesting that the middle value of study hours is higher for the younger group.

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Lucas is walking around the edge of the playground shown. How far will lukas have to walk when he finishes one loop around the playground? Round to the nearest unit, if necessary.

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Determine how far he walked in one loop

This question is incomplete, as the playground diagram and dimensions are missing. However, I'll answer on a general terms.

What this question requires is to calculate the perimeter of the playground.

Assume that the playground is rectangular and the dimensions are: 2  meters by 3 meters.

The distance walked will be calculated using the following perimeter formula.

\(Distance = 2(2m + 3m)\)

\(Distance = 2(5m)\)

\(Distance = 10m\)

If it is a square with 5m as the length of one of its side, the distance would be:

\(Distance = 4 * 5m\)

\(Distance = 20m\)

So basically, all you need to do is calculate the perimeter of the playground.

20000(4)^6 as a deceimal

Answers

Answer:8.192x10^7

Step-by-step explanation:

Answer:

81,920,000

Step-by-step explanation:

20000(4096)

81920000

Hopes this helps please mark brainliest

Solve for x. Round to the nearest tenth.
24
X
14

Answers

Based on the geometric theorem, the value of x, to the nearest tenth is: 8.2.

What is the Geometric Theorem?

The geometric theorem states the relationship between the length of the altitude of a right triangle and the lengths of the two small segments formed on the hypotenuse.

The theorems states that:

The length of the altitude = the geometric mean of the two segments.

In the image given below which shows the right triangle, the segments formed on the hypotenuse are x and 24 units, while the altitude of the triangle is 14.

Therefore, based on the geometric theorem, we have:

14 = √(x * 24)

Solve for x:

14² = x * 24

196 = 24x

196/24 = 24x/24

x ≈ 8.2 (nearest tenth)

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Solve for x. Round to the nearest tenth.24X14

Jeffery wants to leave a uo for the waitress equal to 20% his bill for dinner was 64$. How much did Jeffery pay his waitress?

Answers

The answer is $12.80
Jeffery wants to leave a uo for the waitress equal to 20% his bill for dinner was 64$. How much did Jeffery

Can someone help me find the value of x

Can someone help me find the value of x

Answers

Answer:

25

Step-by-step explanation:

180 - 25 = 155

180 - 155 = 25

180 - 25 = 155

180 - 155 = 25

25 is the answer

50 POINTS!
A line goes through the points (3, -4) and (-1, 8). Write the equation of the line in point-slope form. Show your work for full credit. (Show the steps for how you went from the two points, above, to having the equation in point-slope form. All calculations must be written down.)

can someone show how they do this instead of just only giving the answer. ​

Answers

Answer:

y= -3x + 5

Step-by-step explanation:

m= (y2-y1)/(x2-x1)

m= [8-(-4)]/(-1-3)

m=12/-4

= -3

y= mx + b

-4=(-3)(3) + b

-4=9+b

b=5

therefore, y= -3x+5

pls help and explain. I will give brainliest

pls help and explain. I will give brainliest

Answers

Answer:

4 2/3 hours

Step-by-step explanation:

There are 7 days in a week

2/3 of an hour per day * 7 days

2/3 *7 = 14/3 hours

Changing to a mixed number

4 2/3 hours

Answer:

4.667

Step-by-step explanation:

2/3*7=4.667 (if you need decimal notation)

If you need a mixed number:

4+2/3:-)

I hope this helps!

\(- RosalindCordelia\)

Roberto and Maeko open a pet store and start with 5 hamsters for sale. Hamster populations usually triple every cycle. One cycle is equal to 4 months. Write an equation in function notation to represent the change in the number of hamsters as a function of the cycle number, c. Explain how you determined your equation.

Answers

The number of hamsters as a function of the cycle number, c, can be represented by the equation:

f(c) = 5 * 3^c

This equation was determined by the fact that the population triples every cycle and the starting number of hamsters is 5. The function notation is f(c) which represents the number of hamsters as a function of the cycle number. The base of the equation is 3, which represents the rate at which the population triples. The exponent is c, which represents the cycle number. The coefficient is 5, which represents the starting number of hamsters.

Which products are greater than 256? Choose all that apply.

Answers

257 is the answer to this question

what number is a solution of the inequality 3<3x-15

Answers

Answer:

x > 6

{7, 8, 9, 10...}

Step-by-step explanation:

\(3<3x-15\\\\3x-15>3\\\\3x-15+15>3+15\\\\3x>18\\\\\frac{3x>18}{3}\\\\\boxed{x>6}\)

Any number will be a solution if it's value is greater than 6.

Hope this helps.

What is the slope of the line that passes through the points El 1, 4) and F(2, 6)?
O-3/2
O 2/3
O 3/2

Answers

Answer:

2/3

Step-by-step explanation:

(6 -4) / (2 - (-1)) =(2) / (2+1) = 2/3

if h(x)=4-6x, find each of the following
h(-1)
h(10)
h(5)

Answers

Answer:

(-1)=10

(10)= -54

(5)= -26

Step-by-step explanation:

h(-1)=4-6(-1)

h(-1)=4 (-6*-1)

h(-1)=4+6

h(-1)=10

h(10)=4-6(10)

h(10)=4 (-6*10)

h(10)=4-60

h(10)=-54

h(5)=4-6(5)

h(5)=4 (-6*5)

h(5)=4-30

h(5)=-26

Hope this helps.

A rectangular sheet of metal is 66cm x 12cm and rolled into a cylinder with height 12cm
Find the volume.

Answers

Answer:

4158cm cubed. Hope this helped!

Does the following list represent a complete probability model? explain. p(red) = 16 1 6 , p(yellow) = 13 1 3 , p(blue) = 112 1 12 , and p(green) = 12

Answers

No, the given list does not represent a complete probability model. In a probability model, the sum of probabilities for all possible outcomes should be equal to 1.

However, if we add up the probabilities mentioned, we get

16/6 + 13/3 + 112/12 + 1/2

= 8/3 + 13/3 + 28/3 + 1/2

= 21/3 + 28/3 + 1/2

= 49/3 + 1/2.

This sum is not equal to 1, which means the probabilities mentioned in the list do not represent a complete probability model. To form a complete probability model, we need to assign probabilities to all possible outcomes and ensure their sum is equal to 1.

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A relation is defined by the points (1, 4), (3, -1), (-1, -2), and (1, -3).
This relation ( is , is not ) a function because there ( is no x-value,is one x-value,are two x-values) corresponding to multiple y-values.

Answers

Answer: is not / is one x-value

Step-by-step explanation:

The relation is not a function because there is one x-value corresponding to multiple y-values.

Why it is not a function?

For a function, each point on the domain is mapped into only one point on the range.

In this relation we can see the points:

(1, 4), (3, -1), (-1, -2), and (1, -3).

Then we can see that the element of the domain "1" is being mapped into two different elements of the range (4, and -3).

Then the relation is not a function because there is one x-value corresponding to multiple y-values.

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A Yes, it is proportional because it is a line that intersects with the origin.
B Yes, it is proportional because the x-axis and y-axis are labeled correctly.
C No, it is not proportional because the line does not intersect with the origin.
D No, it is not proportional because the x-axis and y-axis are not labeled correctly.

A Yes, it is proportional because it is a line that intersects with the origin. B Yes, it is proportional

Answers

Answer:

A Yes, it is proportional because it is a line that intersects with the origin.

Step-by-step explanation:

The capacity of a plastic container of milk is two gallons. The volume of a box container

of milk is 3 pints and the volume of a can of milk is 4 pints. How many cans of milk can the

plastic container hold?

Answers

The plastic container of milk can hold 8 cans of milk.

We need to determine how many cans of milk can fit in the plastic container, which has a capacity of two gallons. To compare the volume of the container and the volume of a can of milk, we need to convert the units to the same measurement.

1 gallon is equal to 8 pints. Therefore, the plastic container has a capacity of 2 * 8 = 16 pints.

Since a can of milk has a volume of 4 pints, we can divide the capacity of the plastic container by the volume of a can to find the number of cans that can fit 16 pints / 4 pints = 4 cans.

Therefore, the plastic container can hold 4 cans of milk.

Note: In the question, it is mentioned that the volume of a box container of milk is 3 pints.

However, since the focus is on the cans of milk, the volume of the box container is not relevant to determining the number of cans that can fit in the plastic container.

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Solve for x. i need answers noe
43=x

Answers

Answer:

If 43=x, this means that x is 43

Step-by-step explanation:

Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $600,3 prizes of $300,5 prizes of $40, and 20 prizes of $5. What is the expected value of this raffle if you buy 1 ticket? Let X be the random variable for the amount won on a single raffle ticket E(X)= dollars (Round to the nearest cent as needed)

Answers

The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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1) 6=A/4+2 can someone help please

Answers

Answer:

A=16

Step-by-step explanation:

6=A/4+2

-2       -2

4=A/4

x4  x4

16=A

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