What do you do if you're looking for least common multiple and all your numbers are prime?

Answers

Answer 1

It’s important to remember the distinction between “greatest common factor” and “least common multiple.” A factor of a particular number is a bit like a multiplicative LEGO piece that makes it up; they’re the numbers that other natural numbers can be broken down into by division. A multiple is the opposite; a number and the number that it’s multiplied by (say, 8 x 5) *become factors* of a new number (40, in this case).

When we talk about finding the “least common multiple” of a set of numbers, what we’re asking is this: if you list out multiples of each number, what’s the *first* number in those lists they all have in common? For instance, if we wanted to find the least common multiple between 3 and 5, we could list out their multiples:

3, 6, 9, 12, 15, 18, 21
5, 10, 15, 20, 25, 30

15 is the first multiple that appears in both lists, so the least common multiple of 3 and 5 is 15.

Related Questions

Question 12 information reference tables look at each expression. is it a factor of 8x4 + 2x2 – 45 when this expression is fully factored? select yes or no for expressions a –
d.
a. 2x2 + 3 yes no
b. 2x2 + 5 yes no
c. 2x – 3 yes no
d. 4x2 – 9 yes no

Answers

8x^4 + 2x^2 - 45 = (2x^2 + 5)(4x^2 - 9) = (2x^2 + 5)(2x + 3)(2x - 3)

(a) 2x^2 + 3....no
(b) 2x^2 + 5...yes
(c) 2x - 3....yes
(d) 4x^2 - 9)...no...not when it is fully factored

name each polynomial by degree and number of terms calculator.


1. -8
2. -4 + 10n
3. 5a^4 - 2a^3 + 7a
4.-3+8v^2
5. -9^5 + 6x^3 - 7x^2 -
9x^4

Answers

What you are really looking at is the biggest exponent on x

1. X=0
2. N=1, linear equation
3. A=4 (looking at the biggest exponent remember), quartic function
4. V=2, quadratic equation
5. X=3, cubic equation
6. X=4, quartic equation


Hope I helped :)

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What are the domain and range of the function???

Answers

the curved line starts at (6,0) so the domain is x≥6

 the range is the Y value, since the curved line continues off the graph and does not cross over the x axis the range would be y≥0

divide -2x^3-5x^2+4x+2 by x+2

Answers

Final answer:

The detailed answer explains how to divide a polynomial by another using long division method.

Explanation:

To divide -2x³-5x²+4x+2 by x+2, we will perform polynomial long division:

-2x³-5x²+4x+2 / x+2

Start by dividing the leading terms: -2x³ / x = -2x². Multiply x+2 by -2x² to get -2x³-4x². Subtract this from -2x³-5x² to get x². Bring down the 4x next. Continue the process and you will get a quotient of -2x²+x-2 with a remainder of 6.

he value of an autographed baseball from 2017 is $300. The value of the baseball exponentially increases by 5% each year after 2017. Write a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650. Do not use any dollar signs in the inequality. Write the inequality in standard form.

Answers

If the ball increases by 5% each year, then it's value over t years would be:
fv=300*(1+.05)^t, where fv  is future value. So:
300*(1.05)^t=650
1.05^t=2.166667
t=15.85 years
☺☺☺☺

 

Answer:  

[tex]300(1.05)^x\geq 650[/tex]

Step-by-step explanation:

Since, the initial value of the basketball = $ 300

Annual rate of interest = 5 %

Let the basket ball after x years is worth at least $ 650,

⇒ The cost of basketball after x years ≥ 650

[tex]\implies 300(1+\frac{5}{100})^x\geq 650[/tex]

[tex]\implies 300(1+0.05)^x\geq 650[/tex]

[tex]\implies 300(1.05)^x \geq 650[/tex]

Which is the required inequity.  

Which number can each term of the equation be multiplied by to eliminate the decimals before solving? –m + 0.02 + 2.1m = –1.45 – 4.81m A)0.01
B)0.1
C)10
D)100

Answers

since the 2 in 0.02 is in the hundredths place, you need to multiply that by 100 to eliminate the decimal, then you would need to multiply the other numbers by 100 as well


 Answer is D) 100


The decimals place in a number can be shifted right or left by multiplying or dividing by powers of 10 respectively

The option which gives the number that will multiply each term of the equation -m + 0.02 + 2.1·m = -1.45 - 4.81·m to eliminate the decimals before solving, is option D)

D) 100

Reason:

The given expression is presented as follows;

-m + 0.02 + 2.1·m = -1.45 - 4.81·m

The number that can multiply the terms to eliminate the decimals before solving

Solution;

The number of decimal places to which the coefficient and constant values are given = 2 decimal places

Therefore, to eliminate the decimal places, the decimal point of each term has to be moved two places to the right

To move decimal points to the right x number of places is given by multiplying the number by 10ˣ

Therefore, to move the decimal point two places to the right so as to eliminate the decimal point, by multiplicative property of equality, we have;

10² × (-m + 0.02 + 2.1·m) = 10² × (-1.45 - 4.81·m)

10² = 100, therefore, we have;

100 × (-m + 0.02 + 2.1·m) = 100 × (-1.45 - 4.81·m)

-100·m + 2 + 2,100·m = -145 - 481·m

Therefore, the number the equation, -m + 0.02 + 2.1·m = -1.45 - 4.81·m, is to be multiplied by is 100

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Given an int variable n that has been initialized to a positive value and, in addition, int variables k and total that have already been declared, use a do...while loop to compute the sum of the cubes of the first n whole numbers, and store this value in total. thus if n equals 4, your code should put 1*1*1 + 2*2*2 + 3*3*3 + 4*4*4 into total. use no variables other than n, k, and total.

Answers

// There are several ways of doing this piece of code. // This is one of the smaller versions. If computes the values from the largest // to the smallest, but does destroy the value of n at the end of the loop. total = 0; do { total += n*n*n; --n; } while(n != 0); // Here is a more conventional version that retains the value of n and computes in // an upward fashion. k=1; total=0; do { total += k*k*k; ++k; } while(k <= n);

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where lrepresents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?

Answers

It is basically a trick question. Firstly we have to ficus on the given formula to get to the answer for this question.


2l + 2w = 16

2(l + w) = 16

l + w = 8

l = 8 - w

Mow w cannot be less than 1. So the length of the rectangle cannot be more than 7. So we can conclude that 7 inches is the correct option or the first option is the correct option among the given options. 


Hope this helped!!!!!

The graph of y=-4x+7 is:
A. a line that shows the set of all solutions to the equation.
B. a point that shows one solution to the equation.
C. a point that shows the y-intercept.
D. a line that shows only one solution to the equation.

Answers

y=-4x+7 is the eguationfor a line that crosses the y intercept at 7 and has a slope of -4 i would go with D

Answer:

A. A line that shows the set of all solutions to the equation

Step-by-step explanation:

Complete the inequality statement with the symbol that makes it true.

1.67 ___ 16.7

>
<
=

Answers

Good morning, the answer should be "<", as of the number is bigger. (1 < 16)

Answer:

The symbol in the blank space would be '<'

Step-by-step explanation:

Since, in inequality,

'>' = greater than,

'<' = less than,

'≥' = greater than equal to,

'≤' = less than equal to,

Now, 1.67 × 10 = 16.7

16.7 is 10 times of 1.67,

That is,

1.67 is less than 16.7

1.67 < 16.7

Hence, THIRD option is correct.

You push the ball with a force of 22.8N which includes a- 2.3N frictional force. So, what is the net force while you push the ball?

Answers

-------22.8 N ------> O <--2.3 N --
They are opposing forces. you subtract the frictional force.

22.8 N - 2.3 N = 20.5 N

Dennis has 30 plums and 42 apricots. he wants to put the fruit in bag so that each bag has the same number of like fruit. how many pieces of fruit can he put in each bag

Answers

Solve.

Mr. Madison picked 80 pieces of fruit on Thursday.Add.

042412+ 4080

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Find ONLY the areas of the polygons

Answers

11.

area for lower left = 52*62 = 3224

area for upper right = 68*54 = 3672

 total area = 3224 + 3672 = 6896 square yards


12.

 area of upper left = 57-69 = 3933

area of lower right = 24*37 = 888

total area = 3933 +888 = 4821 square feet

A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours.

Answers

let x = time of burn , y = length 
x = 3 , y = 17 
x = 5 , y = 15 
m = (15 - 17)/(5 - 3) = -2/2 = -1 
y - 17 = -1(x - 3) 
y = -x + 20 

at x = 8 => y = 12 in   Hope it Helps :)

Fatimah works two shifts per day at the pizza shop. During her storefront shift, she sells her pizzas at a rate of 6 pizzas per hour. During her delivery shift, she sells 20 pizzas per night. Write an equation in slope-intercept form that represents the number of pizzas that Fatimah sells in one day if she works x hours.

A-y=1/6x-20
B-y=20x+6
C-y=6x+20
D-y=-6x+20

Answers

C: y = 6x+20 Let's construct our own equation and then see if one of the available options matches. "During her storefront shift, she sells her pizzas at a rate of 6 pizzas per hour" This sounds like the equation should be: 6x Since for every hour (represented by x) she sells 6 pizzas. Now we have: "During her delivery shift, she sells 20 pizzas per night." Notice that there's no mention of anything per hour. If she does the delivery shift, she sells a constant 20 pizzas. So let's modify our equation to: 6x + 20 And since we want it in slope intercept form, let modify a bit further: y = 6x + 20 Now look at the available options and see if there's anything that matches. And there is ... Option C is a perfect match.

Convert the mixed number to a decimal. 4 6/25 A. 4.12 B. 4.24 C. 4.25 D. 4.625

Answers

B. 4.24

4 6/25 = 106/25 = 4.24

Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?

Answers

The first step in solving 3p - 7 + p = 13 would be to simplify 3p - 7 + p so it can be 4p - 7.

So the resulting equation AFTER the first step would be 4p = 13 + 7.
The equation after the first step would be: 4p-7=13
that's all you can do in one step, and it calls combine like terms. On the next step you use the addition property of equality to add 7 on both side and it would gives you 4p=20.
if they asked to solve for P then you can use the division property of equality to divide 4 on both side. 
p=5

Difference of two exponential random variables

Answers

the difference would be subtracting the variables and the dividing the difference by 2

Difference of two exponential random variables

Calculate the value of the area between the function f(x)=x^2-4f(x)=x2−4 and the x-axis on the interval from x = 0 to x = 2. round your answer to one decimal place.

Answers

To determine the area, calculate first for the differential of the equation given.

          f(x)  = x² - 4

Differentiating,

           f'(x) = 2x

Then, we officially have 2. 
          f'(2) = 2(2) = 4 

          f'(0) = 2(0) = 0

To determine the area, subtract the given answer to get 4 units squared. 

Answer: 4 units/guarrantee

When you are asked to find the area under the curve with a given equation, this is an application of integral calculus. The concept is that, any infinitesimal strip under the curve, when added together, equals the area. Thus, integrate the given equation with limits from 0 to 2.

[tex] A = \int\limits^2_0 {(x^{2}-4) } \, dx [/tex]

A = [x³/3 - 4x]lim 0->2
A = (2³/3 - 4(2)] - (0³/3 - 4(0)] 
A = 16/3 - 0
A = 16/3 ≈ 5.3 sq. units

What happens when you multiply a fraction by 1?

Answers

If the bottom number is the same thing as 1 then it will be 1, if not, then it will be a mixed fraction

Please write the function

Answers

The equation is y=║x+5║-4. I found this by knowing how the parent function looks like. The point of the v sits at 0,0 and here it sits at -5,-4 which means it moved 5 left and down 4. The left 5 is the +5 added to the x and -4 because it dropped down 4 units.

Alvin’s age is two times Elga’s age. The sum of their age is 60. What is Elga’s age?

Answers

x = Elgas age

2x = Alvins age

x +2x = 60

3x =60

x = 60/3 = 20

Elga is 20 years old

Final answer:

By setting Elga's age as x and establishing an equation based on the given relationship and sum of their ages, we calculated Elga's age to be 20 years old.

Explanation:

To determine Elga's age, we will use the information given:
1. Alvin's age is two times Elga's age.
2. The sum of their ages is 60.

Let's define Elga's age as x. Then, Alvin's age would be 2x since it is two times Elga's age. The sum of their ages can be written as the following equation:

x + 2x = 60

This simplifies to 3x = 60. To find Elga's age, we divide both sides by 3:

3x / 3 = 60 / 3

x = 20

Therefore, Elga's age is 20 years old.

Taylor made 5 1⁄4 cups of iced tea. How many 10 ounce glasses can he fill to the brim with iced tea?

Answers

Answer: 
4

Explanation: 
Word problems like this are always a bit tricky to get to the bottom to. 
But to put it simply, this question is asking how many times can 10 oz be taken out of 5 1/4 cups. This is also shown as: 
5 1/4 cups ÷ 10 ounces 

First, make both numbers the same units. Since ounces are smaller, convert 5 1/4 cups into ounces. 
5 1/4 cups 
5 cups = 40 ounces 
1/4 cup = 2 ounces 
40 + 2 = 42 ounces. 
so now do this: 
42 ÷ 10 = 4.2 
So Taylor can fill 4 full glasses with iced tea.


If a memory cell whose address is 5 contains the value 8, what is the difference between writing the value 5 into cell number 6 and moving the contents of cell number 5 into cell number 6?

Answers

The required difference is value 5 is put in cell 6 and in the second case value of cell 5 is transferred to cell number 6.

Given that,
If a memory cell whose address is 5 contains the value 8, what is the difference between writing the value 5 into cell number 6 and moving the contents of cell number 5 into cell number 6 is to specify.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is a dependent variable.


Here,

If a memory cell whose address is 5 contains the value 8
implies at cell number 5 the entry is 8
Similarly,
writing the value 5 into cell number 6
While in the case of moving the contents of cell number 5 into cell number 6, Implies 8 is transferred to cell number 6.

Thus, the required difference is value 5 is put in cell 6, and in the second case value of cell 5 is transferred to cell number 6.

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Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at least 24 ft and must go a horizontal distance of no more than 10 ft. The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.

The graph shows the feasible region, where x represents the horizontal distance and y represents the vertical distance.

Which ordered pairs meet all the constraints for a successful launch and make sense in context of the situation?

Select each correct answer.



1. (4, 36)

2. (0, 33)

3. (4.8, 30.5)

4. (2, 22)

5. (9, 26)

Answers

The required conditions are 24 ≤ y ≤ 33x ≤ 10y ≥ 3x The following points satisfy all of the conditions: (0,33)(4.8,30.5)

What does it mean for a set of financial records to be comprehensive?
a. Comprehensive records are protected against theft and fire.
b. The records must contain sufficient information to cover all of your financial plan. c. At least two people must be able to view and assess the records.
d. The records must contain every one of your financial files, such as pay stubs and receipts.

Answers

The correct answer is B. The records must contain sufficient information to cover all of your financial plan. Being impervious to fire and water has nothing to do with being comprehensive. Being comprehensive means that all details have been carefully examined and that there are contingency plans and goal marks for every day and every situation and all similar things.

Answer:

B. The records must contain sufficient information to cover all of your financial plan.

Step-by-step explanation:

For a set of financial records to be comprehensive, means - The records must contain sufficient information to cover all of your financial plan.

One should prepare all the strategies before hand and all the details of ones financial plans should be thoroughly examined , before implementing any plan.

A public park is in the shape of a triangle. the side of the park that forms the base of the triangle is 22 yd long and the area of the park is 7500 yd 2 what is the length of the side of the park that forms the height of the triangle

Answers

Let h be the height. Then:
1/2  (22h)=7500
22h=15000
h=15000/22=681.8181 yds

The density of water is 1.0 g/cm3 how many deciliters of water will fill
a.5-l bottle

Answers

50 deciliters of water will fill a 5-l (5 Litre) bottle as 10 deciliters = 1litre. The density of water is not required to answer this question. It can help us to find the weight of water in a 5-l bottle and it will be 5000 grams or 5 Kilograms.

Factor the expression. 21x2 + 55x + 14

Answers

(7x+2)(3x+7)

Is the 2 an exponent or variable?

Answer:

(3x + 7)(7x + 2)

Step-by-step explanation:

confused on this question

Answers

check the picture below.

since WZ is a bisector of the quadrilateral, that means, it makes two equal halves at the vertex Z and W, that means each triangle gets of those twin angles, so those two angles are the same for both triangles.

now, notice, the segment WZ is shared by both triangles, and thus the tickmark, is the same length for both.

so, you have on Angle and then a Side and then another Angle, two angles and the side between them equal in each triangle, thus congruents by ASA.
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