Find the square root by prime factorisation method 6860.

Answers

Answer 1
Answer:

14√35

Step-by-step explanation:

√6860 =

= √686×10

= √686×2×5

= √343×2×2×5

= √49×7×2²×5

= √7²×7×2²×5

= 7×2√7×5

= 14√35

Answer 2

[tex]\sqrt{6860}=\sqrt{10*686}=\sqrt{10*343*2}=\sqrt{5*2*343*2}=\sqrt{5*2*7*49*2}=\sqrt{5*2*7*7*7*2}=\sqrt{2*2*7*7*5*7} =2*7\sqrt{5*7} =14\sqrt{35}[/tex]


Related Questions

Use only the commutative property of addition to complete the statement. 2x+15= please help asap

Answers

Answer:  15+2x

=======================================

The commutative property of addition is where we can add two numbers in any order we want. Example: 2+3 = 5 and 3+2 = 5.

In general, the rule is x+y = y+x.

In our case, 2x and 15 can be added in any order. So that's why 2x+15 is the same as 15+2x.

-------

Side note: a similar rule applies for multiplication as well. This is called the commutative property of multiplication. Example: 9*3 = 27 and 3*9 = 27. So we can say x*y = y*x.

recursive function f(7)=5.18

Answers

f(7)=5.18
7f=5.8
————
7 7

f=0.74

what is the prefix for deci

Answers

Answer: Deci is a decimal unit prefix in the metric system denoting a factor of one tenth. Basically, it means “tenth.”

The prefix for deci is 10

11/20 as a percentage

Answers

55%

Step-by-step explanation:

to findpercentages just divide 11/20. thenove the decimal place over 2 times

11/20 as a percentage is 55%

q1: How can you rewrite -8 -− 10 as an additional problem? q2: Find the difference: -11 -− 5

Answers

Answer:

1. 2

2. -6

Step-by-step explanation:

I guess you tried to write -8-(-10) in the first question. Minus sign cancels out minus sign to give addition sign. So that is -8+10 which is 2.

The second question the sam thing applies -11-(-5) which is -11+5 which is -6

8. Parallel to the line y = 2x + 5 and contains the
point (4, 5) in slope-intercept form.
Please help and show work .

Answers

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

So we want to find an equation in slope-intercept form that is parallel to:

[tex]y=2x+5[/tex]

And contains the point (4,5).

So to create the equation, we will need to slope and the y-intercept.

First, recall that parallel lines have the same slope. Since we want our equation to be parallel to y=2x+5, this means that the slope of the new equation must be 2.

Now, we can use the point-slope form to solve for the y-intercept. The point slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Let (4,5) be x₁ and y₁. m is 2 since it's parallel to y=2x+5. Thus:

[tex]y-5=2(x-4)\\[/tex]

Distribute:

[tex]y-5=2x-8[/tex]

Add 5 to both sides:

[tex]y=2x-3[/tex]

And that's our equation :)

SALES A daily newspaper had 12,125 subscribers when it began publication. Five years later it had 10,100 subscribers. What is the average yearly rate of change in the number of subscribers for the five-year period?

Answers

Answer:

The average change is 405

Step-by-step explanation:

The initially the number of subscriber = 12125

After five years the number of subscriber = 10100

Now we have to find the average change in the number of subscribers.

The average yearly change = change in subscriber/number of years.

Now insert the values in the above formula.

The average yearly change = (12125 – 10100) / 5

The average yearly change = 2025/5

The average yearly change = 405

Answer: The average change is -405

Step-by-step explanation:just did the homework

In the past year Pablo watched 76 movies that he thought were very good he watched 80 movies over the whole year of the movies he watched what percentage did he rate as very good

Answers

Answer:

95%

Step-by-step explanation:

We convert 80 into ten or 100. In this case, we should use 10.

76/80 = 9.5/10

Then we set the denominator as 100. (because percentages have a denominator as 100)

95/100

Then it's 95%. Hope this helps.

a bee flies at 9 feet per second directly to a flower bed from its hive. the bee stays at the flower bed for 15 minutes then flies directly back to the hive at 6 feet per second. it is away from the hive for a total of 20 minutes

Answers

Answer:

Assuming the question is asking how much time it takes each way, the answer would be 2 minutes from the hive to the flowerbed and 3 minutes back.

Assuming the question is the amount of distance between the hive and the flower bed, the answer is 1080 feet.

Step-by-step explanation:

So the total amount of time it was away from the hive was 20 minutes. Out of those 20 minutes, 15 minutes were spent in the flowerbed. So that means travel time was 5 minutes. Now, going is 9 and coming back is 6, so 9+6=15, 5/15=1/3, 1/3*9=3 and 1/3*6=2

Knowing that information, lets solve what the question could be because I have no idea. The amount of distance from the hive to the flower bed is 1080 feet. I got this by doing 9 (the amount of feet per second) times 120 (the amount of seconds in 3 minutes.) You could do this with 6 but I found it easier to multiply 9*120 compared to 6*180.

If it's the commute time, we already solved that.

If I didn't answer the real question, please just comment on this.

-4a5 [tex]-4a^{5}(6a^{5})[/tex]

Answers

Answer:

-24a^10

Step-by-step explanation:

You multiply like terms with like terms. You multiply -4 with 6, and a^5 with a^5.

If you would like more help in math or other subjects for FREE, check out growthinyouth.org.

An AP consists of 55 terms of which 5th term is 14 and last term is 144. Find the 29th term

Answers

Answer:

29th term = 76.4

Step-by-step explanation:

Total terms = 55

aₙ = a + (n - 1) d

5th term = a₅ = 14

   a + (5 - 1)*d = 14

   a + 4d = 14  --------------------(I)

last term = a₅₅ = 144

               a + (55 - 1)d = 144

      a + 54d = 144----------------(II)

Multiply equation (II) by (-1)

(I)             a +  4d = 14

(II)*(-1)     -a - 54d = -144  {Now add and thus a will be eliminated}

                   -50d = -130

 d = -130/-50

d = 2.6

Plug in d = 2.6 in equation (I)

a + 4* 2.6 = 14

  a  + 10.4 = 14

              a = 14 - 10.4

              a = 3.6

29th term = a₂₉ =  3.6 + (29 - 1)* 2.6

                          = 3.6 + 28* 2.6

                          = 3.6 + 72.8

                     a₂₉ =  76.4

Answer:

76.4

Step-by-step explanation:

Let the first term and common difference of the AP be a and D respectively.

[tex]t_5 = 14 \implies \: a + 4d = 14....(1) \\ t_{55} = 144 \implies \: a + 54d = 144....(2) \\ subtract \: eqution \: (1) \: from \: equatin \: (2) \\ \\ a + 54d - (a + 4d) = 144 - 14 \\ a + 54d - a - 4d = 130 \\ 50d = 130 \\ d = \frac{130}{50} \\ \huge \red{ \boxed{ d = 2.6}} \\ substituting \: d = 2.6 \: in \: equation \: (1) \\ \\ a + 4 \times 2.6 = 14 \\ a + 10.4 = 14 \\ a = 14 - 10.4 \\ \huge \purple{ \boxed{ a = 3.6}} \\ \\ t_{29} = a + 28d \\ t_{29} = 3.6 + 28 \times 2.6 \\ t_{29} = 3.6 + 72.8 \\\huge \orange{ \boxed{ t_{29} = 76.4}} \\ [/tex]

There are approximately 2 lbs of muscle for every 5 lbs of body weight of a certain animal. For a 135 dash lb ​animal, how much of the weight is​ muscle? There are nothing lbs of muscle.

Answers

Answer:

81 lbs

Step-by-step explanation:

Find the product and simplify your answer.
-9x2(-3x5 + 5x - 5)
W

Answers

Answer:

In simplest/simplified form and in descending order, your answer would be -18x^3 + 45x^2. Hope this helps!

Step-by-step explanation:

are 12/32 and 24/60 equivalent

Answers

Answer:Yes, 12/32 and 24/60 are equivalent.

Step-by-step explanation:


[tex] \sqrt{225} + \sqrt{169} [/tex]
Find:​

Answers

Answer:

28

Step-by-step explanation:

√225 + √169

√225 = 15

√169 = 13

15 + 13 = 28

The answer is 28

The measure of 2A is 18° greater than the measure of 2B. The two angles are complementary. Find
the measure of each angle.
The MzA is
and mzB is
lo

Answers

Answer:

2A=54°

2B=36°

Step-by-step explanation:

2A=x+18

2B=x

x+x+18=90

2x=90=18

2x=72

x=36

2A=x+18=36+18=54

2B=x=36

Find the values of x and y.

could you please help me with this?​

Answers

Answer:

y=30, x=8

Step-by-step explanation:

right angle =90

the angle of a triangle =90-40=50 degrees

the image shows two parallel line with perpendicular line that holding angle 40 and 3y

3y=90 degrees

y=90/3=30 degrees

the sum of the angles of triangle =180

3y+5x+50=180

3(30)+5x+50=180

5x=180-90-50

5x=40

x=40/5=8

the angles are 50,90,40

Help please!!!!!!!!!!

Answers

Answer:

irrational

Step-by-step explanation:

Margaret used 12 gallons of gas to drive 252 miles. How many miles can
Margaret drive with 16 gallons of gas?

Answers

336 miles
The reason I know is because I divided 252 by 12 and got 21 and multiplied 21 by 16 and got 336

Can someone please help mee :)

Solve each equation below.
у
a.) 5% + 8 = 53 b.)-bw-12=51 c.) + 12 = -2

Answers

Simplify the complex fractions
A) (from the picture) = 1 2/5.
B) (from the picture) = 13/22
Solve each equation below
A) (from the picture) x= 9
B) (from the picture) w= 10 1/2
C) (from the picture) y= -80
Find the sum of each number below. Describe how you know what the sign of you answer will be.
A) -19 + 8 = -11
B) -6 + (-5) = -11

Jana is ordering a list of numbers from least to greatest.

Answers

Answer:

Thee numbers would be from the least worth to greatest worth.

Answer:

D.√7=2.64. since 2.64 is greater than 0.8,√7 is greater than 5/4

Given:
p: student achieves 90 percent on the geometry final.
q: student will receive a passing grade in geometry class.

Which statement is logically equivalent to q - p?

O If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
O If a student passes geometry class, then the student achieved 90 percent on the geometry final.
O If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
O If a student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.​

Answers

Answer:the answer is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Find the area of the base B of the solid.

7 in

Volume= 84 π in. 2

Answers

Answer:

12

Step-by-step explanation:

v=[tex]\pi[/tex]r²h

84[tex]\pi[/tex]=

84[tex]\pi[/tex]÷7

12=r²

area of a circle is [tex]\pi[/tex]r²

so B is 12[tex]\pi[/tex]in²

The area of the base of the cylinder in the image given will be  12pi in.

How to Find the Base Area of a Cylinder?

The formula for the volume of a cylinder = πr²h, where:

Base area of the cylinder (B) = πr²

(r is the radius)

The Height of the cylinder = h

The given cylinder has the following,

Height of cylinder (h) = 7 in.

Volume of cylinder = 84pi in.³

Then Substitute into the volume formula:

(πr²)7 = 84pi

(B)7 = 84pi (B = area of the base)

Divide both sides by 7;

(πr²)7/7 = 84pi /7

B = 12pi

Therefore, the area of the base of the cylinder in the image given will be  12pi in.

Learn more about the base area of cylinder on;

brainly.com/question/76387

#SPJ6

Solve for x. 4x - x + 12 = 0 *

Answers

Answer:

x = -4

Step-by-step explanation:

4x - x + 12 = 0

3x + 12 = 0

3x = -12

x = -4

A line parallel to
y=5x+2

Answers

Answer:

y = 5x + 3 (or, any line with the slope equal to 5 and a different y-intercept)

Step-by-step explanation:

Parallel lines will have the same slope.

So, a line such as y = 5x + 3 will be parallel because it has the same slope as the original line, which is 5.

There are almost an infinite amount of parallel lines, it just has to have the same slope and a different y-intercept.

Lines like y = 5x + 1 and y = 5x are also parallel.

Answer:

y=5x-8

Explanation:

A line that is parallel to another has the same slope.

The difference between these is where they cross the y-axis.

Hopefully this helps, have a good dayy!! :)

In an average month, Jaden sends 200 texts and talks for 100 minutes. Give the cost for plan A and for plan B. Then tell which plan will cost Jaden the least amount of
money.
Plan A
Jaden has a prepaid phone plan (Plan A) that charges 15 cents for each text sent and 10 cents per minute for calls.
Plan B
Jaden discovers another prepaid phone plan (Plan B) that charges a flat fee of $15 per month, then $.05 per text sent or minute used.

Answers

Answer:

Plan B

Step-by-step explanation:

Let's calculate the amount required for each plan

Plan A0.15*200 + 0.10*100 = $40Plan B15 + 200*0.05 + 100*0.05 =  $30

As we see Plan B costs less

conversions LT6
You've won a new prize! Go to your game board, X
An 8-pint carton of ice cream costs $27.36. What is the price per quart?

Answers

It is $6.84 one quart is 2 pints therefore you can take the price and divide by 4

Which expressions are equivalent to x + 2y + x + 2

Answers

Answer:

2x + 2y + 2

Step-by-step explanation:

Step 1: Write out expression

x + 2y + x + 2

Step 2: Combine like terms

2x + 2y + 2

Add  x  and  x.

Combine like terms

2x + 2y + 2

Write a real world problem for 290=48+22x

Answers

You have 48 napkins. You're planning on buying some packages of napkins at the store later. Each package contains 22 napkins. You've got to buy enough since you've need 290 napkins. How many packages of napkins will you buy? Let the amount of packaged napkins you'll buy be x.

if rs=2x-1 and st=4x+7 then x=
rt=60

Answers

Answer:

9

Step-by-step explanation:

GivenRS = 2x - 1ST = 4x + 7RT = 60x= ?Solution

Since S is the point on the line segment RT,

RT = RS + ST, and

60 = 2x - 1 + 4x + 760 = 6x + 610 = x + 1x = 10 - 1x = 9

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