factor tree
67344 using prime numbers​

Answers

Answer 1

Answer:

[tex]2^4*3*23*61[/tex]

Step-by-step explanation:

[tex]\begin{array}{c|c}67344&2\\33672&2\\16836&2\\8418&2\\4209&3\\1403&23\\61&61\\1&\\\end{array}[/tex]


Related Questions

Can someone help me with this math homework please!

Answers

9514 1404 393

Answer:

7/3-3y = 7/3x - 3

Step-by-step explanation:

1) The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -(-3))/(3 -0) = 7/3

__

2) The y-intercept is the point where x=0:

  (x, y) = (0, -3) . . . . . y = -3

__

3) Then the slope-intercept equation is ...

  y = mx + b . . . . . . . line with slope m and y-intercept b

  y = 7/3x -3

Are all numbers natural numbers

Answers

The whole numbers are the numbers 0, 1, 2, 3, 4, and so on the natural numbers and zero. Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.

Which digit in 123.456 has highest value?
Digit
6

5

4
1

Answers

Which digit in 123.456 has highest value?

answer = 1....

Answer:

1

Step-by-step explanation:

The 1 is in the hundredth's place and it has the highest value

find the range. 130,131,132,134,135136,137,138,139,141,142,143,144,146,148,146,149,158,169​

Answers

Answer:

The answer is 12

Step-by-step explanation:

The range is the difference between the lowest and highest values. In this case, this means 142 - 130 which equals 12.

Answer:

12

Step-by-step explanation:

Range = Largest number - Smallest number

Larger number = 142 ; Smallest number = 130

142-130 = 12

Range = 12

Line r is parallel to line c.​

Answers

Answer:

I think ∆5 is the correct Ans

Answer:
Angle 5

Explanation:
It is given that there are parallel lines, so by opposite interior angles by the line intersecting the parallel lines angle 5 is congruent to angle 3.

find the length of a side and perimeter of square those area is 256 square​

Answers

you have to add the square root then do the division 54 is the answer

Answer:

x2 = 256; 16 m

Step-by-step explanation:

Let x=​  the length of the side ofthe square. So an equation tomodel this problem is x2=256.x2xx===256256⎯⎯⎯⎯⎯⎯√± 16The side of a square with an areaof 256 m2 is 16 m.

Which number produces a rational number when added to 0.25? ​

Answers

The step of adding it to 0.25 (or 25/100, or 1/4) is indeed not relevant. 0.25 is rational.

A rational number added to a rational number gives a rational number. A rational added to an irrational number doesn't.

so effectively the task can be reduced to "wich one of these is a rational number?"

And that's only true for A. 2/9

All others can't be represented as a discrete/finite fraction / ratio.

The sum of two rational numbers is a rational number thus option (A) is correct.

What is an irrational number?

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.

The sum of two rational numbers gives the rational number.

Since 2/9 is written in p/q where 2 and 9 both are integers thus it will be rational.

So, 2/9 + 0.25 = 2/9 + 1/4

(8 + 9)/36 = 17/36 here 17 and 36 both are integers thus it will be rational.

Hence "A rational number is the result of two rational numbers".

For more about the irrational number,

https://brainly.com/question/4031928

#SPJ2

Please solve this problem 9p-10=6+p?

Answers

Answer:

p=2

Step-by-step explanation:

9p-10=6+p

Subtract p from each side

9p-p-10=6+p-p

8p -10 =6

Add 10 to each side

8p -10+10 =6+10

8p =16

Divide each side by 8

8p/8 = 16/8

p =2

Answer:

p = 2

Step-by-step explanation:

1. 9p - 10 = 6 + p

2. 8p - 10 = 6

3. 8p = 16

4. p = 2

Help please…

If (tan^30-1/tan0-1)-sec^20+1=0, find cot0

Answers

Answer:

dl5fgtrrfhrruf ofender fkufgj jjgglr

Full working out for these questions please.
First question is the first attachment and the second question is the second attachment.

Answers

Answer:

c,  

Step-by-step explanation:

Explain how to solve 5^(x-2)= 8 using the change of base formula

Answers

Answer:

x = 3.3

Step-by-step explanation:

A equation is given to us and we need to solve out for x. The given equation is ,

[tex]\sf\longrightarrow 5^{x -2}= 8 [/tex]

Take log on both sides with base as " 10" . We have ,

[tex]\sf\longrightarrow log_{10} 5^{x-2}= log_{10}\ 8[/tex]

Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,

[tex]\sf\longrightarrow ( x -2) log_{10} 5 = log_{10} 8 [/tex]

Simplify ,

[tex]\sf\longrightarrow ( x -2 ) log_{10}5 = log_{10} 2^3[/tex]

Again simplify using the property of log ,

[tex]\sf\longrightarrow (x-2) log 5 = 3 log 2[/tex]

We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,

[tex]\sf\longrightarrow ( x - 2 ) = \dfrac{ 3\times 0.301}{0.69}[/tex]

Simplify the RHS ,

[tex]\sf\longrightarrow x - 2 = 1.30 [/tex]

Add 2 both sides ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x = 3.30}}[/tex]

Hence the Value of x is 3.30 .

Answer:

its actually 3.292 because we round to the nearest thousandth and thats not even the equation you use above

Step-by-step explanation:

For this equation we use the formula log a^m=m (log a) so the equation will be written as log 5 (5^x-2) = log 5 (8). You use the base, which is 5, and use log to base 5 on both sides of the equation. Then you take the exponent " x-2" and write( x-2) log 5 (5) = log 5(8). Since log a =1, you multiply that 1 by x-2, which keeps it x-2. Making the equation x-2 = log 5 (8). Next, we use the change of the base properties with the formula log b^y= log y/ log b. The equation will be written as x-2 = log 8/ log 5, since 5 is the base it stays in the bottom or basement. We then add +2 to both sides of x-2 and log 8/ log 5. To solve this equation, you can find out what log 8 and log 5 are and divide those and add +2 to solve. So log 8 = 0.903 and log 5 = 0.698970 and divide those to get 1.29190 +2 and you get the answer rounded as 3.292. 

Is this true or false

Answers

Answer:

I say it's TRUE

Step-by-step explanation:

I hope this help you

I assume that it’s true

What is the product?
(-2d^2+s)(5d^2-6s)

Answers

Answer:

Option 1: -10d⁴ + 17d²s - 6s²

General Formulas and Concepts:

Algebra I

Terms/CoefficientsExpand by FOIL

Step-by-step explanation:

Step 1: Define

Identify

(-2d² + s)(5d² - 6s)

Step 2: Expand

FOIL:                                                                                                                  -10d⁴ + 12d²s + 5d²s - 6s²Combine like terms:                                                                                         -10d⁴ + 17d²s - 6s²

expand this question (x+5)(x-3)

Answers

X•x + x•-3 + 5•x +5•-3
X^2+-3x+5x+-15
X^2+2x-15

a line has slope 3 and y-intercept 4

Answers

Answer:

y = 3x+4

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 3x+4

a) Arrange the following numbers so that the sum of any two neighbouring numbers is a perfect square.
7 , 11 , 9 , 14 , 16 , 2 , 25
Ex. 3+6 = 3^2 and 6+10 = 4^2

b) Find a way to arrange all of the intervenes from 1 to 17 to a list with the property from part a)

Answers

I'll do part (a) to get you started.

One possible answer to part (a) is 25,11,14,2,7,9,16

There are likely other possible answers.

The explanation is below.

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

Let's say 7 is the anchor value and we want to see which values could be its next door neighbor.

It can't be 11 since 7+11 = 18 isn't a perfect square.But 9 works because 7+9 = 16 is a perfect square (4^2 = 16)14 doesn't work because 7+14 = 21 isn't a perfect square16 doesn't work either since 7+16 = 23 isn't a perfect square2 however does work since 7+2 = 9 is a perfect squareLastly, 25 won't work because 7+25 = 32 isn't a perfect square

To summarize this subsection, the anchor value 7 could have the neighbors 9 and 2.

So we could have 2,7,9 or 9,7,2 as a subsequence. We'll keep this in mind for later.

------------------------------------------------

Now we'll make 11 the anchor. We already checked 7 and it doesn't work.

9 doesn't work either because 11+9 = 20 isn't a perfect square

11+14 = 25 does work11+16 = 27 doesn't work11+2 = 13 doesn't work11+25 = 36 does work

Of that list, only 14 and 25 are possible neighbors of the anchor value 11.

So we could have the subsequence 14,11,25 or 25,11,14.

------------------------------------------------

If 9 is the anchor, then,

9+7 = 16 works like we found earlier (section 1)9+11 = 20 doesn't work9+14 = 23 doesn't work9+16 = 25 does work9+2 = 11 doesn't work9+25 = 34 doesn't work

The values 7 and 16 are possible neighbors of 9. We could have the subsequence 7,9,16 or 16,9,7

Let's go back to the subsequence 2,7,9 and tack 16 at the end to get 2,7,9,16

------------------------------------------------

If 14 is the anchor, then,

7 doesn't work because 14+7 = 2111 does work either because 14+11 = 259 doesn't work because 14+9 = 2316 doesn't work because 14+16 = 302 does work because 14+2 = 1625 doesn't work since 14+25 = 39

We could have the subsequence 11,14,2 or 2,14,11

Let's go with the first option and stick "11,14,2" in front of "2,7,9,16" to end up with the larger subsequence 11,14,2,7,9,16

We can then stick 25 at the front because 25+11 = 36 is a perfect square.

------------------------------------------------

So one possible sequence of values is 25,11,14,2,7,9,16

Here's the verification

25+11 = 36 is a perfect square (6^2 = 36)11+14 = 25 is a perfect square (5^2 = 25)14+2 = 16 is a perfect square (4^2 = 16)2+7 = 9 is a perfect square (3^2 = 9)7+9 = 16 is a perfect square (4^2 = 16)9+16 = 25 is a perfect square (5^2 = 25)

Each pair of adjacent terms add up to a perfect square, so the answer is confirmed.

There are probably other solutions as well.

Side note: The video math channel "Numberphile" has a video discussing this topic in which you might be interested in. Search out "The square sum problem" with quotes (the presenter/teacher in the video is Matt Parker).

Answer:

25, 11, 14, 2, 7, 9, 16.

Step-by-step explanation:

25 + 11 = 6^2

11 + 14 = 5^2

14 + 2 = 4^2

2 + 7 = 3^2

7 + 9 = 4^2

9 + 16 = 5^2

Keith used the following steps to find the inverse of f, but he thinks he made a error
f(x) = 7x + 5

Answers

Answer:

Step-by-step explanation:

[tex]\Large \boldsymbol{} f(x) \ \ inverse \ \ function \ \ (f(x))^{-1} \\\\ y=7x+5 \\\\x=7y+5 \\\\ y=\dfrac{x-5}{7} \ \ or \ \ f(x)^{-1}= \dfrac{x-5}{7}[/tex]

Write (4√81)^6 in exponential form.

Answers

Answer:

Step-by-step explanation:

[tex](4\sqrt{81})^{6} = (4*\sqrt{9*9} )^{6}\\\\=(4*9)^{6}\\\\=(2^{2}*3^{2})^{6}\\\\=[(2*3)^{2}]^{6}\\\\=(6)^{2*6}\\\\=6^{12}[/tex]

Exponent Laws:

[tex](a^{m}*b^{m}) = (a*b)^{m}\\\\(a^{m})^{n}=a^{m*n}[/tex]

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{(4\times\sqrt{81})^6}\\\\\mathsf{\sqrt{81} = \bf 9}\textsf{ because half of \underline{81} is \underline{9} or 9 multiplied by itself gives you 81}\\\\\mathsf{= (4\times9)^6}\\\\\mathsf{4\times9 = \bf 36}\\\\\mathsf{36^6}\\\mathsf{= 36\times36\times36\times36\times36\times36}\\\mathsf{= 1,296\times1,296\times1,296}\\\mathsf{= 1,679,616\times1,296}\\\mathsf{= \bf 2,176,782,336\ also\ known\ as \ 6^{12}}\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 6}^{\bf 12}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A cash register at a store contains $277 bills. There are six more $5 bills than $10 bills. The number of $1bills is two more than 24 times the number of $10 bills. How many bills of each kind are there

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't well written, the store contains $227 and not $277.

let c be the number of $1 bills

let f be the number of $5 bills

let t be the number of $10 bills.

Therefore, the equation will be:

1c + 5f + 10t = 227

Since there are six more $5 bills than $10 bills, therefore,

f = t+6

Also, the number of $1 bills is two more than 24 times the number of $10 bills and this will be:

c = 24t + 2

Now, we substitute the equation for f and c into the main equation and this will be:

1c + 5f + 10t = 277

1(24t + 2) + 5(t + 6) + 10t = 227

24t + 2 + 5t + 30 + 10t = 227

39t + 32 = 227

39t = 227 - 32

39t = 195

t = 195/39

t = 5

Therefore, there are 5 $10 bills

Since c = 24t + 2

c = 24(5) + 2

c = 120 + 2

c = 122

Therefore, there are 122 $1 bills

Since f = t+6

f = 5+6

f = 11

Therefore, there are 11 $5 bills.

Find the dependent and independent variable in r= 5s+ 3.

Answers

Answer:

Dependent variable: s andIndependent variable: r

Step-by-step explanation:

hopes it help

Answer:

s is independent

r is dependent

Step-by-step explanation:

An American sausage is 4/3 inches long. How many pieces of sausage can be cut from the 4/3 inch piece of sausage if each piece is two-thirds of an inch?

Answers

Answer:

2 Pieces can be cut

Step-by-step explanation:

We know that our sausage is 4/3 inches and we want to know how many 2/3 pieces can be cut. we start by examining our fractions.

4/3 & 2/3, since they have the same denominator we can simply divide the total length by how big each cut should be!

4/3 ÷ 2/3 = 2

Write a complex number with an absolute value between 3 and 8

Answers

Ksondhjdnodmdjdldkjf

Sohanlal is a gardener He is paid 160 daily find how much money will he get in the month of September

pls give me your answers

Answers

Step-by-step explanation:

money he gets daily - 160

total days in September month - 30

his monthly income - 160×30 = 4800

hence the money he gets in month of September is 4800 (units)

PLZ SOMEONE HELP!!!

Reggie was solving a system of equations. after manipulating them, he decides to add the two equations shown below together to eliminate the variable x. what property justifies this?

6x + 5y = 17
-6x + 2y = 4

please show work :)

thank you to anyone who helps me :)))

Answers

Answer:

let me work on it

Step-by-step explanation:

Jackson's current salary is $36,000 per year. Each year his salary is 1.04 times the previous yeal's salary. What

will his salary be in his 5th year?

OA) $42,214.92

OB) $42,114.91

Calculate.
12C4

Please help!

Answers

Answer:

495

Step-by-step explanation:

[tex] {12 \: }^{c} \: 4 = \frac{12!}{4!(12 - 4)!} \\ = \frac{12!}{4! \times 8!} \\ = \frac{12 \times 11 \times 10 \times 9 \times 8!}{4! \times 8!} [/tex]

canceling 8! from both numerator and denominator.

[tex] \frac{12 \times 11 \times 10 \times 9}{4 \times 3 \times 2 \times 1} \\ = 11 \times 9 \times 5\\ = 495[/tex]

Factorial of an integer, in mathematics, is the product of all positive integers less than or equal to the given positive integer.

Factorial of a number is denoted by placing an exclamation mark behind the number

[tex]\quad\quad\quad\quad \net\net \net\netu\internetu\y\menyaa \la\la\la\la\\\\\\\\\\\\\dddddddddd\\\FFFFFFFF\\\\\\\\\\\\\ \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\displaystyle\ \Large \boldsymbol{} _{12}C_4=\frac{12!}{4!(12-4)!} =\frac{12!}{4!\cdot8!} =\frac{12\cdot11\cdot10\cdot9\cdot8!\!\!\!\!\!\diagup}{4!\cdot8! \!\!\!\!\!\diagup} = \\\\\\\frac{12\!\!\!\!\!\diagup\cdot11\cdot10\cdot9}{24\!\!\!\!\!\diagup_{\ \ 2}}= \frac{11\cdot10\cdot9}{2} =\boxed{495}[/tex]

Find the center and radius of the circle whose equation is x 2 + y 2 - 6x - 2y + 4 = 0

Answers

Answer:

[tex]{ \tt{ {x}^{2} + {y}^{2} - 6x - 2y + 4 = 0 }} [/tex]

Center:

[tex]{ \tt{(3, \: 1)}}[/tex]

Radius:

[tex]{ \tt{radius = \sqrt{ {g}^{2} + {f}^{2} - c } }} \\ = \sqrt{36 + 4 - 4} \\ = 6 \: units[/tex]

v=u + 2at
Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the
acceleration (in m/s?) and t is the time in seconds).
Find v when u is 35 m/s, a is 28 m/s2, and t is 58 seconds.

Answers

Answer:

3283m/s

Step-by-step explanation:

V=U+2at

V=35+2(28)(58)

V=35+3248

V=3283m/s

*Please Help!*

What is the volume of water, to the nearest tenth of a cubic metre, that would fill this spa tub?

First cylinder= 0.75m diameter, 0.80m height

Cylinder Underneath= 1.25m diameter, 0.70m height

Semi Sphere that holds both cylinders= 3m long

Answers

Answer:

The volume of water that will fill the spa tub is 5.9 cubic meters.

Step-by-step explanation:

Volume of water that would fill the spa tub = volume of semi sphere - (volume of the first cylinder + volume of the second cylinder)

i. volume of first cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

where r is the radius and h is the height of the cylinder.

r = [tex]\frac{0.75}{2}[/tex] = [tex]\frac{3}{8}[/tex]

 = 0.375 m

h = 0.80 m

volume of the first cylinder = [tex]\frac{22}{7}[/tex] x [tex](\frac{3}{8} )^{2}[/tex] x 0.8

                                        = 0.3536 cubic meters

ii. volume of the cylinder underneath = [tex]\pi[/tex][tex]r^{2}[/tex]h

r = [tex]\frac{1.25}{2}[/tex] = [tex]\frac{5}{8}[/tex]

 = 0.625

h = 0.70 m

volume of the cylinder underneath = [tex]\frac{22}{7}[/tex] x [tex](\frac{5}{8}) ^{2}[/tex] x 0.7

                                                      = 0.8594 cubic meters

iii. volume of the semi sphere = [tex]\frac{2}{3}[/tex] [tex]\pi[/tex][tex]r^{3}[/tex]

where r is the radius = 1.5 m

volume of the semi sphere = [tex]\frac{2}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]

                                             = 7.0714 cubic meters

Thus,

volume of the water to fill the spa tub = 7.0714 - (0.3536 + 0.8594)

                                                     = 5.8584

The volume of water that will fill the spa tub is 5.9 cubic meters.

Gary's income and expenses in a month are 4,000 and 3,360 respectively.
a) What percentage of his income are expenses?
b) What percentage of his income is savings?
(SHOW YOUR WORK!)

Answers

Answer:

84%

Step-by-step explanation:

3360/4000=.84

.84=84%

Find the length of BC

Answers

Answer:

Hope this helps.. Have a good day

Other Questions
Ariana is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Ariana will earn $40 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Ariana earned a total of $500 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Ariana's songs were played. Define the variables that you use to write the system. The perimeter of a rectangular parking lot is 318m. If the width of the parking lot is 61m what is the length Immigrants into Spanish Texas who came from mixed Spanish and Native American heritage were called______________.a.Lipan Apachesb.Mestizosc.Vaquerosd.Canary Islanders Translate the following phrase into an algebraic expression. use the variable n to represent the number. 4 less than triple a number Cundo ha sentidonostalgia usted oalguien cercano austed? Find an equation in slope-intercept form of the line that has slope 7 and passes through point A(8,-4)a.) y = 52x + 7b.) y = 7x + 52c.) y = -7x - 52d.) y = -7x + 52 Decide whether the graphs of the two equations are parallel. y=3x+8 and y/3-3=x Beasley, Inc., reports the following amounts in its December 31, 2021, income statement. Sales revenue $ 310,000 Income tax expense $ 39,000 Interest expense 12,000 Cost of goods sold 125,000 Salaries expense 36,000 Advertising expense 23,000 Utilities expense 42,000 Prepare a multiple-step income statement. write a letter to editor about garbage management in your locality? discuss the issue of social justice related to food consumption in developed and developing country x^3 -2mx^2 +16 (x+2)PLS ANSWER FASTI WILL MARK YOU THE BRANLIEST Determine the value of X. Please explain the answer complete the following sentences:Yo ______ una rica ensalada (com)(juego)A el le ________ mucho el tenis (gusta)(Pica)Ayudenme u: c im ca quy lut l What can descriptive details help a reader understand? Check all that apply.what something looks likewhat something smells likehow something soundshow a word is spelledwhat something feels like Portillo's Fast Food restaurants are changing their hot dog vendor. The company has realized that in order to stay competitive, its hot dogs need to be made larger and shorter so that they can fit in a new smaller-sized hot dog bun. Consequently, Portillo's is looking for a vendor that can provide a product according to its new specifications at a price that is less than what it was paying in the past. At what stage in the business buying process is Portillo's a bag contains 10 playing cards . 7 of which are Black and 3 Red . Two cards are drawn one after the other from the bag without replacement. A. Find the probability that a Red and a Black cards were drawn. How would you display a set of data graphically? Draw a wave that has a wavelength of 3 cm and an amplitude of 1 cm. Label the wavelength, the amplitude, the rest position, and the crest and trough of your wave. What is the x-coordinate of the point of intersection for the two lines below?-6 + 8y = -67x -10y = 9 Answer choices 1.) -62.) -33.) 34.) 7