Express 72 as a product of its prime factors.

Answers

Answer 1
The trick is to just keep factoring out 2 until you get all prime numbers.

72 = 36 * 2
36 = 18 * 2
18 = 9 * 2
9 = 3 * 3

Therefore, the answer is:
72 = 2 * 2 * 2 * 3 * 3

Hope this helps

Related Questions

I don’t know what letters go in what order, an explanation would be appreciated

Answers

Answer:

Step-by-step explanation:

Congruent triangles:

   8) AC = DC              Given

       BC  = EC              Given

      ∠ACB ≅ ∠DCB    Vertically opposite angles are congruent

ΔACB ≅ ΔDCB       SAS congruent

9)  RS = TS                              Given

     SU =SU                              Reflexive property

     ∠RSU = ∠TSU                    Given

ΔRSU ≅ ΔTSU                  SAS congruent

I need this solved please

Answers

Answer:

Below in bold.

Step-by-step explanation:

The 3 angles of a triangle sum to 180 degrees, so:

if one angle is x degrres the other id 2x, and:

x + 2x + 60 = 180

3x = 180 - 60 = 120

x = 120/3 = 40

So m<B = 40 and m < A = 80 degrees.

please #3 is wrong i need help i only need the answer to it

Answers

3x² + 4

3.-3.-3 + 4

27 + 4

31

hope it helps...!!!

Answer:

31

EXPLANATION

[tex] = 3 \times { - 3}^{2} + 4 \\ = 3 \times 9 + 4 \\ = 27 + 4 \\ = 31[/tex]

Expression in simplest form

Answers

Answer:

 [tex]-x^{3} -9x^{2}[/tex]

Step-by-step explanation:

I think.

Pls give Brainliest.

help pls, how do i answer this one

Answers

Answer:

h > 24

Step-by-step explanation:

h/3 > 8

so basially you move the number three from the left side to the right side

so from division to multiplication

h > 8 x 3
h > 24
Solved !

Hope it helped ! Have a nice day !

If you do these 2 problems you get 100 points

Answers

Answer:

BELOW

Step-by-step explanation:

DO I HEAR 100 POINTS? Yes.

For the first image, that answer is A.

For the second image, I'm a bit confused on which problems you want me to do, so I'll do number 10, 11, and 14.

10) Yeah, you're correct, it is J.

11) (1,-6), (-2,-5), (8,2) (4,0) and I can't see the last point so..

14)  Can't see the question :(

#1

x-4y≤-12-4y≤-x-124y≥x+12y≥1/4x+3

Put (0,0)

0≥0+3 is false

Shading will be away from origin.

y inetercept

y=3(when x=0)

Check the direction of line by taking 4 and -4

y=4/4+3=y=4y=-4/4+3=-1+3=2

The graph should bend down on left side while rise up in right side

Option A

#2

5x-4y>4-4y>-5x+44y<5x-4y<5/4x-1

Putting origin in it

0>-1

Shading away from origin

And

x+y<2y<2-x

Putting origin

0<2

Shading towards origin

Option B as shading should be downwards here

An experiment involves placing the males and females of a laboratory animal species in two separate controlled environments. there is a limited time available in these environments, and the experimenter wants to maximise the number of animals subject to the constraints described. how many males and how many females will maximise the total number of animals? males females time available environment a 20 min 25 min 800 min environment b 20 min 15 min 600 min

Answers

15 males and 20 females would maximize the total number of animals

How to determine the number of males and females?

The table is given as:

                           Males      Females    Time available

Environment a    20 min      25 min       800 min

Environment b    20 min      15 min       600 min

Represent the male with x and the female with y.

The time available is limited i.e. ≤

So, the constraints are:

20x + 25y ≤ 800

20x + 15y ≤ 600

Solve the above system of inequalities graphically (see attachment)

(x, y) = (15,20)

Hence, 15 males and 20 females would maximize the total number of animals

Read more about maximizing functions at:

https://brainly.com/question/16826001

#SPJ1

Prove cos^2 t+4cos t+4/cos t+2=2sec t+1/sec t

Answers

[tex]\text{L.H.S}\\\\=\dfrac{\cos^2 t +4\cos t +4}{\cos t +2 }\\\\\\=\dfrac{(\cos t)^2 + 2\cdot 2\cos t+2^2}{\cos t +2}\\\\\\=\dfrac{(\cos t +2)^2 }{\cos t +2}\\\\\\=\cos t +2\\\\\\=\dfrac 1{\sec t} +2\\\\\\=\dfrac{2\sec t +1}{\sec t}\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

A polar curve is represented by the equation r1 = 7 + 4cos θ.

Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.

Part B: Is the curve symmetrical to the polar axis or the line theta equals pi/2 Justify your answer algebraically.

Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?

Answers

R1=67
Curve=27
R1=7*4cos0 and r2=4+4cos9

Answer:

  a. dimpled: 4 < 7 < 2·4

  b. not symmetrical about θ = π/2

  c. r2: smaller, cardioid

Step-by-step explanation:

The general form of the equation for a limaçon can be written ...

  r = a·cos(θ) +b

This equation gives rise to 4 types of limaçon based on the relationship between a and b:

looped: b < acardioid: a = bdimpled: a < b < 2aconvex: 2a ≤ b

__

A.

We have a=4, b=7, so a < b < 2a. The limaçon is dimpled.

B.

The equation is not the same if θ is replaced by π/2 -θ. The curve is not symmetrical about θ = π/2.

C.

The equation for r2 ...

gives a cardioid limaçongives a limaçon with a smaller diameter (radial extent)

The four small circles are identical. The total area of the small circles is 64pi square inches. What is the area of the larger circle? Write your answer in terms of pi .

Answers

Answer:

64 in²

Step-by-step explanation:

I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.

Remember,

A = [tex]\pi r^2[/tex]

And if we have 4 circles that means the area of one circle is 1/4th the total

So,

[tex]A=\frac{\pi r^2}{4}[/tex]

Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.

[tex]A=\frac{16\pi }{4}=\frac{4\pi }{1}=4\pi[/tex]

Now lets get it back to  by square rooting the 4

[tex]A=\sqrt4\pi =2\pi[/tex]

The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.

This gives us a final radius of the bigger circle of 8

Therefore, the area of the bigger circle is 8² which simplifies to 64

And a final answer of

64[tex]\pi[/tex] in²

Hope this helps :)

In parallelogram M NOP, PK = 5x and K N = n2 – 14.
What is PN?
A. 7
B. 36
C. 70
D. 100

Answers

Answer:

C.) 70

Step-by-step explanation:

The line PN is made up of PK and KN (PN = PK + KN). We also know that PK must equal KN (definition of a parallelogram). Therefore, you can set the value of both lines equal to each other, solve for x, then add them together to find PN.

PN = ?    
PK = 5x    
KN = n² - 14

PK = KN                                  <----- Both lines must equal one another

5x = n² - 14                             <----- Substitute values in

0 = n² - 5x - 14                        <----- Subtract 5x from both sides

0 = (x - 7)(x + 2)                      <----- Factor

x = 7    x = -2                          <----- Set both parentheses equal to 0

The value for "x" can be 7 and -2. However, it does not make sense to use a negative value in this situation. If we were to plug -2 into the equations, it would result in lines with a negative value. Therefore,  "x" must be 7. Next, plug this value in for "x" to find the numerical value of PK and KN.

PK = 5x  ----->  5(7) = 35

KN = n² - 14  ----->  (7)² - 14 = 35

The fact that these are equal makes sense. Now, add these two numbers to find the value of the overall line.

PK + KN = PN

35 + 35 = 70

Therefore, C.) 70 is the value of PN.

3x^2 - x + 4 and 2x- 4x^2 - 7

Answers

Answer:

Step-by-step explanation:

3x^2 - x + 4 and 2x- 4x^2 - 7

3x^2 - x + 4 = no solution

2x- 4x^2 - 7 = no solution

Part 1: What is the mean score, rounded to the nearest whole number?

Part 2: What is the median score?

Part 3: What is the mode score?

THIS IS NOT A QUIZ DONT REMOVE

Answers

Mean : 16
Median : 17
Mode : 18




Explanation :

Mean :

8+9+12+12+13+13+13+15+16+16+16+17+17+18+18+18+18+18+19+19+19+19+20+20 = 383

383 divided by 24 = 15.95

Rounded : 16


Median :


8+9+12+12+13+13+13+15+16+16+16+17+17+18+18+18+18+18+19+19+19+19+20+20

There are 24 numbers here, the two middle numbers are 17 and 17.

17+17 = 34
34 divided by 2 = 17

Mode :


8+9+12+12+13+13+13+15+16+16+16+17+17+18+18+18+18+18+19+19+19+19+20+20

We see here 18 is repeated 5x, thus making it the number repeated the most.


I need help to find the equation and measures pls help me.

Answers

Answer:

Equation: 2x + x = 180

x = 60

∠GFH = 120

∠CBD = 60

Step by step:

Use 2x + x = 180 because the angles are on a straight line meaning they have a sum of 180:

2x + x = 180

3x = 180

3x/3 = 180/3

x = 60

Now just substitute:

∠CBD = x = 60

∠GFH = 2x = 120

Step-by-step explanation:

u didn't showed me but I will help u

here is your answer

What is the answer to:
-4(2x+2) <-40

Answers

Answer: x > 6

Step-by-step explanation:  -4(2x+2) < -40

-8x - 8 < -40

      +8     +8

-8x < 48

/-8x   /-8x

x  > 6              *The less than sign got flipped to a greater than sign because we divided by a negative.

what is log_{6}6^{3} in an equivalent form

Answers

[tex]\log_6 6^3\\\\=3 \log_6 (6)~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3 \cdot 1~~~~~~~~~~~~~~~~~~~~~~;[\log_a a=1]\\\\=3[/tex]

The diagram show a circle centre 0. write down the mathematical name of

Answers

Answer:

(a) sector

(b) chord

(c) tangent

Step-by-step explanation:

sector: a sector in a circle is enclosed by two radii and an arc.

chord: this is a straight line that divides the circle into two unequal parts

tangent: a tangent touches a circle in only one point without entering inside the circle.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

C. 1/4

Step-by-step explanation:

Step 1

Make the fraction denominators the same!

1/2 will become 4/8 over here, and 2/8 is already good!

Step 2

Subtract the new fractions!

4/8 - 2/8 is easy! It's 2/8

Step 3

Simplify the answer (2/8)

2/8 will become 1/4 when simplified

Hence, the final answer is 1/4

or C

Sam is using the expression M/8n in class. What is the value of this expression when m = 4 and n = 1/2

Answers

Answer:

1

Step-by-step explanation:

m/8n > 4/8(1/2) ( since its 1/2 all you need to do is change the fraction to whole number which is 1/2 = 0.5)

The given will become 4/4 then simplest form is 1

Anybody want to help with math? :)
(x^5y^2-x^3y^2+xy-1)-(x^5y^2-x^4y^2-x^3y^2-x^2y+xy-1)
Ty :)

Answers

Attached images. :)

-

Comment if it's confusing, I would love to explain. <3

How is the sample space related to a probability model?

Answers

Answer:

The sample space S for a probability model is the set of all possible outcomes.

How do I match these?

Answers

Step-by-step explanation:

fgx= x+6

g(f(x)=√x²+6

am not sure about the rest

Please help me on this!

Answers

Answer:

A. The initial amount of medicine.

Step-by-step explanation:

Same explanation as the one I answered before. The 250 is the original value.

What is the surface area of the cylinder with a raidus of 4 and a high of 10 square meters? Use 3.14 for pi.

Answers

Answer:

351.68 m²

Step-by-step explanation:

surface area of cylinder = 2πrh + 2πr²

r = 4m

h = 10m

2πrh + 2πr² = 2*π*4m*10m + 2*π*(4m)² = 2*3.14*4m*10m + 2*3.14*4m*4m = 351.68 m²

Volume of a standard cereal box l=8in w=3in h=11in

Answers

When it comes to rectangular 3d objects you just multiply length width and height so in your calculator you put 8x3x11 which equals to 264in cubed

i have the radius i need the center

Answers

[tex]\boxed{\sf (-3, -1)}\boxed[/tex]

Can anyone help please, Thanks.

Answers

Your going to want to take 34 pounds and subtract 2.6 pounds. If you need help with the division, check out a website called Calculator Soup. It’s very helpful. Good luck!

how can i solve 8+3(2x-7)=11x

Answers

Answer:

x = -13/5

Step-by-step explanation:

8+3(2x-7) = 11x

8 + 6x - 21 = 11x
     8 - 21   = 11x - 6x
     -13        = 5x
      -13/5    = x

Geometry given right triangle ABC with altitude BD drawn to hvpotenuse AC. If AD = 8
and BD = 4, what is the length of DC?

Answers

Answer: 2

Step-by-step explanation:

All items in a clothing store are on sale for the same percentage off the original price.

•The original price of a pair of pants is $20.
• The sale price of the pants is $15
• The original price of a shirt is $16

Enter the sale price, in dollars, of the shirt ​

Answers

Answer:

$12 is the sale price of shirt.

Explanation:

Calculate the percentage of sale

[tex]\sf \rightarrow \sf \dfrac{15}{20} *100[/tex]

[tex]\sf \rightarrow \sf 75 \%[/tex]

Then find the sale price of shirt

original price * percentage of sale

$16 * 75%

$12

Answer:

$12

Step-by-step explanation:

Method 1

First, calculate the sale discount as a percentage using the given information about the pants.

$20 = Original price of pants$15 = Sale price of pants

[tex]\sf percent\:change=\dfrac{|final\:value-initial\:value|}{initial\:value} \times 100[/tex]

[tex]\implies \sf percent\:change=\dfrac{|15-20|}{20} \times 100=25\%[/tex]

Therefore, the clothes are on sale with a 25% discount.

This means they are 75% of the original sale price, as 100% - 25% = 75%

To find the sale price of the shirt, we simply need to find 75% of the original selling price of the shirt:

  75% of $16

= 0.75 × $16

= $12

Method 2

Using ratios of original price : sale price, where x is the sale price of the shirt:

pants → 20 : 15

shirt → 16 : x

Therefore, as the ratios are the same:

   20 : 15 = 16 : x

⇒ 20/15 = 16/x

⇒ 20x = 16 · 15

⇒ 20x = 240

⇒ x = 240 ÷ 20

⇒ x = 12

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