You found the prime factorization of the number 72.

Answers

Answer 1

[tex]72 = 2^{3} x 3^{2}[/tex]

(8 x 9 = 72)


Related Questions

What is 4 to the 10 power?

Answers

Answer

40

Step-by-step explanation:

Because this saying to the tenth power is representing that 4 timesing it self by 10 so if 40 is answer then do that because 4 x 10=40

4 x 1=4

4 x 2=8

4 x 3=12

4 x 4=16

4 x 5=20

4 x 6=24

4 x 7=28

4 x 8=32

4 x 9=36

4 x 10=40   See there you go have a great day hope this helps:)

The coffee shop is offering every 5th drink for 40% off. If my 9 friends and I each order a coffee that cost $4. 00 and we pay together, what will our total be?

Answers

$When you calculate the value of the first five you get $18.40 when you add the remaining total you get a final answer of $ 34.40

Cindy is baking a 2-layer cake. The top layer has a diameter of 8 inches and the bottom layer has a diameter of 10 inches. What is the difference in area between the top surfaces of the two cakes? Use 3. 14 for π

Answers

The difference in area between the top surfaces of the two cakes is 28.26 inches²

Area of a circlearea = πr²

where

r = radius

Therefore,

area of top layer = πr²

d = 2r

r = d / 2

r = 8 / 2

r = 4 inches

area of top layer = 3.14 × 4²

area of top layer = 3.14 × 16

area of top layer = 50.24 inches²

area of the bottom layer = πr²

r = 10 / 2 = 5 inches

area of the bottom layer = 3.14 × 5²

area of the bottom layer = 3.14 ×25

area of the bottom layer = 78.5 inches²

Difference in area between the top surfaces of the two cakes can be found as follows:

78.5 - 50.24 = 28.26 inches²

learn more on circle here: https://brainly.com/question/10264279

Which section of the function is constant?

A graph is shown. Segment A begins at the origin and continues upward. Segment B continues upward at a faster rate. Segment C is a horizontal line. Segment D continues upward
Group of answer choices

C

B

A

D

Answers

Answer:

Segment C

Step-by-step explanation:

constants have no slopes and are therefore straight, horizontal lines

Joel has a vintage comic book worth $360, According to a dealer, the value of this particular
comic book will increase by 5% each year, How much will the comic book be worth in 15
years?
If necessary, round your answer to the nearest cent,
Submit

Answers

Answer:

748.41                                                      

i just did this and i am right

How to solve (4x^2 + 20x + 6)/ (2x+8)

Answers

Answer:

2x2+10x+3/x+4

Step-by-step explanation:

4x2+20x+6 / 2x+8 = 4x2+20x+6/2x+8

Dan selected a random sample of 100 students from the 1,200 at his school to investigate preferences for making up school days lost due to emergency closings. The results are shown in the table.
Preference Number of Students
Extend the school year into the summer 58
Go to school on Saturdays in the spring 42
Dan incorrectly performed a large sample test of the difference in two proportions using 58/100 and 42/100 and calculated a p-value of 0.02. Consequently, he concluded that there was a significant difference in preference for the two options. Which of the following best describes his error in the analysis of these data?
A. No statistical test was necessary because 0.58 is clearly larger than 0.42.
B. The results of the test were invalid because less than 10% of the population was sampled.
C. Dan performed a two-tailed test and should have performed a one-tailed test.
D. A one-sample test for a proportion should have been performed because only one sample was used.
E. More options should have been included, and a chi-square test should have been performed.

Answers

Answer: Choice D

A one-sample test for a proportion should have been performed because only one sample was used.

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

Explanation:

As the problem states at the very top, "Dan selected a random sample" which is paraphrased to "Dan selected ONE random sample". That keyword "one" means Dan should have used a one-sample test for a proportion. Not a difference in proportions test. This may seem like a trick question, but it's not.

If Dan had 2 samples, then he would go for the difference in proportions of course.

two number are in the ratio 5:8 if if there sum is 130 find the numbers​

Answers

Answer:

50 and 80

Step-by-step explanation:

two numbers are in ratio 5;8 which  is 5x + 8x

sum = 130

5x  + 8x  = 130

13x = 130   ( divide both sides by 13)

x = 10

to find the two numbers we multiply by x

5x  = 5 x 10   = 50

8x  =  8  x 10  = 80

An SRS of ten brands of breakfast cereals is tested for the number of calories per serving. The following data result: 185, 190, 195, 200, 205, 205, 210, 210, 225, 230. Find a 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals.

Answers

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

From the sample and the significance level of 0.05, we have that the parameters are given by:

[tex]\overline{x} = 205.5, s = 14.2, n = 10, t = 2.2622[/tex]

Hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 205.5 - 2.2622\frac{14.2}{\sqrt{10}} = 195.3[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 205.5 + 2.2622\frac{14.2}{\sqrt{10}} = 215.7[/tex]

The 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

More can be learned about the t-distribution at https://brainly.com/question/16162795

PLS HURRY!
What is the lowest value of the range of the function
shown on the graph?
5
4
- od
3
0-2
2-
Ο Ο
1
O 3
-5 -4 -3 -2 -11
1 2 3 4
5
х
-2
-3
-4
+ >

Answers

Answer:

-2

Step-by-step explanation:

The range is calculated using value of 'y'.

Here, the range is...

[tex]( - 2 ,\infty )[/tex]

Therefore, the lowest value is -2.

help..................

Answers

Answer:

B

Step-by-step explanation:

Electrons are outstide the shell and hence the nucleas have a charge of protons and neutrons. That's why they say the nucleas of an atom is positive.

Answer:

B

Step-by-step explanation:

The population of bats in a large cave is 4800 and is growing exponentially at 16%
per year. Write a function to represent the population of bats after t years, where the
quarterly rate of change can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the percentage
rate of change per quarter, to the nearest hundredth of a percent.

Answers

Answer:

f(t)=4800(1.0378)^4t

3.78%

Step-by-step explanation:

f(t)=

f(t)=a(1+r)^t

f(t)=4800(1+0.16)^t

f(t)=4800(1.16)^t

The table shows some of Mr. Puhas's household expenses for the month of February. Mr. Puhas has 500 set aside for utilities. Use an equation to determine how much money he will have left after he pays for February's utilities​​

Answers

Money left = money saved - cost of utilities.


Money left = 500 - 319.45


Money left = 180.55


Find and fix the incorrect statement

Answers

Statement #3 is incorrect. The actual ratio is 1/15. The rest of the statements are true.

The probability that a student guesses the correct answer to a four-choice multiple choice question is ​P(correct) = 0.25 How many correct answers should a student expect to guess on a test with 58 four choice multiple choice​ questions?

Answers

Answer:

14.5

Step-by-step explanation:

pls brainliest

Lena starts a spelling test at 12:15 P.M. The test is 35 minutes long. After the spelling test, Lena has art class for 1 hour. What time does Lena's art class end?

Answers

Answer:

1:50 P.M

Step-by-step explanation:

12:15+35 = 12:50

1 hour = 60 minutes

60 + 12:50 = 1:50

You can help me with any one of these equations I would really appreciate it but also please provide step-by-step explanation thank you I will choose Brainly

Answers

[tex][Hello,BrainlyUser][/tex]

Answer:

[5] [tex]2x^2+xy+-3y^2[/tex]

[6] [tex]2x^3+-7x^2+-3x[/tex]

[7] [tex]4a+2b[/tex]

[8] [tex]6x+2y-5[/tex]

[9] [tex]x^2-3xy-10y+75[/tex]

Step-by-step explanation:

Let's start with [5]

[tex]3x^2-2xy-2x^2-(x^2-3xy+y^2)[/tex]

Distribute the Negative Sign:

[tex]=3x^2-2xy-2y^2-1(x^2-3xy+y^2)[/tex]

[tex]=3x^2+-2xy+-2y^2+-1x^2+-1(-3xy)+-1y^2[/tex]

[tex]=3x^2+-2xy+-2y^2+-x^2+3xy+-y^2[/tex]

Combine like term

[tex]=3x^2+-2xy+-2y^2+-x^2+3xy+-y^2[/tex]

[tex]=(3x^2+-1x^2)+(-2xy+3xy)+(-2y^2+-y^2)[/tex]

[tex]=2x^2+xy+-3y^2[/tex]

Answer = [tex]2x^2+xy+-3y^2[/tex]

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

[6] [tex]\left(2x^3-5x^2-3x\right)-2x^2[/tex]

Combine like terms

[tex]\left(2x^3-5x^2-3x\right)-2x^2[/tex]

[tex]=(2x^2)+(-5x^2+-2x^2)+(-3x)[/tex]

[tex]=2x^3+-7x^2+-3x[/tex]

Answer = [tex]2x^3+-7x^2+-3x[/tex]

-------------------------------------------------------------------------------------------------------------     [7]  [tex]4a-(3a-2b)+3a[/tex]

[tex]=4a+-3a+2b+3a[/tex]

Combine like terms:

[tex]=(4a+-3a+3a)+(2b)[/tex]

[tex]=4a+2b[/tex]

Answer = [tex]4a+2b[/tex]

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

[8]  [tex]\left[3x-\left[x-4x+2y\right)+4y\right]-5[/tex]

[tex]3x-(-3x-2y+4y)-5[/tex]

[tex]=3x-(-3x+2y)-5[/tex]

[tex]=3x+3x-2y-5[/tex]

[tex]=6x-2y-5[/tex]

Answer = [tex]6x-2y-5[/tex]

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

[9] [tex]x^2-3xy+5\left\{2+\left[y-3\left(y-6\right)-5\right]\right\}[/tex]

Combine likes terms

[tex]x^2-3xy-10y+75[/tex]

Answer = [tex]x^2-3xy-10y+75[/tex]

[CloudBreeze]

First try was incorrect Convert the following number to a percent. 9/ 7 If needed, round to the nearest tenth.​

Answers

Answer:

128.6

Step-by-step explanation:

9/7 = 1.28571428571

1.28571428571 x 100 = 128.571428571

rounded = 128.6

look on digit to the right of tenths place (5). Its 5 or higher, its 7, so round the 5 to 6

write a pythogorean triplet whose smallest number is 20?​

Answers

Answer:

20,21,29 or 20, 99 and 101.

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]20^{2} +21^{2} =29^{2}[/tex]

[tex]400+441=841[/tex]

OR:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]20^{2} + 99^{2} = 101^{2}[/tex]

[tex]400+9801=10201[/tex]

what precent is 50% of 150% of x?

Answers

Answer:

75% of x

Step-by-step explanation:

Answer:

75%x (or 0.75x)

Step-by-step explanation:

We can convert the percentages to decimal format and then multiply.

50%  = 0.50

150% = 1.50

"50% of 150% of x" can be written as:

(0.50)(1.50)x

= 0.75x

50% of 150% of x is 75%x

Which equation represents the function on the graph?

f(x)=cos12x

f(x)=sin12x

f(x)=cos2x

f(x)=sin2x

Answers

Answer:

f(x)=cos12x

Step-by-step explanation:

took the test

Help please the topic is about infinitely, no solution and one solution please help

Answers

Answer:

3(x + 1) - 2x - 7 = x - 4

Step-by-step explanation:

The equation has infinitely many solutions if LHS and RHS are same regardless the value of the variable.

Let's simplify the LHS and make sure it is same as RHS.

Let the missing numbers are a and b.

a(x + 1) - 2x - b = x - 4ax - 2x + a - b = x - 4(a - 2)x + (a - b) = x - 4

Find a and b:

a - 2 = 1 ⇒ a = 3a - b = - 4 ⇒ 3 - b = - 4 ⇒ b = 7

Write an equation to represent the total number of legs on h horses and c chickens if a farmer counts 186 legs between two types of animals.

Answers

Answer:

4h + 2c = 186 legs

Step-by-step explanation:

h is the number horses and c is the number of chickens.

We know that 1 horse = 4 legs.

And 1 chicjen = 2 legs

We can write these as:

1H = 4 legs

1C = 2 legs

We are told that a farmer counts 186 legs.  That must be represented by the equations:

4h + 2c = 186 legs

2. Evaluate the given function by using synthetic division:
f(x)= 24 + 3x3 + x2 + 2x – 3 at x = -2.

Answers

Answer:

53

Step-by-step explanation:

f(x)= 3x^3+x^2+2x-21

X=-2

2      3   1  2.    21

bring the 3 down

2x3=6

6+1=7

7x2=14

14+2=16

16x2=32

32+21=53

Therefore, you have a remainder of 53

Angle a and b are supplementary angles. If m a = (x – 40)0 and m b = (x + 20)0, find the value of x, m a and m b

Answers

Answer:

∠ a = 60° , ∠ b = 120°

Step-by-step explanation:

Supplementary angles sum to 180° then

x - 40 + x + 20 = 180 , that is

2x - 20 = 180 ( add 20 to both sides )

2x = 200 ( divide both sides by 2 )

x = 100

Then

∠ a = x - 40 = 100 - 40 = 60°

∠ b = x + 20 = 100 + 20 = 120°

Answer:

x=100   a=60    b=120

Step-by-step explanation:

Supplementary angles add 180 degrees

(x-40) + (x+20) = 180

2x-20 =180

2x =100

x = 100

100-40 = 60

100+20 = 120

                60+120 +180

The quotient of a number and -8 is -16 equation and solution

Answers

Answer:

x = 128

Step-by-step explanation:

x*(-8) = -16.     multiply both sides by -8 to get x by itself

x = 128

Work out m and c for the line: 2 x + 3 y + 1 = 0

Answers

Answer:

Step-by-step explanation:

Write in y = mx +c form

2x + 3y + 1 = 0

3y = -2x - 1

Divide the entire equation by 3

[tex]y =\dfrac{-2}{3}x-\dfrac{1}{3}[/tex]

[tex]m = \dfrac{-2}{3}\\\\\\c=\dfrac{-1}{3}[/tex]

A tourist exchanges US$1500 in St Lucia for Eastern Caribbean currency. Given that US$1.00 = EC$2.7169 and that the total bank charges amounted to EC$10.80, calculate the amount in EC currency that the tourist received from the transaction.

Answers

what is photo tha photo aunties

If the volume of a cube is 1331cm3 what is the lengh of it's side?

Pls help! I'm Stuck.

Answers

Answer:

11 cm

formulae:

volume of cube: a³  [ where a is side length ]

solve:

side³ = volume

a³ = 1331

a = ³√1331

a = 11

Answer:

11 cm

Step-by-step explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the side length )

given V = 1331 cm³ , then

s³ = 1331 ( take cube root of both sides )

s = [tex]\sqrt[3]{1331}[/tex] = 11

Please help! 20 points thanks :)

Answers

As u can see on the graph. You go up 12 and over 8. 12/8 simplified is 3/2. Therefore the correct answer is A

Answer:

[tex]\frac{3}{2}[/tex]

*View attached graph*

Step-by-step explanation:

Slope (m) formula: [tex]\frac{y_2-y_1}{x_2-x_1} =\frac{7-(-5)}{6-(-2)} =\frac{12}{8}=\frac{3}{2}[/tex]

y[tex]y=\frac{3}{2}x-2[/tex]

Hope this helps!

Other Questions
Using complete sentences post a detailed response to the following.Weve learned that all of the principles and elements of design are important, but if you had to choose one element of design and one principle of design that were the most important, which would you choose and why? Please explain your answer. AND DO NOT USE THIS PLEASE do not use this My favorite element is pointillism and my favorite principle is pattern.Pointillism- I like how the dots look on the paper and its mesmerizing to see what people can do with dotsPattern- I think that Mondala's is beautiful! Within a few steps, you can create a masterpiece. Factorise : 81 (a2)^2 Please help me with this, thanks guys What kind of public entertainmentand recreation did the RomanEmpire provide for its people? A taxi charges $4 plus $0. 20 per mile. You spend more than $30 for a taxi ride. What is the inequality? Multiplication or division?Wayne has a hot dog stand open all summer. On Wednesday, heused 2/3 a bag of hot dog buns. On Thursday, he used 4/5 as manyhot dog buns. How many bags of hot dog buns did Wayne use onThursday? What mass will 33.6 L of chlorine gas (Cl2) have at STP?35 g53 g71 g106 g the measure of an angle is 78 degrees. what is the measure of its supplementary angle? Why did the British sign the Treaty of Paris? What did Great Britain agree to do under the treaty? which is not a state in the Louisiana territory? What happens if you get caught lying in family court?. How are the sun, earth, and moon aligned when spring tides occur? quizzez. The temperature at sunrise is 35F. Each hour, the temperature rises 7F. Write an equation that models the temperature y, in degrees Fahrenheit, after x hours.What is the graph of the equation? Heyyy Everyone,Help me with this Exercise,PleaseeeeIm needing your answers now, please If you answers my questions very good and excalty,I will give you the brainliest 1. How do similes and metaphors help a poem make a point or create an effect? (Select all correct answers.) A. They prompt readers to think about objects or actions differently. B. They help readers imagine an object or scene more clearly.C. They use very precise language to create literal descriptions. D. They refer to details that appear earlier in the poem. In 3-5 Sentences reflect on the impact that Bill Russell and Jackie Robinson had on not only sports but society as well. Think about the Civil Rights Movement and segregation during their time period. Describe how our sports/society would look today without their influence along with the many others that paved the way. Which statement is true?Question 1 options:A cell that divides is called a parent cell and the two new cells are daughter cells.Two daughter cells combine to create a parent cell.A cell that divides is called a parent cell and the two new cells are a daughter cell and a son cell.One daughter cell and one son cell are produced from each parent cell. what is an example of bibliographic information that will help students find a source letter? 3x[-5(2x+5y+1)-7(-3y+8xy-7)]+9y(x-1)HELP PLEASE!! 50 POINTS Which line plot displays a data set with an outlier?