Which of the following represents the prime factorization of 72?

Answers

Answer 1

Answer: If you would like to write the prime factorization of 72, you can do this using the following steps:

72 / 2 = 36
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1

72 = 2 * 2 * 2 * 3 * 3 = 2^3 * 3^2

The correct result would be 2 * 2 * 2 * 3 * 3.

Answer 2

Answer:

2^3 3^2

Step-by-step explanation:

Related Questions

What's the length of side b in the figure below? I posted a picture so you can view the actual problem. Please help.
A science class planted a tree in the school courtyard that was 6 inches tall. It is growing 4 inches eachweek. Write a function rule for the height, h, of the tree based on the weeks, w, since it was planted. (1 point) h = 6w + 4 h = 4w + 6 h = 4w h = 4w – 6
Solve the inequality. |3x + 6| < 12A. –6 > x > 2 B. –2 < x < 2 C. –6 < x < 2 D. –21 < x < 3
Anna and Bill share a 16-ounce box of cereal. By the end of the week, Anna has eaten 58of the box, and Bill has eaten 14of the box of cereal. How many ounces are left in the box?
To make curtains for a living room window for a customer, you will need three pieces of fabric in the following lengths: 3 feet, 3 feet, and 5 feet. What is the total length of fabric you will need? A. 8

Find the mean, median, and interquartile for the data set below. Round your answer to the nearest tenth. 27,16,8,5,19,14,22,31,13,5,23,16,8

Answers

Answer:

Hence,

Mean=15.9

Median=16

Interquartile=14.5

Step-by-step explanation:

On arranging our data in the increasing order we get the data set as:

5 5 8 8 13 14 16 16 19 22 23 27 31

Now we find the mean as:

$Mean=(5+5+8+8+13+14+16+16+19+22+23+27+31)/(13)\n\nMean=(207)/(13)\n\nMean=15.92$

Now, we know that the median is the central tendency of the data and lie in the middle of the data.

Hence, by looking at the data we see that the middle value of the data is 16.

Hence, Median=16.

Now, the lower set of data is:

5 5 8 8 13 14

Now, the lower quartile is calculated as:

The middle value of the lower set of data is:

8 8

Hence, the lower quartile $]Q_1$ is middle of 8,8.

i.e. $(8+8)/(2)=8$

similarly the upper set of data is:

16 19 22 23 27 31.

Similarly the upper quartile is calculated as:

$Q_3=(22+23)/(2)=22.5$

Hence, interquartile range (IQR) is calculated as:

$Q_3-Q_1=22.5-8=14.5$

Hence,

Mean=15.9

Median=16

Interquartile=14.5

The mean is 15.92, the median is 16, and the interquartile range is 14.5

1. The pump used to fill the water tank on a fire truck takes 40 minutes to fill the tank. If the pump sending water to the hose is on, it takes 60 minutes to fill the tank. If the pump filling the water tank is off, how long does the pump sending water to the hose take to empty the tank?A. 120 minutes
B. 60 minutes
C. 30 minutes
D. 24 minutes

2. Annmarie can plow a field in 240 minutes. Gladys can plow a field 80 minutes faster. If they work together, how many minutes does it take them to plow the field?
A. 96 minutes
B. 160 minutes
C. 400 minutes
D. 480 minutes

3.Brody can fill a bowl with candy in 3 minutes. While Brody fills the bowl, Hudson takes the candy out of the bowl. With Hudson taking candy out of the bowl, it takes 5 minutes for Brody to fill the bowl.
Which of the following can be used to determine the amount of time it takes for Hudson to empty the bowl if Perry does not add candy?
A. 1 over 3 minus 1 over x equals 1 over 5
B. 1 over 3 minus 1 over 5 equals 1 over x
C. 1 over 5 minus 1 over x equals 1 over 3
D. 1 over 3 minus 1 over x equals x over 5

4. Leanne can clean a fish tank in 30 minutes. Karl can clean a fish tank in 20 minutes. If they work together, how many minutes does it take them to clean a fish tank?
A. 6 minutes
B.10 minutes
C. 12 minutes
D. 50 minutes

5.Genna can build a cabinet in 4 hours. Claude can build a cabinet in only 3 hours.

Which of the following can be used to determine the amount of time it would take for Genna and Claude to build a cabinet together?

A. 1 over 4 plus 1 over x equals 1 over 3
B. 1 over 4 plus 1 over 3 equals 1 over x
C. 1 over x plus 1 over 3 equals 1 over 4
D. 1 over 3 plus 1 over 4 equals x over 7

Answers

So the possible answer of the following questions are the following and i hope you would be satisfied with my answer and feel free to ask for more if you have question and further clarification:
#1.A. 120 minutes
#2.A. 96 minutes
#3.A. 1 over 3 minus 1 over x equals 1 over 5
#4.C. 12 minutes
#5.B. 1 over 4 plus 1 over 3 equals 1 over x

Answer:

1) option: A (120 minutes)

2) option: A(96 minutes)

3) option: A

4) option: C

5) option: B

Step-by-step explanation:

Ques 1:

Let the total work be '240'

filling pipe empty pipe filling+empty pipe

Time 40 min 60 min x

Efficiency 240/40=6 240/60= -4 6-4=2

The efficiency of empty pipe is negative as it lead to more time in filling.

Hence the time taken by both the pipe will be $(240)/(2)$ =120 minutes.

Hence, option A is correct.

Ques 2:

Let the total work be '960'

Annmarie Gladys Annmarie+Gladys

Time 240 min 160 min x

Efficiency 960/240=4 960/160=6 6+4=10

Hence, the time taken if they work together is: $(960)/(10)=96 minutes$

Hence, option A is correct.

Ques 3:

Let the total work be '1'

Brody Hudson Brody+Hudson

Time 3 min x min 5 min

Efficiency 1/3 -1/x 1/5

the efficiency of Hudson is negative as he is taking out the candies.

since, efficiency of Brody+efficiency of hudson= efficiency of both

that means $(1)/(3)-(1)/(x)=(1)/(5)$

Hence, option A is correct.

Ques 4:

Let the total work be '60'.

Leanne Karl Leanne+Karl

Time 30 min 20 min x

Efficiency 2 3 5

Hence, the time taken by both of them is: $(60)/(5)=12 \text{minutes}$

Hence, option C is correct.

Ques 5:

Let the total work be '1'

Genna Claude Genna+Claude

Time 4 hrs 3 hrs x hrs

Efficiency 1/4 1/3 1/x

Since, efficiency of Genna+Efficiency of Claude=Efficiency of both

that means $(1)/(4)+(1)/(3)=(1)/(x)$

Hence, option B is correct.

2. Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?

Answers

The true statement about the juan and lisa is Juan made a higher rate of pay than Lisa.

Juan made a lower rate of pay because he made less money.

This statement is false. Juan and Lisa made a similar rate of pay per hour ($14.80 and $14.00 respectively).

Lisa made a better rate of pay because she made more money.

This statement is false. The total earnings do not determine the rate of pay; the hourly rate does.

Lisa said she made a better rate of pay because her rate was $14 an hour.

This statement is false. Lisa's actual rate was $14.00 per hour, not $14.00 as stated.

Juan said he made a better rate of pay because he was paid $14.80 an hour.

This statement is true. Juan's hourly rate was $14.80, which is higher than Lisa's rate of $14.00 per hour.

To calculate the rate of pay, we divide the money earned by the hours worked.

Juan's rate of pay is $37.00 / 2.5 hours = $14.80 per hour.

Lisa's rate of pay is $42.00 / 3 hours = $14.00 per hour.

Therefore, Juan made a higher rate of pay than Lisa.

Answer: Juan said he made a better rate of pay because he was paid $14.80 an hour.

For such more question on rate

brainly.com/question/119866

#SPJ3

The following question may be like this:

Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?

Juan made a lower rate of pay because he made less money.

Lisa made a better rate of pay because she made more money.

Lisa said she made a better rate of pay because her rate was $14 an hour.

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Answer:

2. Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?

Lisa said she made a better rate of pay because her rate was $14 an hour.

Answer: Juan said he made a better rate of pay because he was paid $14.80 an hour.

Juan made a lower rate of pay because he made less money.

Lisa made a better rate of pay because she made more money.

The general form of the equation of a circle is Ax2 By2 Cx Dy E = 0, where A = B 0. If the circle has a radius of 3 units and the center at (0, 4), which set of values of A, B, C, D, and E correspond to the circle?

Answers

The other form of circle equation is (x-a)2 + (y-b)2 = r2. a and b is the coordinate of the center and r is radius. So the equation is x2+(y-4)2=9. Change it to the general form is x2+y2-8y+7=0. So A=1, B=1, C=0, D=-8 and E=7.

Answer:

PLATO SAMPLE ANSWER:

If the center of the circle is to the right of the y-axis, C is negative and its absolute value increases as the center moves to the right. If the center is to the left of the y-axis, C is positive and its value decreases as the center moves to the right. D does not change when the center moves horizontally.

If the center of the circle is above the x-axis, D is negative and its absolute value increases as the center moves up. If the center is below the y-axis, D is positive and its value decreases as the center moves up. C does not change when the center moves vertically.

The values of C and D are not affected when the radius changes, as long as the center stays the same.

A parabola and its focus are shown on the graph. the vertex of the parabola is at (0,0). what is the equation of the directrix of the parabola?A) Y=3
B) Y= -3
C) X= 3
D) X= -3

Answers

Answer:

$\boxed{\boxed{x=-3}}$

Step-by-step explanation:

Relation between focus, vertex and directrix-

The vertex of the parabola is at equal distance between focus and the directrix. As any point on the parabola is equidistant from both focus and directrix.

And the directrix is always perpendicular to axis of symmetry and does not touch the parabola.

From the graph, the focus is at (3, 0) and axis of symmetry is x axis or y=0 line.

So the directrix will be horizontal and on the left of the parabola.

Hence, the equation of directrix of the given parabola will be x= -3

The correct answer is D X=-3, since the directrix is always the opposite distance from the vertex as the focus is.

If I make $7.25 a hour and I work for three days how much money is that every two weeks

Answers

There are a couple of things you didn't mention.
In order to come up with an answer to the question,
I have to assume reasonable numbers for them, and
then answer the question that I have invented.

Assumption #1: Each day that you work, you work for 8 hours.

Assumption #2: You work for three days each week.

If those assumptions are true, then you earn

($7.25 / hour) x (8 hours/day) x (3 days/week) x (2 weeks) =

($7.25 x 8 x 3 x 2) = $348 before taxes and other deductions.

I am pretty sure it would be $43.50 every two weeks because $7.25 x 3 is 21.75 and then for two weeks add 21.75 +21.75

Other Questions

Solve each quadratic equation. Show your work.14. (2x – 1)(x + 7) = 0

PLEASE ANSWER ASAP! AN EXPLANATION IS A MUST REQUIREMENT IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Which of the following statements shows the distributive property?5 + (4 – 2) = 20 – 105(4 – 2) = 20 – 105 + (4 – 2) = 9 + 35(4 – 2) = 9 – 7

Factor by using the perfect-square trinomial formula. 100x^2+20x+1