W
What is the prime factorization of 72? (1 point)
O 1x2x4x9
O 22x32
0 22x33
O 2x32

Answers

Answer 1

Answer:

2³×3²

Step-by-step explanation;

TO FIND A PRIME FACTORIZATION OF A NUMBER YOU FIRST NEED TO KNOW PRIME NUMBERS ARE;

Prime Numbers are numbers which which have only two factors the number itself and one

Examples of Prime Numbers are;

2,3,5,7,11,13,17,19,23,29,etc

To Find The Prime Factorization Of The Number 72 you'll need to follow this;

72=2×36(we have the number 36 because when it's multiplied by 2 the product is 72 and 36 is not a prime number so it has to be broken down but since 2 is a prime number you leave it as it is)

72=2×2×18(we have 2×18 because because it's give us the product of 36 when multiplied so now that we have a second prime number(2) we will have to continue to break down the number 18)

72=2×2×2×9( We again have two another 2 and 9 here because when multiplied by each other its product is 18 so as we can see 9 is not a prime number so we have to break it down but the 2 is a prime number so we let it be)

72=2×2×2×3×3( As we can see here, 3 and 3 is a prime number so nothing happens to it so we have broken the non-prime numbers down so now we have all the numbers as Prime Numbers)

So; 72=2×2×2×3×3

So we are going to count the twos and threes so as you can see we have three twos and we have two threes. Which makes our final answer;

2³×3²

So The Prime Factorization of 72 is; 2³×3²


Related Questions

I give Brainliest!!!
Part 1: Given triangle ABC and AC = BC, find a and the side lengths of the triangle.
a=
Side BC=
Side AC=
Part 2: Based off your knowledge of side lengths and triangles, what can you for sure classify the above triangle as
Triangle ABC:

Answers

Answer:

Part 1)

a=3; BC=10; AC=10

Part 2)

Isosceles Triangle

Step-by-step explanation:

Part 1)

We know that AC=BC.

Therefore, their lengths are equivalent.

So, we can write the following equation:

[tex]6a-8=4a-2[/tex]

Let’s solve for a. Subtract 4a from both sides:

[tex]2a-8=-2[/tex]

Add 8 to both sides:

[tex]2a=6[/tex]

Divide both sides by 2. Therefore, the value of a is:

[tex]a=3[/tex]

Now, we can substitute the value back to find AC and BC.

For AC, we have:

[tex]AC=6a-8\\[/tex]

Substitute 3 for a:

[tex]AC=6(3)-8=18-8=10[/tex]

So, the value of AC is 10.

For BC, we have:

[tex]BC=4a-2[/tex]

Substitute 3 for a:

[tex]BC=4(3)-2=12-2=10[/tex]

Therefore, both AC and BC measure 10 units, which was expected.

Part 2)

Remember that:

A triangle is scalene if all three of its sides are different. A triangle is isosceles if two of its sides are equal. And a triangle is equilateral when all of its sides are equal.

We know that AC is equal to BC. So, two sides are equal.

We don’t know anything about AB. AB could or could not be equal.

Therefore, the best answer is that Triangle ABC is an isosceles triangle.

Can somebody answer quick please!

Answers

Answer:27/2

Step-by-step explanation: The ratio stays the same. So 4/6 = 9/x. Solve that and get 27/2

Answer: 18 in.

Step-by-step explanation:

Based on the graph of the function y=g(x) shown below, answer the following questions.a) Evaluate each of the following.Illustrate with a point graph.
g(-2)= g(0)=
g(3)= g(7)=
(b) What values of x solve the equation g(x)=0? These are called the zeros of the function

(c)How many values of x solve the equation g(x)=2? How many can you illustrate your answer on the graph?

Answers

a. g(-2)=-3. g(0)=-3
g(3)=4. g(7)=0
b. -3,1,5,7
c. 4 values can solve it

The value of a function is its point on the graph that corresponds to the value of the input variable.

[tex]g(-2) = g(0) = -3[/tex]       [tex]g(3) = 4[/tex]       [tex]g(7) = 0[/tex].The values of x when g(x) = 0 are -3, 1, 5 and 74 values of x solve g(x) = 2

Given that:

[tex]y = g(x)[/tex]

(a) g(-2), g(0), g(3) and g(7)

From the graph, we have:

[tex]g(-2) = -3[/tex]

[tex]g(0) = -3[/tex]

[tex]g(3) = 4[/tex]

[tex]g(7) = 0[/tex]

So, we have:

[tex]g(-2) = g(0) = -3[/tex]

[tex]g(3) = 4[/tex]

[tex]g(7) = 0[/tex]

(b) The values of x when g(x) = 0

These are the points where the graph crosses the x-axis.

The graph crosses the x-axis at: x = -3, 1, 5 and 7

Hence, the values of x are: -3, 1, 5 and 7

(c) The count of values of x for g(x) = 2

This is the number of times the graph passes g(x) = 2

The graph passes g(x) = 2, 4 times.

Hence, 4 values of x solve g(x) = 2

Read more about graphs and functions at:

https://brainly.com/question/18806107

Cait went apple picking with 3 friends. The 4 of them picked 17.4 lbs of
apples and want to split it equally. How many lbs of apples do they each
get?

Answers

Answer:

4.35 pounds each gets

Step-by-step explanation:

if you divide 17.4 by 4 you get 4.35 pound per each of the 4 people get

Zoe plants a sunflower seed and
tracks its growth. The seedling
measures 3.71 inches after the
first month. If Zoe’s plant grows
3.71 inches each month for 12
months, how many inches tall will
it be at the end of one year?

Answers

Answer:

44.52 inches

Step-by-step explanation:

If it grows 3.71 inches per month for 12 months, you need to multiply 3.71 by 12, which gives you 44.52.

A 2-month membership to the gym costs $125. Jim would like to be a member for 8
months. What is the total amount he will pay for 8
months?

Answers

Answer:teps:

125 divided by 2 (to find the cost for one month) ans: $62.50

Then you multiply $62.50 times 8 to find the total cost for 8 months ans: $500.00

I hope this helpe

Step-by-step explanation:

Answer:

500 dollars for eight months

Find the slope of the line that contains (−9, 1) and (3, 6).

Answers

Answer:

5/12

Step-by-step explanation:

slope is  [tex]\frac{1y-2y}{1x-2x}[/tex]

so [tex]\frac{6 - 1}{3 - (-9)}[/tex] and that is 5/12

Please mark brainliest!!! Thanks.

Select all points that do not lie on this line.

Answers

its A and B bro. Hope it helps

Explain how to find the distance between two integers using the difference

Answers

When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them. For example -3 and -1. But distance can not be negative.

Answer:

When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them. For example -3 and -1. But distance can not be negative.

Step-by-step explanation:

edge 2021

Split 18 into the ratio 1:2

Answers

Answer:

6:12

Step-by-step explanation:

Add 1+2=3

18/3=6

6x1=6

6x2=12

Out it back in the ratio

6:12

Find the value of W please help due tomorrow

Answers

Answer:

59 degrees

Step-by-step explanation:

All the angles of a triangle (when combined) result in 180 degrees. This means that:

Angle 1 + angle 2 + angle 3 = 180 degrees.

We can see here that the shape here is a right triangle (noted by the square in the corner). This means that the angle set with the square is equal to 90. With this, we already have two of our angles! All we need is to set the equation using w, the angle you'll want to find:

31 + 90 + w = 180

w = 59

And there you are! Make sure to practice a few more problems like these to really get the hang of it. Good luck!

PLEASEEEEEE ANSWEERRRRRRRRR
Sally and Joan were able to dust the house in 3 hours together. It takes

Joan 10 hours to finish the same job alone. Without help, how long

would it take Sally to finish the same job ?

Answers

Answer:14hrs

Step-by-step explanation:joan=10hrs

                                           joan+sally=3hrs

representing joan and sally's time taken in fractions 1/10+-------=1/3

1/3-1/10=7/30

7/30 by 60min(in an hour)

=14hrs

1) If OQ and RT are parallel lines and OPS = 779 what is TSU?
A)
73°
B) 770
93
D)
103°

Answers

Correct Question:

If OQ and RT are parallel lines and QPS= 77°, what is TSU?

Answer:

77°

Step-by-step explanation:

Since OQ and RT are parallel to each other, and, <TSU and QPS are corresponding angles lying on the same side of the transversal as well as being positioned in the same corner, therefore:

<TSU is congruent to <QPS.

Thus:

m<TSU = m<QPS

m<TSU = 77° (substitution).

Mr. Gonzalez joined a gym that had an initial membership fee of $199 and a monthly cost of $35. How
many months would he have been a member if he paid a total of $829?

Answers

Answer:

sorry

Step-by-step explanation:

A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the chalkboard cost

Answers

Answer:

$49.12

Step-by-step explanation:

The Pie Arsquare Bakery sold 869 pies during the month of January. What was the mean number of pies sold per day? (Hint: how many days are in January) Round to the nearest tenths. ​

Answers

Answer:

28

Step-by-step explanation:

divide 869 by the number of days in January

Put them in order from least to greatest -1,-3,4,0,0.5,-1.5,2,-0.5,1,2

Answers

Answer:

-4,-3, -1,-1.5,-0.5, 0, 0.5,1,2,2,4

Good Luck!!!

Write an equation in slope- intercept for of each line

Answers

Y = -x is the answer.

At hoffman's bike rentals,it cost $35 to rent a bike for 7 hours .How many hours of bike does the customer get per dollar?please help

Answers

Answer:

your answer is 5 dollars per hour

Step-by-step explanation:

35/7 = 5

Answer

Answer is 5 dollars per hour

Step-by-step explanation:

35/7 = 5

PLEASE HELP ME ASAP THIS A MODULE TEST PLS PLS PLS
Bianca has a part-time job mowing lawns for her neighbors. The table below shows the amount of money Bianca earned for different numbers of hours of work:

Number of Hours Worked ║Money Earned (dollars)
Bianca's Earnings from Lawn Mowing

4 60
6 90
8 __
105

Part A: What are the missing numbers in the table? Show your work. (4 points)

Part B: Bianca also walks her neighbors' dogs from time to time. The ratio of the number of hours Bianca walks dogs to the money she earns in dollars is 1:8. How much money will Bianca earn by walking dogs for 4 hours, 6 hours, and 8 hours? (3 points)

Part C: How many more dollars does Bianca earn mowing lawns for 5 hours than walking dogs for 5 hours? Show your work. (3 points)

Answers

Answer:1:20, common sense would say 4 to 60, 8 to 90 so we can tell we are adding by 30s therefore number one is 20. 2: 32 for 4 hours, 48 for 6 hours, 64 for 8 hours, so if she works 5 hours mowing lawns she gets 75, and walking dogs for 5 hours would give her 40 so 75-40= 35, Here are all the answers, 1=20. 2=32,48,64. 3=35

Step-by-step explanation:look up

A water cooler holds 18 liters of sports drink. Approximately how many gallons is this?

Answers

approximately 5 gallons

The class had to identify the divided And divisor for a division problem 56÷7. Which number is the divided ? Which number is the divisor?

Answers

Answer:

56÷7=8

Step-by-step explanation:

answer is 8

idk how to do math ​

Answers

that's why we have the beautiful internet

A shopper buys cat food in bags of 3 lbs. Her cat eats 34 lb each week. How many weeks does one bag last?

Multiply your answer in the first question (the number of weeks) by 34.

Answers

11 weeks hope this helps

Fill in the blank to complete the equation below. 99 + 33 = 11(?+3)​

Answers

Answer:

? = 9

Step-by-step explanation:

you know 99 + 33 = 132 so you can substitute that: 132 = 11 (? + 3). im going to change ? into x for now: 132 = 11 (x + 3). then distribute the 11 so 132 = 11x + 33. then subtract 33 from both sides (99 = 11x) and divide both side by 11 (x = 9) and you get 9!

hope this helps!

The graph of y = f(x) is shown below. Find all values of x where f(x) = -5.

Picture of graph is there
40 points casue I need this answer

Answers

An x-intercept is a point where a parabola crosses the x-axis and is also known as a zero, root, or solution. Some quadratic functions cross the x-axis twice while others only cross the x-axis once, but this tutorial focuses on quadratic functions that never crosses the x-axis.

The best way to find out whether or not the parabola created by a quadratic formula crosses the x-axis is by graphing the quadratic function, but this is not always possible, so one might have to apply the quadratic formula to solve for x and find a real number where the resulting graph would cross that axis.

The quadratic function is a master class in applying the order of operations, and although the multistep process may seem tedious, it is the most consistent method of finding the x-intercepts. The easiest way to interpret quadratic functions is to break it down and simplify it into its parent function. This way, one can easily determine the values needed for the quadratic formula method of calculating x-intercepts. Remember that the quadratic formula states:


x = [-b +- √(b2 - 4ac)] / 2a
This can be read as x equals negative b plus or minus the square root of b squared minus four times ac over two a. ​The quadratic parent function, on the other hand, reads:


y = ax2 + bx + c
This formula can then be used in an example equation where we want to discover the x-intercept. Take, for instance, the quadratic function y = 2x2 + 40x + 202, and try to apply the quadratic parent function to solve for the x-intercepts. In order to properly solve this equation and simplify it down using the quadratic formula, you must first determine the values of a, b, and c in the formula you’re observing. Comparing it to the quadratic parent function, we can see that a is equal to 2, b is equal to 40, and c is equal to 202.

Next, we’ll need to plug this into the quadratic formula in order to simplify the equation and solve for x. These numbers in the quadratic formula would look something like this:


x = [-40 +- √(402 - 4(2)(202))] / 2(40) or x = (-40 +- √-16) / 80
In order to simplify this, we’ll need to realize a little something about mathematics and algebra first. In order to simplify the above equation, one would have to be able to solve for the square root of -16, which is an imaginary number that does not exist within the world of Algebra. Since the square root of -16 is not a real number and all x-intercepts are by definition real numbers, we can determine that this particular function does not have a real x-intercept.

To check this, plug it into a graphing calculator and witness how the parabola curves upwards and intersects with the y-axis, but does not intercept with the x-axis as it exists above the axis entirely.

The answer to the question “what are the x-intercepts of y = 2x2 + 40x + 202?” can either be phrased as “no real solutions” or “no x-intercepts,” because in the case of Algebra, both are true statements.

Evaluate.

33+1⋅9+12

please help!

Answers

54 is ur answer :)))))))
Your answer is 46.9

plz mark brainliest

Please help, Fake answers = report

Answers

Answer:  3400 feet

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

Explanation:

Let

A = (-5, -3)B = (-5, 5)C = (4, 5)D = (4, -3)

be the labels for buildings 1 through 4 in that order.

You could use the distance formula to calculate the distance between each adjacent point, and then add up those values.

A quicker way is to plot all four points on the same xy grid system. Then simply count the spaces between each point to find that

AB = 8BC = 9CD = 8DA = 9

See below for the diagram.

Essentially we have rectangle ABCD with base 9 and height 8

The perimeter of this rectangle is 8+9+8+9 = 34

The problem tells us that 1 unit on the grid represents 100 feet. Since the perimeter was 34, this scales up to 34*100 = 3400 feet that the courier traveled.

This is a little over half a mile since 1 mile = 5280 ft and 3400 ft = 3400/5280 = 0.64 miles approximately.

Write the slope intercept form of the equation of each line given the slope and y-intercept. Slope = 0, y-intercept = 5

Answers

Answer:

0+5=5

Step-by-step explanation: If u add nothing then it stays like that

Answer:

5

Explanation:

I'm a goat so I know everything

In the diagram, Find the value of y

Answers

Answer:

y = 42

Step-by-step explanation:

we can start by getting teh degree of x

62 + 65 = 127

180 - 127 = 53

x = 53

x - y = 11

we know that 53 is x

53 - y = 11

y = 42

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