Write 24 as a product of primes.
Use index notation when giving your answer.​

Answers

Answer 1

Answer:

2^3 * 3

Step-by-step explanation:

Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23

To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.

This is much easier to do than it sounds like in this explanation.

Start with 24.

24/2 = 12

12/2 = 6

6/2 = 3    3 is not divisible by 2, so we move on to 3.

3/3 = 1    We got to 1, so we are done.

The prime factorization is the product of all the prime numbers we divided by which are in bold.

24 = 2 * 2 * 2 * 3

Now we index it:

24 = 2^3 * 3


Related Questions

please write in y=mx+b format

Answers

Answer:

y=2x-1

Step-by-step explanation:

Tommy has $350 of his graduation gift money saved at home in the amount is modeled by the function h(x)=350. He reads about a bank that has savings account that accrue interest according to the function s(x)=(1.04))^x-1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposit his $350 justify your reasoning

Answers

Answer:

Step-by-step explanation:

His functions are:

h(x)= $350

s(x)=(1.04))^x-1

To find total amount of money in Tommy's account using the functions above, we substitute the first function x= $350 in the second function

So, we can say that the new function represents the interest received by

Tommy with initial saving $350.

Function:

A function is a group of statements that together perform a task.

Given that Tommy got $350 as the gift which he saves.

So, the amount saved is given by the function is [tex]h(x)=350....(1)[/tex]

Also, the interest by the saving bank account is given by,

[tex]s(x)=(1.04)^{x-1}....(2)[/tex]

Comparing equations (1) and (2)  we get a new function as,

[tex]g(x)=350(1.04)^{x-1}[/tex]

The function gives the value [tex]h(x)=350[/tex] when [tex]x=0[/tex] and the amount is increasing by the interest.

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please help me asap​

Answers

Answer:

B.) is the answer bro I got the same test bro like just trust me and give me 5 start and like and give a heart

Vince’s Vans table is shown. Complete the process column in the table, then create a verbal description and an algebraic rule to represent the cost of renting from Vince’s Vans. Use these representations, along with the graph for Vince’s Vans that you created in question 4, to answer questions 6 and 7.

Answers

Answer:

kay

Step-by-step explanation:

Please Help me it’s question 8

Answers

Answer:

the answer is c

toatally unrealated:

if you find yourself stumbbled like this again in multiple chice questions, there is a 60% chance the answer is c

The answer is definitely c

What is the value for f(x) =0

Answers

The function can be graphed to demonstrate this further. On the graph where f(x)=0, the curve is just the x-axis, which always has the same y-value of 0.

How to find the domain of a function ?

Domaine:The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Given the function f(x)=0,

since this is a constant function (that is, for any value of x, f(x)=0, the limit of the function as x→a, where a is any real number, is equal to 0.

More specifically, as a constant function,f(x) maintains the same value for any x. f(1)=f(2)=f(π)=f(e)=f(−(1258567)/(44))=0. Further, as a constant function, f(x) is by definition continuous throughout its domain. Note, however, that if one arrives at a constant function via division or multiplication of non-constant functions (for example, (8x)/(x), there will still exist a discontinuity where the original denominator was0).

Graphing the function will further prove this point. On the graph f(x)=0, the curve is simply the x-axis, which maintains a constant y-value of 0 no matter the x-value.

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What is m∠PQR? please help

Answers

Answer:

127

Step-by-step explanation:

The angles add up to 180° since they are on a straight line. Find 3x - 5.

3x - 5 + x + 1 = 180

4x - 4 = 180

4x = 180 - 4

    = 176

x = 176 ÷ 4

x = 44

3x - 5 = 3(44) - 5

          = 132 - 5

          = 127

Answer:

Step-by-step explanation:

<PQR=3X-5

What is 12-93.

I know this but First To Answer Correctly Gets Brainliest

Answers

Answer:

81

Step-by-step explanation:

93-12=81

1. Miguel is taking a quiz that contains 5 questions.
Each question is worth 20 points, with no partial
credit. If x represents the number of questions
answered correctly and y represents the number
of points awarded, this function can be
represented by the equation y = 20x.
What is a reasonable domain for this function?
A. x ≤ 5
B. 0≤x≤5
C. {0, 1, 2, 3, 4, 5}
D. {0, 20, 40, 60, 80, 100}

Answers

Answer:

C. {0, 1, 2, 3, 4, 5}

Step-by-step explanation:

There are 6 possible outcomes: 0 points (0 questions correct), 20 points (1 question correct), 40 points (2 questions correct), 60 points (3 questions correct), 80 points (4 questions correct) and 100 points (5 questions correct). The number of points is equal to the number of questions answered times 20. The x value can only be equal to the possible number of questions answered correctly: 0, 1, 2, 3, 4, 5.

A is incorrect because it includes negative numbers and decimals. Decimal values aren't possible because no partial credit is given for the questions. Negative numbers are incorrect because you cannot answer negative questions.

B is incorrect because it includes fractions.

D is incorrect because it lists the y values (what 20x is equal to) instead of the x values.

A container began leaking water at 5:00 A.M. The table shows the linear relationship between the number of gallons remaining in a container and the number of hours since 5:00 A.M. Which function can be used to find y, the number of gallons remaining after x hours since 5:00 A.M.?

Answers

Answer: I need help on this one 2

Step-by-step explanation:

Answer:G

Step-by-step explanation:

Look at this equation. 48 = 12x. Which value of x makes the equation true?

Answers

Answer:

x= 4

Step-by-step explanation:

simple math

48/12 = x

x= 4

4, you already have x on a side by itself now you have to divide both sides by 12 to actually get x by itself, and 48 divided by 12 is 4

What is the equation in point-slope form of the line passing through (-1,3) and (1, 7)?
O a
y - 7 = 4(x - 1)
Ob
y-7 = 2(x - 1)
ос
y- 3 = 2(x - 1)
Od
y- 3 = 4(x + 1)

Answers

Answer:

y - 3 = 2(x+1)

Step-by-step explanation:

The equation of the line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line

Get the slope;

Given the points (-1,3) and (1, 7)

m = y2-y1/x2-x1

m = 7-3/1+1

m = 4/2

m = 2

Substitute the point m = 2 and the point (-1, 3) into the formula above as shown;

y - y0 = m(x-x0)

y - 3 = 2(x-(-1))

y - 3 = 2(x+1)

Hence the required equation is y - 3 = 2(x+1)

Solve for a.
1
4
-4=
7
29
a - 3
a =

Answers

Answer:

56

Step-by-step explanation:

Express the radical using the imaginary unit, iii. Express your answer in simplified form. \pm\sqrt{-38}=\pm

Answers

Simplified form of the given radical will be,

⇒ ± √-38 = ± i√38

What is imaginary unit?

The imaginary unit is use to find solutions of many equations that do not have real number solutions.

The radical is given is,

± √-38

Now, Simplify the given radical as,

We can rewrite the radical as;

± √-38 = ± √-1 x √38

          = ± i√38

( Since, √-1 = i )

Hence, Simplified form of the given radical will be,

± √-38 = ± i√38

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Verizon charges $76.00 for 500 minutes and Sprint charges $54.00 for 450 minutes. Who has the better deal? *

Answers

Answer:

i think it would be sprint cause it is lest money and the mintues is 450 but the other is just 50 more mintues and you have to pay 22 more dollor for verizion  so i pick sprint have a nice day

Step-by-step explanation:

the poster shows how many of its games the football team has won so far. express this information as a fraction, a percent and as a decimal

Answers

Answer:

12/15 is the fraction one

12% I think

12.0 I think

Step-by-step explanation:

help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

3 so D
Answer is 119

Hope this helps:)

HELP ASAPPPP THANK YOU

Answers

The answer is D, I believe:)

Will mark Brainliest just answer the following questions

Answers

Answer:

18

Step-by-step explanation:

Answer:

A. 8 , 3(4)-4= 8

B. -2 , 5-(-3)= -2

C. -18 , 5-4+3(-5)-4 = -18

You need to Find the angle x

Answers

Answer:

its 62 degrees

Step-by-step explanation:

the triangle is a isolosies triangle

Help please!!!!!!!?!

Answers

Answer:

i would go to c

Step-by-step explanation:

Find the value of x that will make A parallel to B
2x + 50
5x - 80
x = ?

Answers

Answer:

30

Step-by-step explanation:

If Line A is parallel to Line B, then 2x+50+5x-80 = 180. This is because 2x+50 is an alternate interior angle with the supplement of 5x-80, therefore the supplement of 5x-80 is also 2x+50. Supplementary angles add up to 180°.

Solve the Equation

2x + 50 + 5x - 80 = 180 --> Combine like terms

7x - 30 = 180 --> Add 30 to both sides

7x = 210 --> Divide both sides by 7

x = 30

Check the Solution

We can check our answer by plugging 30 in for x back into our original equation.

2(30) + 50 + 5(30) - 80 = 180

60 + 50 + 150 - 80 = 180

110 + 150 - 80 = 180

260 - 80 = 180

180 = 180

Therefore x = 30.

Explain why the two figures below are similar. Use complete sentences and provide evidence to support your explanation. (10 points) Figure ABCDE is shown. A is at negative 3, 1. B is at negative 1, 3. C is at 3, 3. D is at 2, 0. E is at negative 1, negative 1

Answers

Figure ABCDE is similar to figure FGHIJ and because corresponding sides have same ratio.

How to Identify Similar Triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary.

In figure ABCDE vertices A,B,C,D,E are given so we can find their sides by applying distance formula:

D=√((x2 - x1)² + (y2 - y1)²)

With the help of this formula we can find AB;

AB = √(-1 - (-3))² + (3 - 1)²)

AB = √((-1 + 3)² + (2)²)

AB = √((2)² + (2)²)

AB = √(4 + 4)

AB = √8

AB = (√2*2) * 2

AB = 2√2

Likewise, we can find the remaining sides as;

BC = 4, CD = √10, DE = √10 and EA = 2√2

FG = √2, GH = 2,HI = 1.58114, IJ = 1.58114 and JF = √2

When the two figures are similar then the ratios of their corresponding sides are equal.

Thus, we have that;

AB/FG = BC/GH = CD/HI = DE/IJ = EA/JF

Therefore, we conclude that figure ABCDE is similar to figure FGHIJ and because corresponding sides have same ratio.

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3 Lila planted a tree in her backyard. She made this graph to show the tree growth for over 5 years. Part A Complete the equation to correctly show how to find the slope for the function shown in the graph.

Answers

Answer: Part A : slope = 20/1 -8/1  12/4 =3  Part B: The y-intercept is 5

Step-by-step explanation: I just did this with my teacher..Hope this helps! ( The numbers in bold are the answers)

The slope of the graph is 3 and the y intercept is 5.

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept

Let y represent the height of the tree after x years.

The line passes through the point (0, 5) and (3, 14). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-5=\frac{14-5}{3-0} (x-0)\\\\y=3x+5[/tex]

Therefore the slope of the graph is 3 and the y intercept is 5.

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I need help

Which number has a 3 value that is 100 times greater than the value of the 3 in 20.342?

Answers

Answer:

36.25

Step-by-step explanation:

Answer:

36.25

Step-by-step explanation:

Find the missing value in the ratio table.
100 25
60 15
30 7.5
5

Answers

Answer:

1.25

Step-by-step explanation:

In montrel was -8 in new york it was 11 deggrees warmer, what was the tempreture in ny?

Answers

Answer:

3 degrees

Step-by-step explanation:

-8, -7 -6,-5,-4,-3,-2,-1,0, 1,2 3

If you count 11 spaces to the right on a number line, starting at -8, you will land at 3 degrees.

Answer: 3

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

Explanation:

Think of the +11 as +8+3

Draw a vertical number line. Start at -8 on that number line. Then move up 8 units to arrive at 0. Afterward move the remaining 3 units to get to 3 on the number line. We've moved up a total of 8+3 = 11 degrees.

In other words, starting at -8 and moving up 11 units will have us arrive at 3

This visually shows -8+11 = 3

The diagram is shown below.

Check out this similar question asked earlier

https://brainly.com/question/28646393

Select the correct answer.
Which expression represents a difference of squares?

A.
81 − 49y2
B.
t2 + 100
C.
4x2 − 16x
D.
25k − 64

Answers

Answer:

The answer is A I'm not 100 percent sure

Answer:

A.

81 − 49y2

Step-by-step explanation:

edmentum answer---

Pls help me it is a simple function

Answers

Answer:

blank 1 = 4

blank 2 = 1

Step-by-step explanation:

The slope is how much the y changes for each x value.

have a great day!!!

Can you some please help me with this ASAP!!!

Answers

Answer:

slope is 0

Step-by-step explanation:

to find slope y2 - y1 / x2 - x1

(6, -2) and (12, -2)

-2 - (-2) / 12 - 6

= -2 + 2/6

= 0/6

= 0

Answer:

slope is 0

Step-by-step explanation:

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