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

pls help me solve this

Answers

Answer:

x=10

Step-by-step explanation:

Because BC is a mid segment

Answer:

10

Step-by-step explanation:

These are similar triangles, which means that the ratio between 16 to 8 will equal x+10 to x. This could be written out as 16/8 = x+10/x. 16/8 is 2, which means that x+10 is twice the amount of x. We can write this out as 2x = x+10. We can then simplify this and get x = 10

PLS HELPPPPPPPPPPP Determine the approximate value of X round to the nearest hundredth

Answers

Answer:

Step-by-step explanation:

We can immediately elimate two answers since x cannot be larger than the hypotenuse, which is 9. You can cosine = adjaent/hypotenuse, which gives the equation cos(54) = x/9, which simplifies to x = 9*cos(54). When you plug this into a calculator, you should get 5.29. Keep in mind that 54 is measured in degrees and not radians because.

Answer:

D.) x = 5.29

Step-by-step explanation:

first find the last angle measure 180-90-54=36

use law of sines to find x

sin90/9=sin36/x

(sin90)(x) = (sin36)(9)

(sin90)(x) = 5.29

x = 5.29

CAN SOMEONE ASAP HELP ME PLEASE

Answers

Answer:

Step-by-step explanation:

6+11=17/2*8=136/2

68.

If the height of Mount Everest is about 8.8 time 10 to the third power meters and the height of the Empire State Building is about 3.8 times 10 to the second power meters which of these statements is a true

Answers

Answer: C. Mount Everest is about 23 times as tall as the Empire State Building

Step-by-step explanation:

The options are:

A.There is no way to compare these heights

B.Mount Everest is about 40 times as tall as the Empire State Building

C.Mount Everest is about 23 times as tall as the Empire State Building

D.The Empire State Building is about 23 times as tall as Mount Everest

Mount Everest = 8.8×10^3 meters = 8800 meters

Empire State Building = 3.8×10^2 = 380 meters

Mount Everest is (8800 / 23) = 33 times as tall as the Empire State Building. Therefore, the correct option is C.

Answer:

Mount Everest is about 23 times as tall as the Empire State Building. Hope that helps!

Please help! I’ll mark brainlist and 5 stars!

(You have to see which one is right for the sentence provided, and which ones are false out of A-D)

A. The equation of the line is y = 1/2x

B. Sasha can make 60 gift bags in 2 hours.

C. The constant of proportionality is l = 1/2

D. Sasha can make 2 bags per minute.

Answers

Answer:

D

Step-by-step explanation:

The reason D is false is because it states that Sasha can make 2 bags per minute while she cant make 2 bags per minute. She can make half a bag per minute. D is wrong 100%

Answer:

Step-by-step explanation:

Distance covered = speed × time.

Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.

This means distance covered while running would be

3.8 × 1/2 = 1.9 meters

Then she walks at a constant rate of 1.5 meters per second for 1/2 hour. This means distance covered while walking would be

1.5 × 1/2 = 0.75 meters

Total distance that Sasha covered while running and walking in 60 minutes would be

1.9 + 0.75 = 2.65 meters

Step-by-step explanation:

-3/4-5/8=
This is a simple math problem
But it’s to hard for me
And I really need help
Not from someone who doesn’t know the answer

Answers

-11/8 because you turn the first one into -6/8 and then subtract to get -11/8

pls help :( i’ll give brainliest

Answers

Answer:

x=12; Converse of conrresponding angles postulate

Step-by-step explanation:

On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:

8x-17=5x+19

Solve

X=12

The converse used was the Converse of Corresponding Angles Postulate

The expression ( x − 12 ) is a factor of x 2 + p x − 48 . What is the value of p ?

Answers

Answer:

p = -8

Step-by-step explanation:

Since, (x - 12) is a factor, then;

x - 12 = 0

x = 12

substitute the value of x in the equation

[tex]x^{2}[/tex] + px - 48 = 0

[tex](12)^{2}[/tex]  + 12p - 48 = 0

144 + 12p -48

12p = -144 + 48

12p = -96

p = -8

So that,

[tex]x^{2}[/tex] +-8x - 48 = 0

[tex]x^{2}[/tex] -12x + 4X- 48 = 0

([tex]x^{2}[/tex] -12x) + (4X- 48)

X(X - 12) + 4(X - 12)

(X - 12) (X + 4)

Therefore, p = -8 and (X - 12) (X + 4) are factors of the equation.

An 8-column table with 14 rows titled Table 1, Employment by major industry sector, 1996, 2006, and projected 2016. Column 1 is labeled Industry sector with entries services-providing, utilities, wholesale trade, retail trade, transportation and warehousing, information, financial activities, professional and business services, educational services, health care and social assistance, leisure and hospitality, other services, federal government, state and local government. Column 2 is thousands of jobs in 1996 with entries 97,042.9, 639.5, 5,522.1, 14,142.6, 3,935.5, 2,940, 6,968.6, 13,461.8, 2,077.5, 11,604.8, 10,776.5, 5,434.9, 2,877, 16,662.1. Column 3 is labeled thousands of jobs in 2006 with entries 114,407.3, 548.5, 5,897.7, 15,319.4, 4,465.8, 3,054.9, 8,363.2, 17,551.6, 2,918.4, 14,919.8, 13,143.4, 6,234.6, 2,728.3, 19,261.7. Column 4 is labeled thousands of jobs in 2016 with entries 130,189.7, 517.6, 6,326.2, 16,006.4, 4,962, 3,266.7, 9,570.1, 21,643.7, 3,527.4, 18,954.1, 15,016.7, 7,077.2, 2,625.7, 20,696.1. Column 5 is labeled Numeric change 1996 to 2006 with entries 17,354.4, negative 91, 375.6, 1,176.8, 530.3, 114.9, 1,394.6, 4,089.8, 840.9, 3,315, 2,366.9, 799.7, negative 148.7, 2,599.6. Column 6 is labeled numeric change 2006 to 2016 with entries 15,782.4, negative 30.9, 428.5, 687, 496.2, 211.8, 1,206.9, 4,092.1, 609, 4,034.3, 1,873.3, 842.6, negative 102.6, 1,434.4. Column 7 is labeled Average annual rate of change, 1996 to 2006 with entries 1.7, negative 1.5, .7, .8, 1.3, .4, 1.8, 2.7, 3.5, 2, 1.4, negative .5, 1.5. Column 8 is labeled average annual rate of change, 2006 to 2016 with entries 1.3, negative .6, .7, .4, 1.1, .7, 1.4, 2.1, 1.9, 2.4, 1.3, 1.3, negative .4, .7. Based on the above chart, which industry’s average annual rate of change is projected to decrease the most in the 2006-2016 period as compared to its average annual rate of change during 1996-2006? a. Utilities b. Educational services c. Federal government d. State and local government

Answers

Answer:

It's not A or D it has to be B or C.

Step-by-step explanation: i just took the quiz on edge and it wasn't  A or D.

Answer:

Its B

Step-by-step explanation:

Write an equation of the line that passes through (-4,3) and (0,6
)

Answers

Answer:

y=¾+8

Step-by-step explanation:

Using the approach y-y1=m(x-x1),where m is the slope defined by ∆y/∆x

So ∆y/∆x=y2-y1/x2-x1

m=6-3/0-(-4)

m=¾

Now plug in m=¾ into the approach and simplify

y-3=¾(x-(-4))

y-3=¾(x+4) Multiply through by 4

4y-12=3x+12 Transpose it for y

4y=3x+12+12

4y=3x+24 divide through by 4

y=¾+8


What is an equation of the line that passes through the point (2,-5) and is parallel
to the line 6x +y = 6?

Answers

Answer:

y = -6x + 7

Step-by-step explanation:

In this question, we need to find the equation of a line with the given information.

We know that the line passes through (2, -5).

We also know that the line is parallel to the line 6x + y = 6, which means that it has to have the same slope.

To make it simpler to understand, we can change the equation into slope format:

y = -6x + 6

This means that our new line should have a slope of -6.

With the information above, we can plug in our new values to get the y-intercept of our equations, since we don't have that information.

Plug in your slope and coordinates to the y = mx + b equation and solve for b:

-5 = -6(2) + b

-5 = -12 + b

Add 12 to both sides.

7 = b

Our y-intercept would be b.

Now, we can plug in all our information to get our new equation:

y = -6x + 7

Your answer would be y = -6x + 7

Suri saved $50 of her paycheck the first week she worked and $25 of her paycheck each week after the first week.
How many weeks did it take Suri to save a total of $1,000?

Answers

Answer: 40 weeks

Step-by-step explanation:

1000/x=25

1000 divided by 25=40

x=40 weeks

Victoria created the scatterplot below based on the data in the table for the ages and heights of some teachers in her school. Teacher Age vs. Height Teacher Age Height (in.) 1 36 62 2 28 70 3 50 60 4 44 72 5 58 68 6 24 65 A graph titled Teacher Age versus height has age on the x-axis and height (inches) on the y-axis. Points are at (22, 66), (28, 70), (35, 62), (42, 72), (60, 50) and (59, 69). She wants to see if a teacher’s height depends on his or her age. What did she do wrong when she created the scatterplot? She mixed up the independent and dependent variables. She labeled the x-axis of the scatterplot “Age” when she should have labeled it “Teacher.” She plotted the point (36, 62) when she shouldn’t have. She mixed up the x- and y-coordinates of the point representing teacher 3.

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the test and got 100%.

pls helppp
math work
bleh

Answers

Answer:

m = -10

Step-by-step explanation:

>:)

Answer:

m= -10

Step-by-step explanation:

2< -7 - (-10)

2< -7 + 10

2< 3

for geometry help thanks <33

Answers

Answer:

12

Step-by-step explanation:

How is speed similar to solving for time?

Answers

To get the speed of something you would have to sole for s=d/t (speed equals distance over time)

Help please 25 Points + Brainliest
x=6 y=4 solve 3x^2y+4x/y

Answers

Answer:

114. There is something wrong with the options im 100% sure its 114 talk to your teacher.

The solution is just to substitute

help. answer is not D

Answers

Answer:

It would be C or B

Step-by-step explanation:

can't be A because A is 0 and there is no way you could be able to draw 0 lines so it would most likely be C

4x^3(5x) = what,
will mark brainliest

Answers

Answer:

the answer is 20x^4

Step-by-step explanation:

too long to explain, simple answewr

Which statement is true?


1
3
(
n
+
3
)
=
1
3
n
+
3

1 third times open paren n plus 3 close paren is equal to 1 third n plus 3

1
3
(
n
+
3
)
=
1
3
n
+
1

1 third times open paren n plus 3 close paren is equal to 1 third n plus 1

1
3
(
n
+
3
)
=
1
3
n
+
3
1
3

1 third times open paren n plus 3 close paren is equal to 1 third n plus 3 and 1 third

1
3
(
n
+
3
)
=
1
3
n
+
4
3

Answers

Answer:

the answer is they are the same

Answer:

yes

Step-by-step explanation:

explanation: yes

me: yes

you: yes

others: yes

john cena: no :)

confusion confusion

confusion confusion

Find the unit rate. Round to the nearest hundredth, If necessary.
$290 for 12ft

Answers

Answer:

24.17

Step-by-step explanation:

Answer:

$24.17 per feet

Step-by-step explanation:

290/12=24.1666...

24.16666 rounds to 24.17

I’ll love you forever if you help me with this ASAP PLEASE

Answers

Answer:

y = 4

or (0, 4)

Step-by-step explanation:

intersecting the y-axis is basically when x is equal to 0.

1.5(0) +4.5y = 18

y = 4

So your y-intersect is (0, 4) and thats when it intersects the y-axis.

y= 4 Hope it helps! <3

In which quadrant is point C located

Answers

Answer:

Quadrant 4

Step-by-step explanation:

Use the sketch tool to indicate what Edwin is describing as the parabola's "turning point."

Answers

Answer:

The sketch tool to indicate what Edwin is describing as the parabola's "turning point'' is described below in details.

Step-by-step explanation:

We can see in graph that it intersect X axis and it is open upward it means turning point is below X axis, we can find turning point by find maximum value of Y If open downward and minimum value, if open upward here we can find that minimum point is (3, -5). also you can draw axis of symmetry parabola and finds its intersection with turning point can also be named vertex of parabola.

Write an equation to represent the table. (1 point)

Boxes of Candy
5
7
9
Pieces of Candy
80
112
144

Answers

9514 1404 393

Answer:

  pieces of candy = 16 × boxes of candy

Step-by-step explanation:

Each "pieces" number is 16 times the corresponding "boxes" number, so we can write ...

  pieces of candy = 16 × boxes of candy

__

If you like, you can assign variables. Let x = boxes of candy, and y = pieces of candy. Then you have ...

  y = 16x

plz help it’s the pythagorean theorem

Answers

36 bc IK jansunavaihabsuz

Nathan has a 16 ounce energy drink. He drinks 9 ounces. Enter the percentage of ounces Nathan has left of his energy drink. Round your answer to the nearest hundredth

Answers

Answer:

56%

Step-by-step explanation:

Let me know if you need an explanation! Hope this helped :)

Answer:

43.75%

Step-by-step explanation:

step 1

16-9=7

7ounce remains

step2

7 of 16 ounce remains

convert into percentge

7/16×100=43.75%

Find the 52nd term of the arithmetic sequence-8, -12, -16,...

Answers

Answer:

-212

Step-by-step explanation:

This question seems to be incrementing by steps of -4, starting at -8.  To get the 52'nd term, we can simply start at the first term and add that -4 51 more times.

Assuming that negative eight is the first term then, we get:

-8 - 4 * 51

= -8 - 204

= -212

The 52nd term of the sequence will be -212.

What is a sequence?

A sequence of events or things is a number of events or things that come one after another in a particular order.

Given a sequence, -8, -12, -16,...

nth term of a sequence is given by

an = a + (n-1)*d

a(-212) = -8 + (52-1)*-4

a(-212) = -8-204

a(-212) = -212

Hence, The 52nd term of the sequence will be -212.

For more references on sequences, click;

https://brainly.com/question/21961097

#SPJ5

Find the original ordered pairs.

Answers

You se I’m so dum I can’t do this good lick

Question 24 (1 point)
Which of the following is NOT a Congruence Postulate/Theorem
SSS
4
АА
SAS
ASA

Answers

AA is not a congruence Postulate/ Theorem
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