What is the correct prime factorization of 24

Answers

Answer 1

2^3 * 3^1

Go step by step. 24 = 2 x 12. 12 = 2 x 6. 6 = 2 x 3. We can't factor any more.

Therefore, we have 12 = 2 x 6, and since 6 = 2 x 3, we get 12 = 2 x 2 x 3.

Then 24 = 2 x 12, and 12 = 2 x 2 x 3, so 24 = 2 x 2 x 2 x 3.

There are 3 2's and 1 3's, so it's 2^3 * 3^1.

Hope that helped,

-sirswagger21

Answer 2

Answer:

24=2*12=2*6=2*3

Step-by-step explanation:

I could not draw the tree diagram

to do it you take a prime number it is divisible by and a composite number it is divisible by and you prime factorise the composite number and repeat until you get prime numbers


Related Questions

can someone please help me with this

Answers

f(x)=2x^3-x^2+5 / x-1

f(3)=2(3)^3-3^2+5 / 3-1

f(3)=54-9+5 / 2

f(3)=50 / 2

f(3)=25

Which polynomial has factors of 4x – 7 and x + 4?

3x2 + x – 3
4x2 + 9x – 28
3x2 – 7x – 3
4x2 – 23x – 28

Answers

Answer:

B. 4x2 + 9x – 28

Step-by-step explanation:

Multiply out the factors and see what polynomial you end up with.

(4x – 7)(x + 4) = 4x^2 + 16x - 7x - 28 = 4x^2 + 9x - 28

The polynomial with factors of 4x – 7 and x + 4 is 4x² + 9x - 28, Option B is correct.

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

To determine which polynomial has factors of 4x – 7 and x + 4, we can use the fact that if a polynomial has a factors.

So, if a polynomial has factors of 4x – 7 and x + 4, then it can be written as:

(4x – 7)(x + 4)

Multiplying these factors together using the distributive property, we get:

4x²+ 16x - 7x - 28

Simplifying, we get:

4x² + 9x - 28

Hence, the polynomial with factors of 4x – 7 and x + 4 is 4x² + 9x - 28, Option B is correct.

To learn more on Polynomials click:

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A box has a base of 12 inches by 12 inches and a height of 30 inches. What is the length of the interior diagonal of the box? Round to the nearest hundredth.

Answers

This is a problem using the Pythagorean theorem.

The square of the length required is 122 + 122 + 302 = 1188

 

The length is the square root of this number; I will leave it to you to extract the square root.

Answer:

34.47

Step-by-step explanation:

Add or subtract. Write your answer in scientific notation. 6.4 x 10^3+ 1.4 x 10^4+ 7.5 x 10^3

Answers

Answer:

2.79 * 10^4

Step-by-step explanation:

6.4 x 10^3+ 1.4 x 10^4+ 7.5 x 10^3

The exponents need to be the same

6.4 x 10^3+ 14 x 10^3+ 7.5 x 10^3

Add the numbers

6.4 + 14+ 7.5 =27.9

Multiply by the exponent

27.9 * 10 ^3

But this is not in scientific notation

Move the decimal one place to the left and add one to the exponent

2.79 * 10^4

PLEASE HELP ME FAST...​

Answers

Answer:

Sequence a) Pattern: (-2) -9, -11, -13, -15, -17

Sequence b) Pattern: (-5) -15, -20, -25, -30, -35

Sequence c) Pattern: (-6) -13, -19, -25, -31, -37

Hope this helps!

Hi there! Hopefully this helps!

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

A (Subtracting by 2): -9, -11, -13, -15, -17.

B(Subtracting by 5): -15, -20, 25, -30, -35

C(Subtracting by 6): -13, -19, -25, -31, -37

Escreva expressões algébricas mais simples e equivalentes às expressões abaixo.

Answers

Answer:

Step-by-step explanation:

(4a+8)/2 = 4a/2  + 8/2 = 2a + 4(5x + 6x + 22)/11 = (11x+22)/11 = 11x/11 + 22/11 = x + 2{6(x+2)-12}/3 = {6x+12 - 12}/3 = 6x/3 = 2x(

We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation E=\dfrac{17}{20}DE= 20 17 ​ DE, equals, start fraction, 17, divided by, 20, end fraction, D. How many euros have the same value as 111 U.S. Dollar? euros How many U.S. Dollars have the same value as 111 euro? dollars

Answers

Answer: 1 U.S.dollar  = 0.85 euro.

1 euro = 1.18 dollars.

Step-by-step explanation:

The given equation: [tex]E=\dfrac{17}{20}D[/tex]

, where 'E' is the amount of euros that has the same value as 'D' U.S. Dollars.

At D= 1,

[tex]E=\dfrac{17}{20}=0.85\text{ euro}[/tex]

i.e. 1 U.S.dollar  = 0.85 euro.

At E= 1 , we have

[tex]1=\dfrac{17}{20}D\\\\\Rightarrow\ D= 20/17\approx1.18\text{ dollars}[/tex]

Hence, 1 euro = 1.18 dollars.

Five different cookies and four different drinks are served at the Junior Honor Society reception. In how many ways can Sara select three different cookies and two different drinks?

A. 60
B.10
C.6
D.20
E.30
F.120

Answers

[tex]_5C_3\cdot _4C_2=\dfrac{5!}{3!2!}\cdot\dfrac{4!}{2!2!}=\dfrac{4\cdot5}{2}\cdot\dfrac{3\cdot4}{2}=2\cdot5\cdot3\cdot2=60[/tex]

Answer:

[tex]\large \boxed{\mathrm{A. \ 60}}[/tex]

Step-by-step explanation:

[tex]\displaystyle nC_r=\frac{n!}{r!(n-r)!}[/tex]

[tex]5C_3 \times 4C_2[/tex]

[tex]\displaystyle \frac{5!}{3!(5-3)!} \times \frac{4!}{2!(4-2)!}=10 \times 6 = 60[/tex]


What the answer now

Answers

Answer:

Area of the triangle = 98.1 km²

Step-by-step explanation:

In the given triangle WXV,

m∠W + m∠X + m∠V = 180°

m∠W + 119° + 34° = 180°

m∠W = 180° - 153°

m∠W = 27°

By applying Sine rule in the given triangle,

[tex]\frac{\text{SInW}}{\text{XV}}=\frac{\text{SinX}}{\text{WV}}[/tex]

[tex]\frac{\text{SIn27}}{\text{XV}}=\frac{\text{Sin119}}{26}[/tex]

[tex]XV=\frac{26\times (\text{Sin27})}{\text{Sin119}}[/tex]

XV = 13.496 km

Area of the ΔWXV = [tex]\frac{1}{2}(\text{WV})(\text{XV})(\text{SinV})[/tex]

                               = [tex]\frac{1}{2}(26)(13.496)(0.55919)[/tex]

                               = 98.109

                               ≈ 98.1 km²

What is the quotient ? -4 /5 divide 2 A . - 1 3/5 B . -2 /5 c. 1/2 D . 1 3/ 5

Answers

Answer:

[tex] \boxed{ - \frac{2}{5} }[/tex]

Option B is the correct option.

Step-by-step explanation:

[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]

[tex] \mathrm{dividing \: a \: negative \: and \: a \: positive \: equals \: a \: negative \:. \: ( - ) \div ( + ) = ( - )}[/tex]

[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]

[tex] \mathrm{dividing \: is \: equivalent \: to \: multiplying \: with \: the \: reciprocal}[/tex]

[tex] \mathrm{ - \frac{4}{5} \times \frac{1}{2} }[/tex]

[tex] \mathrm{reduce \: the \: numbers \: with \: G.C.F \: 2}[/tex]

[tex] \mathrm{ - \frac{2}{5} }[/tex]

Hope I helped!

Best regards!

The quotient of  -4 /5 divide 2 would be equal to -2/5 in simplified form.

What are the Quotients?

Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

We have been given that  -4 /5 divide 2

Thus, we have to divide the terms as;

-4 /5   ÷ 2

Therefore,  -4 /5 x 1/ 2

-2/5

Hence, the quotient of  -4 /5 divide 2 would be equal to -2/5 in simplified form.

Learn more about the quotient;

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What is the standard form of function f ?

Answers

Answer:

f(x) = 4x² + 48x + 149

Step-by-step explanation:

f(x) = 4(x + 6)² + 5

The above expression can be written as: f(x) = ax² + bx + c, by doing the following:

1. Expand (x + 6)²

(x + 6)² = (x + 6)(x + 6)

(x + 6)(x + 6)

x(x + 6) + 6(x +6)

x² + 6x + 6x + 36

x² + 12x + 36

(x + 6)² = x² + 12x + 36

2. Substitute x² + 12x + 36 for (x + 6)² in

f(x) = 4(x + 6)² + 5

This is illustrated below:

f(x) = 4(x + 6)² + 5

(x + 6)² = x² + 12x + 36

f(x) = 4(x² + 12x + 36) + 5

Clear bracket

f(x) = 4x² + 48x + 144 + 5

f(x) = 4x² + 48x + 149

Therefore, the standard of the function:

f(x) = 4(x + 6)² + 5

is

f(x) = 4x² + 48x + 149

1. Which of the following is a true statement?
?
a. To square a number, multiply the number
by 2.
b. The inverse of squaring a number is to
divide the number by 2.
c. To square a number, multiply the number
by itself.
d. A perfect square is a number who's
square root is an even number.

Answers

Answer:

C

Step-by-step explanation:

Definitely not a! To square a number you multiply it by itself. for example, if you were squaring 3, you would do 3x3.

Not b either! You will have to take the SQUARE ROOT of the number!

C is the right answer, as I said for a.

D is wrong! The perfect square 49 has a sqrt (square root) of 7. That is NOT even, so d cannot be true.

C is the only true statement. Also, if this is right, can I get branliest answer? Thx :)

Plz help Solve: y-17= -37

Answers

Answer:

-20

Step-by-step explanation:

First thing you do is set up your equation:

y-17= -37

+17   +17        Next you add 17 to both sides

-------------        Follow your integer rules

y= -20

We can check this by putting it back into the solution

-20-17= -37  Integer Rules

                     You use KCC aka Keep Change Change

= -20+ -17= -37

The answer would be -20

HELPPPP I NEED HELPP ASAPPPP PLEASEE!!!!


Chelsea received $60 for her birthday. She used three fifths of her birthday money to purchase a pair of jeans. She used two thirds of the remaining birthday money to go to the movies. How much money did Brittany have after attending the movies?

Answers

Answer:

$8.

Step-by-step explanation:

So, Chelsea started with $60.

She spend 3/5 of it to buy jeans. Therefore, the jeans' price were 3/5 of 60. In other words, the jeans were 3/5(60)=$36. Since she spend $36 to buy jeans, this means that she has 60-36=$24 left.

And she used 2/3 of $24 to go to the movies. 2/3 of 24 is 2/3(24)=$16. In other words, she spend $16 to go to the movies. This means that she has 24-16=$8 left.

Thus, after buying the jeans and going to the movies, she has $8 left.

Answer:

8 dollars left

Step-by-step explanation:

60 devided by 5 = 12

60 - 36 (three fifths) = 24

24 devided by 3 = 8

24 - 16 ( two thirds) = 8

Find the solutions to $x^2 + 64 = 0.$[tex]Find the solutions to $x^2 + 64 = 0.$[/tex]

Answers

Answer:

x=8i,\:x=-8i

Step-by-step explanation:

x^2+64-64=0-64

x^2=-64

x=\sqrt{-64},\:x=-\sqrt{-64}

x=8i,\:x=-8i

Joaquin used two types of flour in a muffin recipe. How much flour did he use in all? Solve any way you choose.

Answers

Answer:

3 1/6 cups of flour.

Step-by-step explanation

If the zeros of f(x) are x=-1 and x=2, then the zeros of f(x/2) are
A. -1, 2
B. -1/2, 5/2
C. -3/2, 3/2
D. -1/2, 1
E. -2/4

Answers

Answer:

E. -2, 4

Step-by-step explanation:

If the zeroes of a function are given as [tex]\alpha, \beta[/tex], then the function can be written as:

[tex](x-\alpha)(x-\beta) = 0[/tex]

Here, we are given that zeros of [tex]f(x)[/tex] are x=-1 and x=2.

As per above, we can write the function [tex]f(x)[/tex] as:

[tex](x- (-1))(x-2) = 0\\\Rightarrow (x+1)(x-2)=0[/tex]

So, [tex]f(x) =(x+1) (x-2)[/tex]

To find:

Zeroes of [tex]f(\frac{x}2)[/tex].

Solution:

We have found that [tex]f(x) =(x+1) (x-2)[/tex]

Replacing [tex]x[/tex] with [tex]\frac{x}2[/tex]:

[tex]f(\frac{x}2) =(\frac{x}2+1) (\frac{x}2-2)[/tex]

Now, Let us put it equal to 0 to find the zeroes.

[tex]f(\frac{x}2) =(\frac{x}2+1) (\frac{x}2-2) = 0\\\Rightarrow (\frac{x}2+1) = 0 \ OR\ (\frac{x}2-2) =0\\\Rightarrow \frac{x}{2} = -1\ OR\ \frac{x}{2}=2\\\Rightarrow \bold{x =-2, 4}[/tex]

So, the zeroes are -2, 4.

Round 5.9496 to the nearest thousandth

Answers

Answer:

5.95

Step-by-step explanation:

that is because 96 is rounded too 100

so its 5.9500 = 5.95

Answer:

5.950

Step-by-step explanation:

5.9496

ones . tenths  hundredths  thousandths  ten thousandths

5       .  9              4                     9                   6

We are rounding to the thousandths place

so we look at the ten thousandths place

6 > 5 so we round up the the thousandths place

9 will go up so that forces the hundreds place up

4 becomes 5 in the hundreds place

5.950

Consider line A which is defined by the equation:
y=5/6x-5/2
and the point P(-3,6) and then answer the following questions:
a. How would you find the line (B) that passes through point P and is perpendicular to line A? What is the equation of that line?
b. How would you find the length of the segment of line B from point P to line A?
c. How would you find the midpoint between point P and the intersection of line A and line B ?

Answers

Answer:

y = -6/5x +12/5distance from P to A: (66√61)/61 ≈ 8.4504midpoint: (-18/61, 168/61) ≈ (-0.2951, 2.7541)

Step-by-step explanation:

a. The slope of the perpendicular line is the negative reciprocal of the slope of the given line, so is ...

  m = -1/(5/6) = -6/5

Then the point-slope form of the desired line through (-3, 6) can be written as ...

  y = m(x -h) +k . . . . . line with slope m through (h, k)

  y = (-6/5)(x +3) +6

  y = -6/5x +12/5 . . . equation of line B

__

b. The distance from point P to the intersection point (X) can be found from the formula for the distance from a point to a line.

When the line's equation is written in general form, ax+by+c=0, the distance from point (x, y) to the line is ...

  d = |ax +by +c|/√(a² +b²)

The equation of line A can be written in general form as ...

  y = 5/6x -5/2

  6y = 5x -15

  5x -6y -15 = 0

Then the distance from P to the line is ...

  d = |5(-3) -6(6) -15|/√(5² +(-6)²) = 66/√61

The length of segment PX is (66√61)/61.

__

c. To find the midpoint, we need to know the point of intersection, X. We find that by solving the simultaneous equations ...

  y = 5/6x -5/2

  y = -6/5x +12/5

Equating y-values gives ...

  5/6x -5/2 = -6/5x +12/5

Adding 6/5x +5/2 gives ...

  x(5/6+6/5) = 12/5 +5/2

  x(61/30) = 49/10

  x = (49/10)(30/61) = 147/61

  y = 5/6(147/61) -5/2 = -30/61

Then the point of intersection of the lines is X = (147/61, -30/61).

So, the midpoint of PX is ...

  M = (P +X)/2

  M = ((-3, 6) +(147/61, -30/61))/2

  M = (-18/61, 168/61)

A piece of art is in the shape of an equilateral triangle with sides of 6 in. Find the area of the piece of art. Round your answer to the nearest tenth.

Answers

Answer:

15.6

Step-by-step explanation:

We can take this equilateral triangle and split it in half to form a 30-60-90 triangle. This will have base of 3, and height of 3[tex]\sqrt{3}[/tex]. The area of this is

1/2 ( 3 )( 3[tex]\sqrt{3}[/tex] ), but the 1/2 cancels since we have 2 halves of the triangle, and so the area is 9.

[tex]\sqrt{3}[/tex] is approx. 1.732, so multiplying this by 9, our answer is 15.6

Answer:

15.6 inches squared.

Step-by-step explanation:

According to the diagram below, the formula for the area of an equilateral triangle is the square root of 3 times the side length squared divided by 4.

The side length is 6. So, the area of the triangle is...

[tex]\frac{\sqrt{3} * 6^2}{4}[/tex]

= [tex]\frac{6^2 * \sqrt{3}}{4}[/tex]

= [tex]\frac{36\sqrt{3}}{4}[/tex]

= [tex]9\sqrt{3}[/tex]

= 9 * 1.732050808

= 15.58845727, which is about 15.6 inches squared.

Hope this helps!

Simplify this expression:
4(1 - 3x) + 7 x - 8

Answers

4(1-3x) + 7x -8

Use distributive property:

4 -12x + 7x -8

Now combine like terms:

-5x -4

Answer:

[tex]-5x-4[/tex]

Step-by-step explanation:

With the expression [tex]4(1-3x) + 7x - 8[/tex], we can simplify it down by applying the distributive property, then combining like terms.

[tex]4(1-3x)+7x-8\\\\4-12x+7x-8\\\\4-5x-8\\\\-5x-4[/tex]

Hope this helped!

what are some words that relate to geometry but are difficult to precisely define?

Answers

These words related to geometry that are quite hard to define precisely are called the point, the line and the plane. They are called as such, not because you can't necessarily define them.

At a carnival game, there is a 35% probability of winning a prize. What is the probability of not winning a
prize?
70%
65%
35%
50%

Answers

Answer: B) 65%

The two percentages (for winning and not winning) must always add to 100%, which you can think of 100% of a pie. So 100-35 = 65 showing that 35+65 = 100.

Answer:

There is a 65% probablility of not winning a prize.

Step-by-step explanation:

The 35% chance of winning a prize is taken out of a total percentage of 100. If you subtract 35 from 100, the remaining number, 65, is the probability of not winning, since there are only two possible outcomes.

martin ordered a pizza with a 16-inch diameter. Ricky ordered a pizza with a 20-inch diameter. What is the approximate difference in area of the two pizzas?

Answers

Answer:

14

Step-by-step explanation:

EASY QUESTION What is the difference between history and world history? Please explain it easily :D

Answers

Answer:

Assuming you mean "American History V World History"

American History tends to focus on the history of the United States, beginning largely with the colonial era and tracking forwards towards the present. It's largely a national history. World History, on the other hand, is far more encompassing, both geographically as well as temporally.

Assuming you mean "Global History V World History"

World history encompasses a history that is not necessarily completely interconnected through globalization, while global history examines this specific history of inter-connectivity. World History examines the individual histories of different locations around the world, whereas Global History examines how those locations are connected.

Answer:

World history encompasses a history that is not necessarily completely interconnected through globalization, while global history examines this specific history of interconnectivity. ... Furthermore, the fluid nature of what world and global histories mean ensures a number of disagreements with these definitions.

solution for x+4 is equal to 10​

Answers

The answer is x=6. This is because 6+4 equals 10

Answer:

x = 6

Step-by-step explanation:

x + 4 = 10

x = 10 - 4

x = 6

hope it helps

Let f and g be inverse functions. Find f(g(8)).

Answers

Answer:

8

Step-by-step explanation:

If f and g are inverse functions , they undo each other

f(g(8))= 8 when  f and g are inverses

Answer:

8

Step-by-step explanation:

I have no further information so this is the only answer.

Factor 75 - 95. a. 5(15 - 19) b. 5(19 - 15) c. 25(3 - 4) d. 25(4 - 3)

Answers

Answer:

a. 5(15-19)

Step-by-step explanation:

to factor out this expression you need to find the greatest common factor (GCF) in order to fully factor out the expression

the GCF of the number 75 and -95 is 5

divide both numbers by 5 to get 15 and -19

to finish out with the fully factored expression put 15-19 inside parenthesis and put a 5 outside of the parenthesis as shown below:

5(15-19)

Answer:

a.  5(15  -19)

Step-by-step explanation:

15*5 = 75

-19*5 = -95

Factor is:

5(15 -19)

Happy D's Playland charges a $100 flat
fee for parties plus $1.50 per person.
Marta has $125 to spend. Which
inequality could help Marta find the
number of people she can invite?

Answers

Answer:

$16.66

Step-by-step explanation:

$125-$100 = $25

since its $1.50 per person, we do $25 DIVIDED by $1.50 = $16.66.

i hoped this helped :)

look at image and solve​

Answers

dac=90-(30+45)

=90-75

=15

hope it helps

It is complementary

Answer:

it is complementary angle.

15degrees

Step-by-step explanation:

complementary angle is when the sum of angles is equal to 90degrees.

45+30+<DAC=90

75+<DAC=90

<DAC=90-75

<DAC=15 degrees.

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