Express 432 as a product of powers of its prime factors.

Answers

Answer 1

We can see easily this is an even number, so let's first divide by 2.

432=2*216

We can see the remaining 216 is still even so we continue.

432=2*2*108

And continue

432=2*2*2*54

and continue

432=2*2*2*2*27

Now we can see that 27 is a multiple of 3 in fact its 3^3.

So we can conclude that 432=[tex]2^4*3^3[/tex]


Related Questions

In addition to the information given below in the drawing, which statement is sufficient to prove triangle STW similar to triangle XYZ?

Answers

D

XZ : YZ = 5:8

3 * XY = 27 (9*3 = 27)

3*XZ : 3*YZ = 3*5 : 3*8

SW : TW = 15 : 24

SW = 15 and TW = 24

The additional information which needed to prove triangle STW similar to triangle XYZ are SW = 15 and TW = 24

What are similar triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

Given that, two triangles STW and XYZ, ST = 27, XY = 9, YZ = 8 and XZ = 5

We need to select a statement which will complete the proof of Δ STW ~ Δ XYZ

We know that, Similar triangles have the same corresponding angle measures and proportional side lengths.

If we consider Δ STW ~ Δ XYZ,then we get,

ST / XY = TW / YZ = SW / XZ = 3

Therefore,

SW / XZ = 3

SW / 5 = 3

SW = 15

Also,

TW / YZ = 3

TW / 8 = 3

TW = 24

Hence, the additional information which needed to prove triangle STW similar to triangle XYZ are SW = 15 and TW = 24

Learn more about similar triangles, click;

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I'm getting an answer but it doesn't make sense. I don't know WHAT I'M DOING WRONG. (I think x should be 3 and y should be 2 but I can't get that)

Answers

-2x+8=x-1
+2x +2x
8=3x-1
9=3x
x=3


-2(3)+8=y
-6+8=y
y=2

please help quick!! pythagorean theorem!

Answers

Answer:

hmmmmm not sure

Step-by-step explanation:

Slope of -7 and y -intercept of 1

Answers

The graph of y = 1 is a horizontal line at the value y = 1. The slope of a horizontal line is m = 0.

Which relation is not a function?
A
{(10,-5), (8,-4),(4, -2),(2,0)}
B
{(1, -2), (1,-4), (1.0), (1,8)
C С
{(-3,9),(-2,4),(-1.1), (1,1)
D
{(3,10),(5, -5), (6,6), (9,11)}

Answers

Answer: B

It is not a function because the x can’t repeat twice

which polynomials are in standard form?

Answers

Answer:

c is the ans

Step-by-step explanation:

if If I want to cook something at 160° and my oven only works for 350° and the recipe for the 160 degrees is 25 minutes how much would it be for the 350 degrees oven

Answers

Answer: I would say 20-30 minutes i'm not completely sure though

what is the difference of 3 1/4 and 15/16.

Answers

It is the fact that I don’t know so sorry that u don’t know it either

Answer:

I hope it helps

The options are:

A. tan(<A)
B. length of side adjacent to <A / length of hypotenuse
C. sin(<A)
D. AC/AB​

Answers

Answer:

I'm probably wrong but I think it's D

D is da answer .......

Robert has 9/10 of a pizza. The pizza will be divided equally among 3 people. How much will each person get?

Answers

Each person will get 3/10 of the pizza. Hope this helps. :)

En la siguiente figura¿que longitud debe tener el segmento d,para que a y b sean proporcionales

Answers

I don’t know French or what ever u have written so pls do it ur self

I need help with geometry

Answers

Answer:

360

Step-by-step explanation:

Please mark me brainliest, 5 stars, and a thanks! Have a great day!

Need help with this!​

Answers

Answer: x= 10

Step-by-step explanation:

Same side exterior angles sum to 180.

Using this axiom we can say that

142+ (3x+8) = 180

Add like terms on the left side

150+ 3x = 180

Subtract 150 from both sides

3x = 30

Divide both sides by 3

X= 10

If 72 = 12x, what does x equal?

Answers

Answer:

x=6

Step-by-step explanation:

So, x is our unknown variable. An so you have to ask yourself, what times 12= 72? The answer would be 6, because 12x6=72

The proper way to do it, would be to divide 12/12 so you isolate the variable, and what you do to one side, you do to the other, so divide 72 by 12 and you get 6! Hope this helps!

I will give brainiest to whoever answers right PLEASE

Answers

Answer: questions aren't clear

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. D

2.B

3.B

4.C

5.D

6.A

F(t) 2t-3
F(7)=?
What does f(7) equal?

Answers

Answer:

F(7) = 11

Step-by-step explanation:

F(7) = 2(7) -3

      = 14 - 3

      = 11

Answer:

f(7)=2/7t+-3/7

Step-by-step explanation:

you just have to plug 7 in and put an = sign which makes F(7)=2t-3 then solve

Someone please help

Which of these statements about gross income and net income is true?

A. Gross income is a tax on all income that a worker earns, and net income is a tax paid by an employer based on a worker's wages.

B. Gross income is a tax paid by an employer based on a worker's wages, and net income is a tax on all income that a person earns.

C. Gross income is the amount an employee is paid after deductions and taxes, and net income is the total amount an employee earns before deductions are applied.

D. Gross income is the total amount an employee earns before deductions are applied, and net income is the amount an employee is paid after deductions and taxes.​

Answers

Answer:

D. Gross income is the total amount an employee earns BEFIRE deductions...

Please help me I’m very confused!!!!!!!!!

Answers

I believe that the answer is 20.

According to the rule of 72, in about how many years will $80 be worth $40 if the rate of inflation is 3%? A. 6 years B. 12 years C. 48 years D. 24 years​

Answers

Answer:

24 years  answer is D

Step-by-step explanation:

6. Determine the binomial that when multiplied by
(2x - 5), results in the product 6x² - 7x – 20.

Answers

Answer:

(3x + 4)

Step-by-step explanation:

[tex]required \: binomial \\ \\ = \frac{6 {x}^{2} - 7x - 20}{(2x - 5)} \\ \\ = \frac{6 {x}^{2} - 15x + 8x - 20}{(2x - 5)} \\ \\ = \frac{3x(2x - 5) + 4(2x - 5)}{(2x - 5)} \\ \\ = \frac{ \cancel{(2x - 5)}(3x + 4)}{ \cancel{(2x - 5)}} \\ \\ = (3x + 4)[/tex]

3. How many possible negative real zeros are there for the polynomial g(x) = 2x4 + x3 - 4x + 1?
A. 1
B. 3
C. 2
D. 5

Answers

The answer to the equation is C.2

Solve for h in this right triangle. Show all steps and round your answer to the nearest hundredth.

Answers

Answer:

708.56 ft

Step-by-step explanation:

Use the tangent trig rule, TOA in SOH-CAH-TOA. Take your opposite, h, and divide it over your adjacent, 875. Then take the tangent of 39° using a calculator, and multiply 875 on both sides to get h by itself, that being the result of 708.56 ft rounded.

A water tank holds 657 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 876 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?


NEED THIS DONE ASAP!!!!!

Answers

Answer:

hola

Step-by-step explanation:

hablas español hablas con la que pidio ayuda y tu hablas español

Yasin earns £61200 per year. The first £11900 is tax free but 10% must be paid on the first £10000, 15% on the second £10,000 and 25% tax must be paid on the rest. How much tax does Yasin pay?

Answers

Answer:

44

Step-by-step explanation:

What is the value of f if 9f+11=3f+23

Answers

Answer:

f=2

Step-by-step explanation:

F = 2

9f+11
If f is two, 9f = 18.
11+18= 29

3f +23
If F is two, then 3f = 6.
6+23=29.

Well, look there- both answers are equal so F equals 2

F=2

Don buys a car for $22,500. Don gets a loan for 5 years with an interest rate of 3% per year. How much total interest will Don pay over the five years?

Answers

Answer:

$3375

Step-by-step explanation:

I=Interest

P=Principal

R=Rate

T=Time

The rule of the simple interest is:

I=PRT

I=22500×0.03×5

I=$3375

3375$ hope this helps

i need help to solve please

Answers

Answer:

y = 8; x = 6 [tex]\frac{7}{8}[/tex] ; n = 1 [tex]\frac{2}{23}[/tex] ; p = 55

Step-by-step explanation:

First proportion

// How to solve it

// firstly, multiply both sides by y, so that y would be in numerator

[tex]\frac{16}{16} * y[/tex] = [tex]\frac{8}{y} * y[/tex]

// now we get

[tex]\frac{16y}{16}[/tex] = 8

// secondly, divide both sides by [tex]\frac{16}{16}[/tex], so that we'd have y on one side and the expression on the other side

y = [tex]\frac{16}{16}*8[/tex]

// since [tex]\frac{16}{16}[/tex] = 1

y = 8

Second proportion

// divide both sides by 22, so that there'd be unknown variable x on one side and the expression on the other side

x = [tex]\frac{10*22}{(y*4)}[/tex]

Is this y from the first proportion?

If so, then x = [tex]\frac{10*22}{(8*4)}[/tex] = [tex]\frac{220}{32}[/tex] = [tex]\frac{55}{8}[/tex] = 6 [tex]\frac{7}{8}[/tex]

Third proportion

// divide both sides by 5

n = [tex]\frac{5}{23} * 5[/tex] = [tex]\frac{25}{23}[/tex] = 1 [tex]\frac{2}{23}[/tex]

Fourth proportion

// divide both sides by 10

p = [tex]\frac{22}{4} *10[/tex] = 55

Lanny goes to the bank and puts $4000 dollars in a savings account. He gets and simple interest of 2.5%. If he leave the money in the account for five years how much will he have in the savings account?

Answers

Answer:4,100

Step-by-step explanation:

1 point
Captionless Image

Answers

Answer:

uhhh ok

Step-by-step explanation:

Answer

That's simple the answer is  

Step-by-step explanation:


what does r = !!!!!!!!!!!!!

Answers

Answer:

11

Step-by-step explanation:

r=6+5

=11

if my answer helps please mark as brainliest

Answer:

r = 11

Step-by-step explanation:

Add 5 to both sides of the equation:

6 + 5 = r - 5 + 5

Add the numbers

11 = r - 5 + 5

11 = r

Move the variable to the left

r = 11

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