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

Jeff purchased 5 items at the same price and 1 item for $2.95. What was the individual price of the 5 items if Jeff's total was $18.90 before tax?

Answers

Answer:

Step-by-step explanation:

don't understand the question

Write the equation of the line that has a slope of four and passes through the point 6,5

Answers

Answer:

4x-y=19, y=4x-19

Step-by-step explanation:

I learned a really quick way to do these in geometry.

Let's use standard form or ax+by=c.

Slope of 4:  4x - y = c.

Passes through point 6,5.

4(6) - 5 = c

c= 24-5

c=19

4x-y=19

y=4x-19

SOMEONE PLEASE HELP ME BEFORE I FAIL

Answers

Answer:

4/40

Step-by-step explanation:

you can reduce this to 1/10

multiplying 4 by both 1 and 10 will give you the fraction 4/40 both can be divided by 4 and that's how it can reduce to the 1st fraction (1/10)

The least common multiple of 20 and 12 is

Answers

Answer:

60

Step-by-step explanation:

Which graph represents the function?

f(x)=1x−1−2

IS MY ANSWER CORRECT????

Answers

Yes your answer is right

You can use the graph given to form the equation and using the fact that as the denominator goes towards zero, the fraction outputs immensely big magnitude numbers(tending to arbitrarily large numbers)

The equation for the given graph can be:

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

How to find the function which was used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Using the graph to form the equation

Since the graph goes to negative infinity as it comes from left side of 1 towards 1, and goes to positive infinity as it comes from the right side of 1, thus, there might be x-1 in denominator which takes the magnitude to infinite and sign to + if x > 1 and to - if x < 1

Now since the graph intersects the y axis at y = -3, thus, we need the function to be such that putting x = 0 in the function  outputs -3 as value of the function.

Thus,

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

Since putting 0 in [tex]\dfrac{1}{(x-1)}[/tex] gives -1 as answer, we have to subtract 2 more.

Thus, we have:

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

Checking it, as the graph intersects the x axis at 1.5, putting f(x) = 0 should give us x = 1.5,

[tex]f(x) = \dfrac{1}{x-1} - 2\\\\0 = \dfrac{1}{x-1} - 2\\\\2(x-1) = 1\\\\x = 1 + \dfrac{1}{2} = 1.5[/tex]

It is correct.

Thus,

The equation for the given graph can be:

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

Its graph is attached below.

Learn more about graphing functions here:

https://brainly.com/question/17056821

James is a botanist studying the production of beans by two types of bean plants.
He noticed that the string bean plant produced 30% more beans than the lima bean
plants. Based on James' observation, if the string bean plants produced 130 string
beans, how many lima beans did the lima bean plant produce?

Answers

Answer:

100 lima beans

Step-by-step explanation:

We can write an equation with s = string beans and l = lima beans:

s = 1.3l

We can now plug in 130 = s to get:

130 = 1.3l

We divide both sides by 1.3 and get:

100 = l

That means the lima bean plant produced 100 lima beans

Answer:

91

Step-by-step explanation:

130 * 30% =

130 * 0.3 =

39

130 - 39 = 91

Solve the system of equations - 8x - 5y = -13 and - 4x – 5y = 11 by
combining the equations.

Answers

Answer:

(6,-7)

Step-by-step explanation:

subtract them:

-8x - 5y = -13

-4x - 5y = 11

you get

-4x = -24

so x = 6

plug x into the second equation:

-24 - 5y = 11

-5y = 35

y = -7

so your solution is (6,-7).

Answer:

Your solution is (6, -7).

Step-by-step explanation:

Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.

-8x - 5y = -13

-4x - 5y = 11

Let's change the second equation into one with one variable on each side.

-5y = 4x + 11

y = -4/5x - 11/5

Now, plug this into your first equation.

-8x - 5(-4/5x - 11/5) = -13

Distribute the -5 sign.

-8x + 4x + 11 = -13

Combine the like terms.

-4x + 11 = -13

-4x = -24

Isolate x by dividing both sides by -4.

x = -24/-4

x = 6

Now plug this back into either equation.

y = -4/5(6) - 11/5

Multiply.

y = -24/5 - 11/5

Subtract.

y = -35/5

Simplify.

y = -7

Your solution is (6, -7).

Check this by plugging in these values into the equation you have not checked yet.

-8(6) - 5(-7) = -13

-48 + 35 = -13

-13 = -13

Your solution is correct.

Hope this helps!

Rewrite the function f(x)=4(x-2)²-8 in the form f(x)=ax²+bx+c.
HELP I NEED IT ASAP PLEASE AND THANK YOU

Answers

Answer:

stop

Step-by-step explanation:

Answer:

4x^2 - 16x + 8

Step-by-step explanation:

4(x-2)^2-8

4(x-2)(x-2)-8

4{x^2-4x+4}-8

4x^2 - 16x +16 - 8

4x^2 - 16x + 8

Amanda plans on going to the amusement park this Friday. It costs $25.00 to
enter the park, and then $1.25 for every ride that Amanda goes on. What will be
the total cost if Amanda goes on 9 rides?

Answers

Answer:

$36.25

Step-by-step explanation:

To enter the park, Amanda pays 25 dollars.

+$25

It costs 1.25 for every ride that Amanda goes on.

Since we don't know the number of rides Amanda goes on, we will add a variable to represent the number of rides.

1.25x

Then, the passage says that Amanda goes on 9 rides. So, substitute 9 for x.

Equation: 25+1.25(9)

Then solve:

$36.25

jon had 500 apples and he gets 111100 more apples. how many apples dose jon haver in all

Answers

Answer:

1111600                   lol

Step-by-step explanation:

To many apples
111600

Plz help !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

x^2 + 7x + 5x + 35

7x : II

5x: III

35: IV

Help plzzzzz when this question ASAP

Answers

i am pretty sure this is the answer:

y=5x+4

Answer: y=5x+4

Step-by-step explanation:

Order these numbers from least to greatest.
5.019, 5.1982, 5.5, 5.19

Answers

Answer:

5.019 < 5.19 < 5.1982 < 5.5

Step-by-step explanation:

You have to look at the place values

Is the function a polynomial function?

f(x) = 4 -1/x^2


Answers

Answer:

yes

Step-by-step explanation:

Plz help will mark brainliest

Answers

Answer:

goemetric is the answer

what is the result of adding these two equations 8x-4y=-4 -3x+4y=5

Answers

Answer:

8x-4y=-4

-3x+4y=5

+

-----------------(adding equation)

5x=9

is a required answer

in a company, 37% of the 1500 employees are females
work out the number of males in the company

Answers

100-37 = 63

63% are male

63/100*1500 = 945 are male
37 x 1500 = 55500
55500 divided by 100 = 555

help meh please.......
.......

Answers

When x = 0.8, D. is correct

2.01 > 2.5(0.8)

2.01 > 2 √

Answer:

D.

Step-by-step explanation:

D is the correct answer choice because once you substitute 0.8 with x and multiply, 2.5 and 0.8.

2.5 · 0.8=2

2.01 is greater than 2

The statement is correct.

evaluate 7y-3y for y=2

Answers

Answer:

8

Step-by-step explanation:

So. Let's plug in 2 for y. 7(2)-3(2). Before we subtract, let's multiply first. 7 times 2 is 14 and 3 times 2 is 6. So now the equation looks like this: 14-6. From here, you do regular subtraction to get 8. Hope this helps!

According to the Bureau of Labor Statistics, preschool teachers earn _______________ per year with an associate's degree, and the job growth is projected at ________ per year.

a. $18,575, 10 percent
b. $28,990, 3 percent
c.m$28,990, 10 percent
d. $24,990, 3 percent

Answers

You answer will be d
The correct answer is d. Your welcome luv <3

-) Colin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win
more than 200 points. He wants to know how many gold coins he needs to find.
) Let g be the number of gold coins Colin finds. Which inequality represents the situation?
259 > 200
259 > 200
25 +9 > 200
25+ 9 > 200

Answers

Answer:

A

Step-by-step explanation:

25g>200

so A

if my answer helps please mark as brainliest.

In math what is 2x=y+b

Answers

Answer:

y= -2x+b

Step-by-step explanation:

Can anyone help me;(

Answers

Answer:

Use "photo math."

Step-by-step explanation:

A scale model of the statue of liberty is 8 inches tall. If the scale used is 1 in = 30yd. What is the actual height of the statue of liberty?

Answers

Answer: 250 yd

Step-by-step explanation:

From the question, we are informed that the scale model of the statue of liberty is 8 inches tall and that the scale used is 1 in = 30yd.

Since the scale used was 1 in = 30 yd, the actual height of the statue of liberty will be:

= 8 × 30

= 240 yd

Which graph represents the function?

f(x)=1x+1−2

IS MY ANSWER CORRECT???

Answers

Answer:yes

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

Find the perimeter of the following triangle. Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

step 1. The perimeter (P) is the length around the triangle.

step 2. P = 6 + 5 + L (the length of the hypotenuse)

step 3. L = sqrt(6^2 + 5^2) = sqrt(61) where sqrt is the square root

step 4. P = 11 + sqrt(61) = 18.81.

Number 15
Please help I need to turn this in today!

Answers

Answer:

d is equal to or greater than 9

Step-by-step explanation:

Subract thirteen from both sides of the equation.

Find the x- and y-intercepts of the graph of the linear equation 3x+6y=2

Answers

Answer:

x-intercept: 2/3

y-intervept: 1/3

Step-by-step explanation:

3x + 6y = 2

You're supposed to 'cover them'.

If you want to find the x-intercept, you will cover 6y like it doesn't exist. So now, it's going to be:

3x = 2

You'll then solve for x, which will be the x-intercept

3x/3 = 2/3 (Divide both sides by 3)

x = 2/3 or 0.66... (the 6 goes on forever)

Now, to find y, you'll act like x doesn't exist. It's going to be:

6y = 2

Solve for y, which will be the y-intercept

6y/6 = 2/6 (Divide both sides by 6)

y = 1/3 or 0.33... (the 3 goes on forever)

If you put them as coordinates:

x-intercept: (2/3, 0)

y-intercept: (0, 1/3)

Rate of change and slope. Can anybody help me? This is a major and I do not understand the problem.

Answers

Step-by-step explanation:

1. the rate of change is constant. the slope is 3

2. the rate of change is variable, because it's not consistent.

A fish in an aquarium is 4ft long. A scale model of the fish is 2in long. What is the scale factor

Answers

8? Mdmdmmdmdmdmmdkdkd
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