1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katena32 [7]
3 years ago
5

What is the prime factorizarion for 500​

Mathematics
2 answers:
Anni [7]3 years ago
7 0

Answer:

2^2 x 5^3{2 to the power of 2[2 x 2=(4)] x 5 to the power of 3[5 x 5 x 5=(125)]}

Step-by-step explanation:

500

/     \

2   250

{Choose a factor pair that multiplies to get 500}

       /    \

     2    125

{If the number is even, split it up into 2 factor pairs=*}

           /     \

         5     25

{*}

               /     \

            <em><u>5</u></em>       <em> </em><em><u>5</u></em>{Once both numbers are odd, stop splitting them.}

The numbers I had both underlined & italicized should be multiplied. 2 x 2 is the same as 2^2, as 5 x 5 x 5 is basically 5^3,=. 2^2 x 5^3 = 500, just as 250 x 2 = 500.

Nataly_w [17]3 years ago
5 0

Answer:

2 exponents (2) times 5 exponents (3)

Step-by-step explanation:

To find the prime factors you start by dividing the number by the first prime number which is 2 if there is not a remainder meaning you can divide evenly anymore write down how many 2's you were able to divide by evenly now try dividing by the the next prime factor which is 3 the goal is to get to a quotient of 1

You might be interested in
A nick on the edge of a CD rotates to (−6, 5) during one song when represented graphically.
Allisa [31]
By definition, the sine of an angle is given by:
 sin \alpha =  \frac{C.O}{h}
 Where,
 C.O: opposite leg
 h: hypotenuse
 The hypotenuse is given by:
 h =  \sqrt{(-6)^2+(5)^2}
 h =  \sqrt{(61}
 So, replacing values we have:
 sin \alpha = \frac{5}{\sqrt{61}}
 Rewriting we have:
 sin \alpha = \frac{5\sqrt{61}}{61}
 Answer:
 
the sine value of this function is:
 
A)5 times square root 61 over 61
6 0
3 years ago
Read 2 more answers
What is the slope of the line y= 1
Harrizon [31]

Answer:

The slope of y = 1 is 0

explanation:

Determining slope has been based on a simple formula, y2-y1 over x2-x1.

It is crucial to follow this formula in order to attain the proper slope.

When a simple expression is given, for instance; y = 1 then it could be divided by 0; thus, resulting in the answer simply being zero.

However, x=1  would contain the slope of undefined because any number divided by zero results in an undefined answer.



8 0
3 years ago
For f left parenthesis x right parenthesis equals StartRoot x EndRoot and g left parenthesis x right parenthesis equals 4 x plus
lara31 [8.8K]

Answer:

Step-by-step explanation:

Given that there are two functions f and g as

f(x) = \sqrt{x} \\g(x) =4x+9

We have to find the composition of functions.

Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.

a)fog= f{g(x)} =f(4x+9) = \sqrt{4x+9}

b) gof = g{f(x)} = g(\sqrt{x} )=4\sqrt{x} +9

c) fof = f(\sqrt{x} ) = \sqrt[4]{x}

d) gog = g(4x+9) = 4(4x+9)+9\\= 16x+45

4 0
3 years ago
Consider a circle whose equation is x2 + y2 + 4x – 6y – 36 = 0. Which statements are true? Check all that apply. To begin conver
umka21 [38]

Answer:

1) False, to begin converting the equation to standard form, each side must be added by 36. 2) True, to complete the square for the x terms, add 4 to both sides, 3) True, the center of the circle is at (-2, 3), 4) False, the center of the circle is at (-2, 3), 5) False, the radius of the circle is 7 units, 6) False, the radius of the circle is 7 units.

Step-by-step explanation:

Let prove the validity of each choice:

1) To begin converting the equation to standard form, subtract 36 from both sides:

Let consider the following formula and perform the following algebraic operations:

(i) x^{2} + y^{2} + 4\cdot x - 6\cdot y  - 36 = 0 Given

(ii) x^{2} + 4\cdot x + y^{2} - 6\cdot y - 36 = 0 Commutative Property

(iii) (x^{2} + 4\cdot x + 4) - 4 + (y^{2} - 6\cdot y + 9) - 9 -36 = 0 Modulative/Associative Property/Additive Inverse Existence

(iv) (x+ 2)^{2} - 4 + (y - 3)^{2} - 9 - 36 = 0  Perfect Trinomial Square

(v) (x+2)^{2} +(y-3)^{2} = 4 + 9 + 36 Commutative Property/Compatibility with Addition/Additive Inverse Existence/Modulative Property

(vi) (x+2)^{2} + (y-3)^{2} = 49 Definition of Addition/Result

False, to begin converting the equation to standard form, each side must be added by 36.

2) True, step (iii) on exercise 1) indicates that both side must be added by 4.

3) The general equation for a circle centered at (h, k) is of the form:

(x-h)^{2}+ (y-k)^{2} = r^{2}

Where r is the radius of the circle.

By direct comparison, it is evident that circle is centered at (-2,3).

True, step (vi) on exercise 1) indicates that center of the circle is at (-2, 3).

4) False, step (vi) on exercise 1) indicates that the center of the circle is at (-2, 3), not in (4, -6).

5) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

6) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

5 0
3 years ago
Read 2 more answers
Whats the answer to -4&gt;-k/3
Sedbober [7]
1) isolate k: 3(-4)>-k
2) combine like terms: -12>-k
3) get rid of the negative sign (NOTE WHEN YOU DIVIDE BY A NEGATIVE IN AN INEQUALITY YOU MUST FLIP THE SIGN): 12
ANSWER: 12

7 0
3 years ago
Other questions:
  • Eighteen increased by the product of three times a number w is 30. Find the number.
    6·2 answers
  • 5(x−6+3x)2−6 where x=2 .
    6·2 answers
  • Line AB contains points A (−6, 3) and B (2, −5). Line AB has a slope that is
    5·2 answers
  • There are 25 students acting in a high school play. They make up 2% of the high school students. Hoy many students attend at the
    15·2 answers
  • Solve. Use models to help you.
    10·1 answer
  • Please is for today
    12·2 answers
  • A local department store sells carpet in 4 sizes . Each carpet comes in 3 different qualities. One of the size come in 5 colors
    14·1 answer
  • Select the statement that does not correctly use probability to describe an event
    7·1 answer
  • The marked price of a textbook is $20. A school is given a 6.5% discount. Find the amount of money the
    13·2 answers
  • The World Health Organization lists the following overall literacy rates per 100 people for countries. Which answer choice inclu
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!