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Thepotemich [5.8K]
4 years ago
6

Ryan wrote the prime factorization shown below. If he continues this pattern, what prime factorization will he show for the numb

er one million? What prime factorization will he show for one billion?
10= 5•2
100= 5 to the 2nd power • 2 to the second power
1000= 5 to the 3rd power • 2 to the third power
Mathematics
1 answer:
goblinko [34]4 years ago
3 0
Ryan's answer is 23, your welcome 
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Let Y be a random variable with a density function given by
Neporo4naja [7]

From the given density function we find the distribution function,

F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y

(a)

F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)

\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1

\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}

(b)

F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y

\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2

\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}

(c)

F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})

\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3

\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}

5 0
3 years ago
17. Julie has $80 in her savings account and plans to save Sr each
marshall27 [118]

Answer:

$8(x + 10)

Step-by-step explanation:

The expression $8x + $80  has two terms. They are $8x and $80.

When you factor an expression, you are looking for numbers that every term in the expression can divide by (and give a whole number).

Just by looking at the terms, you see they both have $ you can factor out. They can both also be divided by 8. This is called taking out a common factor.

$8x + $80     Take out the common factor

= ($8x) / $8 + ($80) / $8

= $8(x + 10)      The common factor goes outside the terms' bracket

This expression can't be factored more because there are no common factors. The binomial also doesn't have square numbers for example, which might make a case where you need to factor further with different methods.

7 0
3 years ago
Mrs. Barnes cuts1/2 of a piece of construction paper. She uses 1/6
denpristay [2]

Answer:

Step-by-step explanation:

what fraction?? she uses 1/6 of the construction paper

if you are referring to how much paper is left, its 2/6 aka 1/3

4 0
2 years ago
Read 2 more answers
What is the form of the Difference of Squares identity ? A. a ^ 2 - b ^ 2 = (a - b)(a - b) B. a ^ 2 + b ^ 2 = (a - b)(a - b); a
lozanna [386]
A^2 - b^2 = (a-b)(a+b)
To test it, expand the right hand side.
7 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Tasya [4]

The coordinates of point F are (15/4 , -5/2)

  • The coordinates of point G  = (-3/4 , -3)

<h3>What is the coordinates  about?</h3>

From the image attached:

AB divided into 4 similar parts, hence

  • E is the mid-point of AB
  • D is the mid-point of AE
  • F is the mid-point of EB

Note that the rule of the mid-point states that:

When M (x , y) is the mid-point of the segment of AB, where A (x1 , y1)  and B (x2 , y2), Then  x = (x1 + x2)/2 and that of  y = (y1 + y2)/2

Then lets solve for points E, F, D

Since A (-3 , -1) and B (6 , -3),

E is the mid-point of AB

Then  E =[(-3 + 6)/2, (-1 + -3)/2]

         = (3/2 , -2)

Since  F is the mid-point of EB,

         E (3/2 , -2) , B (6 , -3)

Then F = [(3/2 + 6)/2 , (-2 + -3)/2]

       = (15/4 , -5/2)

Since D is the mid-point of AE, A (-3 , -1), E (3/2 , -2)

Then  D = [(-3 + 3/2)/2 , (-1 + -2)/2]

           = (-3/4 , -3/2)

Note also that:

 BC is said to be an  horizontal segment due to the fact that B and C have similar y - coordinate and G can be found on BC.

Since the y-coordinate of G is similar to y-coordinate of B and C

Then  y-coordinate of G is =  -3

Since DG ⊥ BC

Then DG =  vertical segment

So  G has similar x-coordinate of D

Then  The x-coordinate of G = -3/4

The  G = (-3/4 , -3)

Learn more about coordinate from

brainly.com/question/12481034

#SPJ1

6 0
1 year ago
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