how is 470000000 written in scientific notation​

Answer:

D

Step-by-step explanation:

The figures are the same just flipped. We can tell AD=NM ON=AB, BC=OP. Thus DC =MP

DC has the length of 6 and because MP is congruent to DC it also has 6.

Work Shown:

4(x+2) + 6x

4x+8 + 6x

(4x+6x) + 8

10x+8

Answer:

Yes. Factored form.

Step-by-step explanation:

Answer:

yes, and it's in intercept form

Step-by-step explanation:

Hi there!

We are given the function f(x)=-2(x-4)(x+3)

A quadratic function is a function that has a degree of 2 (the highest exponent in the function is to the 2nd power)

There are 3 forms to write a quadratic function:

standard form, which is f(x)=ax²+bx+c, where a, b, and c are free coefficients (numbers)

vertex form, which is f(x)=a(x-h)²+k, where a is a free coefficient and (h,k) is the vertex

intercept form, which is f(x)=a(x-[tex]x_{1}[/tex])(x-[tex]x_{2}[/tex]), where a is a free coefficient and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the x intercepts

You may notice that  f(x)=-2(x-4)(x+3)  is actually in intercept form; a is -2 and  [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are 4 and -3 respectively (remember: the formula for intercept form has  -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex], but the x intercepts are  [tex]x_{1}[/tex] and [tex]x_{2}[/tex]. Therefore, the x intercepts should be the opposites of  -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex]).

If the formula is in intercept form, it should be quadratic.

However, if you want to be sure it's quadratic, you can expand the function.

f(x)=-2(x-4)(x+3)  

first, multiply the binomials together using FOIL

(x-4)(x+3)

x²-x-12

now multiply x²-x-12 by -2

-2(x²-x-12)

do the distributive property

-2x²+2x+24

It's a quadratic function! The value of the highest exponent is 2 :)

Hope this helps!

Answer:

a

Step-by-step explanation:

aàaaaaaaaaaqaaaarsgbfyjvdujcgujhgkud parlo

Answer:

d

Step-by-step explanation:

Answer:

Point a

negative means on a number line to the left side

Step-by-step explanation:

Answer:

dang good luck

Step-by-step explanation:

3 hour 30 minutes : 36 minutes

1 hour = 60 minutes

3 hour = 3×60 minutes = 180 minutes

3hour 30 minutes = 180 minutes + 30 minutes

                               = 210 minutes

210 minutes : 60 minutes

3 hours 30 minutes : 60 minutes = 6:2

Answer:

10.125

Step-by-step explanation:

Given the data :

28,45,12,34,36,45,19,20

The mean absolute deviation of the data is :

Σ|x - mean| / n

n = number of values = 8

Mean = Σx / n = 239 / 8

Mean = 29.875

Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size

Using a mean absolute deviation calculator ;

Mean absolute deviation = Σ|x - mean| / n = 10.125

Answer:

c = (ef-ab)/d

Step-by-step explanation:

ab+cd = ef

Subtract ab from each side

ab+cd -ab = ef-ab

cd = ef-ab

Divide by d

cd /d =(ef-ab)/d

c = (ef-ab)/d

Answer:

B

Step-by-step explanation:

Answer:

20 pieces of wood

Step-by-step explanation:

5 divided by 1/4: 20

another way to look at it is if there are 4 of these pieces in a foot, and there are 5 feet, 4 times 5 is also 20.

Answer:

A = 384 inches^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh  where b is the length of the base and h is the height

A = 1/2 ( 32) *(24)

A = 384 inches^2

Answer:

The area of triangle is 384 inches².

Step-by-step explanation:

Area of triangle = 1/2 × base × height

Using Formula

Area of triangle = 1/2 × base × height

substitute the values into the formula

Area of triangle = 1/2 × 32 inches × 24 inches.

multiply,

Area of triangle = 1/2 × 768 inches ²

Divide, we get

Area of triangle = 384 inches ²

Therefore, The area of triangle is 384 inches².

Answer:

I believe that the answer is 80X (or C)

Step-by-step explanation:

it looks like it is just under a right angle so i believe that it would be 80X

Answer:

y=6x

Step-by-step explanation:

Answer:

a) 360 mice

b) 364 mice

Step-by-step explanation:

Assume :

A = number of infected mice , B = number of non-infected mice

P( infected mice overcoming infection ) = 70% = 0.7

P ( Infected mice not overcoming infection ) = 1 - 0.7 = 0.3

P( mice becoming infected ) = 40% = 0.4

P ( mice not becoming infected ) = 1 - 0.4 = 0.6

Number of infected mice = 400

Number of non-infected mice = 1000 - 400 = 600

step 1 ; express the probabilities in matrix form

[tex]P = \left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]

[tex]X = \left[\begin{array}{ccc}400\\600\\\end{array}\right][/tex]

step 2 : multiply the matrix above to determine the number of mice that will be infected

a) For next week

PX = [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]

i.e. 360 mice will get infected next week

next 2 week = P ( PX )

= [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]  * [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]

b) In 3 weeks time

P ( P(PX) = [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]  * [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]  

               = [tex]\left[\begin{array}{ccc}363.6\\636.4\\\end{array}\right][/tex]

i.e.  364 mice will get infected in 3 weeks time

Answer:

5/8

Step-by-step explanation:

Find the common ratio by dividing one of the numbers in the sequence by the previous one:

480/768

= 0.625

Convert this to a fraction:

0.625

= 5/8

So, the common ratio is 5/8

Answer:

4 units

Step-by-step explanation:

P of a square is P =4s

A of a square is A = s^2

4s = s^2

Divide each side by s

4s/s = s^2/s

4 =s

Answer:

[tex]A\approx 159.6[/tex]

Step-by-step explanation:

1. Approach

To solve this problem, divide the given figure up into two smaller figures, a rectangle and a semi-circle. Find the area of each figure and add up the values to find the total area. Remember the formula to find the area of a rectangle is as follows ([tex]A=(length)(width)[/tex]). The formula to find the area of a circle is the following, ([tex]A=(\pi)(r^2)[/tex]).

2. Find the area of the rectangle

The radius is the measurement in a circle from the center of a circle to any point on the circle's circumference (outer edge). The diameter is a line going through a circle connecting two opposite edges on a circle and passing through the center of a circle. By its definition, the diameter is always twice the radius of a circle.

As one can see in the rectangle, the side of the rectangle is made of the diameter of the circle. Since the diameter of a circle is twice the radius, one must multiply the radius by (2), then multiply that value by the length of the rectangle to find the area of the rectangle,

[tex]A=(length)(width)\\[/tex]

Substitute,

[tex]A_r=(length)(2(radius))\\A_r=(14)(2(5))[/tex]

Simplify,

[tex]A_r=(14)(2(5))\\A_r=(14)(10)\\A_r=140[/tex]

3. Find the area of the semi-cricle

Now one has to find the area of the semi-circle. Since a semi-circle is half of a circle, one must divide the formula to find the area of a circle by (2) in order to find the area of a semi-circle. Remember parameter (r) represents the radius, and ([tex]\pi[/tex]) represents the numerical value (3.1415...)

[tex]A=\frac{(\pi)(r^2)}{2}[/tex]

Substitute,

[tex]A_s=\frac{(\pi)(5^2)}{2}[/tex]

Simplify,

[tex]A_s=\frac{(\pi)(5^2)}{2}\\A_s=\frac{(\pi)(25)}{2}\\A_s=12.5\frac{(\pi)}{2}\\A_s\approx19.635[/tex]

4. Find the total area

To find the total area of the figure, one must add up the two components, add the area of the rectangle to the area of the semi-circle,

[tex]A=A_r+A_s\\[/tex]

Substitute,

[tex]A=140+19.635[/tex]

Simplify,

[tex]A=159.635[/tex]

[tex]A\approx 159.6[/tex]

Answer:

55

Step-by-step explanation:

all of the angles in a triangle ALWAYS add up to 180 degrees.

do the math.

Answer:

y = 1/2 x + 9

Step-by-step explanation:

y = 1/2 x + b

4 = (1/2)(-10) + b

4 = -5 + b

b = 9

Answer:

7 × 5 :2 it is the answer ,i love you

Answer:

900,900 outcomes are possible.

Step-by-step explanation:

Arrangements with repetition:

The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:

[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]

A dancing competition has 13 competitors

This means that [tex]n = 13[/tex]

Four are American, two are Mexicans, four are Russians and three are Italians.

This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]

How many outcomes are possible?

[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]

900,900 outcomes are possible.

Answer:

54 is the answer

have a great dayyyy

Answer:

there are 64 feet in18 yards

Step-by-step explanation:

1 yard equals 3 feet

Answer:

1/25

Step-by-step explanation:

P of both answers are correct =

P first question is answered correct and P second question is answered correct

in probability,  and = multiplication

P first question is answered correct =1 correct answer/5 possible answers =1/5

P second question is answered correct = 1/5

P of both answers are correct = (1/5) · (1/5) = 1/25

Answer:

Step-by-step explanation:

BC=[tex]\sqrt{5^2+5^2}[/tex]

x   =[tex]\sqrt{50}[/tex]

x   = 5[tex]\sqrt{2}[/tex]

tan theta= 5/5

      theta= tan^-1 (5/5)        

                =45°

Step-by-step explanation:

BC=\sqrt{5^2+5^2}52+52

x   =\sqrt{50}50

x   = 5\sqrt{2}2

tan theta= 5/5

      theta= tan^-1 (5/5)        

                =45°

Answer:

[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]

Answer:

b+23≥-276

b≥-276-23

b≥-299

Step-by-step explanation:

hope this is helpful

Answer:

1

Step-by-step explanation:

The average rate of change is the gradient _

Gradient = Rise / Run = (y2 - y1) / (x2 - x1)

From the table ;

x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0

Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1

Answer:

3x +3

Step-by-step explanation:

3x + 1 + 2units(on the x axis)= 3x +3