The smallest x-ray has a wave length of 5.9 x 10^-8 meters
The largest infrared light wave length is about 9.8.x 10^-7 meters.
Subtract these weve lengths to see how much larger the wavelength of infared lights is than an X-ray.

Answer: The second one

Step-by-step explanation:

1/2n+3<5

1/2n<2

n<4

How to Divide Decimals

Move the decimal point in the divisor and dividend. ...

Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.

7p = - 42

p = -42/7

p = - 6

lol

Answer:

Number of times Jenna feeds her cat = 2

Cat food each time

Number of days = 5

Number of cans she bought = 8

Step-by-step explanation:

Required food for each time  

Jenna feeds her cat twice a day

Required food for a day

Required food for 5 days  

Since, 7.5 cans < 8 cans, therefore, Jenna did buy enough cat food for her cat.

Answer:

x=-4544

Step-by-step explanation:

- 71 = x/64

Multiply each side by 64

- 71 *64 = x/64 *64

x=-4544

Answer:

x=−4544

Step-by-step explanation:

Answer:

-14x+4

Step-by-step explanation:

So the first set of paranthese don't really matter so you can rewrite it to this

-7+6-(-2x+9x-2)

Then  infront of the ( there is a - which means a -1. Now just do the disbutive property.

-7x+6+2x-9x+2

Now add like terms and you get your finial answer!

-14x+4

Answer:

0.03215.

Step-by-step explanation:

Answer: The number of crates  needed to store all the toys the warehouse received = [tex]12^4= 20736[/tex]

Step-by-step explanation:

Given: Total number of toys = [tex]12^7[/tex]

Number of toys in one crate = [tex]12^3[/tex]

The number of crates  needed to store all the toys the warehouse received.

= (Total number of toys) ÷ (Number of toys in one crate)

[tex]=12^7\div 12^3 = 12^{7-3}\ \ \ [a^m\div a^n=a^{m-n}]\\\\=12^4[/tex]

Hence, the number of crates  needed to store all the toys the warehouse received = [tex]12^4= 20736[/tex]

Answer:

12^4 or 20736

Step-by-step explanation:

Since the warehouse has 12^7 toys and you need to find how much crates that can fit 12^3 toys will store all the toys, you must divide 12^7 by 12^3.

When dividing radical expressions, remember:

a^3/a^2=a^1    This kind of acts like subtracting the squared number

a^3 * a^2 = a^5    This kind of acts like adding the squared number

(a^3)^2 = a^6    This kind of acts like multiplying the squared number

Therefore, if you use the methods above, 12^7 / 12^3 = 12^4

12^4= 20736

Answer:

cross multiply so it becomes 8x=18 then divide both sides by 8 and x= 2 2/8

Step-by-step explanation:

Answer:

Actually, it's 324670

Step-by-step explanation:

Answer:

I THINK A AND E

Step-by-step explanation:

Answer:

function

Step-by-step explanation:

every x value has only 1 y value

The answer to this is true

Answer:

8 doesn't go into 108n but 9 and 12 do.

Step-by-step explanation:

hope this helps! if i doesn't can u please clarify the question more and then i will help u

If you have to use 8 one time it if physically impossible, However if not you can do 6x6x3

Answer:

-1, 4, 11, 13

Step-by-step explanation:

the range of the function is the y values in this scenario, which are the second numbers of the original points given

Answer: After 72 weeks they will be in the port at the same time.

Step-by-step explanation:

Given, Total ships = 4

The first one leaves and comes back every 3 weeks, the second one every 9 weeks, the third one every 12 weeks, and the fourth every 24 weeks .

So, the number of weeks they will take to  be in  the port at the same time = L.C.M. (3, 9, 12 , 24)   (L.C.M. = least common multiple)

Since, 9= 3 x 3

12 = 2 x2 x 3

24 = 2 x 2x 2 x3

then, L.C.M. (3, 9, 12 , 24)= 2 x 2x 2 x 3 x3 =72

Hence after 72 weeks they will be in the port at the same time.

Answer:

Fraction: 89/250

Percentage:35.6%

Step-by-step explanation:

Answer: [tex](\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .[/tex]

Step-by-step explanation:

Transformation rule for dilation:

[tex](x,y)\to(kx,ky)[/tex] , where k = scale factor

Given : Scale factor = [tex]-\dfrac13[/tex]

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)

Vertices after dilation:

[tex](-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)[/tex]

[tex](0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)[/tex]

[tex](6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)[/tex]

[tex](3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)[/tex]

Hence, the coordinates of the image if the parallelogram = [tex](\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .[/tex]

Answer:

40

Step-by-step explanation:

Answer:yz

Step-by-step explanation:

Answer: B: each electrician charges a different base fee

Step-by-step explanation:

Answer:

b.Each electrician charges a different base fee:

Explanation:

Each of the equations has two parts:

1- base fee that is independent of any variable (this would be the number that has no variable next to it)

2- an hourly rate depending on the number of hours x (this would be the number that has an x next to it)

For the first electrician:

y = 25x + 30

base fee = $30

hourly rate = $25

For the second electrician:

y = 30x + 25

base fee = $25

hourly rate = $30

For the third electrician:

y = 25x + 20

base fee = $20

hourly rate = $25

Now, let's check the choices:

a.Each electrician charges a different hourly rate:

This is incorrect as electricians 1 and 3 charge the same hourly rate ($25)

b.Each electrician charges a different base fee:

This is correct as all three base fees are different ($30, $20 and $25)

c.All three electricians charge the same hourly rate:

This is incorrect as electrician 2 has a different hourly rate

d. All three electricians charge the same base fee:

This is incorrect as the base fees for the three electricians are different ($30, $25 and $20)

Answer:

rotation

Step-by-step explanation:

tis is a rotation around line x=y

Answer:

The correct option is;

E) For each hundred-thousand dollar increase in the listing price, the sales price is predicted to increase by $101,000

Step-by-step explanation:

Whereby the relationship between the actual price of a strip mall and the listing price is modeled according to the least squares regression line as follows;

C = 0.2 + 1.01·L

Where;

L = The listing price

C = The sales price

Where both amounts are in hundred-thousands of dollars;

Therefore, given that the slope is 1.01, we have that for an increase of $100,000 for the listing price, L, which is 1 unit increase the sale price increases as follows

C₁ = 0.2 + 1.01 × 1 = 1.21

While for an increase of an extra $100,000, to make the listing price. $200,000 or 2 units, we have;

C₂ = 0.2 + 1.01 × 2 = 2.22

The increase is C₂ - C₁ = 2.22 - 1.21 = 1.01

C₂ - C₁ = $100,000 × 1.01 = $101,000

The increase is C = $101,000

Whereby, the equation is a linear regression line which is a model for prediction, we have;

The predicted increase in the sale price is $101,000 for each $100,000 increase in the listing price.

Answer:

6

Step-by-step explanation:

2*3=6

I did the test

Answer:

30 movies in 5 months

102 movies in 17months

192 movies in 32 months

Answer:

x = 6, -6

Step-by-step explanation:

-x^2 = -36

~Take the square root of both sides

x = ±6

Best of Luck!

Answer:

The slope of this line equals 2.

Hope this helps :)

Step-by-step explanation:

Answer:

y=-1/4x +3

Step-by-step explanation:

See the attached above.

Hope it helps :-)