The distance from Earth to the Moon is approximately 240,000 mi.. The speed of light is 3.00 * 10^8 m/s. How long does it take for light to travel from Earth to the Moon and back again?. Please Show work.

Answers

Answer 1
Answer: First we have to convert miles to meters:
1 mile ≈ 1,609.34 m
Time of traveling one way:
t = (240,000 * 1,609.34m)/(3.00*10^(8)m/s ) = \n = (8*10 ^(4) *1,609.34s)/(10 ^(8) ) = (8*1,609.34 s)/(10,000) = 1.28 s
From Earth to the Moon and back time is:   2 · 1.28 s = 2.56 s
 

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The cost in dollars, y, of a large pizza with x toppings from Pat’s Pizzeria can be modeled by a linear function. A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50. What is the cost of a pizza with 5 toppings? Round to the nearest penny.

Answers

Answer:

The cost a pizza with 5 toppings is $22.75

Step-by-step explanation:

Consider the provided statement.

It is given that A large pizza with no toppings costs $14.00.

A large pizza with 2 toppings costs $17.50.

We can translate the problem and given into data points: (0, 14) and (2,17.50)

Where x coordinates represents the toppings and y is the cost.

Now the use the point-slope form: y - y_1 = (y_2-y_1)/(x_2-x_1) (x-x_1)

Substitute the respective values.

y - 14 = (17.50-14)/(2-0) (x-0)

y - 14 = 1.75 (x)

y= 1.75x+14

Hence, the required equation isy= 1.75x+14

Now find the cost of pizza with 5 toppings by substituting x=5 in above equation.

y= 1.75(5)+14

y= 8.75+14

y= 22.75

Hence, the cost a pizza with 5 toppings is $22.75

First find how much one topping is: subtract the L price from the L2T price: 17.50-14=3.50. Divide by 2: 3.50/2=1.75. Multiply by 5: 1.75•5=8.75. Add the topping cost to the L pizza cost: 8.75+14=22.75. $22.75 :)

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = m(x - 1). What is the slope-intercept form of the equation for this line? A) y = 2/3x + 2 B) y = x - 4 C) y = (2x + 2) / 2 D) y = -2x - 2

Answers

Answer:

m = (3 - (-2))/(1 - (-9)) = 5/10 = 1/2

y - 3 = (1/2)(x - 1)

y - 3 = (1/2)x - (1/2)

y = (1/2)x + (5/2)

Which transformation maps the pre-image to the image? A. dilation B. stretch C. reflection D. rotation

Answers

The figures' transformation maps the pre-image to the image is stretch .

What is pre-image to the image?

The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

According to question

Length of 1st figure = 8

Width of 1st figure = 4

Length of 2nd figure = 6

Width of 2nd figure = 4

as we can conclude that only length is change not breath

that means it is stretch .

Hence, Figures' transformation maps is stretch .

To know more about pre-image to the image here :

brainly.com/question/18159367

# SPJ2

Answer:

the answer is b. stretch.

Step-by-step explanation:

the side measure 4 is the same for the image as it is for the pre-image. the side measure 8 on the pre-image is 6 for the image. when only one measure changes its a stretch.

Mikey bought 4 of the 500 raffle tickets sold towin a new TV. What is the probability that he will
win the TV

Answers

Answer:

4/500

Step-by-step explanation:

A coin is to be tossed until a head appears twice in a row. What is the sample space for this experiment? If the coin is fair, what is the probability that it will be tossed exactly four times?

Answers

Answer:(2)/(16)

Step-by-step explanation:

if the coin is tossed four times then the possible sample space is formed  

S=\left \{ HH, THH, HTHH, TTHH, HTTHH, THTHH, TTTHH, ...\right \}

For the probability that the coin is tossed only four times is when

For tossing four times sample space is

S=( HHHH HHHT HHTH HHTT

HTHH HTHT HTTH HTTT

THHH THHT THTH THTT

TTHH TTHT TTTH TTTT )

out of the above required ones are HTHH,TTHH

so the probability is (2)/(16)

Factors of -36 that add to 13

Answers

To solve this problem follow the steps below.

Step 1:List out all of the factors for -36

-36: 1,2,3,4,6,9,12,18,36
       -1,-2,-3,-4,-6,-9,-12,-18,-36

Step 2: Start going through a process of guessing and checking (basically take any two factors and add them together to see if they equal 13)

1 plus 12=13
9 plus 4=13

Step 3:Check your calculations and make sure you didn't make any errors

13-12=1 and 13-1=12   
13-9=4    and  13-4=9

Answer: 1 and 12
               4 and 9

I hope this helps and if any false information was given I apologize in advance.