The distance from the earth to the moon is 3.84 x 105 km
a) Find this distance in metres.
b) How long would it take a spaceship to travel to the moon from earth if its average speed was 400 ms l?​

The Distance From The Earth To The Moon Is 3.84 X 105 Kma) Find This Distance In Metres. B) How Long

Answers

Answer 1

Part (a)

Answer:  [tex]3.84 \times 10^8 \text{ meters}[/tex]

---------------------

Explanation:

Multiply by 1000 to go from km to meters.

This is because 1000 m = 1 km.

Multiplying by 1000 in scientific notation means we add 3 to the exponent 5. The 3 is because 1000 = 10^3.

So the [tex]3.84 \times 10^5 \text{ km}[/tex] becomes [tex]3.84 \times 10^8 \text{ meters}[/tex]

===========================================================

Part (b)

Answer in standard form:  960,000 seconds

Answer in scientific notation: [tex]9.6\times10^{5} \text{ seconds}[/tex]

---------------------

Work Shown:

[tex]\text{distance} = \text{rate}*\text{time}\\\\\text{time} = \frac{\text{distance}}{\text{time}}\\\\\text{time} = \frac{3.84 \times 10^8 \text{ meters}}{400 \ \text{ m}/\text{s}}\\\\\text{time} = \frac{3.84 \times 10^8}{4 \times 10^2} \text{ seconds}\\\\\text{time} = \frac{3.84}{4}*\frac{10^{8}}{10^2} \text{ seconds}\\\\\text{time} = 0.96 \times 10^{8-2} \text{ seconds}\\\\\text{time} = 0.96\times 10^{6} \text{ seconds}\\\\[/tex]

[tex]\text{time} = (9.6\times10^{-1})\times10^{6} \text{ seconds}\\\\\text{time} = 9.6\times(10^{-1}*10^{6}) \text{ seconds}\\\\\text{time} = 9.6\times10^{-1+6} \text{ seconds}\\\\\text{time} = 9.6\times10^{5} \text{ seconds}\\\\\text{time} = 960,000 \text{ seconds}\\\\[/tex]

To go from the scientific notation to standard form, move the decimal point 5 spaces to the right. The 5 is from the exponent.


Related Questions

3) Find BC С B 51° 27 390 A 15.0 O 17.0 17.5 18.5​

Answers

Answer:

your answer is

180-(51+39)=

180 - 90=90°

BC =90°

PLEASE HELP WHOEVER HELPS WILL GET A COOKIE

Answers

A: The plane is going 525 miles per hour.

B: In 13 hours the plane will travel 6,825 miles.

Answer:

(a)  [tex]\sf 450 \ miles \ per \ hour[/tex]

(b) 675 miles in [tex]\sf 1\frac{1}{2} \ hours[/tex]

explanation:

(a)

given time: [tex]\sf 4\frac{2}{3}[/tex]distance: 2,100

unit rate:

[tex]\sf \dfrac{total \ distance}{total \ time}[/tex]

[tex]\sf \dfrac{2100}{\sf 4\frac{2}{3}}[/tex]

[tex]\sf \dfrac{2100}{\sf \dfrac{14}{3}}[/tex]

[tex]\sf 450 \ miles \ per \ hour[/tex]

(b)

distance: speed * time

distance: [tex]\sf 450 \\[/tex] * [tex]\sf 1\frac{1}{2}[/tex]

distance: 675 miles

Which value of "b" will make the trinomial 4x^2 + bx + 36 a perfect square trinomial? 0 24 O 6 O 12 O 4​

Answers

Answer:

48

Step-by-step explanation:

Reverse solve for a perfect Square

(b/2a)^2=36

(b/2(4))^2=36

(b/8)^2=36

b/8=6

b=48

48 makes the trinomial a perfect square trinomial.

Determine if the sequence below is arithmetic or geometric and determine the common difference ratio in simplest form. 11,7,3

Answers

The sequence is Arithmetic

d = -4

if A+B= 45° then prove that: tanA+ tanB+ tanA. tanB​

Answers

Answer:

See Explanation

Step-by-step explanation:

[tex]A+B= 45 \degree \\ \\ assuming \: \tan \: on \: both \: sides \\ \\\implies \: \tan( A+B)= \tan 45 \degree \\ \\ \implies \: \tan( A+B)= 1 \: \: \\ ( \because \: \tan 45 \degree = 1) \\ \\ \implies \: \frac{\tan \: A +\tan \: B }{1 - \tan \: A .\tan \: B } = 1 \\ \\ \implies \: \tan \: A +\tan \: B = 1 - \tan \: A .\tan \: B \\ \\ \purple{ \implies }\: \orange{ \bold{\tan \: A +\tan \: B + \tan \: A .\tan \: B= 1 }} \\ \\ thus \: proved[/tex]

Please help me I don't understand how to do it

Answers

Step-by-step explanation:

first, get a piece of tracing paper. then, place it on the grid and copy the shape and the point of rotation. then, place your pen on the point of rotation and rotate the paper 180°. then copy the shape to its new position on the grid. then move the shape 4 units left by counting 4 squares on each vertex and moving it. lastly, find the coordinates of point

Nicholas has 28 more red peppers than green peppers. In all, he has 62 peppers. How many red peppers does Nicholas have?

Answers

Answer:Nicholas has 34 red peppers.

Calculate the circumference and area of this circle. ​

Answers

Answer:

circumference 69.08 area 379.94

Step-by-step explanation:

Quadrilateral ABCD is inscribed in this circle,
What is the measure of Enter your answer in the box.

Answers

where’s the picture? i can’t answer it without seeing the measurements

4.55 is what percent of 6.5? Enter your answer in the box. ​

Answers

Answer: 70%

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

Find the area and perimeter of a rectangle.
the length is x+6 the width is x+2

Answers

Answer:

Area = x² + 8x + 12Perimeter = 4x + 16

Step-by-step explanation:

The area of a rectangle is given by the formula:

Area=width×height

The perimeter of a rectangle is given by the formula

Perimeter=2(width+height)

Area

(x + 6) × (x+2) =

x² + 2x + 6x + 12

x² + 8x + 12

------------------

Perimeter

2 × (x + 6 + x + 2) =

2 × (2x + 8) =

4x + 16

jonah bought 3 packs of hotdogs

Answers

Step-by-step explanation:

[tex] \sqrt{a {}^{2} } + 24 - 4 = a [/tex]

What is the domain and range written in inequalities?

I believe the domain is all real numbers but I need the range.

Answers

Answer:

Range => y ≤ -2

Domain => All real numbers

Step-by-step explanation:

As it extends horizontally either way, domain can be any possible value.

Whereas it only extends from -2 towards the bottom, therefore the range will be less than or equal to -2.

What is the slope of the line that passes through the points (-9, -2) and (-9,-6 )? Write in simplest form

Answers

Hello.

There are really 2 ways to think about the given problem.

First, we can use the slope formula:

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{-6-(-2)}{-9-(-9)} =\frac{-6+2}{-9+9} =\frac{-4}{0} =[/tex]

Slope = undefined

The second way is to just take a look at the points.

You should notice that the x-coordinates are the same.'

If the x-coordinates are the same, then the slope is

[tex]\Large\boxed{Und.efined}}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

undefined

Step-by-step explanation:

the x-coordinates are the same look

Cleo bought a computer for $1,495. What will it be worth after depreciating for 3 years at
a rate of 16% per year?

Answers

After 3 years of depreciation at a rate of 16% per year, the computer will be worth $886.93.

To determine the value of Cleo's computer after depreciating for 3 years at a rate of 16% per year, we need to calculate the depreciation amount for each year and subtract it from the original value.

First, let's calculate the depreciation for one year. The depreciation amount is obtained by multiplying the original value by the depreciation rate: $1,495 * 0.16 = $239.20.

After the first year, the value of the computer would be $1,495 - $239.20 = $1,255.80.

Now, we need to repeat this process for the next two years. For the second year, the depreciation amount would be $1,255.80 * 0.16 = $200.93. Subtracting this from the value after the first year gives us $1,055.87.

For the third year, the depreciation amount would be $1,055.87 * 0.16 = $168.94. Subtracting this from the value after the second year gives us $886.93.

For more such question on depreciation. visit :

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Triangle has vertices D(1, 2), E(0, 4), and

F(1, –1). Find the coordinates of the triangle

after a dilation with a scale factor of 3.

Answers

Answer: D'(3, 6), E'(0, 12), F'(3, -3)

Step-by-step explanation:

X + 2 = 5, what is the value of x?

Answers

Answer:

X=3

Step-by-step explanation:

take 2 to right side 2 becomes negative subtract 5-2To get 3

Answer:

answer is x = 3

Step-by-step explanation:

x + 2 = 5 , x = 5 - 2

x = 3

Giving right answer branleist

Answers

Answer:

The slope is 11/5 or 2.2, gimme that brainliest

A basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 25t – 16t2. If the ball was on a path to reach the net 1. 7 seconds after the shooter launches it, does the leaping player block the shot? yes, exactly 0. 6 seconds after the shot is launched yes, between 0. 64 seconds and 0. 65 seconds after the shot is launched yes, between 0. 84 seconds and 0. 85 seconds after the shot is launched no, shot not blocked.

Answers

The shot was blocked between 0.84 and 0.85 seconds after the shot is launched.

what will be the time in which the blocker will block the ball?

The given equation for ball height

[tex]=6+30t-16t^{2}[/tex]

The equation for the blocker's height will be

[tex]=9+25t-16t^{2}[/tex]

But, the shot is made before two-tenths of a second or 0.2 seconds therefore modified equation for ball height is

[tex]=6+30(t-0.2)-16(t-0.2)^{2}[/tex]

Now for the shot to be blocked, the height of the shot-blocker must be greater than the height of the ball which is shot before 0.2 seconds :

[tex]9+25t-16t^{2} \geq 6+30(t-0.2)-16(t-0.2)^{2}[/tex]

[tex]9+25t-16t^{2} \geq6+30t-6-16(t^{2} -0.4t+0.04)[/tex]

[tex]9+25t-16t^{2} \geq30t-16t^{2} -6.4t+0.64[/tex]

[tex]9+25t\geq36.4t-0.64[/tex]

[tex]9.64\geq11.4t[/tex]

[tex]t \leq \dfrac{9.64}{11.4}=0.846[/tex]

Thus the shot was blocked between 0.84 and 0.85 seconds after the shot is launched.

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Answer:

C

shot was blocked between 0.84 and 0.85 seconds after the shot is launched.

Step-by-step explanation:

On edge

Find an expression which represents the sum of (6x-4)(6x−4) and (-2x+5)(−2x+5) in simplest terms

Answers

Answer:

40x^2-68x+41

Step-by-step explanation:

Multiply both expressions

(-2x+5)^2=  4x^2-20x+25

(6x-4)^2=36x^2-48x+16

Then add

Use multiplication table if you have difficulty with multiplying

Ex

      -2x       5

-2x  4x^2  -10x

5     -10x    25

Then add them all to get the full expression

8x+4=4(2x+1)

Solve for X

Step by Step

Answers

Answer:

6x+5 that's the answer what I have

Simplify each algebraic expression by combining like terms.


2x + 5y + 6x - 5x + 3y




x2 + 2x + 3x2 + 4x - 2x2 + x

Answers

3x + 5y is for the first one

Answer:

2x^2+7x and 8y+3x

Step-by-step explanation:

Okay for the first one when you combine like terms you are adding the ones with the same terms so the ones that have X in it you add, the one with Y you add so it would be

2x+6x=8x ----> 8x-5x=3x

5y+3y=8y so

8y+3x

same thing for the other one so the answer is:

2x^2+7x

SIMPLIFY!!!!!!!! HELPPPPPP!!!!!

(10a^4b^6)(3a^5b^2) -7a^9b^8

Answers

Answer:

Step-by-step explanation:

then simplify

2i ² * 3i
what is the answer???

Answers

Answer:

12i

Step-by-step explanation:

2i×2i=4i

4i×3i=12i

Aiko is finding the sum (4 5i) (–3 7i). She rewrites the sum as (–3 7)i (4 5)i. Which statement explains the error Aiko made by using a mathematical property incorrectly?.

Answers

Answer:

Distribute Property

Step-by-step explanation:

In the first expression, 7 is the only coefficient of i in the second term, and 5 is the only coefficient of i in the first term. The rewritten sum would simplify to -3i +7i +4i+5i.

Find the ‘exact’ perimeter of each triangle

Answers

Answer:

The missing degree is 60, but the perimeter is 11 cm.

I hope this is correct, if it's incorrect, I'm sorry

what is the mode of the following data: 52 bowls of spaghetti, 37 bowls of cereal, 14 sandwhiches, and 17 personal pizzas

Answers

The mode of the given data is equal to bowls of spaghetti.

Given the following data:

Bowls of spaghetti = 57.Bowls of cereal = 37.Quantity of sandwiches = 14.Personal pizzas = 17.

What is mode?

In Mathematics, a mode can be defined as a statistical terminology that is used to denote the value that appears most often or repeatedly occurring in a given data set.

This ultimately implies that, a mode represents the value (number) with the highest frequency. In this exercise, the bowls of spaghetti represents the mode of the given data.

Read more on mode here: https://brainly.com/question/542771

Who are two of the people credited with inventing calculus?.

Answers

Answer: Isaac Newton and Gottfried Leibniz.

Explanation: Today it is generally believed that calculus was discovered independently in the late 17th century by two great mathematicians

Isaac Newton and Gottfried Leibniz

please help i don’t understand

Answers

Answer:

D

Step-by-step explanation:

First of, let's make a table for y = cos(x)

(x , y): (0 , 1) (π/2 , 0) (π , -1) (3π/2 , 0) (2π , 1)

Now, making a table for y = 2cos(x) is simple. We just have to multiply all the y-values from the previous table by 2.

(x , y): (0 , 2) (π/2 , 0) (π , -2) (3π/2 , 0) (2π , 2)

Graphing these coordinates, we find that the answer is D.

A bike tire just ran over a nail, and it is losing pressure at a rate of 10% every minute. The tire pressure is currently 1,060 kilopascals. What will it be in 4 minutes?
If necessary, round your answer to the nearest tenth.

Answers

Answer:

4x10=40

It will lose 40% pressure after four minutes

It will lose 40% pressure after four minutes

What is exponential growth or decay function?

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

We have been given that a bike tire just ran over a nail, and it is losing pressure at a rate of 10% every minute. The tire pressure is currently 1,060 kilo-pascals. We are asked to find the tire pressure in 4 minutes.

We will use exponential decay formula to solve our given problem.

[tex]y = a(1\pm r)^m[/tex]

Let us convert 10% into decimal.

0.01

Initial value is 1,060 . Upon substituting our given values in above formula, we will get:

y = 1,060 (1 - 0.01)^4

Therefore, the tire pressure will be approximately 40% kilo-pascals in 4 minutes.

Learn more about exponential growth and decay here:

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