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]

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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

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Answer:

X=3

Step-by-step explanation:

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Answer:

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Find the ‘exact’ perimeter of each triangle

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Answer:

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

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

Cleo bought a computer for $1,495. What will it be worth after depreciating for 3 years at
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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.

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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.

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Find the area and perimeter of a rectangle.
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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

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2 × (2x + 8) =

4x + 16

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]

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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

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Answers

Answer:

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Step-by-step explanation:

Reverse solve for a perfect Square

(b/2a)^2=36

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

(b/8)^2=36

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Answers

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

Given the following data:

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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.

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

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Answers

Answer:

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Step-by-step explanation:

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Then add

Use multiplication table if you have difficulty with multiplying

Ex

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-2x  4x^2  -10x

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Then add them all to get the full expression

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Answers

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Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

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

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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.

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Answers

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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]

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

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

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C

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

Step-by-step explanation:

On edge

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Answers

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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.

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Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

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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

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5y+3y=8y so

8y+3x

same thing for the other one so the answer is:

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Giving right answer branleist

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Answer:

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PLEASE HELP WHOEVER HELPS WILL GET A COOKIE

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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

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Step by Step

Answers

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Step-by-step explanation:

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]

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

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Answer:

Step-by-step explanation:

then simplify

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

Answers

Answer: Isaac Newton and Gottfried Leibniz.

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Isaac Newton and Gottfried Leibniz

What is the domain and range written in inequalities?

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

Answers

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Step-by-step explanation:

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Answers

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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

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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.

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Let us convert 10% into decimal.

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

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