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Zolol [24]
3 years ago
15

Mercury, Venus, and Earth are the three planets closest to the Sun. Would their combined distance in km from the Sun be greater

or less than the distance from the sun to Neptune? Show your work and justify your answer.
Mathematics
1 answer:
suter [353]3 years ago
3 0

Answer:

Step-by-step explanation:

If you added all the fallowing planets mercury Venus and earth together itwould be greater than the distance from Neptune to the sun neptune is 2.759 billion miles away from the sun and the three others combined are 196.18 million.

I hope this helps

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Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1​]​
Alekssandra [29.7K]

\green{\large\underline{\sf{Solution-}}}

<u>Given expression is </u>

\rm :\longmapsto\:\dfrac{5 \times  {25}^{n + 1}  - 25 \times  {5}^{2n} }{5 \times  {5}^{2n + 3}  -  {25}^{n + 1} }

can be rewritten as

\rm \:  =  \: \dfrac{5 \times  { {(5}^{2} )}^{n + 1}  -  {5}^{2}  \times  {5}^{2n} }{5 \times  {5}^{2n + 3}  -  {( {5}^{2} )}^{n + 1} }

We know,

\purple{\rm :\longmapsto\:\boxed{\tt{  {( {x}^{m} )}^{n}  \: = \:   {x}^{mn}}}} \\

And

\purple{\rm :\longmapsto\:\boxed{\tt{ \:  \:   {x}^{m} \times  {x}^{n} =  {x}^{m + n} \: }}} \\

So, using this identity, we

\rm \:  =  \: \dfrac{5 \times  {5}^{2n + 2}  - {5}^{2n + 2} }{{5}^{2n + 3 + 1}  -  {5}^{2n + 2} }

\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1}  - {5}^{2n + 2} }{{5}^{2n + 4}  -  {5}^{2n + 2} }

can be further rewritten as

\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1}  - {5}^{2n + 2} }{{5}^{2n + 2 + 2}  -  {5}^{2n + 2} }

\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2}  - 1)}

\rm \:  =  \: \dfrac{4}{25 - 1}

\rm \:  =  \: \dfrac{4}{24}

\rm \:  =  \: \dfrac{1}{6}

<u>Hence, </u>

\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times  {25}^{n + 1}  - 25 \times  {5}^{2n} }{5 \times  {5}^{2n + 3}  -  {25}^{n + 1} }  =  \frac{1}{6} }}

4 0
3 years ago
Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 555 salamanders, 333 crayfish
Marat540 [252]

Answer:

<h3>1/4</h3>

Step-by-step explanation:

Given

amount of  salamanders, = 5

amount of crayfish = 3

amount of minnows = 12

Total fish = Total outcome = 5+3+12

Total outcome = 20

Since we are looking for the probability of selecting  salamanders, our expected outcome will be 5.

Probability = expected outcome/total outcome

Pr( salamanders,) = 5/20

Pr( salamanders) = 1/4

Hence the probability of selecting  salamanders, is 1/4

8 0
3 years ago
Read 2 more answers
Dylan is rollerblading along an 8 mile trail in the forest park she stopped for water after 2.4 miles. After another 3.1 miles,
mr_godi [17]

Add up the amount of miles she actually reached to

2.4 + 3.1 =

5.5 = miles already traveled

And then subtract it from the 8 mile trail

8 - 5.5 =

2.5 miles

About 2.5 or 3 miles (rounded to the tenth or whole number?)

4 0
3 years ago
Six times a number is greater than 20 more than that number. What are the possible values of that number?
densk [106]

Answer:

x>4

Step-by-step explanation:

first take 6*x (x is for a number) and you have 20+x. So put the inequality together and you get 6x>20+x

so then subtract x from both sides and you get 5x>20 then divide by 5 to isolate x and you get x>4.

so the possible value is any number greater than 4.

3 0
3 years ago
What number would you add to both sides of x2 + 7x = 4 to complete the square?
tamaranim1 [39]

Answer: (7/2)^2

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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