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frosja888 [35]
2 years ago
13

Look at these calculations.

Mathematics
2 answers:
Deffense [45]2 years ago
8 0

Answer:

None or 1499 + 287 I assume

myrzilka [38]2 years ago
3 0

Answer:

1545 + 287

odd man out

Step-by-step explanation:

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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
2 years ago
If f(x) = 4x - 6, what is f(6)?<br> A. 32<br> B. 3<br> o<br> C. 4<br> O D. 18
lesantik [10]

Answer:

18 is the correct answer

Step-by-step explanation:

to find f(6) you only need to put value 6 in place x and then simple  addotion subtraction

f(6)=4(6)-6

f(6)=24-6

f(6)=18

6 0
2 years ago
HELP. How long is the minor axis for the ellipse shown below?
evablogger [386]
16 because it is going to be
The minor
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3 years ago
How do you solve for "r" in the literal equation "I=Prt"
Mrac [35]
R=I/Pt
hopefully this helps
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2 years ago
7x2 - 4x +10+ 3x2 – 8
kupik [55]
Answer: 22-4x when you simplify it all.

8 0
3 years ago
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