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2 years ago

Please help me with my work

Mathematics

2 answers:

lord [1]2 years ago

4 0

Answer:

...................... I'll try

slavikrds [6]2 years ago

3 0

Derslerinde başarılar dilerim

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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

Can somebody please help me? asap

Margarita [4]

Y= 2 slope= -3 this should be right.

6 0

3 years ago

Square PQRS is transformed as shown on the graph.

Taya2010 [7]

Answer:

the answer is a

Step-by-step explanation:

took test and got it right

5 0

3 years ago

Help pleaseee! Greatly appreciated if you do

IRINA_888 [86]

36% of 24..... or 0.36 times 24= 8.64
22% of 24......or 0.22 times 24= 5.28

8.64-5.28= 3.36. D.

6 0

3 years ago

PLEASE HELP!!

VladimirAG [237]

Answer:

Sphere Volume = (4/3) * PI * radius^3

radius = cube root (Sphere Volume) / (4/3)*PI

radius = cube root (5,600) / (4/3)*PI

radius = 11.016 cm

radius = 11 cm (rounded)

Answer is B

Step-by-step explanation:

4 0

3 years ago