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2 years ago

Can someone help me with this problem

Mathematics

1 answer:

bonufazy [111]2 years ago

5 0

Answer:

105, 210, 315, 420, 525

Step-by-step explanation:

you add 105 each time (:

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There are 4 designd of necklaces available at a jewelry store. Each design is available in 3 types of stones. How many different

Ivahew [28]

Answer:

Step-by-step explanation

4 designes of necklaces

in 3 different stones

4x3= 12 DIFFERENT DESIGHNES

5 0

3 years ago

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

Alekssandra [29.7K]

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

Given expression is 

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

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

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

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

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

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

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

Hence, 

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

4 0

2 years ago

Simplify the following expression. log(x^4) -log(x^3)

Paraphin [41]

The answer would be log(x)

3 0

2 years ago

The same couple, what is the probability that if they have three children, two will be boys and one will be a

cricket20 [7]

3/8 would be the correct answer.

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2 years ago

(х-y)²-3(x-y) how do you factorise this equation?

Kazeer [188]

Answer:

(x-y)(x-y-3)

Step-by-step explanation:

(x-y)² - 3(x-y)

take (x-y) common,

(x-y)(x-y-3)

4 0

2 years ago