All categories

3 years ago

Estimate the sum or difference 4/5 4/7

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

3 0

I’m confused on what to do I’m not sure

You might be interested in

What’s the area of this triangle??

oksano4ka [1.4K]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

63 divided by 1,252

fiasKO [112]

The answer is 19.87302

5 0

3 years ago

Read 2 more answers

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

Hurry please, 20 points

nekit [7.7K]

Answer:

Step-by-step explanation:

Parallel slope = -8

Perpendicular slope = 1/8

5 0

3 years ago

Read 2 more answers

Arithmetic sequences ; basic algebra please help !

kramer

Step-by-step explanation:

an arithmetic sequence means that every new term is the old term plus a constant number.

in our case that constant is +50.

and our starting value a0 = 250

so, the first 4 terms are

$250, $300, $350, $400

for the function formula we know

a0 = $250

a1 = a0 + 50 = 250 + 50 = $300

a2 = a1 + 50 = a0 + 50 + 50 = a0 + 2×50 = $350

a3 = a2 + 50 = a0 + 3×50 = $400

so, we see

an = a0 + n×50 = 250 + 50n

therefore,

f(n) = 250 + 50n

after 9 months saving we reached a9, meaning n=9.

f(9) = 250 + 50×9 = 250 + 450 = $700

6 0

3 years ago