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2 years ago

I need to know asap

Mathematics

1 answer:

Tomtit [17]2 years ago

4 0

Answer:

16/25 = 0.64

6/7 = 0.857142

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

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In a class of 32 students, the mean height of the 14 boys is 1.56 meters, the mean height of all 32 students is 1.515. Work out

vaieri [72.5K]

Answer:

I'm not sure but I did do it on a calculator so 1.515-1.56= -0.045

6 0

2 years ago

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

Alekssandra [29.7K]

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

<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

Write an equation in point slope form for the line that passes through the given point and is perpendicular to the graph of the

USPshnik [31]

Answer:

y=-3x-8

Step-by-step explanation:

y=1/3x+9

slope is 1/3

perpendicular slope = m

(m)(1/3) = -1

m = -3

Point slope form

(y+2)/(x+2)=-3

y+2=-3x-6

y=-3x-8

4 0

2 years ago

Help can someone check

Serjik [45]

The answer is A because if you multiply you’ll get 70°

6 0

2 years ago

Help me please. lesson 9.3 converse if the pythagorean theorem

mojhsa [17]

Answer:

acute

Step-by-step explanation:

Here are some helpful rules that will help you out in the future with these questions.

If...

a^2 + b^2 = c^2 its a right triangle

a^2 + b^2 < c^2 its obtuse

a^2 + b^2 > c^2 its acute

so...

Since 6+8>10

its acute

5 0

1 year ago