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3 years ago

7

Hi howww r uuuu allll

1 answer:

stich3 [128]3 years ago

8 0

Answer:

good now that i get free points!

Step-by-step explanation:

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Rates and ratios simalar

Alex777 [14]

Rate is closer to a constant pattern , example: I'm walking at a rate of 2 miles an hour.

Ratio is related to the proportion of two or more objects, example: The ratio for a perfect tang juice is 1 packet of tang dust thingy for 1.5 liters of water.

Hope it helps :)

4 0

3 years ago

Gina deposit $150 at the start of each year into a college savings account that pays 4% simple interest at the end of each year.

klemol [59]

150+(150 * 0.04)=156

3 0

3 years ago

D/d{cosec^-1(1+x²/2x)} is equal to

SIZIF [17.4K]

Step-by-step explanation:

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

$\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)$

Let assume that

$\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)$

We know,

$\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}$

So, using this, we get

$\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)$

Now, we use Method of Substitution, So we substitute

$\red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}$

So, above expression can be rewritten as

$\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)$

$\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)$

$\rm\implies \:y = 2z$

$\bf\implies \:y = 2 {tan}^{ - 1}x$

So,

$\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x$

Thus,

$\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)$

$\rm \: = \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)$

$\rm \: = \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)$

$\rm \: = \: 2 \times \dfrac{1}{1 + {x}^{2} }$

$\rm \: = \: \dfrac{2}{1 + {x}^{2} }$

<u>Hence, </u>

$\purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}$

<u>Hence, Option (d) is </u><u>correct.</u>

6 0

2 years ago

Y = x + 4 <br> 2x - 3y = -13

pashok25 [27]

Answer:

(1,5)

Step-by-step explanation:

2x-3(x+4)=-13 y=1+4

2x-3x-12=-13 y=5

-x-12=-13

+12

-x=-1/-1

x=1

6 0

2 years ago

What is the discriminant of the quadratic equation -x^2-x-8=0?

Nat2105 [25]

Answer:

-31

Step-by-step explanation:

See Image Below

8 0

2 years ago