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3 years ago

What is the Square root of 81

Mathematics

2 answers:

Ksivusya [100]3 years ago

7 0

9x9=81 so the square root is 9

Alexeev081 [22]3 years ago

6 0

The answer is 9, hope this helps

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Earth, Mars, Saturn, Uranus and Neptune revolve around the sun. Earth takes 1 year, Mars 2 years, Saturn 30 years, Uranus 84 yea

Anettt [7]

Answer:

30 years

Step-by-step explanation:

2 is a factor of 30, so the LCM of 2 and 30 is 30.

Saturn and Mars will appear in the same direction in the night sky every 30 years.

3 0

3 years ago

Please see attachment

Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

Step-by-step explanation:

Step(i):-

Given function

$f(x) = \frac{-x}{2x^{2} +1}$ ...(i)

Differentiating equation (i) with respective to 'x'

$f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }$ ...(ii)

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }$

Equating Zero

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$2 x^{2}-1 = 0$

$2 x^{2} = 1$

$x^{2} = \frac{1}{2}$

$x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }$

Step(ii):-

Again Differentiating equation (ii) with respective to 'x'

$f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }$

put

$x = \frac{1}{\sqrt{2} }$

$f^{ll} (x) > 0$

The absolute minimum value at $x = \frac{1}{\sqrt{2} }$

Step(iii):-

The value of absolute minimum value

$f(x) = \frac{-x}{2x^{2} +1}$

$f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}$

on calculation we get

The value of absolute minimum value = - 0.3536

Final answer:-

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

3 0

3 years ago

A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of x

telo118 [61]

Answer:

16 degrees

Step-by-step explanation:

62= 46+x

16=x

5 0

3 years ago

After taxes, Liza makes $2,185.76 each month. From that, she has to pay three bills. For the last month, one bill is for $73.49,

Taya2010 [7]

Answer:

the amount left to spend is $740.77

Step-by-step explanation:

The computation of the amount left to spend is as follows:

= Each month payment - last month payment bills

= $2,185.76 - $73.49 - $897.19 - $474.31

= $740.77

Hence, the amount left to spend is $740.77

We simply deduct three amount bills from the each month payment

3 0

3 years ago

Find the limit. limx→−6 √4x+45

Simora [160]

If
$lim \: x -> - 6 \: \: (\sqrt{4x + 45} ) \\$
$= \sqrt{21}$

Just replace x for (-6)

8 0

3 years ago