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3 years ago

Plz ASAP Which expression is equivalent to -8

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

8 0

Answer:

Option "B" is the correct answer to the following question.

Step-by-step explanation:

$(\frac{-1}{2} )^{-3}$

-2\times -2\times -2

$(\frac{1}{a} )^{-m}= a^m$

So,

$(\frac{-1}{2} )^{-3} = (-2)^3\\\\(-2)^3 = -2\times -2\times -2\\\\ -2\times -2\times -2=-8$

Therefore, Option "B" is the correct answer

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please show on graph (with x and y coordinates) state where the function x^4-36x^2 is non-negative, increasing, concave up

babunello [35]

Answer:

$y'' =12x^2 -72=0$

And solving we got:

$x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}$

We can find the sings of the second derivate on the following intervals:

$(-\infty$ Concave up

$x=-\sqrt{6}, y =-180$ inflection point

$(-\sqrt{6}$ Concave down

$x=\sqrt{6}, y=-180$ inflection point

$(\sqrt{6}$ Concave up

Step-by-step explanation:

For this case we have the following function:

$y= x^4 -36x^2$

We can find the first derivate and we got:

$y' = 4x^3 -72x$

In order to find the concavity we can find the second derivate and we got:

$y'' = 12x^2 -72$

We can set up this derivate equal to 0 and we got:

$y'' =12x^2 -72=0$

And solving we got:

$x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}$

We can find the sings of the second derivate on the following intervals:

$(-\infty$ Concave up

$x=-\sqrt{6}, y =-180$ inflection point

$(-\sqrt{6}$ Concave down

$x=\sqrt{6}, y=-180$ inflection point

$(\sqrt{6}$ Concave up

8 0

2 years ago

Triangle △ABC is reflected across line n to create △ A'B'C', What is the measure of ∠C?

Ilya [14]

The measure of ∠C is 54°.

<h3>To solve the problem :</h3>

let us assume that line n is a mirror.

∴ ∠A = ∠A' = 59°

∠B = ∠B' = 67°

∠C = ∠C'

According to property of triangles :

Sum of all angles of a triangle is 180°.

∴ A + B + C = 180°

59 + 67 + C = 180

C = $180 - (59 +67)$

C = 54°

<h3>∴ The measure of ∠C is 54°.</h3>

To know more about triangles refer to :

brainly.com/question/1620555

#SPJ2

6 0

2 years ago

PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST.

Elena-2011 [213]

Answer:

1007

Step-by-step explanation:

The volume of the cylindrical storage tank is : π·40(squared)·60 = approximately 302000.

The volume of a rectangular prism is : 5 x 6 x 10 = 300

To catch all the leaking liquids, you need : 302000 : 300 = 1006.6666667 (round to 1007) rectangular prisms

4 0

2 years ago

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Use the distributive property to write an equivalent expression without parentheses.

Naya [18.7K]

The expression 9(a) equals 72

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2 years ago

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Timothy makes a round chocolate cake. She wants to put a cream layer on cake. If the cake is 6 cm in diameter, how many square c

Misha Larkins [42]

The answer is 28.27 cm because the formula for area of a circle is A= $\pi$ *r^2. Hope this helped!