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3 years ago

Simplify (6x^-2)^2(0.5x)^4 show work please

Mathematics

2 answers:

tester [92]3 years ago

4 0

(6x^-2)^2(0.5x)^4 = (6^2)(x^-2(2))(1/2)^4(x^4) = 36x^-4(1/16x^4) = (36/16)x^(-4+4) = 9/4

Darina [25.2K]3 years ago

3 0

Answer:

$(6x^{-2})^2(0.5x)^4=\frac{9}{4}$

Step-by-step explanation:

The given equation is:

$(6x^{-2})^2(0.5x)^4$

Simplifying the above given equation, we get

= $(36x^{-4})(\frac{1}{2}x)^4$

= $36x^{-4}(\frac{1}{16})x^4$

= $\frac{36}{16}x^{-4+4}$

= $\frac{36}{16}$

= $\frac{9}{4}$

Thus, $(6x^{-2})^2(0.5x)^4=\frac{9}{4}$

which is the requires simplified form.

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larisa86 [58]

Distance formula

$\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

Now

$\\ \tt\Rrightarrow AB=\sqrt{(3-3)^2+(-2-8)^2}=\sqrt{100}=10units$

$\\ \tt\Rrightarrow OK=\sqrt{(5-7)^2+(-2+2)^2}=\sqrt{4}=2units$

$\\ \tt\Rrightarrow LM=\sqrt{(-4-4)^2+(6+4)^2}=\sqrt{64+100}=\sqrt{164}\approx 13units$

$\\ \tt\Rrightarrow PC=\sqrt{(5-2)^2+(1-3)^2}=\sqrt{9+4}=\sqrt{13}=3.2units$

$\\ \tt\Rrightarrow QR=\sqrt{(-2+10)^2+(3-9)^2}=\sqrt{64+36}=\sqrt{100}=10units$

8 0

3 years ago

Read 2 more answers

Annette is surveying people in the city about a new shopping mall. She found out that 180 people, or 37.5% of people do not want

Leokris [45]

Answer:

480 people

Step-by-step explanation:

Set up an equation where x is the number of people surveyed:

180 = (x)(0.375)

Solve for x:

180 = (x)(0.375)

480 = x

So, Annette surveyed 480 people

4 0

3 years ago

Find the dimensions of the rectangular box with largest volume if the total surface area is given as 64cm^2

motikmotik

Let x =lenght, y = width, and z =height
The volume of the box is equal to V = xyz 
Subject to the surface area 
S = 2xy + 2xz + 2yz = 64 
= 2(xy + xz + yz) 
= 2[xy + x(64/xy) + y(64/xy)] 
S(x,y)= 2(xy + 64/y + 64/x) 
Then 
Mx(x, y) = y = 64/x^2 
My(x, y) = x = 64/y^2 
y^2 = 64/x 
(64/x^2)^2 = 64 
4096/x^4 = 64/x 
x^3 = 4096/64 
x^3 = 64 
x = 4 
y = 64/x^2 
y = 4 
z= 64/yx 
z= 64/16 
z = 4 

Therefor the dimensions are cube 4.

6 0

4 years ago

a deli offers up 12 different toppings on their sub sandwiches. How many different 4-topping sandwiches are possible?

jek_recluse [69]

Answer:

There are 3 because 12 divided by 4 is 3.

Step-by-step explanation:

8 0

3 years ago

Not if this correct????

Ilia_Sergeevich [38]

Step-by-step explanation:

(o, -2) is the correct answer because in -90°

P [x,y] =P' [y,-x ]

hope it is helpful to you

5 0

3 years ago