Find all the real square roots of 0.0064

Answers

Answer 1

Answer: $√(0.0064)$
=0.08

The square root of $√(0.0064)$ is 0.08

You can check by doing the opposite operation to square root, which is squaring.
$0.08^(2)$
=0.0064

Related Questions

A runner has a track lap of one minute while at a run, five minutes while at a jog, 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/2 at a jog and 1/10 at a walk what is the total track lap time of the runner. Write the solution as a mixed number or a fraction in lowest terms
Which of the following represents "Twice the abscissa increased by three times the ordinate is ten"?a.3x + 2y = 10 b.2y + 3x = 10 c.2x + 3y = 10
Which number is greater 0.45 or0.449
the average time it takes a swimmer to complete a lap is represented by the variable t. which set of numbers best describes the value of the variable?
Can anyone help me on this question ?

Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of radius 4

Answers

Answer:

The length and width that maximize the area are:

W = 2*√8

L = 2*√8

Step-by-step explanation:

We want to find the largest area of a rectangle inscribed in a semicircle of radius 4.

Remember that the area of a rectangle of length L and width W, is:

A = L*W

You can see the image below to see how i will define the length and the width:

L = 2*x'

W = 2*y'

Where we have the relation:

4 = √(x'^2 + y'^2)

16 = x'^2 + y'^2

Now we can isolate one of the variables, for example, x'

16 - y'^2 = x^'2

√(16 - y'^2) = x'

Then we can write:

W = 2*y'

L = 2*√(16 - y'^2)

Then the area equation is:

A = 2*y'*2*√(16 - y'^2)

A = 4*y'*√(16 - y'^2)

If A > 1, like in our case, maximizing A is the same as maximizing A^2

Then if que square both sides:

A^2 = (4*y'*√(16 - y'^2))^2

= 16*(y'^2)*(16 - y'^2)

= 16*(y'^2)*16 - 16*y'^4

= 256*(y'^2) - 16*y'^4

Now we can define:

u = y'^2

then the equation that we want to maximize is:

f(u) = 256*u - 16*u^2

to find the maximum, we need to evaluate in the zero of the derivative:

f'(u) = 256 - 2*16*u = 0

u = -256/(-2*16) = 8

Then we have:

u = y'^2 = 8

solving for y'

y' = √8

And we know that:

x' = √(16 - y'^2) = √(16 - (√8)^2) = √8

And the dimensions was:

W = 2*y' = 2*√8

L = 2*y' = 2*√8

These are the dimensions that maximize the area.

In a appropriate environment, guppies reproduce at an astounding rate. A population of reproducing guppies quadruples every month. How many Guppies will there be after 6 months if the beginning population is only 6 guppies?a)24,576
b)144
c)46,656
d)1,296

Please help! I don't understand!

Answers

Answer: a)24,576

Step-by-step explanation:

Given: A population of reproducing guppies quadruples every month.

The population of guppies in the beginning = 6

In First month, the population of guppies = $4*6=24$

In Second month, the population of guppies = $4*24=4*4*6=4^2\cdot6=96$

Continue like this,

In 6 months, the population of guppies = $4^6\cdot6=24576$

6x4=24 guppies 1st month
24x4=96 guppies 2nd mo.
96x4=384 ,3rd mo.
384x4=1,536, 4th mo.
1,536x4=6,144, 5th mo.
6,144x4=24,575, 6th mo.
So, A.

Tìm cực trị của hàm số y = 2x3 - 6x + 2.

Answers

Step-by-step explanation:

câu này 2x3 hay 2^3 vậy bạn

In the US Senate, there are 21 members on the Committee on Banking, Housing, and Urban Affairs. Nine of these 21 members are selected to be on the Sub-committee on Economic Policy. How many different committee structures are possible for this sub-committee?

Answers

Answer:

Possible committee structures = 293930

Step-by-step explanation:

The combination expression is used here

²¹C₉ = 21!/(9!(21−9)!) = 293930

What is the directrix of the parabola defined by 1/4(y 3)=(x-2)^2?

Answers

for
(x-h)^2=4p(y-k)
vertex=(h,k)
p=vertical distance from vertex to directix
when p is negative, the directix is above the vertex
when p is positive, the directix is below the vertex

(x-2)^2=1/4(y+3)
(x-2)^2=4(1/16)(y+3)
p=1/16
it's positive so we know directix is below vertex
vertex is (2,-3)
go 1/16 down
-3-1/16=-48/16-1/16=-49/16
directix is y=-49/16 aka y=-3.0625

Answer:

y=-49/16

Step-by-step explanation:

What is the answer to 8t-3=9

Answers

8t-3=9
Add 3 to both sides
8t=12
Divide 12 by 8
Final Answer: t=1.5

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