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victus00 [196]
3 years ago
8

Find the surface area of the sphere

Mathematics
1 answer:
Tresset [83]3 years ago
7 0

Answer:

\large\boxed{256\pi\ sq.in.}

Step-by-step explanation:

The formula of a surface area of a sphere:

S.A.=4\pi R^2

R - radius

We have R = 8 in. Substitute:

S.A.=4\pi(8^2)=4\pi(64)=256\pi\ in^2

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Determine the values of x when f(x)=40 for the function f(x)=2(x-3)^2-8
SpyIntel [72]

Answer:

x = 3 ± \sqrt{24}

or

x = 3 + \sqrt{24}, x = 3 - \sqrt{24}

Step-by-step explanation:

given f(x) = 2(x - 3)^2 - 8, find when f(x) = 40

So, we plug in 40 for f(x) in the 1st equation and solve for x.  (Aim to got x on its own)

40 = 2 (x - 3)^2 - 8

+ 8          + 8

-----------------------------

48 = 2 (x - 3)^2

/2            /2

-----------------------------

24 = (x - 3)^2

square root both sides

--------------------

\sqrt{24} = x - 3

x = 3 ± \sqrt{24}

5 0
3 years ago
Find the smallest integer n for an O(xn) estimate of order of the function f(x)
alexdok [17]

Answer with explanation:

f(x)=\frac{(x^3+x^2+5)(x^4-3x^2)}{(2x^2+2x-3)(4x^2+7)}\\\\f(x)=\frac{x^3\times (x^4-3x^2)+x^2 \times (x^4-3x^2)+5 \times (x^4-3x^2)}{2x^2\times (4x^2+7)+2x(4x^2+7)-3\times (4x^2+7)}\\\\f(x)=\frac{x^7-3x^5+x^6-3x^4+5x^4-15x^2}{8x^4+14x^2+8x^3+14 x-12x^2-21}\\\\f(x)=\frac{x^7+x^6-3x^5+2x^4-15x^2}{8x^4+8x^3+2x^2+14 x-21}

The largest degree of numerator is 7 , while the largest degree of denominator is 4.So, as we know

 \frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^7}{x^4}=x^{7-4}\\\\=x^3

→So, order of the function is the highest degree in the function raised to power.Highest degree is 3,when you will reduce the function in Expression form.

So, Degree=3

Order=1

6 0
4 years ago
Describe the transformation that changes triangle ABC to triangle A'B'C
Nonamiya [84]
It is a down shift of 3.
Also written as (x, y-3)
4 0
3 years ago
Which answer is a graph for the inequality x>2
seropon [69]
Show me the answers, then i'll help
6 0
3 years ago
If segment AB is 4 units, segment AD is 23 units, and segment CD is 12 units, what is the length of segment BC?
Thepotemich [5.8K]

Answer:

<h2>C . 7 units</h2>

Step-by-step explanation:

The question is lacking appropriate diagram. Find the diagram to the question attached.

From the diagram, it can be seen that AD = AB+BC+CD

Given the following

AD = 23units

AB = 4units

CD = 12units

To get C=BC, we will substitute the given segments into the expression above as shown;

23 = 4+BC+12

23 = BC + 4 + 12

23 = BC+16

Subtract 16 from both sides

23-16 = BC+16-16

7 = BC

<em></em>

<em>Hence the length of segment BC is 7units.</em>

3 0
3 years ago
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