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WITCHER [35]
3 years ago
11

Pls help me this is like really confusing !

Mathematics
2 answers:
EastWind [94]3 years ago
7 0
What do you need help on exactly?
riadik2000 [5.3K]3 years ago
3 0

do ya play r o b l o x if ya do tell me your username

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Ask Your Teacher The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. (a) Use differentials t
SCORPION-xisa [38]

Answer:  

a)  28,662 cm²  max error

    0,0111     relative error

b) 102,692 cm³  max error

   0,004     relative error

   

Step-by-step explanation:

Length of cicumference is: 90 cm

L = 2*π*r

Applying differentiation on both sides f the equation

dL  =  2*π* dr    ⇒  dr = 0,5 / 2*π

dr =  1/4π

The equation for the volume of the sphere is  

V(s) =  4/3*π*r³     and for the surface area is

S(s) = 4*π*r²

Differentiating

a) dS(s)  =  4*2*π*r* dr    ⇒  where  2*π*r = L = 90

Then    

dS(s)  =  4*90 (1/4*π)

dS(s) = 28.662 cm²   ( Maximum error since dr = (1/4π) is maximum error

For relative error

DS´(s)  =  (90/π) / 4*π*r²

DS´(s)  = 90 / 4*π*(L/2*π)²      ⇒   DS(s)  = 2 /180

DS´(s) = 0,0111 cm²

b) V(s) = 4/3*π*r³

Differentiating we get:

DV(s) =  4*π*r² dr

Maximum error

DV(s) =  4*π*r² ( 1/  4*π*)   ⇒  DV(s) = (90)² / 8*π²

DV(s)  =  102,692 cm³   max error

Relative error

DV´(v) =  (90)² / 8*π²/ 4/3*π*r³

DV´(v) = 1/240

DV´(v) =  0,004

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3 years ago
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You are constructing a tangent line from a point outside a given circle to the circle. You have drawn the circle, a point outsid
sveta [45]
Yikes I might go with C. 
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Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.
GREYUIT [131]
a_1=3
a_2=-4a_1
a_3=-4a_2=(-4)^2a_1
\cdots
a_6=-4a_5=\cdots=(-4)^5a_1

\implies a_6=(-4)^5\cdot3=-3072
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3 years ago
Karl bought ? 3 1/2 ? gallons of milk that cost $2.70 per gallon. How much did he spend? Please I need it super fast I will mark
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He spent $9.45
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3 years ago
What is the percent increase between getting a high school scholarship and bachelors degree when high school scholarship is $421
gogolik [260]

Answer:

The percent increase between getting a high school scholarship and bachelor's degree is <u>59.14%</u>.

Step-by-step explanation:

Given:

High school scholarship is $421.

Bachelor's degree is $670.

Now, to find the percent increase between a high school scholarship and bachelor's degree.

So, we get the amount of increase between a high school scholarship and bachelor's degree.

670-421=249.

<em>Thus, the amount of increase = $249</em>.

Now, to get the percent increase between a high school scholarship and bachelor's degree:

\frac{249}{421}\times 100

=\frac{24900}{421}

=59.14\%.

Therefore, the percent increase between getting a high school scholarship and bachelor's degree is 59.14%.

7 0
3 years ago
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