4/5n = . n = ___? Select one: a.2/15 b.5/6 c. 1 1/5 d. 1 7/15 no links thank you

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

3 0

3 years ago

Read 2 more answers

You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that h

makkiz [27]

Answer:

Step-by-step explanation:

If 2in represented 17ft

Then 51ft will give (51×2)/17 in

= 6in

4 0

3 years ago

What is the sum of the difference?

Alona [7]

Answer:

A. 9x^4 and 3x^5y

Step-by-step explanation:

there are two ways to solve this:

first way:

You can solve this my substituting numbers for x and y in this case i used 2 for x and 3 for y and see which one is equal to the original equations

the second way is the regular way

when you add or subtract numbers with variables and exponents you want to add the constants and add the exponents in this case $5x^{4} +4x^2$ is the same as $(5x+4x)^(4+4)$ = $9x^4$ and you can do the same process for subtraction

$12x^{5}y-9x^5 y\\(12x-9x)^(5+5)*y$ = $3x^5y$

8 0

3 years ago

What is the answer to this equation -7 c + 2 = 16?

Lelechka [254]

Answer:

c=-2

Step-by-step explanation:

Equation: -7c+2=16

-7c=16-2

-7c=14

c=14/-7

c=-2

6 0

3 years ago

Read 2 more answers

Conner and Jana are multiplying (3⁵6⁸)(3⁹6¹⁰).

ad-work [718]

<h3>Conner work is correct. Jana work is wrong</h3>

Solution:

Given that,

Conner and Jana are multiplying:

$(3^56^8)(3^96^{10})$

Given Conner's work is:

$(3^56^8)(3^96^{10}) = 3^{5+9}6^{8+10} = 3^{14}6^{18}$

We have to check if this work is correct

Yes, Conner work is correct

From given,

$(3^56^8)(3^96^{10})\\\\3^5 \times 6^8 \times 3^9 \times 6^{10}$

Use the following law of exponent

$a^m \times a^n = a^{m+n}$

Therefore,

$3^5 \times 6^8 \times 3^9 \times 6^{10} = 3^5 \times 3^9 \times 6^8 \times 6^{10} = 3^{5+9} \times 6^{8+10} = 3^{14} \times 6^{18}$

Given Jana's work is:

$(3^56^8)(3^96^{10}) = 3^{5.9}6^{8.10} = 3^{45}6^{80}$

This is incorrect

The powers of same base has to be added. But here, powers are multiplied which is wrong

7 0

2 years ago