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LenaWriter [7]
3 years ago
5

ASAP!!! PLEASE help me solve this question!!!! I really need help...

Mathematics
2 answers:
GenaCL600 [577]3 years ago
6 0

Answer:

304(pi) g

Step-by-step explanation:

First we find the volume of the hollow ball. Then we find the mass using the volume and density.

Let R = exterior radius = 3 cm

Let r = interior radius = 2 cm

volume = exterior volume - interior volume

volume = (4/3)(pi)R^3 - (4/3)(pi)r^3

volume = (4/3)(pi)(R^3 - r^3)

volume = (4/3)(pi)(3^3 - 2^3) cm^3

volume = (4/3)(pi)(27 - 8) cm^3

volume = (76/3)pi cm^3

Now we use the density and the volume to find the mass.

density = mass/volume

mass = density * volume

mass = 12 g/cm^3 * (76/3)pi cm^3

mass = 304(pi) g

Answer: 304(pi) g

bija089 [108]3 years ago
4 0

Answer:

m=(76π/3 )(12)=304πg

Step-by-step explanation:

volume of sphere=(4πr³)/3

V=4π(2)³/3=32π/3 of the interior

V of exterior=4π(3)³/3=36π

Volume of the whole metal =108π/332π/3=76π/3=25 1/3 π

m=V*D ( volume * density)=

m=(76π/3 )(12)=304πg

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EastWind [94]
So the length is 4*28=112mm
The width would be calculated like this:

you draw an equilateral triangle in the middle with sides or 2r(56mm). The based on pythagorean theorem u know that
h=rad(56^2-28^2)=48.497
28+28+h=104.497

The area would be S=l*w which is 11703.7113mm

5 0
3 years ago
Can someone explain to me what a “derivative” means? How do you find the derivative of f(x)=x^3+1?
Ostrovityanka [42]
The derivative is the rate of change of a function, basically represents the slope at different points. To find the derivative of the given function you can use the power rule, which means, if n is a real number, d/dx(x^n)= nx^(n-1). This is a simplification of the chain rule based on the fact that d/dx(x)=1. Anyway, this means that d/dx(x^3 + 1)= 3x^2. Here n is 3 and so it is 3*x^(3-1)= 3x^2. The derivative of x^3+1 is 3x^2.

If you are wondering what happened to the 1, for any constant C, d/dx(C)=0.
4 0
3 years ago
Evaluate 3^2 + (6-2) × 4 - 6/3​
IrinaVladis [17]
Answer: 23
Explanation: simplify using PEMDAS so solve parentheses, then solve the exponent, multiply the second number by 4, and then add, then subtract.

Hope this helps!
4 0
2 years ago
, , , , , , ,, , ,, , , , , ,, , ,,,
attashe74 [19]

Answer:

,,,,,, ,,,,,,,, ,,,,,,,,,,,,

Step-by-step explanation:

,,,,,,,,,! ....,,,,, ..,,,.,,,,,. .......? ........!

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3 0
3 years ago
Katherine invested $86,000 in an account paying an interest rate of 52%
earnstyle [38]

Answer: $4,331‬

Step-by-step explanation:

I will assume that the question meant 5.2% not 52% as this is quite excessive.

Katherine after 13 years.

Convert the variables;

n = 13 years = 13 * 365 = ‭4,745‬ days

r = 5.2% = 5.2/365 = 5.2/365%

Future value = P * ( 1 + r)^n

= 86,000 * (1 + 5.2/365%)⁴⁷⁴⁵

= $169,068

Michael after 13 years;

If compounded continuously, the formula is;

Future value = Pe^rt

= 86,000 * e⁰.⁰⁵ ˣ ¹³

= $164,737

Difference = 169,068 - 164,737

= $4,331‬

5 0
3 years ago
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