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4 years ago

( Algebra)plz can you do it?

Mathematics

1 answer:

Naya [18.7K]4 years ago

6 0

I'm pretty sure the answer to this is x=65 but I could be wrong.Not very good with this kinda Algebra.

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A spherical shell whose inner radius is 2 cm and whose outer radius is 8 cm is made of material of varying density. At a point {

Flauer [41]

Answer:

Density is 16.11 units, If it is less than the density of water in the same units, the sphere will float.

Step-by-step explanation:

We have to:

Mass of shell at distance r from:

Density = mass / volume, if we solve for mass we have:

Mass = volume * density

replacing:

Mass = (4 * pi * (r ^ 2) * dr) * (0.39r ^ 2)

Mass = 1.68 * pi * r ^ 4 * dr

Mass = 1.68 * pi integral from 2 to 8 of {r ^ 4 * dr}

Mass = 1.68 * 3.14 * (r ^ 5) / 5 when r equals 2 to 8, replacing:

Mass = 1.68 * 3.14 * [(8 ^ 5/5 - (2) ^ 5/5]

Mass = 34537.79

Now the volume would be: (4/3) * pi * r ^ 3, we replace:

(4/3) * 3.14 * 8 ^ 3 = 2143.57

Density = 34537.79 / 2143.57 = 16.11 units

If it is less than the density of water in the same units, the sphere will float.

6 0

3 years ago

How to turn Standard Form ( -x + 2y = 10) to Point slope form?

Inessa05 [86]

Point slope form (slope intercept form) is y = mx + b

so first move the -x over to the other side

2y = x + 10

Divide 2 to both sides

2y/2 = y
(x + 10)/2 = x/2 + 5

slope intercept form
y = x/2 + 5

hope this helps

4 0

3 years ago

how long will it take an investment of $300 to triple, if the interest rate is 3.5% per year, compounded continuously?

Rashid [163]

Answer:

31 years to triple the investment

Step-by-step explanation:

Initial investment = 300

Triple amount that is final amount = 300*3= 900

rate of interest = 3.5 % = 0.035

we need to find out number of years (t)

for compounded continuously we use formula

$A= Pe^{rt}$

A is the final amount

P is the initial amount

r is the rate of interest

t is the number of years

$900 = 300e^{0.035*t}$

Divide both sides by 300

$3 =e^{0.035*t}$

take 'ln' on both sides

$ln(3) =ln(e^{0.035*t})$

ln(3) = 0.035t ln(e)

ln(e)= 1

$\frac{ln(3)}{0.035} = t$

t= 31.3889

Round to nearest whole number

t= 31 years

4 0

3 years ago

Which equation best fits these data? PLEASE HELP

Dimas [21]

Answer:

Step-by-step explanation:

Use a quadratic equation regression calculator.

Plugging in all the points, the equation should come somewhere close to

$y=-0.32x^{2} -1.26x+15.81$

Which is answer choice C.

3 0

4 years ago

Read 2 more answers

Keaton received his allowance for the week on Friday. He spent 2/6 of his allowance on a movie ticket in 2/8 of his allowance at

motikmotik

Answer:

dfgggyyhyyyyyyyhyhhhgggfhhtff

3 0

3 years ago