Ask question

Ask question

All categories

1 year ago

7

One ring in the Stonehenge Monument was originally made of 30 Stones, each about six and a half feet wide, 3 ft thick, and 13 ft

tall.what is the approximate volume of the 17th stones that remain today? I'm desperate so please help me out XD

1 answer:

Temka [501]1 year ago

0 0

To get volume, multiply width by height by length/thickness. so multiply 6.5 by 3 by 13 to get your answer, and if you need to know it for all of them combined, multiply by the number of stones.

You might be interested in

2. A damped spring–mass system is given an initial velocity of 50 m/s from the equilibrium position. Find y(t) if M = 4 kg, K =

Ilia_Sergeevich [38]

Answer:

$y(t)=-\frac{25}{3}e^{-8t}+\frac{25}{3}e^{-2t}$

Step-by-step explanation:

We are given that

Initial velocity $=v(0)=50m/s$

M=40 kg

K=64 N/m

C=40 Kg/s

We have to find the y(t)

Displacement equation for damped motion

$M\frac{d^2y}{dt^2}+C\frac{dy}{dt}+ky=0$

Substitute the values

$4\frac{d^2y}{dt^2}+40\frac{dy}{dt}+64y=0$

Auxillary equation

$4m^2+40m+64=0$

$m^2+10m+16=0$

$m^2+8m+2m+16=0$

$m(m+8)+2(m+8)=0$

$(m+8)(m+2)=0$

$m+8\implies m=m_1=-8$

$m+2=0$

$\implies m=m_2=-2$

When roots are distinct and real

Then, $y(t)=C_1e^{m_1t}+C_2e^{m_2t}$

Substitute the values

$y(t)=C_1e^{-8t}+C_2e^{-2t}$

Substitute t=0

Then, $y(0)=C_1+C_2$

Substitute y(0)=0 because when motion does not start then displacement y(t)=0

$C_1=-C_2$

Differentiate w.r.t t

$v(t)=y'(t)=-8C_1e^{-8t}-2C_2e^{-2t}$

Substitute the values v(0)=50 and t=0

$50=-8C_1-2C_2$

Substitute the value

$50=-8(-C_2)-2C_2=8C_2-2C_2=6C_2$

$C_2=\frac{50}{6}=\frac{25}{3}$

$C_1=-C_2=-\frac{25}{3}$

Substitute the values

$y(t)=-\frac{25}{3}e^{-8t}+\frac{25}{3}e^{-2t}$

5 0

11 months ago

Solve
the function y = x2 − 18x.

PtichkaEL [24]

Solve the function means: find the roots of the curve..where it touches/crosses the x-axis

y = x2 − 18x

this quadratic function could be solved by factoring or by the quadratic formula in general

Let's try factoring....

$y=x^2-18x\\~\\y=x(x-18)$

so x=0 OR x-18=0
therefore:
x=0 or x=18

Hence 0 and 18 are the solutions for this function...

and you can say that the points (0,0) and (18,0) are the roots of this quadratic.

I hope that helps!

4 0

7 months ago

Read 2 more answers

Chelsea's family travled 300 miles by car each day during their family vacation. how many miles did chelsea's family travel over

zzz [600]

300 * 6 = 1800
Chelsea's family traveled a total of 1800 miles in 6 days.

5 0

9 months ago

Looking for an answer or equation for this:

64 + 5 - (-3) = 72

$\sqrt{72}$
$3 \sqrt{8}$

4 0

10 months ago

One of the factors of 1331x to the 3rd power-8y to the 3rd power.

artcher [175]

Remember
a^3-b^3=(a-b)(a^2+ab+b^2)

(11x)³-(2y)³=(11x-2y)(121x²+22xy-4y²)

6 0

1 year ago