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bekas [8.4K]
3 years ago
12

If i have 66$ and i bought 44 stones, how much did the stones cost?

Mathematics
1 answer:
Lunna [17]3 years ago
7 0

Answer:$1.50

Step-by-step explanation: $66/44 stones equals the price= 1.5 or $1.50

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Josef has 35 square feet of tiles. He cuts 15 of those tiles in half. How many square feet of tiles does Josef have now? Explain
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50

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Solve the system of equations algebraically. Show all of your work.<br> y= x^2 + 2x<br> y= 3x +30
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See attached below

Step-by-step explanation:

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3 years ago
Y''+Y'+Y=1<br> solve ordinary differential equation
taurus [48]

Answer:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

Step-by-step explanation:

y" + y' + y = 1

This is a second order nonhomogenous differential equation with constant coefficients.

First, find the roots of the complementary solution.

y" + y' + y = 0

r² + r + 1 = 0

r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)

r = [ -1 ± √(1 − 4) ] / 2

r = -1/2 ± i√3/2

These roots are complex, so the complementary solution is:

y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)

Next, assume the particular solution has the form of the right hand side of the differential equation.  In this case, a constant.

y = c

Plug this into the differential equation and use undetermined coefficients to solve:

y" + y' + y = 1

0 + 0 + c = 1

c = 1

So the total solution is:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

To solve for c₁ and c₂, you need to be given initial conditions.

5 0
2 years ago
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