3 years ago

Please help!!!!! This is due in a few hours...

Mathematics

1 answer:

Hunter-Best [27]3 years ago

7 0

Peter's meal costed $8.11 in total. Hope this helps :D

You might be interested in

Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y

koban [17]

$\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}$

Substituting this into the other ODE gives

$-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0$

Since $x(t)=-\dfrac14y'(t)$ , it follows that $x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16$ . The ODE in $y$ has characteristic equation

$r^2-16=0$

with roots $r=\pm4$ , admitting the characteristic solution

$y_c=C_1e^{4t}+C_2e^{-4t}$

From the initial conditions we get

$y(0)=5\implies 5=C_1+C_2$

$y'(0)=16\implies-16=4C_1-4C_2$

$\implies C_1=\dfrac12,C_2=\dfrac92$

So we have

$\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}$

Take the derivative and multiply it by -1/4 to get the solution for $x(t)$ :

$-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}$

7 0

3 years ago

What is the domain and range of h(t)=cot t

NeTakaya

Domain = R
Range = R .............

7 0

4 years ago

Simplify the expression. (8 + 7a) + 4 7a

agasfer [191]

For this one I'm going to assume that 4 7a means 4 * 7a...

(8 + 7a) + 4 * 7a =
8 + 7a + 28a =
8 + 35a

If I read it wrong and 4 7a is actually 47a then...

(8 + 7a) + 47a =
8 + 54a =
2(4 + 27a)

3 0

4 years ago

2x – 5 = 7 to 2x = 12 What property of equality was used?

kakasveta [241]

Property of Addition and division.

6 0

3 years ago

Mrs. McDonald's students have been working very hard during class, completing all class work and homework, and even attending tu

Natali5045456 [20]

Answer:

(13+83+85+87+90+91+93+97+98+99+100+100):12= 85,33

3 0

3 years ago