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Sedaia [141]
2 years ago
13

Ruby has a points card for a movie theater.

Mathematics
2 answers:
puteri [66]2 years ago
7 0
Answer: Ruby must go 12 times to get a free ticket



To work this out you must do 224 (total of points needed) subtract 50 as she already got 50) Which equals 174

Then 174 divide by 14.5 (how much she gets for it to go) which equals 12 there for she need to go 12 times to get a free ticket

Hope this helped!

AnnZ [28]2 years ago
3 0

Answer:

Ruby has to go 12 times to get a free ticket

Step-by-step explanation:

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x = c1 cos(t) + c2 sin(t) is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the seco
igomit [66]

Answer:

x=-cos(t)+2sin(t)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

a_n y^n +a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

Will have a characteristic equation of the form:

a_n r^n +a_n_-_1r^{n-1}+...+a_1r+a_o=0

Where solutions r_1,r_2...,r_n are the roots from which the general solution can be found.

For real roots the solution is given by:

y(t)=c_1e^{r_1t} +c_2e^{r_2t}

For real repeated roots the solution is given by:

y(t)=c_1e^{rt} +c_2te^{rt}

For complex roots the solution is given by:

y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)

Where:

r_1_,_2=\lambda \pm \mu i

Let's find the solution for x''+x=0 using the previous information:

The characteristic equation is:

r^{2} +1=0

So, the roots are given by:

r_1_,_2=0\pm \sqrt{-1} =\pm i

Therefore, the solution is:

x(t)=c_1cos(t)+c_2sin(t)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of x(t) in order to find the constants c_1 and c_2:

x'(t)=-c_1sin(t)+c_2cos(t)

Evaluating the initial conditions:

x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1

And

x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2

Now we have found the value of the constants, the solution of the second-order IVP is:

x=-cos(t)+2sin(t)

3 0
3 years ago
Consider the algebraic expression:​
o-na [289]

Answer:

where is the expression??

7 0
2 years ago
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stich3 [128]

Answer:

Step-by-step explanation:

8 0
2 years ago
Bree had 52 pens scattered on her desk.She wanted to organize them.
ziro4ka [17]
Answer: The operation is “division” and the answer is “13 pens in each”.
Explanation: 52 divided by 4 = 13
7 0
2 years ago
The are of the base of a cylinder is 45 inches and it’s height is 14 inches. A cone has the same area for its base and the same
Oksana_A [137]

Answer:

210

Step-by-step explanation:

The volume of a cone is the base * height / 3.  We know the base is 45 and the height is 14, so that means the volume is 45 * 14 / 3 = 210

8 0
2 years ago
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