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Assoli18 [71]
3 years ago
11

The school decided to raise the price of

Mathematics
2 answers:
nlexa [21]3 years ago
4 0

Answer:

t=5(p+ 0.25)

Step-by-step explanation:

The total amount seth spends each week equals the number of lunches he buys time the price of each lunch

Doss [256]3 years ago
3 0

Answer:

.25 * 5=t

Step-by-step explanation:

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vredina [299]

Answer:

I think it's 900

Step-by-step explanation:

5 0
3 years ago
I don't understand how to solve these problems
iragen [17]
When adding fractions you need to get common denominators then you multiply too times bottom and then boom add and there you go
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3 years ago
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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
Expand the following:
liraira [26]

Answer:

8x-16y

Step-by-step explanation:

  • b.6a/6+18b/6-12c/6
6 0
3 years ago
Read 2 more answers
Is x=-2 a positive slope
victus00 [196]

Answer:

No

Step-by-step explanation:

x = -2 represents a vertical line that intersects the x axis at the point (-2, 0). Since the line is vertical, the slope is undefined making it not have a positive slope.

Best of Luck!

7 0
3 years ago
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