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Tom [10]
2 years ago
10

Tickets to a local movie were sold at $10.00 for general admission and $6.00 for seniors. If 190 tickets were sold for a total o

f $1260.00, how many senior admission tickets were sold
Mathematics
1 answer:
svlad2 [7]2 years ago
5 0

Answer:

Step-by-step explanation:

points points points points points points points points points points points points points points points points points points points points points points points points points points points points points points points points points

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Clarissa (the surveyor from our book) is at home and needs to figure out how tall her wall is in order to replace one of the lig
Vikentia [17]

Answer:

  • 18 feet

Step-by-step explanation:

As per the diagram, the triangles on the left and right are similar.

<u>The ratio of corresponding sides is equal:</u>

  • 27/9 = x/6
  • x = 6*3
  • x = 18

The height of the wall is 18 feet

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Consider the initial value problem y′+2y=4t,y(0)=8.
Xelga [282]

Answer:

Please read the complete procedure below:

Step-by-step explanation:

You have the following initial value problem:

y'+2y=4t\\\\y(0)=8

a) The algebraic equation obtain by using the Laplace transform is:

L[y']+2L[y]=4L[t]\\\\L[y']=sY(s)-y(0)\ \ \ \ (1)\\\\L[t]=\frac{1}{s^2}\ \ \ \ \ (2)\\\\

next, you replace (1) and (2):

sY(s)-y(0)+2Y(s)=\frac{4}{s^2}\\\\sY(s)+2Y(s)-8=\frac{4}{s^2}  (this is the algebraic equation)

b)

sY(s)+2Y(s)-8=\frac{4}{s^2}\\\\Y(s)[s+2]=\frac{4}{s^2}+8\\\\Y(s)=\frac{4+8s^2}{s^2(s+2)} (this is the solution for Y(s))

c)

y(t)=L^{-1}Y(s)=L^{-1}[\frac{4}{s^2(s+2)}+\frac{8}{s+2}]\\\\=L^{-1}[\frac{4}{s^2(s+2)}]+L^{-1}[\frac{8}{s+2}]\\\\=L^{-1}[\frac{4}{s^2(s+2)}]+8e^{-2t}

To find the inverse Laplace transform of the first term you use partial fractions:

\frac{4}{s^2(s+2)}=\frac{-s+2}{s^2}+\frac{1}{s+2}\\\\=(\frac{-1}{s}+\frac{2}{s^2})+\frac{1}{s+2}

Thus, you have:

y(t)=L^{-1}[\frac{4}{s^2(s+2)}]+8e^{-2t}\\\\y(t)=L^{-1}[\frac{-1}{s}+\frac{2}{s^2}]+L^{-1}[\frac{1}{s+2}]+8e^{-2t}\\\\y(t)=-1+2t+e^{-2t}+8e^{-2t}=-1+2t+9e^{-2t}  

(this is the solution to the differential equation)

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Answer:

Hello! answer: 60 and the triangle is a Equilateral because each measure is the same HOPE THAT HELPS!

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