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JulsSmile [24]
3 years ago
5

Integrals with variables.

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

a = 5, b = 14

Step-by-step explanation:

∫₁¹⁴ f(x) dx is the area under f(x) between x = 1 and x = 14.

∫₁⁵ f(x) dx is the area under f(x) between x = 1 and x = 5.

Therefore, the difference is the area under f(x) between x = 5 and x = 14.

∫₁¹⁴ f(x) dx − ∫₁⁵ f(x) dx = ∫₅¹⁴ f(x) dx

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eduard

your answer will be 19

6 0
3 years ago
John is selling tickets to an event. Attendees can either buy a general admission ticket, x,
Masteriza [31]

John sold 18 general admission tickets and 11 VIP tickets.

Step-by-step explanation:

Given,

Cost of each general admission = $50

Cost of each VIP ticket = $55

Total tickets sold = 29

Total revenue generated = $1505

Let,

x represent the number of general admission tickets sold

y represent the number of VIP tickets.

x+y=29     Eqn 1

50x+55y=1505   Eqn 2

Multiplying Eqn 1 by 50

50(x+y=29)\\50x+50y=1450\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(50x+55y)-(50x+50y)=1505-1450\\50x+55y-50x-50y=55\\5y=55

Dividing both sides by 5

\frac{5y}{5}=\frac{55}{5}\\y=11

Putting y=11 in Eqn 1

x+11=29\\x=19-11\\x=18

John sold 18 general admission tickets and 11 VIP tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/1232765
  • brainly.com/question/1234767

#LearnwithBrainly

5 0
3 years ago
I need help on this one help hurry
Blababa [14]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
If the clothing maker bought 500 m2 of this fabric, how much money did he lose? Use 1tepiz=0.625dollar and 0.9144m=1yard.
Ivanshal [37]
1 yard^2 = 0.8361m^2.? 

<span>The solution to the problem is as follows:

So he spent (.625 x 400) = $250.00 per m^2. </span>
He paid out (500 x 250) = $125,000 on the deal. 
He received (500 / 0.8361) = 598.014592 yard^2 of fabric. 
That would have cost (598.014592 x 120) = $71,761.75 locally. 
He lost (125,000 - 71,761.75) = $53,238.25 on the deal. 

<span>You can rework with the incorrect conversion factor.

I hope my answer has come to your help. God bless and have a nice day ahead!
</span>
7 0
3 years ago
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A group of astronomers observed light coming from a star located a distance of 331,000,000,000,000,000,000,000,000 light-years f
Anika [276]
3.31 times 10 to the 26th power
5 0
3 years ago
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