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lutik1710 [3]
3 years ago
14

1/2 as long as 6 meters

Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0

Answer:

Let the total length be x

Now 1/2 • x = 6

=> x = 6•2

=> x = 12

.°. The value of x = 12

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Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4, and then find the nth Maclaurin polynomials for the function in
Zielflug [23.3K]

Answer:

Σ(-1)^kx^k for k = 0 to n

Step-by-step explanation:

The nth Maclaurin polynomials for f to be

Pn(x) = f(0) + f'(0)x + f''(0)x²/2! + f"'(0)x³/3! +. ......

The given function is.

f(x) = 1/(1+x)

Differentiate four times with respect to x

f(x) = 1/(1+x)

f'(x) = -1/(1+x)²

f''(x) = 2/(1+x)³

f'''(x) = -6/(1+x)⁴

f''''(x) = 24/(1+x)^5

To calculate with a coefficient of 1

f(0) = 1

f'(0) = -1

f''(0) = 2

f'''(0) = -6

f''''(0) = 24

Findinf Pn(x) for n = 0 to 4.

Po(x) = 1

P1(x) = 1 - x

P2(x) = 1 - x + x²

P3(x) = 1 - x+ x² - x³

P4(x) = 1 - x+ x² - x³+ x⁴

Hence, the nth Maclaurin polynomials is

1 - x+ x² - x³+ x⁴ +.......+(-1)^nx^n

= Σ(-1)^kx^k for k = 0 to n

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3 years ago
A movie theater earned $3,600 in sold-out ticket sales for the premiere of a new movie. VIP tickets cost $20 per person and regu
julia-pushkina [17]

There are 300 seats in the theater.

Step-by-step explanation:

Given,

Cost of one VIP ticket = $20

Cost of one regular ticket = $8

Worth of sold out tickets = $3600

Let,

x represent the number of VIP tickets sold

y represent the number of regular tickets sold

20x+8y=3600     Eqn 1

y = 2x                   Eqn 2

Putting value of y from Eqn 2 in Eqn 1

20x+8(2x)=3600\\20x+16x=3600\\36x=3600

Dividing both sides by 36

\frac{36x}{36}=\frac{3600}{36}\\x=100

Putting x=100 in Eqn 2

y=2(100)\\y=200

Total = x+y = 100+200 = 300

There are 300 seats in the theater.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10633485
  • brainly.com/question/10672611

#LearnwithBrainly

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60 thousand is the value of 6 in 5,165,874
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