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tamaranim1 [39]
3 years ago
13

The baby horse weighed 156 pounds at birth. He gained weight at a steady rate for the first 5 months until his weight reached 45

6 pounds. What equation represents this situation
Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0
456 divided by 5= 156
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Find the generating function for the sequence 1,1,1,2,3,4,5,6,....
marin [14]

Answer:

P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1[/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

1,1,1,2,3,4,5,6,...

the generating function would be

P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\

we can multiply P(x) by x to get

xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...

Note that

P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\   \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)

which for \mid x \mid < 1 can be rewritten as

(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}

8 0
3 years ago
Emily is entering a bicycle race for charity. Her mother pledges $0.40 for every 0.75 miles she bikes. If Emily bikes 21 miles,
lora16 [44]

Answer:

Her mother will donate $11.20

Step-by-step explanation:

  • $0.40 every 0.75 miles.
  • 21 miles biked.

Step 1: Figure out how many 0.75 increments are in 21 miles.

21 ÷ 0.75 = 28

  • There are 28 increments of 0.75 in 21 miles.

Step 2: Multiply 28 by $0.40

28 * $0.40 = $11.20

4 0
3 years ago
Read 2 more answers
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aev [14]
Square root of 6 times 16 will give us 39.19

The square root of 48 times 32 [which gives us 1536] is also equal to 39.19

The square root of 1536 is equal to 39.19

Hence, x is equal to 32

Hope this helped! :D
8 0
3 years ago
How many solutions does this equation have
Stells [14]

Answer:

I m not sure, I can't see

Step-by-step explanation:

8 0
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Parallel to 7x+5y=3, through (9,-9)
love history [14]
The answer should be -5x + 7y = -108

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