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Tems11 [23]
3 years ago
7

URGENT. Q) 18, 19, 20

Mathematics
2 answers:
notsponge [240]3 years ago
4 0
18. s = 5r^2 + 7......making r the subject
      s - 7 = 5r^2
      (s - 7) / 5 = r^2...by taking the sqrt of both sides, it eliminates the ^2
     ( sqrt (s-7)/5) = r

19. h = ut - 1/2gt^2....u = 100, t = 1 4/5(or 9/5)...g = 6.4
      h = (100)(9/5) - 1/2(6.4)(9/5^2)
      h = 180 - 1/2(6.4)(3.24)
      h = 180 - 3.2(3.24)
      h = 180 - 10.368
      h = 169.632 or 169 79/125

20. sorry..do not know this one
vazorg [7]3 years ago
4 0
X= 0.2222 and so on hope I was helpful
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Mrs. Garcia’s students were asked to find 220% of 75. Each of the students had a different method.
ludmilkaskok [199]

Answer:

Colton.

Step-by-step explanation:

Amy: 220% is basically \frac{220}{100} which in decimal form, is 2.20.

Braden: 100% + 100% + 20% = 220%, so it is accurate.

Colton: 100%  + 10% + 10% = 120%, not 220%.

Dainielle: 100% of 75 is 75. Dividing the 100% of 75 by 5 makes a 20%. Adding 100% of 75 twice makes 200%. 200% + 20% = 220%, so it is accurate.

4 0
3 years ago
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Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n
aliya0001 [1]

Answer:

f(x)=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}

Step-by-step explanation:

The Maclaurin series of a function f(x) is the Taylor series of the function of the series around zero which is given by

f(x)=f(0)+f^{\prime}(0)x+f^{\prime \prime}(0)\dfrac{x^2}{2!}+ ...+f^{(n)}(0)\dfrac{x^n}{n!}+...

We first compute the n-th derivative of f(x)=\ln(1+2x), note that

f^{\prime}(x)= 2 \cdot (1+2x)^{-1}\\f^{\prime \prime}(x)= 2^2\cdot (-1) \cdot (1+2x)^{-2}\\f^{\prime \prime}(x)= 2^3\cdot (-1)^2\cdot 2 \cdot (1+2x)^{-3}\\...\\\\f^{n}(x)= 2^n\cdot (-1)^{(n-1)}\cdot (n-1)! \cdot (1+2x)^{-n}\\

Now, if we compute the n-th derivative at 0 we get

f(0)=\ln(1+2\cdot 0)=\ln(1)=0\\\\f^{\prime}(0)=2 \cdot 1 =2\\\\f^{(2)}(0)=2^{2}\cdot(-1)\\\\f^{(3)}(0)=2^{3}\cdot (-1)^2\cdot 2\\\\...\\\\f^{(n)}(0)=2^n\cdot(-1)^{(n-1)}\cdot (n-1)!

and so the Maclaurin series for f(x)=ln(1+2x) is given by

f(x)=0+2x-2^2\dfrac{x^2}{2!}+2^3\cdot 2! \dfrac{x^3}{3!}+...+(-1)^{(n-1)}(n-1)!\cdot 2^n\dfrac{x^n}{n!}+...\\\\= 0 + 2x -2^2  \dfrac{x^2}{2!}+2^3\dfrac{x^3}{3!}+...+(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}+...\\\\=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^n\dfrac{x^n}{n}

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3 years ago
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garik1379 [7]

Answer:

1.75 or 1 3/4 pieces of pizza per person

Step-by-step explanation:

Hi,

Divide 4 by 7 and you get...

1 3/4 or 1.75

I hope this helps :)

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a_sh-v [17]

Answer:

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Step-by-step explanation:

make a table chart

divided 75 by 75 to get one then do it to the other side

8 divided by 75

will give you 8/75

6 0
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