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Romashka [77]
3 years ago
6

Margaret and Donovan are twins. They have each kept track of their heights every year since they were 5.

Mathematics
1 answer:
guapka [62]3 years ago
5 0

Answer: Margret grew faster than donovan

Step-by-step explanation:

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write out the sum using the summation notation, assuming the suggested pattern continues. -10-2+6+14+...+110
Ronch [10]
The series is an arithmetic series with first term -10 and common difference (-2-(-10))=8. The general term a_n can be written as
  a_n = -10 + 8(n-1)
or
  a_n = -18+8n

The last term corresponds to
  110 = -18+8n
  128 = 8n
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So, the summation can be written as
S_{16}=\sum\limits_{n=1}^{16}{(-18+8n)}
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4 years ago
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kozerog [31]

Answer:

x < 3

Step-by-step explanation:

5x + 7 < 22 \\ 5x < 22 - 7 \\ 5x < 15 \\ x  <  \frac{15}{5}  \\ x < 3

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3 years ago
Find the exact value of sin 105 degrees​
STALIN [3.7K]

Answer:

\frac{\sqrt{6}+\sqrt{2}}{4}

Step-by-step explanation:

I'm going to write 105 as a sum of numbers on the unit circle.

If I do that, I must use the sum identity for sine.

\sin(105)=\sin(60+45)

\sin(60)\cos(45)+\sin(45)\cos(60)

Plug in the values for sin(60),cos(45), sin(45),cos(60)

\frac{\sqrt{3}}{2}\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\frac{1}{2}

\frac{\sqrt{3}\sqrt{2}+\sqrt{2}}{4}

\frac{\sqrt{6}+\sqrt{2}}{4}

4 0
3 years ago
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Simplify the following.<br> - (3z)2
Sedaia [141]

Answer:

-6z

Step-by-step explanation:

(3z)2=6z

Add the negative

-6z

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Paha777 [63]

Answer:

x=16.5

Step-by-step explanation:

-1/2 on both sides

17-0.5 or 1/2=16.5

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3 years ago
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