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3 years ago

Find the next term in the sequence 15 , 34 , 55 , 78 , 103

1 answer:

6 0

The next term in the sequence will be increased by 27. The difference between 15 and 34 is 19 The difference between 34 and 55 is 21 The difference between 55 and 78 is 23 The difference between 78 and 103 is 25 Following this pattern, the next number will be 130

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The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. A wind speed of 37 miles per ho

vfiekz [6]

Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.

Step-by-step explanation:

The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that

P is directly proportional to S

Introducing a constant of proportionality, k, it becomes

P = kS

A wind speed of 37 miles per hour produces a power output of 750 kilowatts. This means that

750 = k × 37

k = 750/37 = 20.27

The expression becomes

P = 20.27S

Therefore, the output for a wind speed of 40 miles per hour would be

P = 20.27 × 40

P = 810.8

6 0

3 years ago

All the dimensions of a pentagon were multiplied by the same factor, and the area of the figure changed by a factor of 25. By wh

elena-s [515]

5

reason is because if you’re pentagon has lines of 5 then the area would be 25

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2 years ago

Hellllppppppppppp!!!! Please

ella [17]

Answer:

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Step-by-step explanation:

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7 0

3 years ago

Whats the domain of f(x)=x^2+6x-3

pickupchik [31]

Hello!!

The domain of any polynomial expression is all real numbers from -infinity to +infinity. This is due to the leading x^2 term!

Hope this helps you understand! Thank you!!

3 0

3 years ago

What is the square root of <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B163%7D%20" id="TexFormula1" title=" \sqrt{163} " a

crimeas [40]

Hi,

$\sqrt{163} = 12.76$

There are no other simple steps to reduce the square root of one hundred and sixty-three.

The actual square root value is ≈12.767145334803704

But we have taken only significant figures and it is as 12.76.

Hope it helps! :)

5 0

3 years ago