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dolphi86 [110]
3 years ago
11

Another sigma notation question. Please check. Hopefully I did this one correctly!

Mathematics
1 answer:
Neko [114]3 years ago
8 0

Answer:

Your answer is correct.  The series is a geometric series with common ratio -1/4 and first term 40.  So each term is:

an = 40 (-1/4)^(n−1)

So the sum of the first 10 terms is:

∑(n=1 to 10) [ 40 (-1/4)^(n−1) ]

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The set of x valúes of a function this is another name of range
marin [14]

Answer:

  False?

Step-by-step explanation:

We can't tell what the question is here, but it looks like you want to know about the definition of domain and range.

The set of x-values is the <em>domain</em>.

The set of y-values is the <em>range</em>.

__

"range" is <u>not</u> another name for the set of x-values.

8 0
3 years ago
The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.
QveST [7]

Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.

<h3>What is the Length of an Arc?</h3>

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}

where

θ is the angle, that which arc creates at the centre of the circle in degree.

Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,

The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m

Hence, the length of the arc m∠QPR is 2.8334π m.

Learn more about Length of an Arc:

brainly.com/question/1577784

#SPJ1

4 0
2 years ago
What is the acceleration due to gravity of a planet where a mass of 45.0 kg has a weight of
AnnZ [28]

Answer:

Normally, Acceleration due to gravity is

9.8m/s^2\\

or

10m/s^2

Step-by-step explanation:

From the web

These two laws lead to the most useful form of the formula for calculating acceleration due to gravity: g = G*M/R^2, where g is the acceleration due to gravity, G is the universal gravitational constant, M is mass, and R is distance

6 0
4 years ago
The original cost of a pair of shoes is 850dhs. The store offers a markup of 30%. Find the retail price of pair of shoes.
mamaluj [8]

Answer:

Step-by-step explanation:

7 0
3 years ago
Find a sum equivalent to the product shown.<br> 4(z + x)
Sergeeva-Olga [200]

Answer:

4z+4x

Step-by-step explanation:

6 0
3 years ago
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