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algol13
2 years ago
9

Which expression represents the value of the series below? 3+ 7 + 11 + 15 + ... + 1,671

Mathematics
1 answer:
torisob [31]2 years ago
4 0

Answer:

Step-by-step explanation:

This is an Arithmetic Series with common difference 4 and first term 3

so the nth term an = 3 + (n -1)4

= 4n - 1.

The sum of n terms

= n/2 (a1 + L)

= n/2(3 + 1671)

=  837n.

There are (1671-3) / 4 + 1 = 418 terms in the series,

so the total value of the series is 837*418

= 349,866.

.

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melisa1 [442]
Hey You!

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9 × 8 = 72

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9 × 10 = 90

9 × 11 = 99

Judging by all the possible lengths above, the only two answers that would provide an area either equal to 90 of greater than 90 are:

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6 0
3 years ago
Read 2 more answers
The circle on the right has center O. Its radius is 3 yd., and the central angle a measures 130°. What is the area of the shaded
Soloha48 [4]

Answer:

area of the sector = 3.25π yard²

Step-by-step explanation:

The radius of the circle is 3 yards . The central angle is 130° let us say it is the sector angle of the circle. The angle is 130°. If the shaded area of the circle is the sector area of the circle the area of the sector can be computed below.

area of a sector = ∅/360 × πr²

where

∅ = center angle

r = radius

area of the sector = 130/360 × π × 9

area of the sector = 1170π/360

area of the sector = 3.25π yard²

If the shaded area is segment. The shaded area can be solved with the formula.

Area of segment = area of sector - area of the triangle

Area of segment =  ∅/360 × πr² - 1/2 sin∅ r²

The picture demonstrate the area of sector and the segment of a circle with illustration on how to compute the area of the triangle

 

7 0
3 years ago
Why does 0.5x0.11 is equal to 0.055
mr_godi [17]
<h2>Answer:</h2>

0.5 x 0.11 is equal to 0.055 <u>because of the zeros and the decimal placements.</u>

<h2>Step-by-step explanation:</h2><h3>How does it work?</h3>

Even though it would seem like the answer would be 0.55, the decimal placement of 0.5 makes it so that the number would change to an extra zero in the final result.

<em>I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!</em>

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6 0
1 year ago
Graph of each function y equals -.2 x + 3
Romashka-Z-Leto [24]

Answer:

Alright well Use the slope Intercept form to find the slope and y-intercept

Slope: - 2

Y-intercept: 3 Hope this helps, and have a nice day :)

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Can someone help me plz...
S_A_V [24]

Answer:

60 475

95 570

130 700

Step-by-step explanation:

subtract 95 from 60 then get that solution and add it to 95. then get 700 and subtract it from 130 then youll get 570 then subtract it again.

3 0
3 years ago
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