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Art [367]
3 years ago
9

Find the sum of the first 48 terms of the following series, to the nearest integer.

Mathematics
2 answers:
Usimov [2.4K]3 years ago
5 0

Step-by-step explanation:

∑k=150(3k+2)

First find a1 and a50 :

a1=3(1)+2=5a20=3(50)+2=152

Then find the sum:

Sk=k(a1 + ak)2S50=50(5 + 152)2=3925

Paladinen [302]3 years ago
5 0

Answer:

3672

Step-by-step explanation:

Delta math

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A smaller square is located inside a larger square. the length of the smaller square is 7 cm, and the length of the square is 12
patriot [66]
Let S=larger square side and s=smaller square side.  The area between the larger and smaller is simple the larger area minus the smaller area.  The area of any square being s^2.  So our remaining area is:

A=S^2-s^2

A=144-49=95 cm^2
7 0
3 years ago
A woman is walking at the rate of 90 yards per minute. How fast is she going in feet per second?
motikmotik

Answer:

She is going at the rate of 4.5 feet per second.

Step-by-step explanation:

Given:

The rate of walking is 90 yards per minute.

Now, to find the rate in feet per second.

1 yard = 3 foot.

1 minute = 60 seconds.

So, first we find the rate of walking per second in yard = 90\div 60

Therefore by dividing we get = 1.5 yard

Now, we find the rate of walking per second in feet = 1.5\times 3

So, by multiplying we get = 4.5 feet

Therefore, she is going at the rate of 4.5 feet per second.

3 0
3 years ago
Find the slope of the line.
Lera25 [3.4K]

Answer:

  = -3

Step-by-step explanation:

Find 2 points

(-2, 4) and (1,-5)

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = (-5-4)/(1 - -2)

    = -9/(1+2)

    = -9/3

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4 0
3 years ago
Hi guys can you answer my math question​
fredd [130]

Answer:

4

Step-by-step explanation:

It is. I just know it lol

5 0
3 years ago
Read 2 more answers
6 3x−8≤23 AND −4x+26≥63
Airida [17]

The solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4

<h3>How to determine the solution to the compound inequality?</h3>

The compound inequality is given as:

3x−8≤23 AND −4x+26≥63

Rewrite properly as:

3x − 8 ≤ 23 AND −4x + 26 ≥ 63

Add to both sides of compound inequality ,the constant in the compound inequality expression

So, we have:

3x ≤ 31 AND −4x ≥ 89

Divide both sides of compound inequality, by the coefficient of the variable x in the compound inequality expression

So, we have:

x ≤ 31/3 AND x ≤ -89/4

hence, the solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4

Read more about compound inequality at

brainly.com/question/1604153

#SPJ1

8 0
1 year ago
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