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user100 [1]
3 years ago
6

Find the sum of the sequence 36 37 38 39 ... 109=

Mathematics
1 answer:
uysha [10]3 years ago
8 0
It's an arithmetic sequence:

a_1=36;\ a_2=37;\ a_3=38;\ ...\ ;\ a_{74}=109\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\a_1=36;\ n=74;\ a_{74}=109\\\\S_{74}=\dfrac{36+109}{2}\cdot74=\dfrac{145}{2}\cdot74=72.5\cdot74=5365
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What do you call the absolute values of 6 and -6
coldgirl [10]

I believe they are called opposites.

3 0
4 years ago
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Elenna [48]

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8 0
2 years ago
Can anyone help solve question3 the (ii) and the question2 match the following
Trava [24]

Answer:

2.

i) (c)

ii) (d)

iii) (b)

iv) (a)

3.

ii)  80°

Step-by-step explanation:

2.

i) 2x+x+3x=180°

x=30°

ii) x+110=180

x=70

iii) x+2x+30°=180

x=50°

iv) 2x+15°+45°+x=180

3x+60°=180

x=40°

3.

ii) 2x+5+25=180°

2x+30°=180°

x=75°

the measure:  x+5°= 75°+5°=80°

3 0
3 years ago
Rewrite in simplest terms: (4x+5)+(−5x−1) pls help
IrinaVladis [17]

Answer:

-x + 4

Step-by-step explanation:

(4x+5)+(−5x−1)

4x+5−5x−1  [Remove the parentheses]

-x + 4           [Combine Like Terms]

7 0
2 years ago
Read 2 more answers
Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles. She was able to average 50
Nostrana [21]

Answer:

  • 50 mph: 4 h
  • 45 mph: 2 h

Step-by-step explanation:

Let t represent the time driving at 50 mi/h. Then her total distance driven (in miles) is ...

  distance = speed · time

  290 = 50t + 45(6-t)

  20 = 5t . . . . . . . . . . . subtract 270, collect terms

  4 = t . . . . . . divide by the coefficient of t

Taylor drove 4 hours at 50 miles per hour, then 2 hours at 45 miles per hour.

6 0
3 years ago
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