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wlad13 [49]
3 years ago
10

I need help on this and more so can sb help me ?..

Mathematics
1 answer:
nignag [31]3 years ago
4 0

Answer:

Its the 2nd one

Step-by-step explanation:

Simplify the exponents and then multiply

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In an arithmetic sequence, t4 + t5 + t6 = 300, and t15 +t16+ t17 = 201. Find t18.
stiks02 [169]
In an arithmetic sequence:
Tn=t₁+(n-1)d

t₄=t₁+(4-1)d=t₁+3d
t₅=t₁+(5-1)d=t₁+4d
t₆=t₁+(6-1)d=t₁+5d

t₄+t₅+t₆=(t₁+3d) +(t₁+4d)+(t₁+5d)=3t₁+12d

Therefore:
3t₁+12d=300    (1)


t₁₅=t₁+(15-1)d=t₁+14d
t₁₆=t₁+(16-1)d=t₁+15d
t₁₇=t₁+(17-1)d=t₁+16d

t₁₅+t₁₆+t₁₇=(t₁+14d)+(t₁+15d)+(t₁+16d)=3t₁+45d

Therefore:
3t₁+45d=201    (2)

With the equations (1) and (2) we make an system of equations:

3t₁+12d=300
3t₁+45d=201

we can solve this system of equations by reduction method.

  3t₁+12d=300
-(3t₁+45d=201)
-----------------------------
       -33d=99      ⇒d=99/-33=-3

3t₁+12d=300
3t₁+12(-3)=300
3t₁-36=300
3t₁=300+36
3t₁=336
t₁=336/3
t₁=112

Threfore:

Tn=112+(n-1)(-3)
Tn=112-3n+3
Tn=115-3n

Now, we calculate T₁₈:

T₁₈=115-3(18)=115-54=61

Answer: T₁₈=61




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Which of the following is closest to the actual distance in miles?
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Answer:

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Step-by-step explanation:

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3 years ago
3 times the sum of y and 9 <br><br> in algebraic expression please help me out!!
Ray Of Light [21]

3(y+9)

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3 0
3 years ago
Pythagorean Theorem POSSIBLE POINTS : 13:33 Two joggers run 12 miles north and then 8 miles west. What is the shortest distance
ivann1987 [24]

Answer:

14.4 miles

Step-by-step explanation:

Given that :

Distance moved North = 12 miles

Distance moved West = 8 miles

Shortest distance to reach starting point :

Let shortest distance to reach starting point = d miles

Using the relation :

Longest side of a right angled triangle:

d = sqrt(8^2 + 12^2)

d = sqrt(64 + 144)

d = sqrt(208)

d = 14.422205

d = 14.4 miles (nearest tenth of a mile)

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2 years ago
How to write 637,853 in words
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Six hundred  thirty seven thousand eight hundred fifty  three 

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