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Jet001 [13]
3 years ago
11

the 41st term of the arithmetic sequence is -539 and the 54th term is -708. Find the value of the 80th term

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

Answer:

a _{n} = a _{1} + (n - 1)d \\ a _{41} =  - 534 \\ a _{54} =  - 708 \\  a _{41} =  a _{1} + (41 - 1)d = - 534  \\  a _{1} + 40d = - 534 \:  \: ...(1)\\ a _{54} =  a _{1} + (54 - 1)d =- 708 \\ a _{1} + 53d = - 708 \:  \: ...(2)

Try to solve the similtanious equation to find the first term and the common difference, then use that information to figure out the 80th term... Update me if you need further help ...

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What is the complement of the supplement of 130 degrees?​
Brut [27]

Answer:

50°

Step-by-step explanation:

180° - 130° = 50°

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5 0
2 years ago
Answer this question
Murljashka [212]

Answer:

a = p * q

b = p * s + q * r

c = r * s

Step-by-step explanation:

In the trinomial ax² + bx + c

a is the coefficient of x²

b is the coefficient of x

c is the numerical term

∵ The trinomial is ax² + bx + c

∵ Its factors are (px + r) and (qx + s)

∴ ax² + bx + c = (px + r)(qx + s)

∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)

∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs

∴ ax² + bx + c = pqx² + (ps + qr)x + rs

→ By comparing the two sides

∵ ax² = pqx² ⇒ divide both sides by x²

∴ a = pq

∵ bx = (ps + qr)x ⇒ Divide both sides by x

∴ b = ps + qr

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5 0
3 years ago
For each correlation coefficient below, calculate what proportion of variance is shared by the two correlated variables:
Viefleur [7K]

Answer:

A. 0.0625

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Step-by-step explanation:

The proportion of variance is shared by the two correlated variables is given as the r².

Therefore,

For A. r = 0.25

Proportion of variance is shared by the two correlated variables = 0.25²

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For B. r = 0.33

Proportion of variance is shared by the two correlated variables = 0.33²

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For C. r = 0.90

Proportion of variance is shared by the two correlated variables = 0.90²

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Proportion of variance is shared by the two correlated variables = 0.14²

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3 years ago
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Answer:

-2/3x + y = -7

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3 0
2 years ago
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