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3 years ago

Complete the explicit formula of the arithmetic sequence

Mathematics

1 answer:

alexandr1967 [171]3 years ago

6 0

Answer:

a. a^n = 8n - 19

b. a^n = 81 - 27(n - 1) = 81 - 27n + 27 = 108 - 27n

c. a^n = -5+18(n-1)

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Which quadratic equation has roots-8 + 3i and -8 - 3i?

marusya05 [52]

The two roots are

$\alpha = -8+3i,~~~ \beta = -8-3i\\\\\\x^2 - (\alpha + \beta)x + \alpha \beta = 0\\\\\implies x^2 - (-8+3i-8-3i)x + (-8+3i)(-8-3i)=0\\\\\implies x^2 +16x + (-8)^2+3^2 =0\\\\\implies x^2 +16x +64+9=0\\\\\implies x^2 +16x +73$

Hence the answer is D.

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3 years ago

I am a multiple of 30 if you round me to the nearest hundred you get 400 what number could I be?

Anvisha [2.4K]

390 should be the correct answer

5 0

3 years ago

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A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel

Yuki888 [10]

Answer:

if 200,000 is equal to 100% then 1% is equivalent to 2,000. so 130,000 is equivalent to 65%

Step-by-step explanation:

130,000 divided by 2,000 is equal to 65

8 0

3 years ago

What is 2+6*5/8 ? I need help with this math problem , thank you.

vampirchik [111]

Hey.

I hope that you're familiar with P.E.M.D.A.S :)

applying PEMDAS :

2 + 6 × 5 ÷ 8

2 + 30 ÷ 8

32 ÷ 8 = 4

Hence, The required answer is 4

Thanks.

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4 years ago

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How do you write 1.3 × 105 in standard form?

emmainna [20.7K]

Given:

The scientific notation of a number is $1.3\times 10^5$ .

To find:

The standard form of the given number.

Solution:

Standard form: The normal way of writing a number is called standard form. For example: 200, 25600, 1025000 etc.

We have,

$1.3\times 10^5$

It can be written as

$1.3\times 10^5=1.3\times 100,000$

$1.3\times 10^5=130,000$

Therefore, the standard form of the given number is 130,000.

7 0

3 years ago