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jolli1 [7]
3 years ago
15

Which option is correct and how would one solve for it?

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
3 0

Answer:

28

Step-by-step explanation:

We need to find the value of \Sigma_{x=0}^3\ 2x^2

We know that,

\Sigma n^2=\dfrac{n(n+1)(2n+1)}{6}

Here, n = 3

So,

\Sigma n^2=\dfrac{3(3+1)(2(3)+1)}{6}\\\\\Sigma n^2=14

So,

\Sigma_{x=0}^3\ 2x^2=2\times 14\\\\=28

So, the value of \Sigma_{x=0}^3\ 2x^2 is 28. Hence, the correct option is (d).

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Help me it’s urgent
Ket [755]

Answer:

a_1 = -\dfrac{3}{4}

Step-by-step explanation:

a_1 \times r = a_2

a_1 \times r^2 = a_3

a_1 \times r^3 = a_4

...

a_1 \times r^8 = a_9

\dfrac{a_9}{a_4} = \dfrac{a_1 \times r^8}{a_1 \times r^3} = \dfrac{-196}{6}

r^5 = -32

r = -2

a_1 \times r^3 = a_4

a_1 \times (-2)^3 = 6

a_1 = \dfrac{6}{-8}

a_1 = -\dfrac{3}{4}

3 0
3 years ago
Ewans flight is schheduled to travel 1,750 in 3.5 hours . at what rate does it travel per hour
Karo-lina-s [1.5K]

Answer:

It travel at the rate of <u>500 miles per hour</u>.

Step-by-step explanation:

Given:

Ewans flight is scheduled to travel 1,750 miles in 3.5 hours.

Now, to find the rate it travel per hour.

Distance = 1,750 miles.

Time = 3.5 hours.

So, to get the rate we put formula:

Speed=\frac{distance}{time}

Speed=\frac{1750\ miles}{3.5\ hours}

Speed=500\ miles\ per\ hour

Therefore, it travel at the rate of 500 miles per hour.

7 0
3 years ago
Covert the measurements 3km 312m
marin [14]
3,312m is your answer
3 0
3 years ago
If 3x-8=-2 fins the value of x-6
adell [148]

Steps to solve:

3x - 8 = -2; x - 6

~Substitute

3(x - 6) = -2

~Distribute left side

3x - 18 = -2

~Add 18 to both sides

3x = 16

~Divide 3 to both sides

x = 16/3

Best of Luck!

7 0
3 years ago
List all the factors of 14 from least to greatest. Enter your answer below,
Tasya [4]

Answer:

1, 2, 7, 14

Step-by-step explanation:

14 is a composite number. 14 = 1 x 14 or 2 x 7. Factors of 14: 1, 2, 7, 14.

8 0
3 years ago
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