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Julli [10]
3 years ago
8

the first term of an arithmetic sequence is -27. the common difference of the sequence is 6. What is the sum of the first 30 ter

ms
Mathematics
1 answer:
Nina [5.8K]3 years ago
4 0

Answer:

1800

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 27 and d = 6, thus

S_{30} = \frac{30}{2} [ (2 × - 27) + (29 × 6) ]

     = 15( - 54 + 174)

     = 15(120)

     = 1800

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What is formula of x+y.
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X plus two over five equals six
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A 12,000-lb killer whale might eat as much as 14,000 lb of fish per month (assume a 30-day month). If the average weight of a ce
brilliants [131]

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2196 fish

Step-by-step explanation:

Weight of fish that the killer whale might eat in a month (30 days) = 14,000 lb

Weight of the fish that killer whale might eat in a day = \frac{14000}{30} = \frac{1400}{3} lb.

Average weight of the fish that killer whale eats = 3.4 oz

Since,

1 pound(lb) = 16 ounces(oz)

So,

Weight of the fish that killer whale might eat in a day in ounces(oz) = \frac{1400}{3} \times 16=\frac{22400}{3} oz

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8 0
4 years ago
What is The Volume? Show Your Work Please
Kazeer [188]

The volume of the given figure is 434 ft³. The volume of the figure is obtained in the two parts.

<h3>What is volume?</h3>

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The volume of the given figure is;

\rm V = l_1 \times b_1 \times h_1 + l_2 \times b_2 \times h_2 \\\\ V= 7 \times 13 \times 4 + 2\times 5 \times 7 \\\\ V= 434 \ fT^3

Hence, the volume of the given figure is 434 ft³.

To learn more about the volume, refer to the link;

brainly.com/question/13338592

#SPJ1

5 0
2 years ago
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