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3 years ago

Find the sum of the first 48 terms of the following series, to the nearest integer.

Mathematics

2 answers:

Usimov [2.4K]3 years ago

5 0

Step-by-step explanation:

∑k=150(3k+2)

First find a1 and a50 :

a1=3(1)+2=5a20=3(50)+2=152

Then find the sum:

Sk=k(a1 + ak)2S50=50(5 + 152)2=3925

Paladinen [302]3 years ago

5 0

Answer:

3672

Step-by-step explanation:

Delta math

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The volume of a beack ball is 905 square centimeters. Find the radius of the ball to the nearest whole number.

lubasha [3.4K]

<h3>given:</h3>

$v = 905 \: {cm}^{3}$

the radius of the given ball (sphere).

<h3>solution:</h3>

$r = \sqrt[3]{ \frac{3v}{4\pi} }$

$r = \sqrt[3]{ \frac{3 \times 905}{4\pi} }$

$r = 6 \: cm$

therefore, the radius of the ball is 6 cm.

note: refer to the picture I added on how you can change r as the subject of the formula.

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2 years ago

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3 years ago

A sporting goods store has a sale on soccer balls: if you buy two soccer balls at the regular price, you get a third soccer ball

Snowcat [4.5K]

Answer:

The regular price of the balls is $8

Step-by-step explanation:

The sporting goods store sales promotion is as follows;

The price of the third ball after buying two balls at regular price = $1.00

The price of the number of balls Coach John pays for the balls he bought = $136

To buy 24 balls, we have;

2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1

Therefore;

The number of balls bought at regular price = The sum of the 2s = 16 balls

The number of balls bought for $1 = 24 - 16 = 8 balls

Let x represent the regular price of the balls, we have;

16 × x + 8 = 136

16·x = 138 - 8 = 128

x = 128/16 = 8

The regular price of the balls = x = $8.

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3 years ago

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Ivanshal [37]

Answer:

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andrey2020 [161]

Answer:

The answer is 20 feet

Step-by-step explanation:

We know that her apartment sketch is 6 by 4 inches.

If the 6 inch side is actually 30 feet and 6 goes into 30 5 times, we should multiply 4 by 5 to get proportionate answers.

Therefore her apartment is 20*30 feet

Hope this helps

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3 years ago