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3 years ago

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under which of the following operations are the polynomials 8a 14 and 3b - 9 not closed? a. subtraction b. multiplication c. add

ition d. division

1 answer:

Alex787 [66]3 years ago

8 0

<span>I think it's a. subtraction.</span>

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Which is equivalent to √/10 * ?<br> O (10) 4x<br> O (10)³x<br> O (10) 4x<br> O (V10)³x

cricket20 [7]

Answer:

Step-by-step explanation:

D is the correct answer

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2 years ago

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Use Gauss's approach to find the following sum (do not use formulas):5+11+17+23...+83

LUCKY_DIMON [66]

Denote the sum by <em>S</em>. So

<em>S</em> = 5 + 11 + 17 + 23 + ... + 83

There's a constant difference of 6 between consecutive terms in <em>S</em>, so the 3 terms before 83 are 77, 71, and 65. So

<em>S</em> = 5 + 11 + 17 + 23 + ... + 65 + 71 + 77 + 83

Gauss's approach involves inverting the sum:

<em>S</em> = 83 + 77 + 71 + 65 + ... + 23 + 17 + 11 + 5

If we add terms in the same position in the sums, we get

2<em>S</em> = (5 + 83) + (11 + 77) + ... + (77 + 11) + (83 + 5)

and we notice that each grouped term on the right gives a total of 88. So the right side consists of several copies <em>n</em> of 88, which means

2<em>S</em> = 88<em>n</em>

and dividing both sides by 2 gives

<em>S</em> = 44<em>n</em>

<em />

Now it's a matter of determining how many copies get added. The terms in the sum form an arithmetic progression that follows the pattern

11 = 5 + 6

17 = 5 + 2*6

23 = 5 + 3*6

and so on, up to

83 = 5 + 13*6

so <em>n</em> = 13, which means the sum is <em>S</em> = 44*13 = 572.

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3 years ago

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Answer:

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3 years ago

The satang coin from Thailand has a radius of about 7 mm

Veseljchak [2.6K]

<u>Given</u>:

The satang coin from Thailand has a radius of about 7 mm.

We need to determine the diameter and circumference of the coin.

<u>Diameter of the coin:</u>

The diameter of the coin can be determined by multiply the radius by 2.

Thus, we have;

$d=2r$

Substituting r = 7, we get;

$d=2(7)$

$d=14 \ mm$

Thus, the diameter of the coin is 14 mm.

<u>Circumference of the coin:</u>

The circumference of the coin can be determined using the formula,

$C=\pi d$

Substituting $\pi=3.14$ and $d=14$ , we get;

$C=(3.14)(14)$

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Thus, the approximate value of the circumference of the coin is 43.96 mm

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3 years ago

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irga5000 [103]

Answer:

The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.

Step-by-step explanation:

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3 years ago