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3 years ago

12x5 – 10x2 + x – 45

1 answer:

6 0

(a)
$12x ^{5} - 10x ^{2} + x - 45$
(b)we have 4 terms in this expression.
(c)+12 is the leading coefficient in
$12x ^{5}$

(d) constant is -45

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Paha777 [63]

Answer:

$(\pi)r ^{2} h \div 3$

Volume = 3.14 × 5² ×6 ÷ 3

volume = 157 cm³ B

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3 years ago

Find P 20 of the following arithmetic sequence: 206, 212, 218, 224....

Yanka [14]

Answer:

$p_{20} = 1.25528$

P₀ = 206 and difference d = 6

Step-by-step explanation:

Step(i):-

Given that the arithmetic sequence

206,212,218,224,.....

P₀ = 206 and difference d = 212-206 = 6

The $n^{th}$ term of the sequence

$t_{n} = ar^{n-1}$

Step(ii):-

The $n^{th}$ term of the sequence

$P_{n} = ar^{n-1}$

Put n=20

$P_{20} = 206 ( 6) ^{20-1}$

$p_{20} = 1.25528$

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2 years ago

Timothy is filling fish bowls with pebbles at his fish store. He wants to have $\frac{1}{6}$ of a pound of pebbles in each fish

Luba_88 [7]

Answer:

Step-by-step explanation:

Given that:

Each fish bowl to have pebbles of weight equivalent to = $\frac{1}{6}$

Total pounds of pebbles that Timothy can use = $2\frac{1}{3}$

To find:

The greatest value of Total number of fish bowls that Timothy can fill ?

Solution:

First of all, we need to convert mixed fraction into a fractional number and then we also need to see division of two fractions.

Formula:

$1. \ p\dfrac{q}{r} = \dfrac{p\times r+q}{r}\\2. \ \dfrac{\frac{a}{b}}{\frac{c}d}=\dfrac{a\times d}{b\times c}$

Now, the given mixed fraction can be converted to fractional number as:

$2\dfrac{1}{3} = \dfrac{2\times 3+1}{3} = \dfrac{7}{3}$

Now, To find the total number of fish bowls that can be filled, we need to divide the total number of pounds with number of pounds of pebbles in each fish bowl.

So, the answer is:

$\dfrac{\frac{7}{3}}{\frac{1}{6}}\\\Rightarrow \dfrac{7\times 6}{3\times 1}\\\Rightarrow \dfrac{42}{3}\\\Rightarrow \bold{14}$

14 number of fish bowls can be filled.

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3 years ago

Can anybody write and explain this please?

Levart [38]

Answer:38

Step-by-step explanation:

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2 years ago

Kara is 4 more than twice as old as Julia. The sum of their ages is 13. How old is Julia?

Thepotemich [5.8K]

Let julia's age be x
Let Kara's age be 4x
x+4x=13
5x=13
x=13/5
2.6 years

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3 years ago