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AURORKA [14]
3 years ago
14

Use the grouping method to factor the polynomial completely.

Mathematics
1 answer:
Mumz [18]3 years ago
5 0
Hmm
we can factor a 3x^4 from everybody

3x^4(3x^5-8x-4)

B is answer
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During a figure skating routine, Jackie and Peter skate apart with and angle of 15 degrees between them. Jackie skates for 5 met
Xelga [282]

Answer:

The skaters are 2.5 feet apart

Step-by-step explanation:

Firstly, please check attachment for diagrammatic representation.

To calculate the distance apart, this is same as the length PJ

To calculate this length, we can use the cosine rule as follows;

O^2 = P^2 + J^2 -2(P)(J)Cos 15

O^2 = 7^2 + 5^2 -2(7)(5)Cos 15

O^2 = 49 + 25 - 70Cos15

O^2 = 74 - 67.61

O^2 = 6.39

O = √6.39

O = 2.53

O = 2.5 feet to the nearest tenth of a foot

3 0
3 years ago
3.14 times 16 divided by 3
AleksAgata [21]

Answer:

The answer is 16.746667

Step-by-step explanation:

1) Simplify 3.14 × 16 to 50.24.

50.24 \div 3

2) Simplify 50.24 ÷ 3 to 16.746667.

16.746667

<u>Therefor</u><u>. </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>16.746667.</u>

5 0
3 years ago
Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con
monitta

Let f(x)=e^{-1/x}. Then f'(x)=\frac1{x^2}e^{-1/x}>0 for all x\ge2, so f is strictly increasing. As x\to\infty, e^{-1/x}\to e^0=1, so f is bounded above by 1. This is to say,

e^{-1/x}

and the integral of \frac1{x^2} converges over the same domain, so this integral must also converge by comparison.

We have, by setting y=-\frac1x,

\displaystyle\int_2^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx=\int_{-1/2}^0e^y\,\mathrm dy=e^0-e^{-1/2}=1-\frac1{\sqrt e}

8 0
3 years ago
11. Three lines that intersect at one point
Evgesh-ka [11]

Answer:skew lines

Step-by-step explanation:

7 0
3 years ago
Show 53 in 10's and 1's?
Lana71 [14]
53 is 5 tens and 3 ones
8 0
3 years ago
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