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3 years ago

What is the 5th term in the following sequence: 2, 5, 11, 23... Helpppp

1 answer:

4 0

Answer:The first few Thabit numbers are: 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, 98303, 196607, 393215, 786431, 1572863, ...

...

Thabit number.

Named after Thābit ibn Qurra

First terms 2, 5, 11, 23, 47, 191, 383, 6143, 786431

Largest known term 3×211,895,718 − 1

OEIS index A007505

Step-by-step explanation:

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Rose has a playlist with 40 rock songs and 28 country songs. What is the ratio of country songs to rock songs on the playlist?

cupoosta [38]

The answer is 10:7, 10/7, 10 to 7. Whichever it's asking for. As long as you know the ratio is 10 rock songs to 7 country songs.

This problem can be a simple fraction simplification problem. Here's what I mean:

So, we have 40 rock songs and 28 country songs. Let's put that into a fraction:

 $\frac{40}{28}$

To simplify this as much as possible, all we have to do is find the greatest common multiple and divide it by both numbers. the GCF is 4, so all you have to do is divide 40 by 4 and 28 by 4 to get your ratios.

I hope this helped!!

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3 years ago

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Find the value of x to the nearest tenth.

BlackZzzverrR [31]

Answer:

x = 8.0

Step-by-step explanation:

sin theta = opposite/ hypotenuse

sin 53 = x/10

Multiply by 10 on each side

10 sin 53= x

7.9863551 =x

Rounding to the nearest tenth

8.0 =x

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3 years ago

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Solve 3x-2/4 - 2x-5/3 = 1+x/6

elena-14-01-66 [18.8K]

Answer:

x = 3.8

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3 years ago

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What is the sum or difference?

dlinn [17]

1. Ans: Option (B) $-6x^4$

Explanation:
Given: $2x^4 - 8x^4$
Take the common out:
=> $x^4(2 - 8)$

Hence: => $[tex]-6x^4$ [/tex] (Option B)

2. Ans: Option (D) $-3y^5$

Explanation:
Given: $6y^5 - 9y^5$
Take the common term(s) out:
=> $y^5(6-9)$

Hence: => $-3y^5$ (Option D)

3. Ans: Option (B) $9x^2 - 12x + 6$ quadratic trinomial

Explanation:
Given: $6 - 12x + 13x^2 - 4x^2$

The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.

=> $13x^2 - 4x^2 - 12x + 6$
=> $9x^2 - 12x + 6$ (Option B)

4. Ans: Option (C) $7.3x^2 + 0.8x + 1.3$

Explanation:
In order to find the total number of Common and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:

Common guppies: $3.1x^2 +6.0x + 0.3$ 
Endler's guppies: $4.2x^2 - 5.2x + 1.0$
(add both)
-----------------------------------------------------------------
Total number: $7.3x^2 +0.8x + 1.3$
-----------------------------------------------------------------
Hence the ans is Option(C) $7.3x^2 + 0.8x + 1.3$

5. Ans: Option (D) $2x^2(133 - 18 \pi )$

Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x = $266x^2$

Now the area of the circular fountain:
Area of the Circular Fountain = $\pi r^2$
Since, r=6x
Therefore,
Area of the Circular Fountain = $\pi (6x)^2 = 36 \pi x^2$

Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = $266x^2$ - $36 \pi x^2$
=> Final area of the Yard = $2x^2(133 - 18 \pi)$ (Option D)

6. Ans: Option (A) $56x^2$

Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x = $60x^2$

Now the area of the stadium:
Area of the stadium = 1x * 4x = $4x^2$

Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= $60x^2$ - $4x^2$
=> Final area of the lot = $56x^2$ (Option A)

-i

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3 years ago

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Janet’s savings account has $12.10 more than the $242 it had at the beginning of the year. What percent more was in the savings

Ilia_Sergeevich [38]

5% is the answer!! :)

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3 years ago