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ExtremeBDS [4]
3 years ago
11

the nth term of a sequence is given by an²+bn where a and b are integers the 2nd term of the sequence is 2 4th term of the seque

nce is 20. find the 6th term of the sequence
Mathematics
2 answers:
stealth61 [152]3 years ago
7 0

Answer:

54

Step-by-step explanation:

Tn = an²+bn

T2 = a2²+2b

2 = 4a +2b

Multiply all through by 2

4 = 8a +4b

4b = 4-8a

T4 = a4² + 4b

20 = 16a +4b

4b = 20-16a

4-8a = 20-16a

16a -8a = 20-4

8a = 16

a = 16/8 = 2

4b = 4-8a = 4-8(2) = 4-16 = -12

b = -12/4 = -3

T6 = a6² + 6b

T6 = 2(36) + 6(-3) = 72 -18 = 54

alex41 [277]3 years ago
4 0

Answer:

54

Step-by-step explanation:

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Round 9.17302 to the nearest thousandths tenths and nearest unit
statuscvo [17]

Answer:

170000

Step-by-step explanation:

17000

4 0
3 years ago
Kate made a box to hold her jewelry collection. She used 42 inches of wood to build the sides of the box. If the box was 9 Inche
Vladimir [108]
Assuming that the sides of the box are square (having 90° angles on all four corners), then it should be relatively easy for us to find the length of the box, given the perimeter and the length of one side.
We know the length of all sides combined is 42 inches, and that the length of one side is 9 inches. With a rectangular prism, the length of one side is the same as the length of the opposite side, so there are two sides that measure 9 inches.
All we need to do to find the measure of both the other sides' lengths is subtract the known lengths from the total length.

9 + 9 = 18

42 - 18 = 24

So the rest of the side lengths added together is 24 inches.
There are two sides left, so all we have to do is divide by 2 to find the length of the box.

24 / 2 = 12

The length of Kate's jewelry box is 12 inches.
Hope that helped =)
3 0
3 years ago
Pls help me asap!!!!
katrin [286]

Answer:

jkjljhlmkjv'kbkhhjhhjvjvnklkljjjhjghfjfjhghgcfdjgjhdfdjhbkrfbv,mregjhb,nvjgvbfdszjhlefahgksdwGHKSEFAI F

Step-by-step explanation:

SDJGHBXCDGHBJVHKJDAJKLXDCZJKHBCVFJKHGBKJVCJKHNVJHKNDXCJKCKJNVJBHNCFDVJKDXCHBNCVJKNGFUJHKEDSYHGDSEFIUJKFGUIYHJJHGHJFGJKIFGJKILFGJKHJKGKJGJKJTJNKGBJKNGFJKGFJKGBJKGBJKLMBJIKGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVGBVCJIKGBVNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNLCIKJNHFDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDCVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVXXXXXXXXXXXXXXXXXXXXXXMGNJ,FGKJGBNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNBJLLLLLLGB NH6

5 0
3 years ago
The number of chocolate chips in an 18-ounce bag of Chips Ahoy! chocolate chip cookies is approximately normally distributed wit
sineoko [7]

Answer:

a) 0.013

b) 0.7

c) 0.866

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1262

Standard Deviation, σ = 118

We are given that the distribution of number of chocolate chips is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(fewer than 1000 chocolate chips)

P(x < 1000)

P( x < 1000) = P( z < \displaystyle\frac{1000 - 1262}{118}) = P(z < -2.220)

Calculation the value from standard normal z table, we have,  

P(x < 1000) = 0.013 = 1.3\%

b) P(contains more than 1200 chocolate chips)

P(x > 1200) = P(z > \displaystyle\frac{1200-1262}{118}) = P(z > -0.5254)\\\\P( z > -0.5254) = 1 - P(z \leq -0.5254)

Calculating the value from the standard normal table we have,

1 - 0.300 = 0.7 = 70\%\\P( x > 1200) = 0.7

c)P(contains between 1000 and 1400 chocolate chips)

P(1000 \leq x \leq 1400) = P(\displaystyle\frac{1000 - 1262}{118} \leq z \leq \displaystyle\frac{1400-1262}{118}) = P(-2.22 \leq z \leq 1.169)\\\\= P(z \leq 1.169) - P(z < -2.22)\\= 0.879 - 0.013 = 0.866 = 86.6\%

P(1000 \leq x \leq 1400) = 86.6\%

6 0
3 years ago
On the planet Pisquet, there are 6 elentries to every 13 corazs. If farmer Dubble has 40 corazs on her joogh farm, how many elen
Luba_88 [7]

Answer: See explanation

Step-by-step explanation:

Let the number of elentries that are on the farm be represented by x.

The information given in the question can then be formed into an equation as:

6/13 = x/40

Cross multiply.

13 × x = 6 × 40

13x = 240

x = 240/13

x = 18.46

4 0
3 years ago
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