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yanalaym [24]
3 years ago
12

Find the 29th term in the arithmetic sequence: -13, -6, 1, 8........

Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0

Answer:

183

Step-by-step explanation:

a₁ = -13

common difference = a₂ - a₁

                                 = (-6) - (-13)

                                = -6 + 13

                               d = 7

nth term = a₁ + (n - 1)d

29th term = -13 + 28 * 7

               = -13 + 196

               = 183

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Aditi can walk 1.7 miles in half an hour. At the same constant speed, how many hours would it take her to walk 17 miles?
blondinia [14]

Answer:

It takes aditi 5 hours to walk 17 miles.

Step-by-step explanation:

First, find her speed in miles per hour.

1.7 miles in half an hour.

1.7 * 2 = 3.4

3.4 miles per hour.

To find the time, use the distance formula.

Distance = rate * time

17 = 3.4 * time

17/3.4 = time

5 = time

8 0
2 years ago
Can someone please help
Sloan [31]

Answer:

41

Step-by-step explanation:

an = a1 + (n-1)d

a_n = the nᵗʰ term in the sequence = 10

a_1 = the first term in the sequence = 5

d = the common difference between terms = 4

a10 = 5 + (10-1)4

a10 = 5 + (9)4

a10 = 5 + 36

a10 = 41

7 0
2 years ago
Complete the table to represent how much each individual monthly deposit of $50 will be worth at the end of 12 months.
densk [106]
Hold on let me go do my research I’ll brb .
3 0
3 years ago
Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A
Vesna [10]

Answer:  The required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

Step-by-step explanation:  We are given to find the characteristic polynomial  of the following 3 × 3 matrix A  with unknown variable x :

A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].

We know that

for any square matrix M, the characteristic polynomial is given by

|M-xI|=0, where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow  (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.

Thus, the required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

6 0
3 years ago
Can someone help me with this
ludmilkaskok [199]

Answer:

A

Step-by-step explanation:

1/2r +1/2= -2/7r  -29/7 Subtracting 1/2 from both sides

1/2r +1/2 - 1/2= -2/7r  -29/7- 1/2

1/2r = -2/7r  - 29(2)-7/14

1/2r = -2/7r  -65/14

3 0
2 years ago
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