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frez [133]
2 years ago
5

Given a sequence is defined by the explicit definition t_n= n^2+nt n = n 2 + n, find the 4th term of the sequence. (i.e. t_4t 4)

Mathematics
2 answers:
Ne4ueva [31]2 years ago
7 0

<em>*100% CORRECT ANSWERS</em>

kykrilka [37]2 years ago
5 0

Answer:

Question 1:  20

Question 2: 27

Step-by-step explanation:

Question 1:  

Given a sequence is defined by the explicit definition t_{n} = n^{2} + n

Therefore, the 4th term i.e. t_{4} = 4^{2} + 4 = 20 (Answer)

So, the third option is correct.

Question 2:  

Given a sequence is defined by the explicit definition t_{n} = 2^{n} - n

Therefore, the 5th term i.e. t_{5} = 2^{5} - 5 = 27 (Answer)

So, the third option is correct.

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Suppose that the local sales tax rate is 5 %
bazaltina [42]

Answer:

A: Tax paid us $1370

B: Total cost= car cost + taxes

$27,400+ $1370

=$28,770

Step-by-step explanation:

4 0
2 years ago
A flagpole casts a 40 foot shadow. The angle of elevation grom the tip of the shadow to the tip of the flagpole is 36". How tall
GuDViN [60]

Answer:

45/22

Step-by-step explanation:

6 0
3 years ago
Find the radius of a circle with a circumference of 96 feeer
Gnesinka [82]
The formula for circumference is C = 2πr.

The question gives you the circumference (C in the formula), and you need to find the radius (r in the formula). Begin by isolating r in the circumference formula.

C = 2πr
C/2π = r
r = C/2π

Now you can plug 96 for C and solve to find r.

r = C/2π
r = 96/2π
r ≈ 96/6.28
r ≈ 15.29

Answer:
The radius of a circle with a circumference of 96 feet is approximately 15.29 feet.
3 0
2 years ago
Read 2 more answers
Answer please GIVING BRAINLIEST
Kaylis [27]

Answer:

see below

Step-by-step explanation:

defining variables:

since you are trying to find t shirt cost and jeans cost, your variables would be

the cost of the t shirt and the cost of jeans, denoted by any variable you want.

I'll use x and y since they are the most common variables (x = shirt y = jeans)

Equation

4 shirts + 5 jeans = 160 dollars

4x + 5y = 160 (the cost of 4 shirts + the cost of 5 jeans is $160)

the cost of 2 shirts + 6 jeans = $150

2x + 6y = 150

3 0
2 years ago
Read 2 more answers
Midpoint (-10,9), (3,8)
solniwko [45]

Answer:

(-3.5 8.5)

Step-by-step explanation:

Midpoint Formula: (\frac{x2 + x1}{2}, \frac{y2 + y1}{2})

What I did: -10 + 3 = 7, 7 / 2 = 3.5 x = 3.5 | 9 + 8 = 17, 17 / 2 = 8.5

Midpoint = (-3.5, 8.5)

8 0
3 years ago
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