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aalyn [17]
3 years ago
14

A package of 30 scented pencils costs $24.90. At this rate, what is the

Mathematics
1 answer:
masya89 [10]3 years ago
8 0

Answer:

.83 cents

Step-by-step explanation:

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If [infinity] cn8n n = 0 is convergent, can we conclude that each of the following series is convergent? (a) [infinity] cn(−3)n
pashok25 [27]

Answer:

a) we know that this is convergent.

b) we know that this might not converge.

Step-by-step explanation:

Given the \sum^\infty_{n=0}C_n8^n is convergent

Therefore,

(a)  \sum^\infty_{n=0}C_n(-3)^n The power series \sum C_nx^n has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3

∴ \sum^\infty_{n=0}C_n(-3)^n  is convergent.

(b) \sum^\infty_{n=0}C_n(-8)^n -8 could be right on the edge of the interval of convergence, and so might not converge

8 0
3 years ago
2x+5=10<br> I need to find out x pls help​
Finger [1]

Answer:

5

Step-by-step explanation:

2x + 5 = 10

you minus the 5

2x = 5

you divide both sides by 2

x = 5

7 0
4 years ago
Read 2 more answers
Which of the following points is a solution to the system of equations shown?
puteri [66]
Using Substitute method:

Replace y value of equation 2 into equation 1:
4x + (x+6) = 1

Solve for x:
4x + x + 6 = 1
5x = 1 - 6
5x = -5
x = -5/5
x = -1

Pick any of the two equation, replace x with it's value -1 and solve for y:
y = (-1) + 6
y = -1 + 6
y = 5

Solution: (-1, 5)
5 0
3 years ago
Chords with inscribed angles
Serhud [2]

Answer:

A:

i) ∠ABC is an inscribed angle

ii) ∠ATC is a central angle

B: ∠ABC = 150/2 = 75°

C: ∠ATC = 150°

5 0
3 years ago
Write two equivalent expressions for the following expression: 3x-12​
kogti [31]

Answer:

3(1x-4) and (2x+1)-(6+6)

Step-by-step explanation:

3 0
3 years ago
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