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azamat
3 years ago
6

Is three a solution of z^2 +1=4+3z?

Mathematics
1 answer:
DiKsa [7]3 years ago
8 0

Answer:

no

Step-by-step explanation:

z^2 +1=4+3z

Substitute into the equation and see if it is true

3^2 +1 = 4+3(3)

9+1 = 4+9

10 = 13

This is not a true statement so this is not a solution

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Suppose you have already been waiting for one hour for a taxi. what is the probability that one arrives within the next 10 minut
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P (X > 70 | X > 60) = P (X > 10) = 1 – P (X ≤ 10) = 1 – {1 – e ^ -((1 / 10) 10)} = e ^ -1

= 0.3679

 

The probability of one arrives within the next 10 minutes when he already been waiting for one hour for a taxi is 0.3679

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What is the slope of a line that is perpendicular to the line x=-3?
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two terms of an arithmetic sequence are a6= 40 and a20= -16. write and explicit rule for the nth term
Lana71 [14]

Answer:

Tn = 64-4n

Step-by-step explanation:

The nth term of an AP is expressed as:

Tn = a+(n-1)d

a is the common difference

n is the number of terms

d is the common difference

Given the 6th term a6 = 40

T6 = a+(6-1)d

T6 = a+5d

40 = a+5d ... (1)

Given the 20th term a20 = -16

T20 = a+(20-1)d

T20 = a+19d

-16 = a+19d... (2)

Solving both equation simultaneously

40 = a+5d

-16 = a+19d

Subtracting both equation

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56 = -14d

d = 56/-14

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Substituting d = -4 into equation

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a = 20+40

a = 60

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Tn = a+(n-1)d

Tn = 60+(n-1)(-4)

Tn = 60+(-4n+4)

Tn = 60-4n+4

Tn = 64-4n

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