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ikadub [295]
3 years ago
9

2. If ¡2x+3 = i, where i = V-1, then which of the

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

I assume you mean the equation

i^{2x+3} = i

Since i = √(-1), we have i⁴ = 1 and so i⁵ = i. Then 2x + 3 must be some multiple of 5.

Now just check for which of the given choices that this holds:

x = 16   ⇒   2x + 3 = 35   (yes)

x = 11   ⇒   2x + 3 = 25   (yes)

x = 10   ⇒   2x + 3 = 23   (no)

x = 14   ⇒   2x + 3 = 31   (no)

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Land's Bend sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the intern
nata0808 [166]

Answer:

−35.713332 ; 0.313332

Step-by-step explanation:

Given that:

Sample size, n1 = 11

Sample mean, x1 = 79

Standard deviation, s1 = 18.25

Sample size, n2 = 18

Sample mean, x2 = 96.70

Standard deviation, s2 = 20.25

df = n1 + n2 - 2 ; 11 + 18 - 2 = 27

Tcritical = T0.01, 27 = 2.473

S = sqrt[(s1²/n1) + (s2²/n2)]

S = sqrt[(18.25^2 / 11) + (20.25^2 / 18)]

S = 7.284

(μ1 - μ2) = (x1 - x2) ± Tcritical * S

(μ1 - μ2) = (79 - 96.70) ± 2.473*7.284

(μ1 - μ2) = - 17.7 ± 18.013332

-17.7 - 18.013332 ; - 17.7 + 18.013332

−35.713332 ; 0.313332

3 0
3 years ago
What's the algebraic expression represents the phrase? Cindy studied seven more hours than Nikki studied. A. n + 7 B. 7 - n C. 7
Angelina_Jolie [31]
It is going to be (A)

6 0
4 years ago
A store sells comic books. Each comic book costs the same amount. During a sale, the store reduces the price of each comic book
Kruka [31]

Answer:

the original price is $7.89

the price on sale is $6.44

i hope this helps

Step-by-step explanation:

divide $12.88 by 2 to get the price of one of those comic books on sale which gives you $6.44

if you want the original price you just add $1.45 to $6.44 and then thats the price before the sale.

8 0
3 years ago
Solve the following system of equations using substitution.
ollegr [7]

To solve system of equations by substitution, we are going to use the first equation to substitute into the second equation wherever you see y.

5x - 4y = -3

5x - 4(3x-5) = -3

5x -12x+20=-3

               -20     -20  

_______________

5x-12x=-23

-7x=-23

___    ____

 -7       -7

x=3.29 (rounded)

Next, substitute x = 3.29 into the first equation, or to any equation you'd like, to find y.

y = 3x-5

y = 3(3.29)-5

y = 9.87-5

y = 4.87

So, your final answer would be (3.29, 4.87).

7 0
3 years ago
he blood alcohol concentration (BAC) of a 150lb man after 5 drinks is about 0.125. BAC greater than 0.08 will result in a DUI. T
Sonja [21]

Answer:

what is DUI?

Step-by-step explanation:

5 0
4 years ago
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