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Alex17521 [72]
3 years ago
15

Give an example of a real number, an imaginary number, and a complex number. Use examples that have not

Mathematics
1 answer:
irinina [24]3 years ago
6 0

Answer:

Real number 5

Imaginary number 5i

Complex number 2+5i

Step-by-step explanation:

A real number is that number that can be represented on number line

There is no imaginary part in real number

Example of real number is 5

Imaginary number is that in which there is no real part

Example of imaginary number is 5i

When there is a combination of both real and imaginary part then number is called complex number

Example of complex number is 2+5i

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Ava's mom purchased a savings bond for Ava. The value of the savings bond increases by 3% each year. One year after it was purch
malfutka [58]

Answer:

Original Value= $361.21

Step-by-step explanation:

Giving the following information:

The value of the savings bond increases by 3% each year. One year after it was purchased, the value of the savings bond was $515.

<u>To calculate the original value of the bond, we need to use the following formula:</u>

OV= PV/(1+i)^n

OV= original value

PV= present value

i= increase rate

n= number of months

OV= 515 / (1,03^12)

OV= $361.21

5 0
3 years ago
The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of
Ostrovityanka [42]

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

3 0
3 years ago
Michael wants to buy 2 tickets to the circus. Each ticket costs $37.50. How much will Michael spend for the tickets to the circu
viktelen [127]

Answer:

15Step-by-step explanation:y = family members = 7x = cos

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed. plss help
Natalija [7]

Answer:

3/5

Step-by-step explanation:

sinA = opp/hyp

= 21/35

= 3/5

8 0
3 years ago
Find all the zeros of the function <br> g(x)=x^3-4x^2-x+22
vagabundo [1.1K]

Answer:

x = -2, x = 3 − i√8, and x = 3 + i√8

Step-by-step explanation:

g(x) = x³ − 4x² − x + 22

This is a cubic equation, so it must have either 1 or 3 real roots.

Using rational root theorem, we can check if any of those real roots are rational.  Possible rational roots are ±1, ±2, ±11, and ±22.

g(-1) = 18

g(1) = 18

g(-2) = 0

g(2) = 12

g(-11) = 1782

g(11) = 858

g(-22) = -12540

g(22) = 8712

We know -2 is a root.  The other two roots are irrational.  To find them, we must find the other factor of g(x).  We can do this using long division, or we can factor using grouping.

g(x) = x³ − 4x² − 12x + 11x + 22

g(x) = x (x² − 4x − 12) + 11 (x + 2)

g(x) = x (x − 6) (x + 2) + 11 (x + 2)

g(x) = (x (x − 6) + 11) (x + 2)

g(x) = (x² − 6x + 11) (x + 2)

x² − 6x + 11 = 0

Quadratic formula:

x = [ 6 ± √(36 − 4(1)(11)) ] / 2

x = (6 ± 2i√8) / 2

x = 3 ± i√8

The three roots are x = -2, x = 3 − i√8, and x = 3 + i√8.

5 0
3 years ago
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