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2 years ago

What is the product of the complex numbers (-3i+4) and (3i+4)?

Mathematics

2 answers:

Nataly_w [17]2 years ago

5 0

Answer: 25

Step-by-step explanation:

Finding the product of complex numbers is not different to finding the product of real numbers

(-3i+4) * (3i+4) = -9i^2 + 12i - 12i + 16 = 25

vladimir1956 [14]2 years ago

4 0

Answer:

Step-by-step explanation:

An easy way to multiply binomials is the FOIL(first, outer, inner, last) method. Multiply the first terms of each binomial, -3i×3i=-9i^2. Then do the outer terms, -3i×4=-12i. Then do the inner terms 4×3i=12i. Then do the last terms, 4×4=16. Lastly combine like terms, the -12i and 12 cancel out, and you're left with -9i^2+16. i^2=1, so then you get -9(-1)+16. -9×-1=9. 9+16=25

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A researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample

suter [353]

Answer:

The expected frequency for the cell E2,2 is = 33

Step-by-step explanation:

The given data is

Gender | 0-30| 30-60| 60-90| 90+ Totals

Male | 23 | 35 | 76 | 46 180

Female | 31 | 42 | 46 | 16 135

Totals 54 77 122 62 315

The expected frequency for the cell E2,2 is :

Expected for the (30-60 box for females) = Total of (30-6)/ (total )* females

= ( 77/315)135= 33

Here p= 77/315 and n= 135

therefor X= pn = 33

χ²= (33-42)²/33= 2.455 ( for the single value of E2,2=33)

Expected for the (30-60 box for males) = Total of (30-6)/ (total )* males

= ( 77/315)180= 44

χ²= (44-42)²/44= 0.09

The critical region is χ² (0.05) 3 ≥ χ²= 11.34

Let the null and alternate hypothesis be

H0:the number of minutes spent online per day is not related to gender

against

Ha: the number of minutes spent online per day is related to gender

The single value of χ² for E2,2 = 2.45 is less than the critical value of 11.34.

6 0

2 years ago

What is 49.6 divided by 7.8?

fomenos

Answer: 6.4

Step-by-step explanation: If rounding to one decimal place, your answer would be 6.4.

49.6 divided by 7.8 = 6.35897435...

Now, we see that after the 3 (The first decimal place) there is a five. Because we are rounding to the first decimal place the second decimal place will tell us to round up or down. In this case because it's a five, we would round up.

8 0

1 year ago

Asap help 100 points

gregori [183]

Answer:

(4x + 2)° = (6x -10)°

4x + 2 = 6x - 10

4x -6x = -10 -2

-2x = -12

x = -12

-2

x = 6°

7 0

3 years ago

Read 2 more answers

..........................

liubo4ka [24]

Answer:

82.96

Step-by-step explanation:

area of box:

A = L^2 = (14 in.)^2 = 196 in.^2

area of pizza:

A = (pi)r^2 = 3.14 * (6 in.)^2 = 113.04 in.^2

Empty area:

196 in.^2 - 113.04 in.^2 = 82.96 in.^2

7 0

3 years ago

3. write an equation of the circle whose center is (-5,2) and whose radius length is 4 express your answer in standard form. I N

marin [14]

Circle = (x-h)^2 + (y-k)^2 = r^2

Center is (h,k) h = -5, k = 2
Radius is 4, r = 4

(x - -5)^2 + (y - 2)^2 = 4^2
(x + 5)^2 + (y - 2)^2 = 16

6 0

3 years ago