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3 years ago

If Z= 2+2i, what is z^4?

Mathematics

2 answers:

ira [324]3 years ago

8 0

Answer:

D. 64 (cos(pi)+isin(pi))

Step-by-step explanation:

Put 2+2i into trigonometric form, raise the r value to the power of 4, and multiply the angle value (theta) by 4 to get the equation of z^4. In this case, r was 2(sqrt2), which raised to the 4th power was 64. The angle value was pi/4, which multiplied by 4 was pi. That's how we get the answer:

64 (cos(pi)+isin(pi)). How this helps!

Dimas [21]3 years ago

7 0

Answer:

assume z is equal to 5.

log(z^4/5) equals log(5^4/5) equals log(5^3) equals 2.096910013.

4 * log(5) - log(5) equals 2.096910013.

they give you the same answer.

this means they're equivalent.

Step-by-step explanation:

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3(2x+14)divided by w-y if w=8,x=5,y=1 how do i solve this

Viktor [21]

$\frac{3 (2x + 14)}{w - y}$
$w = 8, x = 5, y = 1$

You have to first substitute every variable into its spot in the equation.

 $\frac{3 (2x + 14)}{w-y}$
 $\frac{3 (2*5 + 14)}{8 - 1}$

Then solve.

$\frac{3 (28)}{7} = \frac{84}{7} = 12$

3 0

3 years ago

A Dressmaker used 2.8 meters of cloth and 0.8 meters of lace to make each dress. Each meter of cloth cost $2.70 and each meter o

meriva

One Dressmaker
 (2.8)*(2.70) + (0.8)*(4.90)= 11.48$
 16 Dressmakers
(16)*(11.48)= 183.68$
 she spend in all 183.68$

4 0

3 years ago

Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f

Harrizon [31]

Answer:

Option D - 64 feet.

Step-by-step explanation:

Given : Ja'Von kicks a soccer ball into the air. The function $f(x) = -16(x-2)^2 + 64$ represents the height of the ball, in feet, as a function of time, x, in seconds.

To find: What is the maximum height the ball reaches?

Solution :

To find the maximum height of the ball we find the derivative,

$f(x) = -16(x-2)^2 + 64$

Derivate w.r.t x

$f'(x) = -16\times 2(x-2)+0$

$f'(x) = -32(x-2)$

To find maxima put $f'(x)=0$

$0= -32(x-2)$

$32x=64$

$x=2$

Now, we find the second derivative form maximum,

$f''(x) = -32$

Therefore, The maximum point is at x=2

Substitute x=2 in the given function,

$f(2) = -16(2-2)^2 + 64$

$f(2) = -16(0)+ 64$

$f(2) = 64$

Therefore, Option D is correct.

The maximum height the ball reaches is 64 feet.

7 0

3 years ago

Read 2 more answers

7) 72, 43, 15, 66, 32, 72, 52, 19, 28, 81 Mean : Median Mode Range

adell [148]

Mean (Average) 48
Median 47.5
Range 66
Mode 72, appeared 2 times
Geometric Mean 41.680398411848
Largest 81
Smallest 15
Sum 480
Count 10

8 0

3 years ago

if it takes 30 steps to walk from the front of the store to the back and 40 steps to walk from the left of the store to the righ

netineya [11]

Answer:

Step-by-step explanation:

The answer is 70 steps, because you walked 30 steps from the front to the store then you walk to the left of the store, you now can add these together to make 70 steps altogethor! how this helps!

6 0

4 years ago

Read 2 more answers