2 years ago

Which of the following is equivalent to the complex number i^{26}i

Mathematics

1 answer:

notka56 [123]2 years ago

3 0

Answer:

-1

Step-by-step explanation:

$i^{26}$

= $(i^{2} )^{13}$

= $(-1)^{13}$

= -1

You might be interested in

A hippopotamus is 100 pounds of food a day how many days would it take a hippo to the 1 ton of food

alina1380 [7]

Answer:

20 days

Step-by-step explanation:

1 ton=2000ibs 2000/100=20

8 0

3 years ago

For which positive integer values of $k$ does $kx^2+20x+k=0$ have rational solutions? Express your answers separated by commas a

Musya8 [376]

Answer:

-10,10

Step-by-step explanation:

The given quadratic equation is

$k {x}^{2} + 20x + k = 0$

The discriminant of this equation is given by;

$D = {b}^{2} - 4ac$

where a=k, b=20, c=k

For rational solutions, the discriminant must be zero.

${20}^{2} - 4 \times k \times k = 0$

Simplify to get:

$400 - 4 {k}^{2} = 0$

This implies that:

$400 = 4 {k}^{2}$

$100 = {k}^{2}$

Take square root to get:

$k = \pm\sqrt{100}$

$k = \pm10$

$k = - 10 \: or \: k = 10$

3 0

2 years ago

Simplify the expression 6h+(−7.7d)−18+5d−3.2h.

Mamont248 [21]

Answer:

-2.7d+2.8h-18

Step-by-step explanation:

4 0

2 years ago

HELP!! I DON'T KNOW WHAT TO DO

Kay [80]

3 1/4 cups for 13 servings...
(3 1/4) / 13 =
13/4 * 1/13 =
13/52 which reduces to 1/4 cup per serving

for 28 servings...
1/4 * 28 = 28/4 = 7 cups <== 28 servings requires 7 cups of flour

3 0

3 years ago

Read 2 more answers

Which set of sides would make a right angle?

Lynna [10]

The answer is 5,12,13 as when you plug these into the Pythagorean theorem :
5^2 + 12^2 = 13^2
25 + 144 = 169
13^2 = 169
Hope this helps :)

7 0

2 years ago

Read 2 more answers