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Sedbober [7]
3 years ago
13

Which of the following is equivalent to the complex number i8?

Mathematics
1 answer:
Arada [10]3 years ago
8 0

Answer:

1

Step-by-step explanation:

note that i² = - 1

Thus

i^{8}

= i² × i² × i² × i²

= - 1 × - 1 × - 1 × - 1

= 1 × 1

= 1

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Triangle ABC is congruent with triangle CDA Find the value of the pronumeral x.
brilliants [131]

Answer:

x = 25

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

That is ∠ D and ∠ B are corresponding angles and congruent, thus

4x - 20 = 2x + 30 ( subtract 2x from both sides )

2x - 20 = 30 ( add 20 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25

6 0
3 years ago
Simplify this expression (5)^ -5 (5)^ 7 please explain how you got the answer
Rina8888 [55]

Answer:

( {5}^{ - 5} ) \times ( {5}^{7} ) \\  \\  \frac{ {5}^{7} }{ {5}^{5} }  =  {5}^{7 - 5}  =  {5}^{2}

the answer is b. 25

3 0
3 years ago
mrs cabrini needs 2 quarts of tomato sauce to make a large batch of her spaghetti sauce. she has 1 1/4 quarts of her own. she bo
Verizon [17]

Answer:

Mrs. Cabrini has a total of 2 1/8 quarts of tomato sauce.

Step-by-step explanation:

Since Mrs. Cabrini needs 2 quarts of tomato sauce to make a large batch of her spaghetti sauce. she has 1 1/4 quarts of her own, and she borrows 1/2 quart from the neighbor across the hall and 3/8 quart from the neighbor next door, to determine how many quarts does she have in all of her own must perform the following calculation:

1/4 = 0.25

1/2 = 0.5

3/8 = 0.375

0.25 + 0.5 + 0.375 = X

1.125 = X

1 + 1,125 = 2,125

Therefore, Mrs. Cabrini has a total of 2 1/8 quarts of tomato sauce.

3 0
2 years ago
WILL MAKR BRAINLIEST PLSSSS HELP
Afina-wow [57]

Answer:

1. y=3/2x + 12   2. y= 1/4x + 8

Step-by-step explanation:

Use the slope formula to get the slope for each line.  Then plug either of the x and y coordinates into the formula y= mx + b and also plug in the slope that you just found and solve for b.

7 0
3 years ago
A) work out the radius of the mercury, giving your answer as an ordinary number
guapka [62]

Answer:

a. 2,440 km

b. 1.33*10^{27} kg

Step-by-step explanation:

a. Diameter of Mercury = 4.88*10^3

Radius of Mercury = ½ of its diameter = \frac{4.88*10^3}{2}

Radius of Mercury = 2.44*10^3

To convert the radius to ordinary number, multiply 2.44 by 1,000.

Radius of Mercury as an ordinary number = 2.44*1,000 = 2,440 km

b. Mass of Jupiter = 1.898*10^{27} kg

Mass of Saturn = 5.68*10^{26} kg

Difference between mass of Jupiter and mass of Saturn = 1.898*10^{27} - 5.68*10^{26} (subtract 5.68 from 1.898 = 5.68. we would retain the largest exponent, which is raised to the lower of 27.)

= 1.33*10^{27}

7 0
3 years ago
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