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adoni [48]
2 years ago
7

Let $z$ be a complex number such that $z^5 = 1$ and $z \neq 1.$ Compute

Mathematics
1 answer:
snow_lady [41]2 years ago
5 0

Answer:

The answer is 4

Step-by-step explanation: i did it

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1a) A pack of 8 batteries costs £3.99
valentina_108 [34]
1a) 399p/8 = 49.8p
49.8p to the nearest penny is 50p
Answer = 50p

1b) 279/6 = 46.5p
Answer = Yes, this is better value


5 0
3 years ago
Peter wants to rent an apartment for six months . What kind of lease should he look for
Alex_Xolod [135]

Answer:

A short-term lease

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Check the image for question
Aliun [14]

Answer:        m^5/2a^4

Step-by-step explanation:

There is a theorm that describes this. Search "polynomial division rule" and it should come up.

5 0
3 years ago
Caleb claims that when you multiply a number by 10, you can just write a 0 at the right end of the number. Caleb gives the examp
sleet_krkn [62]

Answer:

Noah is correct

Step-by-step explanation:

When we multiply a whole number, (without decimal notation)  by 10 we can arrive at the correct answer by adding 0 to the right end of the number. However, it is not the general rule as the above method only applies to whole numbers because we have.

10 × 5 = 50

However,

10 × 5.0 ≠ 5.00

And

10 × 0.05 ≠ 0.050

The general rule is when multiplying a number by 10 it simply means shifting the decimal place one position to the left. The result of which is for whole numbers, when we shift the decimal place one place to the left, we add a zero to the right end of the number as follows;

10 × 30 = 300

Also when we multiply a decimal (fraction) by 10 we shift the place of decimal (decimal place) one decimal place to the right as follows;

10 × 0.003 = 0.03

Therefore, simply adding 0 to the right end of a number (including numbers with decimal fraction) when the number is multiplied by 10 to get the correct result is not always true.

7 0
3 years ago
A flagpole which is 40 feet high casts a shadow on level ground. At the time when the shadow is 30 feet long, the angle that the
eimsori [14]

Answer: The rate = 8.5 ft/h

Step-by-step explanation:

Since we are going to need to differentiate to find the rate of change of θ we need to express it in radians rather than degrees.

Therefore, 15 degree per hour will be expressed as

15° × π/180 = 0.2618rad/hour

Using trigonometry function to find Ø

Tan Ø = 40/30 = 1.333

Ø = 53 degree

Convert it to radian

Ø = 0.93 rad

The changing at a rate of 15o per hour will be

Rate = radian/ time

0.2618 = (0.93 -0)/t

t = 0.93/0.2618

t = 3.5 hours

The rate of change in the length of the shadow at that same time will be:

Rate = 30/3.5 = 8.5 ft/ hour

7 0
4 years ago
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