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ruslelena [56]
3 years ago
8

How do you simplify i²⁹? (If you can't tell, that's the imaginary number i^29).

Mathematics
1 answer:
maria [59]3 years ago
6 0
The imaginary number ' i ' is the square root of -1.

i = √-1
i² = -1
i³ = -√-1
i to the 4th power = +1
i to the 5th power = √-1
etc.

and all the higher powers keep going in the same 4-step cycle.

What's 29 divided by 4 ?
It's 7 with a remainder of 1.

So 29 with all the 4s thrown away is 1, and ' i ' to the 29th power is
the same thing as ' i ' to the 1st power = √-1  or just  plain ' i '.
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A baseball player which is based 35% of the time how many times can he expect to reach base and 150 at baths
Elan Coil [88]
He will expect to reach base 35%*150 times, or .35*150=52.5 times.  Although you cannot "reach base half of a time", this is the expected value for the amount of times he would reach base in this situation.
4 0
3 years ago
What is the axis of symmetry of -2x^2+12x-3
Zanzabum

Answer:

x = 3

Step-by-step explanation:

The formula for the axis of symmetry is x = -b/(2a).

Here, a = -2 and b = 12, so the axis of symmetry is

       -12

x = --------- = 3                 =>           x = 3

      2(-2)                      

3 0
3 years ago
The area of a triangle is 299 square centimeters. The length of the base is 46 centimeters. What is the height of the triangle?
k0ka [10]
$$\begin{matrix}
299=\frac{1}{2}\left(46\right)h\\\\\frac{1}{2}\left(46\right)h=299\\\\23h=299\\\\\frac{23h}{23}=\frac{299}{23}\\\\h=13\\\\h=\mathbf{13cm}
\end{matrix}$$
7 0
3 years ago
Read 2 more answers
Please only answer if you can help!!
Masteriza [31]

Answer:

Shifted by 6 units left on the x-axis.

Step-by-step explanation:

Given function is,

f(x) = 5ˣ + 1

After transformation, this function becomes g(x) = 5^{(x+6)}+1

Here, g(x) = f(x + 6)

By the rule of transformation,

Function 'f' has been shifted by 6 units left on the x-axis to form a new function 'g'.

8 0
3 years ago
A. Melanie gave her mother a bouquet of 96 flowers. The bouquet was made up of roses, carnations, and
Vesna [10]

See explanation for answer:

Step-by-step explanation:

A.

1. x+2x + 3x = 96

2. 6x = 96

3. x = 16

4. There were 16 roses, 32 daisies, and 48 carnations

B.

Possibilities: 13, 7, 5;

3, 11, 11;

(just find 3 odd numbers that add up to 25

Brainliest?

4 0
3 years ago
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