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wlad13 [49]
3 years ago
14

What is the value of the expression

Mathematics
1 answer:
dusya [7]3 years ago
5 0
Add up the exponents of  i  :  0+1+2+3+4 = 10.  So we have i^10.

This separates as follows:  (i^4)^2 *i^2, which is equal to (1)^2 * (-1) = -1.
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What is the image of (-9,0) after a reflection over the line y=x
SpyIntel [72]

Answer:

(0,-9)

Step-by-step explanation:

The image of a point (x,y) over a line y=x is given by the co-ordinate rule:

(x,y) → (y,x)

So, when we reflect a point over the line y=x, the x co-ordinate and y co-ordinate change their places.

Here, (x,y) is (-9,0). So, from the above rule, after reflection over the line y=x, the image has the following co-ordinates:

(0,-9)

4 0
3 years ago
Find the 97th term of the arithmetic sequence
kozerog [31]
<h2>Answer:</h2><h2>The 97th term in the series is 409</h2>

Step-by-step explanation:

The given sequence is 25, 29, 33, ....

The sequence represents arithmetic progression

In an AP, the first term is a1  = 25

The difference between two terms, d = 29 - 25 = 4

To find the 97th term,

By formula, a_{n}  = a_{1} + (n - 1) d

Substituting the values in the above equation, we get

a_{97}  = 25 + (97 - 1) 4

= 25 + (96 * 4)

= 25 + 384

= 409

The 97 th term in the given sequence is 409.

3 0
2 years ago
help pls The circumference of the hub cap of a tire is 80.1 centimeters. Find the area of this hub cap. Use 3.14 for pi. Use pen
Liula [17]

Answer: The area is 510.25 cm². If the circumference of the cap were smaller then the area would be smaller as well

Step-by-step explanation:

First, you must find the radius

<em>80.1 ÷ 3.14 = 25.5</em>

<em>25.5 ÷ 2 = 12.75 <---- radius</em>

Then from that, you find the area

A=πr²

<em>12.75² = 162.5</em>

<em>162.5 × 3.24 = 510.25</em>

<em></em>

<em>Hope this was helpful!</em>

<em></em>

3 0
2 years ago
Read 2 more answers
Write the​ point-slope form of the​ line's equation satisfying the given conditions. Then use the​ point-slope form of the equat
AnnyKZ [126]

Answer:

Step-by-step explanation:

y - 5 = 4(x - 7)

y - 5 = 4x - 28

y = 4x - 23

7 0
3 years ago
Convert. If necessary, round to the nearest tenth.<br> 1.5 oz ≈ ___g
s344n2d4d5 [400]

42.52 g

im pretty sure this is the answer

4 0
3 years ago
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