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lesya692 [45]
4 years ago
14

I need help with this duhhh

Mathematics
1 answer:
liubo4ka [24]4 years ago
4 0

Answer:

Step-by-step explanation:

4. (6^10)^-7 is when the exponents should be multiplied

   answer is B

5. (7^3)^-2 = (7^-6)

     1/7^6 = 1/(7x7x7x7x7x7)

answer is A

2. 11^-4/11^8= 1/11^(8+4) = 1/11^12

   answer is A

3. (2^5/3^2)^4= 2^20/3^8

   answer is A

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Answer in scientific notation?
love history [14]
The answer is:  45 * 10 ⁻¹¹ .
___________________________________________

Explanation:
____________________________________________
Given:   (9 * 10⁻⁵) * (5 *10 ⁻⁶) ;   Simplify.
____________________________________________
 (9 * 10⁻⁵) * (5 *10⁻⁶)  =

9 * 5 * 10⁻⁵ * 10⁻⁶ = 

(9 * 5) * 10⁻⁵ * 10⁻⁶ 

45 * 10⁻⁵ * 10⁻⁶  ;   
______________________________________
Note the following property of exponents:

xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;

As such, 10⁻⁵ * 10⁻⁶ = 10⁽⁻⁵ ⁺ ⁻⁶) = 10 ⁻¹¹ ;
______________________________________
So;  45 * 10⁻⁵ * 10⁻⁶ 

           =  45 * 10⁻¹¹ .
______________________________________

7 0
3 years ago
Janet unfolded a cardboard box. The figure of the unfolded box is shown below:
bixtya [17]
3rd one 10 x 6 x 6
hope this is right 

5 0
3 years ago
Real estate ads suggest that 56 % of homes for sale have​ garages, 27 % have swimming​ pools, and 16 % have both features. ​a) W
Marizza181 [45]

Answer:

a) 0.4

b) 0.28

c) The events are not independent

d) The events are not mutually exclusive

Step-by-step explanation:

Hi!

Lets call:

Gar = {homes with garage}

Pool = {homes with pool},  

A = {homes with pool and garage}  = Gar ∩ Pool

The data we are given is:

P(Gar) = 0.56

P(Pool) = 0.27

P(A) = 0.16

a) B = {homes with garage but not pool}. This set B is the set Gar without set A: B = Gar / A  

P(B) = P(Gar) - P(A) = 0.4

b) This is a conditional probability:

P(Pool | Gar) = P(Gar ∩ Pool) / P(Gar) = 0.16/0.56 = 0.28

c) To be independent events, it must be, by definition:

P(Gar ∩ Pool) = P(Gar) * P(Pool)

0.16 ≠ 0.56*0.27 = 0.15

Then, the events Gar and Pool are not independent

d) Gar and Pool are not mutually exclusive, because there are houses with both pool and garage. We know that because P(A) is not zero.

5 0
3 years ago
300 minutes equals how many hours
Nimfa-mama [501]
300 minutes equals five hours.
5 0
3 years ago
Read 2 more answers
The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of
velikii [3]

A) Add three <em>line</em> segments (AD, CF, BE) to the <em>regular</em> hexagon.

B) The area of each triangle of the <em>regular</em> hexagon is 35.1 in².

C) The area of the <em>regular</em> hexagon is 210.6 in².

<h3>How to calculate the area of a regular hexagon</h3>

In geometry, regular hexagons are formed by six <em>regular</em> triangles with a common vertex. We decompose the hexagon in six <em>equilateral</em> triangles by adding three <em>line</em> segments (AD, CF, BE).The area of each triangle is found by the following equation:

A = 0.5 ·  (9 in) · (7.8 in)

A = 35.1 in²

And the area of the <em>regular</em> polygon is six times the former result, that is, 210.6 square inches.

To learn more on polygons: brainly.com/question/17756657

#SPJ1

5 0
2 years ago
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