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Taya2010 [7]
3 years ago
11

Which statements correctly use the properties of exponents to simplify? Check all that apply.

Mathematics
2 answers:
defon3 years ago
9 0
The first one, second, and third
Pie3 years ago
5 0

Answer:

1 2 and 3

Step-by-step explanation:

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Quick question if I had a problem that was sin x = 18.9/20 =.945 how would I inverse sin of both sides ?
Black_prince [1.1K]

Step-by-step explanation:

gabcjxjdjdidifkfdjdjdjdddd

8 0
2 years ago
Given the function f(x)=x^2+7x+6f(x)=x
Sonbull [250]

The average rate of change of the function f( x ) = x² + 7x + 6 at the interval of −4 ≤ x ≤ −1 is 2

<h3>What is the average rate of change the function?</h3>

The average rate of change the function is simply the change in y-values of the two points divided by the change in x-values of the two points.

It is expressed as;

Given the data in the question;

  • f( x ) = x² + 7x + 6
  • Interval: −4 ≤ x ≤ −1 ⇒ [-4.-1]

Average rate of change = ( f(-1) - f(-4) ) / ( (-1) - (-4) )

Average rate of change = ( (-1)² + 7(-1) + 6 ) - ( (-4)² + 7(-4) + 6 ) ) / ( (-1) - (-4) )

Average rate of change = ( (1 + -7 + 6 ) - ( 16 - 28 + 6 ) ) / (-1 + 4 )

Average rate of change = ( ( 0 ) - ( -6 ) ) / (-1 + 4 )

Average rate of change = ( 0 + 6 ) / ( 3 )

Average rate of change = 6 / 3

Average rate of change = 2

Therefore, the average rate of change of the function is 2.

Learn more about average rate of change here: brainly.com/question/28744270

#SPJ1

8 0
1 year ago
A diamond can be classified as either gem-quality or industrial-grade. 80% of diamonds are classified as industrial-grade.
mote1985 [20]

Answer:

a) 0.64

b) 0.21

c) 0.79

Step-by-step explanation:

Percentage of industrial-grade diamonds = 80%

This means, if one diamond is chosen at random, there is 80% chance that it will be of industrial-grade. So,

P(Industrial grade) = 80% = 0.80

Part a)

Probability that 1st diamond is industrial-grade = 0.80

Since, selection of diamonds in independent, the probability that 2nd diamond is also industrial grade = 0.80

The overall probability of both diamonds being industrial-grade will be the product of their individual probabilities, according to the fundamental rule of counting.

So, if two diamonds are chosen at random, the probability that both are industrial grade = 0.80 x 0.80 = (0.80)² = 0.64

Part b)

Following the same logic as we followed in the previous part.

The probability of each of the 7 diamonds being industrial-grade is 0.80, so the probability that all 7 are industrial grade will be:

Probability = 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 = (0.80)^{7} = 0.21

So, if 7 diamonds are chosen at random, the probability that all 7 are industrial grade is 0.21.

Part c)

The event "at least one" is complement of event "none". So, the event "at least one of 7" will be complement of "none of the 7"

If none of the selected diamonds is gem quality, this means all 7 of the diamonds are industrial-grade. So,

The probability that none of the diamonds is gem-quality = The probability that all 7 are industrial-grade = 0.21

So,

The probability that at least one of the 7 selected diamonds is gem-quality = 1 - Probability that none is gem-quality

= 1 - 0.21

= 0.79

Since the probability that atleast one of the 7 randomly selected diamonds is gem-quality is greater than 0.05, it won't be unusual event.

3 0
3 years ago
Find the area of the shape.
Alexandra [31]

Answer:

12.5π units²

Step-by-step explanation:

Area of a semi-circle = πr²/2

Radius = diameter/2

Radius = 5

Therefore, the area of the semi-circle = 12.5π units²

7 0
3 years ago
What is the equation
lesya692 [45]
What equation? there isn’t any shown.
6 0
3 years ago
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