Answer:
C) 1/6^32
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(b·c)
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
_____
Using these rules, your expression simplifies to ...
6^8·6^(10(-4)) = 6^8·6^-40 = 6^(8-40) = 6^-32 = 1/6^32
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:
x + y ≤ 200
2x + 10y ≤ 1000
<h3>What is inequality?</h3>
It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Total number of hours = 1000
Total number of trimmers = 200
Let x represent the number of cord-type models,
Let y represent the number of cordless models.
Now,
x + y ≤ 200
2x + 10y ≤ 1000
Thus,
The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:
x + y ≤ 200
2x + 10y ≤ 1000
Learn more about inequalities here:
brainly.com/question/20383699
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Answer:
I hope I'll help you with this but I am not sure of it all...
The area of the shaded region is 46,77
Step-by-step explanation:
To determine the area of the shaded hexagon, we must first calculate te area of the whole shaded hexagon and minus that by the white little hexagon.
The formula to calculate the area of a hexagon is (3√3 s2)/ 2
(where s = one side of the hexagon)
if one side a the little white hexagon equals 6 ft;
3√3 6ft.2/2 = 18√3/2 = 9√3
now for the bigger hexagon where one side is 12 ft;
3√3 12 ft.2/2 = 72√3/2 = 36√3
now the area of the bigger one minus the area of the smaller one;
36√3 - 9√3 = 46,77
The answer to r is going to be the lucky number 5
According to the information in the nutritional table, it can be inferred that the amount of milligrams of sodium that we should consume during the rest of the day must be less than 2,175mg,
<h3>How to calculate the amount of sodium we can consume?</h3>
To calculate the amount of sodium that we can consume during the rest of the day after breakfast, we must subtract the value of sodium consumed to the amount of total sodium that we want to ingest as shown below:
According to the above, it can be inferred that after consuming the cereal bar at breakfast, we should consume an amount less than or equal to 2,175mg of sodium in the other meals of the day (lunch, dinner and snacks).
Learn more about sodium in: brainly.com/question/24010534
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