Answer:
9,400 bacteria at Hour 17.
Step-by-step explanation:
If at
Hour 0, it was at 6,000 bacteria then at
Hour 6, it would be at 7,200 bacteria
That means in 6 hours, the bacteria has grown by 1,200
Let's use a ratio:
hours : bacteria
6 : 1,200
1 : 200
17 : 3,400
Now after 17 hours, 3,400 new bacteria has joined our group of 6,000
6000+3400=9400
9,400 bacteria should be present at Hour 17
10x^6y^3 + 20x^3y^2 / 5x^3y =
5x^3y (2x^3y^2 + 4y) / 5x^3y=
<span>2x^3y^2 + 4y
</span>
First you find what the expressions 10x^6y^3 and 20x^3y^2 have in common, and that is 5x^3y, which is the same as the denominator, so you can easily divide them and get 1.
<span>Hope you understand!
</span>
Answer:
Step-by-step explanation:
If arccos (√3 / 2) = β, then cos β = adjacent side / hypotenuse = √3 / 2. This tells us immediately that the adjacent side length is √3 and the hypotenuse is 2. Via the Pythagorean Theorem, we know that the third side is 1.
This information rules out the 1st and 3rd answer choices.
Because cos 30° = adj / hyp = √3 / 2, we can conclude that the correct answer is the 4th one: 30°, 60°, 90°
Hillary spent a total of 275 minutes studying for his Final.
What is unit conversion ?
When a unit conversion is performed, the same property is expressed in a different unit of measurement.
Here it is given that :
Hillary spent a total of 4 hours and 35 minutes studying for her Final
We known that :
1 hours equals 60 minutes
then,
4 hours and 35 minutes will be equals to = 4x60 + 35
= 240 + 35
= 275 minutes
Therefore, Hillary spent a total of 275 minutes studying for his Final.
Learn more on conversion of units here;
brainly.com/question/340715
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