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Verizon [17]
2 years ago
13

Suppose a lake contains blue and green algae. The blue algae has an initial mass of 20 kg and doubles its mass every hour. The g

reen algae has an initial mass of 160 kg and grows at a constant rate of 0.20 kg per minute.
1) Which algae has a larger mass at 3 hours, in kilograms?

A) The blue algae has 12 kg more mass at 3 hours.
B) The green algae has 12 kg more mass at 3 hours.
C) The blue algae has 36 kg more mass at 3 hours.
D) The green algae has 36 kg more mass at 3 hours.

2) Which algae has a larger mass at 4 hours, in kilograms?

A) The blue algae has 56 kg more mass at 4 hours.
B) The green algae has 56 kg more mass at 4 hours.
C) The blue algae has 112 kg more mass at 4 hours.
D) The green algae has 112 kg more mass at 4 hours.
Mathematics
1 answer:
loris [4]2 years ago
6 0

Answer:  1) D

2) C

Step-by-step explanation:

1. The blue algae has an initial mass of 20 kg and doubles its mass every hour. Then after t hours, the mass of blue algae is

2. The green algae has an initial mass of 160 kg and grows at a constant rate of 0.20 kg per minute. Then after t hours (60t minutes), the mass of green algae is

Part I) At t=3:

The mass of green algae has 196-160=36 kg more mass at 3 hours.

Part II) At t=4:

The blue algae has 320-208=112 kg more mass at 4 hours.

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Write the ratio: <br> 450<br> to <br> 200<br> as a fraction in lowest terms.
xz_007 [3.2K]

Answer:

The ratio 450 : 200 can be reduced to lowest terms by dividing both terms by the GCF = 50 :

450 : 200 = 9 : 4

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450 : 200 = 9 : 4

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Step-by-step explanation:

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3 years ago
Factor completely
luda_lava [24]

Answer:

B)

B)

D)

Step-by-step explanation:

1. 7x^3y+14x^2y^3-7x^2y^2

The GCF of all the term of the above polynomial is 7x^2y , hence we take it outside and form a bracket

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The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

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The GCF of all the term of the above polynomial is (x+3) , hence we take it outside and form a bracket

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The GCF of all the term of the above polynomial is 2x^2 , hence we take it outside and form a bracket

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3 years ago
) How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?
eimsori [14]

Question:

A solar power company is trying to correlate the total possible hours of daylight (simply the time from sunrise to sunset) on a given day to the production from solar panels on a residential unit. They created a scatter plot for one such unit over the span of five months. The scatter plot is shown below. The equation line of best fit for this bivariate data set was: y = 2.26x + 20.01

How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?

Answer:

51.65 kilowatt hours

Step-by-step explanation:

We are given the equation line of best fit for this data as:

y = 2.26x + 20.01

On a day that has 14 hours of possible daylight, the model prediction will be calculated as follow:

Let x = 14 in the equation.

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y = 2.26(14) + 20.01

y = 31.64 + 20.01

y = 51.65

On a day that has 14 hours of daylight, the model would predict 51.65 kilowatt hours

8 0
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