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katen-ka-za [31]
3 years ago
10

the concentration, in parts per million, of a type of antibiotic in a human’s bloodstream after h hours can be modeled by the po

lynomial function c(h) = -0.09h2 3.5h 8. what is the concentration of the antibiotic after 3 hours?
Mathematics
1 answer:
lilavasa [31]3 years ago
8 0
17.9ppm after 3 hours
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Please Help.<br> Match the reasons to the statements given.
marishachu [46]

Answer:

1. Given

2. Diagonals of a parallelogram bisect each other.

3. Vertical angles are equal.

4. Definition of parallelogram.

5. If lines parallel, then alternate interior angles are equal.

6. ASA

7. CPCTE

Step-by-step explanation:

Statement 1:

The first statement is a parallelogram ABCD, which is already given in the question. So, reason 1 is: Given.

Statement 2:

BT and TD are equal because for a parallelogram, its diagonal bisect each other. Here, BD and AC are the diagonals of parallelogram ABCD. So, the diagonals bisect each other at T. Hence, BT = TD

Statement 3:

Angles 1 and 2 is a pair of vertical angles. A pair of vertical angles are always equal to each other.

Statement 4:

A parallelogram is a quadrilateral whose opposite sides are parallel and equal. Hence, BC ||AD is because of the definition of a parallelogram.

Statement 5:

Angles 3 and 4 is a pair of alternate interior angles. If two lines are parallel, then the alternate interior angles are always equal.

Statement 6:

The triangles BET and DFT are now congruent because:

i.Angle- \angle1=\angle2

ii. Side - BT = TD

iii. Angle - \angle3=\angle4

Therefore, by ASA postulate the two triangles are congruent.

Statement 7:

As the two triangles are congruent, then their corresponding parts are also equal.

So, by CPCTE, ET=FT

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2 years ago
Half the sum of seven and w?
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Answer:

3.5w

Step-by-step explanation:

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Answer:45.66

Step-by-step explanation: Simplify the expression.

Hope this helps you out! ☺

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In a scalene triangle , the perimeter is 33, and the length of one side is 15, and the difference between the two other sides is
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Answer:D

Step-by-step explanation:

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Find the area of the composite figure.
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Area =leagth x wigth
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