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stira [4]
2 years ago
9

PLEASE ANSWER:

Mathematics
1 answer:
Lapatulllka [165]2 years ago
6 0

Answer: Length: 16, Width = 13. Enjoy math while its not too complicated

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Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body
PIT_PIT [208]

Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

(c) The amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

(a)

Compute the 5-hour decay factor as follows:

5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)<em>ⁿ</em>

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

4 0
3 years ago
Will name the brainliest
Margaret [11]

Answer:

sin A = 13/85

Step-by-step explanation:

Opposite Angle A is side BC, of length 13.  The length of the hypotenuse is 85.  The sine function is defined as the ratio opp/hyp.  In this problem that ratio is

opp

------ = sin A = 13/85

hyp

We use the inverse sine function arcsin x to determine Angle A:

A = arcsin 13/85 = 8.8 degrees

3 0
3 years ago
Read 2 more answers
Find the area of a square with a length of 5 cm.
Diano4ka-milaya [45]
<span>area of a square = a^2 = 5^2 = 25

answer
</span><span>area of a square = 25 cm^2</span>
3 0
3 years ago
Evaluate 2b^3 where b = 3
densk [106]

Answer:

<em>Answer</em><em>=</em><em>5</em><em>4</em>

Step-by-step explanation:

Given:- b=3

2b³

Solution:-

2 x b³

2 x 3 x 3 x 3

6 x 9

54 (answer)

Hope this helps you

Have a good day.

6 0
2 years ago
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Raymond bought 3/4 of a dozen rolls. How many rolls did he buy?
harina [27]
3/4 x 12 = 9
The answer is 9
4 0
3 years ago
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