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Ainat [17]
3 years ago
13

Help need to do this by tomorrow

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0

Answer:

42 degrees

Step-by-step explanation:

To find the complement of an angle, subtract that angle from 90.

90 - 48 = 42

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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
Help how do I solve this and how do I do it
Alja [10]

Answer:

C. 30+18x

Step-by-step explanation:

6x5=30

6x3=18

30+18x

3 0
3 years ago
Read 2 more answers
James has $325 in his savings account. He spends $28 a week. How many, w, weeks until he has $157 left in his account?​
otez555 [7]

Answer:

6 weeks

Step-by-step explanation:

Total savings= $325

For every week, his total savings decrease by $28.

Let's form an expression for the amount of money left in his account after w weeks.

325 -28w= 157

28w= 325 -157

28w= 168

<em>Divide by 28 on both sides:</em>

w= 168 ÷28

w= 6

Thus, there are 6 weeks until he has $157.

3 0
2 years ago
I need help plzzzzzzzzzzzzzzzzzzzzzzzz
Neporo4naja [7]
We can find the value of x through a proportion. Since these two triangles are similar, their sides are in proportion.

4 is to 12 as 5 is to x
Remember to say 12, not 8! 8 is only part of the whole side. We can also simplify 4 is to 12 to 1 is to 3.

1/3 = 5/x
Cross multiply
x = 15
Hope this helps!
7 0
3 years ago
The equation d=11cos(8pi/5 t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the cente
Bond [772]

Answer:

1.25 seconds

Step-by-step explanation:

Cosine is a maximum at cos(0) = 1, and a minimum at cos(π) = -1.

At the maximum:

8π/5 t = 0

t = 0

At the minimum:

8π/5 t = π

t = 5/8

t = 0.625

The time from maximum to minimum is 0.625 seconds.  Therefore, the time from minimum back to maximum is also 0.625 seconds.  So the total time is:

0.625 + 0.625 = 1.25

7 0
3 years ago
Read 2 more answers
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