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vlabodo
2 months ago
9

a man who weighs approximately 140 pounds has two,12 ounce beers and one 1 1/2 oz. shots of liquor in one hour. what is his esti

mated BAC?
Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
5 0


The correct result is:

0.08.

Calculation details:

First, we determine the grams of alcohol consumed. In the US, one standard drink contains 14 grams of alcohol. The man drank 2 beers plus 1 shot, summing to 3 standard drinks:
3 × 14 = 42 grams

Next, convert body weight from pounds to grams:
140 × 454 = 63,560 grams

Then multiply by the male distribution factor of 0.68:
63,560 × 0.68 = 43,220.8

Calculate initial BAC by dividing alcohol grams by this adjusted weight:
42 / 43,220.8 = 0.000972

Multiply by 100 to convert to percentage:
0.000972 × 100 = 0.0972

Since one hour has elapsed, subtract metabolism at 0.015 per hour:
1 × 0.015 = 0.015

Subtract this from the initial BAC:
0.0972 – 0.015 = 0.0822, approximately 0.08
zzz [12.3K]2 months ago
5 0

The estimated BAC is close to 0.08, since a 12-ounce beer counts as one drink and a 1.5-ounce shot also represents one standard drink. The man consumed three drinks total, which generally leads to a BAC around 0.08 for someone weighing 140 pounds.
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Leona [12618]

Answer:

KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47

Step-by-step explanation:

Given:

KL ║ NM,

LM = 45

m∠M = 50°

KN ⊥ NM  

NL ⊥ LM

To determine: KN and KL

1. Analyzing triangle NLM, we see it is a right triangle due to NL ⊥ LM. In this context,

LM = 45

m∠M = 50°

Consequently,

\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}

It is also true that

(angles LNM and M are complementary).m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ}

2. Now considering triangle NKL, it also forms a right triangle as KN ⊥ NM. Within this triangle,

NL=45\tan 50^{\circ}

m\angle KLN=m\angle LNM=40^{\circ} (alternate interior angles)

m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ} (angles KNL and KLN are complementary).

Thus,

\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08

and

\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47

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1 month ago
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Answer:

The formula representing the penny's height as a function of time is:

h(t)=1451-16t^2

After 7 seconds, the height of the penny will reach 667 feet.

Step-by-step explanation:

The penny experiences free fall.

With an initial velocity of zero and an initial height of h(0)=1,451.

Gravity acts as the acceleration, measured as g=32 ft/s^2.

The model can be initiated by analyzing speed:

dv/dt=-g\\\\v(t)=v_0-gt=-gt

Then, the height is expressed as:

dh/dt=v(t)=-gt\\\\h(t)=h_0-\dfrac{gt^2}{2}=1451-\dfrac{32}{2}t^2\\\\\\h(t)=1451-16t^2

The height of the penny at approximately 7 seconds can be calculated as:

h(7)=1451-16(7^2)=1451-16*49=1451-784=667

After 7 seconds, the penny will stand at a height of 667 feet.

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The calculation for the margin of error when estimating population proportions follows:

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