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sweet [91]
3 years ago
8

The function that represents the amount of caffeine in milligrams remaining

Mathematics
2 answers:
RUDIKE [14]3 years ago
7 0

Answer:

If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:

<u>A</u><u>(t) = c×e^(dt)</u>

where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)

I.e(for instance): if you are given a cup of coffee with an initial <em>190 mg</em> of caffeine, <em>leaving</em> the body at a rate of <em>36%</em><em> </em>every <em>hour</em>.

This relationship solving for the remaining miligrams can be given by:

A(t) = 190 mg × e ^ (-.36t)

Where t is the amount of hours.

fredd [130]3 years ago
4 0

Answer:

Step-by-step explanation:

The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.

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Eunice bought 585 beads.Jennifer bought 6 times more than Eunice but half of the total of beads Suin bought.How many beads did J
diamong [38]

Answer:

<em>Eunice 3510; Suin 7020</em>

Step-by-step explanation:

<em>Eunice bought 585 beads.</em>

<em>Jennifer bought 6 times more than Eunice</em> but half of the total of beads Suin bought.

Eunice: 6 * 585 = 3510

Jennifer bought 6 times more than Eunice but <em>half of the total of beads Suin bought.</em>

<em>Suin: 3510 * 2 = 7020</em>

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3 years ago
What was their velocity
shutvik [7]

Answer:

Step-by-step explanation:

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5 0
2 years ago
dos aviones parten de una ciudad con direcciones S32°E y E57°N¿ cuál es el angulo que forma sus direcciones?​
Elan Coil [88]

Answer:

El ángulo formado entre las dos direcciones es aproximadamente 115º.

Step-by-step explanation:

Las direcciones dadas en el enunciado significan lo siguiente:

S32ºE - <em>32º al este del sur.</em>

E57ºN - <em>57º al norte del este.</em>

Vectorialmente hablando, cada dirección es la siguiente:

S32ºE

A(x,y) = (\sin 32^{\circ}, -\cos 32^{\circ})

A(x,y) = (0.530, -0.848)

E57ºN

B(x,y) = (\cos 57^{\circ},\sin 57^{\circ})

B(x,y) = (0.545, 0.839)

El ángulo formado entre los dos vectores unitarios (\theta), medido en grado sexagesimales, puede determinarse mediante la siguiente ecuación vectorial:

\theta = \cos^{-1} \frac{A\,\bullet \,B}{\|A\|\cdot \|B\|}

Donde:

\|A\| - Norma de A(x,y).

\|B\| - Norma de B(x,y).

Si sabemos que A(x,y) = (0.530, -0.848), B(x,y) = (0.545, 0.839), \|A\| = 1 y \|B\| = 1, entonces el ángulo formado entre los dos vectores es:

\theta = \cos^{-1} \frac{(0.530)\cdot (0.545)+(-0.848)\cdot (0.839)}{(1)\cdot (1)}

\theta \approx 115^{\circ}

El ángulo formado entre las dos direcciones es aproximadamente 115º.

4 0
3 years ago
Rhonda planted green beans on 67% of her farm. Rhonda's farm has 598 acres of land. Estimate the number of acres of green beans
Savatey [412]

Answer: 400 acres.

Step-by-step explanation:

We know that 598 is very close to 600, so we can round that amount up.

We also know that 67% is very close to \frac{2}{3} because 2÷3≈0.67 & 67%=0.67

So, we can estimate \frac{2}{3} of 600, which is about 400.

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