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sweet [91]
4 years ago
8

The function that represents the amount of caffeine in milligrams remaining

Mathematics
2 answers:
RUDIKE [14]4 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]4 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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The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and wi
brilliants [131]

Answer: A 4 side dice.

Step-by-step explanation:

Benjamin has 4 possible homerooms with the same probability. This means that every homeroom has a 1/4 = 0.25 (or 25%) probability of getting chosen.

You could emulate this situation with a 4 sided dice (are like little pyramids) where each side of the dice would represent the selection of one of the homerooms.

6 0
3 years ago
which function has real zeros at x = −10 and x = −6? f(x) = x2 16x 60 f(x) = x2 − 16x 60 f(x) = x2 4x 60 f(x) = x2 − 4x 60
LiRa [457]

Answer:

Option A is correct

The function x^2+16x+60 has real zeroes at x =-10 and x =-6

Explanation:

Given: The real zeroes or roots are x = -10, and x = -6

To find the quadratic function of degree 2.

x^2- (\alpha+\beta)x + \alpha\beta =0 where α,β are real roots.   ....[1]

Here, α= -10  and β= -6

Sum of the roots:

α+β =  -10+(-6) = -10-6 = -16

Product of the roots:

αβ = (-10)(-6)= 60

Substitute these value in equation [1] we have;

x^2-(-16)x+60 = x^2+16x+60

Therefore, the quadratic function for the real roots at x =-10 and x =-6 ;

x^2+16x+60

8 0
3 years ago
Read 2 more answers
The temperature in Long Island, NY is -10 degrees and rose 2 degrees every hour.
AURORKA [14]

Answer:

B hopefully this helps you with work

5 0
3 years ago
Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins th
timofeeve [1]
From the problem, the way the spinner is set up could be 

red red blue blue green green yellow yellow purple purple

with two sections of each color and 10 total equal sections.

From this we know that 4 out of the 10 sections are red or green.
That means that there is a 4/10 chance of getting a green or a red every time Kevin spins. 

Multiply 180 by 4/10 and you get 72.

The spinner will land on red or green about 72 times.

Hope this helps!


5 0
4 years ago
Read 2 more answers
Someone help please!!!!
LUCKY_DIMON [66]

Answer:

x = -2

TU = 4

UB = 2

Step-by-step explanation:

you can add x^2 with 4x+10 and equate it to 6:

x^2 + 4x + 10 = 6

x^2 + 4x + 4

then u can use the roots formula : x = (-b ± √ (b2 - 4ac) )/2a

so it'll be   x = {-4±[√16 - 4(4)]}/2

x= -2

then u can substitute it and find TU and UB

TU= (-2)^2 = 4

UB= 4(-2)+10 = 2

5 0
2 years ago
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