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In a right triangle, if the length of the hypotenuse is 39 and the length of one of the other sides is 15, what is the length of

Inessa [10]

Answer:

<h3>either way the answer is be =36 so the length of the missing side is 36 CM. </h3>

8 0

3 years ago

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modelled by the function C(t)=8(e

Alexxx [7]

Answer:

the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

Step-by-step explanation:

We are given the following information:

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in $\mu g/mL$

$C(t) = 8(e^{(-0.4t)}-e^{(-0.6t)})$

Thus, we are given the time interval [0,12] for t.

We can apply the first derivative test, to know the absolute maximum value because we have a closed interval for t.
The first derivative test focusing on a particular point. If the function switches or changes from increasing to decreasing at the point, then the function will achieve a highest value at that point.

First, we differentiate C(t) with respect to t, to get,

$\frac{d(C(t))}{dt} = 8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)})$

Equating the first derivative to zero, we get,

$\frac{d(C(t))}{dt} = 0\\\\8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0$

Solving, we get,

$8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0\\\displaystyle\frac{e^{-0.4}}{e^{-0.6}} = \frac{0.6}{0.4}\\\\e^{0.2t} = 1.5\\\\t = \frac{ln(1.5)}{0.2}\\\\t \approx 2$

At t = 0

$C(0) = 8(e^{(0)}-e^{(0)}) = 0$

At t = 2

$C(2) = 8(e^{(-0.8)}-e^{(-1.2)}) = 1.185$

At t = 12

$C(12) = 8(e^{(-4.8)}-e^{(-7.2)}) = 0.059$

Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

4 0

2 years ago

A rope is 250 centimeters long. You need the rope to be 1 1/2 meters long. How many centimeters should you cut off?

Drupady [299]

If you would like to know how many centimeters should you cut off, you can calculate this using the following steps:

1 1/2 meters = 3/2 meters = 1.5 meters = 150 centimeters

250 centimeters - 1 1/2 meters = 250 centimeters - 150 centimeters = 100 centimeters = 1 meter

The correct result would be 100 centimeters.

6 0

2 years ago

What is the approximate value of sin B?

Jlenok [28]

The acronym for trigs is SOH CAH TOA
Sine means opposite divided by hypotenuse
So, let us find sine.
The opposie side is 16
The hypotenuse is 17.46
$16/17.46$
Use your calculator
The answer is ≈ 0.9164

6 0

3 years ago

Read 2 more answers

How do you evaluate 3ab

dimaraw [331]

Lets say a=2 and b=5 you now plug in you numbers to get 3x2x5 we know 3x2=6 so now take 6 and multiply it by 5 so 6x5=30 you can also set this equal to 0 3ab=0 then divide by either a or b ill show you both if you divide by a you are left with 3b=a if you divide by b than you get 3a=b

5 0

2 years ago