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Readme [11.4K]
3 years ago
8

For a regular 30-sided polygon, what is the degree of rotation? enter your answer in the box. °

Mathematics
2 answers:
Shkiper50 [21]3 years ago
7 0

Answer:

Step-by-step explanation:

12

Crank3 years ago
6 0

For a 30 sided regular polygon, We can divide the polygon (30 sides) into 30 inscribed triangles  with central vertex angles of = \frac{360}{30} =12^{o}.

This central vertex angle of <u>12 degrees</u> is the degree of rotation for a 30 sided polygon.

In other words, the 30 sided polygon has <u>12 degree</u> rotational symmetry about the center.

 

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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
Which of the following is the correct graph of the linear equation below?<br> y+2 =3(x+1)
77julia77 [94]

Answer:

D

Step-by-step explanation:

3 0
2 years ago
The graph shows the function f(x)=3^x
tangare [24]
The answer is D.
You have to make the whole numbers equal to then solve for the exponents:
F(x) means y, therefore, y is 9.
9 = 3^x.
3^2 is the same as 9.
Then, 3^2 = 3^x.
Then solve for the exponents,
2 = x
Therefore your answer is 2.
8 0
3 years ago
Need help with this question please!
Ivenika [448]
The answer is definitely B
5 0
3 years ago
A maps key shows that every 5 inches on the map represents 200 miles of actual distance. Suppose the distance between two cities
ryzh [129]
Hello there, and thank you for posting your question here on brainly.

Short answer: 280 miles.

Why?

You can find this out by finding out how much 1 in is by dividing 200 by 5. (200 / 5 ==> 40) So 1 in = 40 miles. Now, we multiply that by 7, so we can find out how much 7 in would be. (7 * 4 ==> 280) 7 inches on the map represents 280 miles.

Hope this helped you! ♥
3 0
2 years ago
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