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3 years ago

Circle O has a circumference of 367 cm.

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

7 0

Answer:

none of the above

Step-by-step explanation:

The applicable relationship is ...

C = 2πr

Solving for r, we get

r = C/(2π) ≈58. (367 cm)/(2·3.14159) ≈ 58.41 cm . . . . no matching choice

_____

When the problem does not include a correct answer choice, I usually suggest you ask your teacher to show you the working of it.

steposvetlana [31]3 years ago

4 0

18cm I hope this helps

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A lake polluted by bacteria is treated with an antibacterial chemical. Aftertdays, thenumber N of bacteria per milliliter of wat

jeyben [28]

Answer:

N(1)=50 is a minimum

N(15)=4391.7 is a maximum

Step-by-step explanation:

<u>Extrema values of functions </u>

If the first and second derivative of a function f exists, then f'(a)=0 will produce values for a called critical points. If a is a critical point and f''(a) is negative, then x=a is a local maximum, if f''(a) is positive, then x=a is a local minimum.

We are given a function (corrected)

$N(t) = 20(t^2-lnt^2)+ 30$

$N(t) = 20(t^2-2lnt)+ 30$

(a)

First, we take its derivative

$N'(t) = 20(2t-\frac{2}{t})$

Solve N'(t)=0

$20(2t-\frac{2}{t})=0$

Simplifying

$2t^2-2=0$

Solving for t

$t=1\ ,t=-1$

Only t=1 belongs to the valid interval $1\leqslant t\leqslant 15$

Taking the second derivative

$N''(t) = 20(2+\frac{2}{t^2})$

Which is always positive, so t=1 is a minimum

(b)

$N(1)=20(1^2-2ln1)+ 30$

N(1)=50 is a minimum

(c) Since no local maximum can be found, we test for the endpoints. t=1 was already determined as a minimum, we take t=15

(d)

$N(15)=20(15^2-2ln15)+ 30$

N(15)=4391.7 is a maximum

7 0

3 years ago

A teacher has threee pieces of wood that measure 2 ft , 3 ft, and 6 ft, respectively. The teacher asks

raketka [301]

Yo the anwser is uploaded on

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3 years ago

In what position would you find the 'leading' runner in a race? In what position do you suppose you would find the 'leading coef

TEA [102]

Since the "leading" runner in a race would be found in the first position, because he or she is in the lead, it means they are first, then I suppose I would find the "leading coefficient" in the first place in a polynomial as well.

5 0

3 years ago

What is C. PLEASE HELP ME IM SO CONFUSED!!!

vichka [17]

100-28-48-8= 16%

Hope it helped

5 0

3 years ago

Please help thank you

Keith_Richards [23]

Answer:

alternates

Step-by-step explanation:

The series is for k = 0 to 4, so k = 0, 1, 2, 3, 4.

That is 5 terms.

-1/2 is inside the parentheses and is raised to 0, 1, 2, 3, 4.

A negative number raised to an even integer is positive.

A negative number raised to an odd integer is negative.

The sign of each term in the series alternates.

7 0

3 years ago