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Murrr4er [49]
3 years ago
14

A circular disc has a circumference of 16pi meters. if we multiply the radius of the circular disc is by 10, what is the circumf

erence of the new disc?
A. 160pi m

B. 260pi m

C. 413pi m

D. 157pi m
Mathematics
1 answer:
Flauer [41]3 years ago
6 0

The circumference of the new disc 160Π that is 10 time of old circumference.

Step-by-step explanation:

Given,

Circumference of circular disc = 16Π (pi = Π)

Let, the radius of the circle be 'r'

Formula

The circumference of a circle with r radius = 2 Π r

According to the problem,

2 Π r = 16Π

or, 2r = 16 ( by eliminating the value of Π from both the side)

or, r = 8

Now, we multiply the radius by 10

so, the new radius is 8 X 10 = 80

Now the circumference = 2 Π X 80

= 160Π

Hence, the new circumference also will be 10 times of the older one.

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Researchers recorded that a certain bacteria population declined from 800,000 to 500,000 in 6 hours after the administration of
kupik [55]

Answer:

We can assume that the decline in the population is an exponential decay.

An exponential decay can be written as:

P(t) = A*b^t

Where A is the initial population, b is the base and t is the variable, in this case, number of hours.

We know that: A = 800,000.

P(t) = 800,000*b^t

And we know that after 6 hours, the popuation was 500,000:

p(6h) = 500,000 = 800,000*b^6

then we have that:

b^6 = 500,000/800,000 = 5/8

b = (5/8)^(1/6) = 0.925

Then our equation is:

P(t) = 800,000*0.925^t

Now, the population after 24 hours will be:

P(24) = 800,000*0.925^24 = 123,166

5 0
3 years ago
HELP ASAP 15 POINTS!!!<br> What is the solution to this equation?<br> 6(x-5)=4x+20
Andre45 [30]

Answer:

<h2><u><em>x = 25</em></u></h2>

Step-by-step explanation:

What is the solution to this equation?

6 * (x - 5) = 4x + 20

6x - 30 = 4x + 20

2x = 20 + 30

2x = 50

x = 50 : 2

x = 25

-------------------

check

6 * ( 25 - 5) = 4 * 25 + 20

6 * 20 = 100 + 20

120 = 120

the answer is good

3 0
2 years ago
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8_murik_8 [283]

Answer:

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Step-by-step explanation:

4 0
3 years ago
8 +2/3 (6x + 30) = 80
amid [387]

Answer:

X=13

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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3 years ago
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Answer:

B and E

Step-by-step explanation:

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3 years ago
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