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natulia [17]
3 years ago
5

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate

parameter of 7.6% per hour. How many hours does it take for the size of the sample to double?
Mathematics
1 answer:
Kazeer [188]3 years ago
7 0
Set the growth factor equal to 2
e^{.076 t} = 2
Solve for t, Take natural log of both sides
ln (e^{.076 t}) = ln(2)  \\  .076 t = ln(2)  \\ ........ \\  t = \frac{ln (2)}{.076}
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Find the area of the circle below???
olga55 [171]

Answer:

Area of the circle = 24.618\,feet^2

Step-by-step explanation:

Radius of the circle= 2.8\,feet

Area of the circle= \pi \times r^2

As,

      \pi =\dfrac{22}{7} =3.14

Area of the circle is:

                 =3.14\times 2.8 \times 2.8\\\\= 3.14 \times 7.84\\\\=24.618\,feet^2

The Area of the circle is : 24.618\,feet^2

5 0
3 years ago
Read 2 more answers
HELP ASAP TIMED !!!! What is the exact value of cos(c + d), given Sine c = StartFraction 24 Over 25 EndFraction for c in Quadran
Keith_Richards [23]

9514 1404 393

Answer:

  D

Step-by-step explanation:

In the second quadrant, ...

  c = 180° -arcsin(24/25) ≈ 106.26°

In the third quadrant, ...

  d = 360° -arccos(-3/4) ≈ 221.41°

Then cos(c+d) = cos(327.67°) ≈ 0.84498

This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:

  \dfrac{21+24\sqrt{7}}{100}\approx 0.84498

_____

Perhaps you want to work this out using the trig identities.

  cos(c) = -√(1 -sin(c)²) = -7/25

  sin(d) = -√(1 -cos(d)²) = -(√7)/4

Then the desired cosine is ...

  cos(c+d) = cos(c)cos(d) -sin(c)sin(d)

  cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)

  cos(c+d) = (21 +24√7)/100 . . . . matches choice D

8 0
3 years ago
Can anybody please help solving this problem?
pantera1 [17]
Area of the shaded region = Area <span>of a square - Area of a circle
</span>
Side of a square = 2r
Area of a square = (2r)² = 4r²

Area of a circle = πr²

Area of the shaded region = 4r² - πr² = <span>r²(4-π)</span>
7 0
3 years ago
I need help on part B
Pepsi [2]
You have to divide 90 and 5
5 0
3 years ago
Check whether (x-1) is a factor of 2x²-3x+1 or not ................ ​
wariber [46]
Answer: Yes

Step-by-Step Explanation:

5 0
2 years ago
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