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AfilCa [17]
3 years ago
7

The population of a certain species of bacteria doubles every hour. Use the following

Mathematics
1 answer:
elena55 [62]3 years ago
7 0

Answer:

The bacteria will grow from 1 to 1024 in 10 hours

Step-by-step explanation:

Given

P_0 = 1

P = 1024

We have to find time

Putting values in the formula

P = P_0(2)^t\\1024=(1)(2)^t

Anything multiplied with 1 remains the same

1024=2^t\\2^{10} = 2^t

Using the property "when bases are same, the exponents can be put equivalent"

t = 10 hours

Therefore, the bacteria will grow from 1 to 1024 in 10 hours ..

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A _____ is a section on a number line where few to no data points fall.
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8 0
3 years ago
Find the value of the missing coefficient in the factored form of 27f^3 + 125g^3. 27f^3+125g^3=(3f+5g)(9f^2-?fg + 25g)^2
7nadin3 [17]

Answer:

15

Step-by-step explanation:

The formula for factoring a sum of cubes is:

a^3+b^3=(a+b)(a^2-ab+b^2)

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The ? is 15.

6 0
3 years ago
Here are two rectangles.
Sophie [7]

Answer:

AB=9.5\ cm

Step-by-step explanation:

step 1

Find the length side PQ

we know that

The area of rectangle PQRS is given by

A=(PQ)(QR)

A=66\ cm^2

so

66=(PQ)(QR)

substitute the value of QR

66=(PQ)(12)

solve for PQ

PQ=66/12\\PQ=5.5\ cm

step 2

Find the length side AB

we know that

The perimeter of rectangle ABCD is given by

P=2(AB+BC)

we have

P=30\ cm\\BC=PQ=5.5\ cm

substitute

30=2(AB+5.5)

solve for AB

15=AB+5.5\\AB=15-5.5\\AB=9.5\ cm

6 0
3 years ago
A bicycle wheel has a radius of 13 inches. What is the distance the bicycle will travel after 30 revolutions of the wheel? Use 3
SpyIntel [72]
Radius = 13 inches

Circumference of wheel = 1 revolution
2πr = 2 x 3.14 x 13 = 81.64 inches

1 revolution = 81.64 inches
30 revolutions = 2449.2inches
7 0
3 years ago
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