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2 years ago

The square shown has a perimeter of 32 units. The square is rotated about line k. what is the circumfrence of the base

Mathematics

1 answer:

boyakko [2]2 years ago

6 0

The circumference equal to 25 units

<h3>What is perimeter of square?</h3>

The perimeter of square is 4 times the side.

P= 4* side

The perimeter of the square,

4x = P

Now P is = 32 units then,

32 units = 4(x)

x = 8 inches

So, the diameter of the cylinder formed by the rotation of 8 inches

Now, the circumference of the base is

C = 2πr = πD

If r =8 inches

C = π(8 units) = 8π units

C = 8(3.14) = 25.12 units

Hence, the circumference equal to 25 units

Learn more about perimeter of square here:

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The number of bacteria, B, in a refrigerated food is given by the function b(t) = 15t2 - 60t + 125, where t is the temperature o

Nimfa-mama [501]

Answer: $b(t(h))=135h^2+180h+125$

Step-by-step explanation:

Given: The number of bacteria, B, in a refrigerated food is given by the function $b(t)=15t^2-60t+125$ , where t is the temperature of food in degrees Fahrenheit.

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Now, the number bacteria in the food in h hours is given by:-

$b(t(h))=15(3h+4)^2-60(3h+4)+125\\=15(9h^2+16+24h)-180h-240+125\\=135h^2+240+360h-180h-240+125\\=135h^2+180h+125$

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$b(t(h))=135h^2+180h+125$

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2 years ago

number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does

vladimir1956 [14]

Answer:

It takes 1.77 hours for the population to double.

Step-by-step explanation:

Equation for population growth:

The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:

$P(t) = P(0)(1+r)^t$

Growth rato parameter of 48% per hour

This means that $r = 0.48$ . So

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1+0.48)^t$

$P(t) = P(0)(1.48)^t$

How many hours does it take the size of the sample to double?

This is t for which P(t) = 2P(0). So

$P(t) = P(0)(1.48)^t$

$2P(0) = P(0)(1.48)^t$

$(1.48)^t = 2$

$\log{(1.48)^t} = \log{2}$

$t\log{1.48} = \log{2}$

$t = \frac{\log{2}}{\log{1.48}}$

$t = 1.77$

It takes 1.77 hours for the population to double.

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