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3 years ago

Your friend thinks that the equation k-3.5=21, is he correct? explain.

Mathematics

1 answer:

Gelneren [198K]3 years ago

8 0

Answer:

This could be correct in the case and only if k would equal 24.5 so only in that case

Step-by-step explanation:

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Answer:

The beam should be placed 8 feet from the center.

Step-by-step explanation:

The struts are y = √(x + 8) and y = √(x − 4). The struts are 2 feet apart at the location of the beam:

√(x + 8) − √(x − 4) = 2

Solving:

√(x + 8) = 2 + √(x − 4)

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3 years ago

In a laboratory under favorable conditions, a bacteria population grows at an exponential rate. the number of cells C in the pop

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Step-by-step explanation:

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4 years ago

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3 years ago

11. The doubling time of a population of plants is 12 years. Assuming that the initial population is 300 and that the rate of in

Anastasy [175]

Answer:

The population will be of 2400 in 36 years.

Step-by-step explanation:

The equation for the population of plants after t years follows the following format:

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

In which P(0) is the initial amount of plants and r is the yearly rate which it increases.

Assuming that the initial population is 300

This means that P(0) = 300.

The doubling time of a population of plants is 12 years.

This means that P(12) = 2*300 = 600.

We use this to find r.

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

$600 = 300(1+r)^{t}$

$(1+r)^{12} = 2$

$\sqrt[12]{(1+r)^{12})} = \sqrt[12]{2}$

$1 + r = 1.05946$

$P(t) = 300(1.05946)^{t}$

How large will the population be in 36 years

This is P(36)

$P(t) = 300(1.05946)^{36} = 2400$

The population will be of 2400 in 36 years.

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3 years ago