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3 years ago

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Mathematics

1 answer:

Marat540 [252]3 years ago

5 0

Answer:

area=πr²=3.14×4²=50.24ft²

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A parabola has its vertex at (2, 1) and crosses the x-axis at (1,0) anu al l

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Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 1), thus

y = a(x - 2)² + 1

To find a substitute (1, 0) into the equation

0 = a(1 - 2)² + 1

0 = a + 1 ( subtract 1 from both sides )

a = - 1

Hence

y = - (x - 2)² + 1 or

y = 1 - (x - 2)² → A

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3 years ago

Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colony starts with 1 bacter

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Answer: There are 2.25×10³⁴ bacteria at the end of 24 hours.

Step-by-step explanation:

Since we have given that

Number of bacteria initially = 1

It triples in number every 20 minutes.

So, $\dfrac{20}{60}=\dfrac{1}{3}$

So, our equation becomes

$y=y_0e^{\frac{1}{3}k}\\\\3=1e^{\frac{1}{3}k}\\\\\ln 3=\dfrac{1}{3}k\\\\k=\dfrac{1.099}{0.333}=3.3$

We need to find the number of bacteria that it will contain at the end of 24 hours.

So, it becomes,

$y=1e^{24\times 3.3}\\\\y=e^{79.1}\\\\y=2.25\times 10^{34}$

Hence, there are 2.25×10³⁴ bacteria at the end of 24 hours.

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There are 4 jacks in a standard deck of 52 playing cards. If Patricia selects a card at random, what is the probability that it

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Morgan works for a company that ships packages and must measure the size of each box that needs to be shipped. Morgan measures a

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Vol. of a rectangular box is L*W*H.

Here, that comes to V = (4.5 in)(9 in)(6.5 in) = 263.25 cubic inches.

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3 years ago

What of the following best describes the advantage of having data presented in a table over a paragraph

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What are the choices?

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