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4 years ago

Find the shortest distance from D to B in the diagram below.

Mathematics

2 answers:

TiliK225 [7]4 years ago

8 0

I believe that the answer is B 17

Anestetic [448]4 years ago

4 0

The answer is B.

Use the Pythagorean theorem. A^2+b^2=c2
A will be length and b will be width.
15^2+8^2=c^2
225+64=c^2
289=c^2
Square root of 289 is 17
17=c

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Question 6 of 25<br> Evaluate 4(x - 3) + 5x - x2 for x = 3.<br> -

Zanzabum

$\text{Given that,}\\\\4(x-3) +5x -x^2\\\\\text{For x =3,}\\\\4(3-3) +5(3) -3^2 = 4(0) +15 -9 = 6$

6 0

3 years ago

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Professor Nwamabi is conducting an experiment in which he is examining the effects of air conditioning on sleep habits. 100 part

miskamm [114]

In the research of Professor Nwamabi the use of air conditioning represents independent variable.

Given 100 participants are randomly selected in a research in which effects of air conditioning on sleep habits is studied.

Dependent variable is the variable whose value is dependent on the other variables like increase in profit and production.

Independent variable is the variable whose value is not dependent on the other variables.

In the research of Professor Nwamabi in which he is examining the effects of air conditioning on sleep habits, use of air conditioning represents independent variable. In this study the effect is on sleep habits means the value of sleep habits will change due to use of air conditioning. It shows that the use of air conditioning is not depending on other variable in the research.

Hence the use of air conditioning represents the independent variable.

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3 0

2 years ago

n many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that t

givi [52]

Answer:

$\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})$

Step-by-step explanation:

The logistic function of population growth, that is, the solution of the differential equation is as follows:

$P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}$

We use this equation to find the value of r.

In this problem, we have that:

$K = 16, P_{0} = 2, P(50) = 4$

So we find the value of r.

$P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}$

$4 = \frac{16*2e^{50r}}{16 + 2*(e^{50r} - 1)}$

$4 = \frac{32e^{50r}}{14 + 2e^{50r}}$

$56 + 8e^{50r} = 32e^{50r}}$

$24e^{50r} = 56$

$e^{50r} = 2.33$

Applying ln to both sides of the equality

$50r = 0.8459$

$r = 0.017$

The differential equation is

$\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})$

3 0

3 years ago

Could someone please help me with this

kicyunya [14]

Answer: i think it would be D

Step-by-step explanation:

7 0

3 years ago

In the figure, what is the length of the tangent from the external point D to point B?

Phoenix [80]

The length of the tangent from point D to point B can be calculated by adding the length of BC to the length of BD.

We are given that:
BC = 2 units
CD = 2 units

Therefore:
BD = BC + CD
BD = 2 + 2
BD = 4 units

4 0

3 years ago

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