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3 years ago

What’s the slope of (2,4) and (4,9)

Mathematics

1 answer:

serious [3.7K]3 years ago

6 0

Answer:

2.5

Step-by-step explanation:

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What is the difference between categorical and quantitative data? Give examples of each of your own for each. Also decide whethe

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Categorical data may or may not have some logical order while the values of a quantitative variable can be ordered and measured.

Categorical data examples are: race, sex, age group, and educational level

Quantitative data examples are: heights of players on a football team; number of cars in each row of a parking lot

a) Colors of phone cover - quantitative

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3 years ago

PLZ HURRY i dont have much time

natima [27]

Answer:

uggggg is it ummm i dont really know sorry

Step-by-step explanation:

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2 years ago

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The figure is composed of a square with an equilateral triangle on top of it. If the area of the square is 16 square inches. Wha

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Step-by-step explanation:

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2 years ago

Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other sol

nordsb [41]

The ODE has an equilibrium point at

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b=0\implies y=-\dfrac ba$

We want $y=2$ to be an unstable equilibrium solution - in other words, we want all solutions with initial condition $y(t_0)=c$ for $c$ near 2 to diverge from $y=2$ - so $-dfrac ba=2$ .

Divergence from $y=2$ would require that for $y>2$ , any solution is increasing, and for $y$ , and solution is decreasing. In order for that to happen, we need

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b>0\implies y>-\dfrac ba$

if $y>2$ , and

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b$

if $y$ .

Now we just pick $a,b$ to satisfy these conditions. An easy choice is $a=1$ , which forces $b=-2$ , so that one possible ODE would be

$\dfrac{\mathrm dy}{\mathrm dt}=y-2$

I've attached a plot of the slope field to demonstrate the behavior of the solutions.

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3 years ago

The image shows a ray of light bending at the boundary of a glass block. According to a law of optics, = n, where n is a constan

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The law of optics applicable in this scenario is the Snell's Law which states that the ratio of the index of refraction of two media is equal to the ratio of the sine of the angle of reflection and sine of the angle of refraction. In equation form:
n₁ / n₂ = sin b / sin a

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3 years ago

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