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VMariaS [17]
3 years ago
5

How do I do rate of change???

Mathematics
1 answer:
Bad White [126]3 years ago
7 0

Answer:

12

Step-by-step explanation:

For our problem since we only in 10 am:

I'm going to let x=4 represent the time 10:04 am

which means I'm going to let x=17 represent 10:17am.

So when x=4, y=23 miles and when x=17,y=179 miles.

You have two points.

You can use the formula m=\frac{y_2-y_1}{x_2-x_1}.

Or just line the points up vertically and subtract them vertically, then put 2nd difference over first difference. Like this:

(    17  ,   179)

-(     4 ,      23)

-----------------------

   13          156

So the slope is 156/13=12 miles/hour.

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Whats the center and radius of (x+3)^2+(y-5)^2=64
Alexandra [31]

Answer:

The answer to your question is Center = (-3, 5)  radius = 8

Step-by-step explanation:

Data

                (x + 3)²  +  (y - 5)² = 64

Process

Because of the characteristics of the equation, we conclude that it is a circle.

Standard form of a circle:

              (x - h)² + (y - k)² = r²

In this form of the equation, the center has coordinates (h, k), just change the signs.

And to get the radius, just get the square root of r²

h = -3

k = 5

r = 8

Center = (-3, 5)

radius = 8

5 0
3 years ago
Newton’s law of cooling states that the temperature of an object changes at a rate proportionalto the difference between the tem
Verizon [17]

Answer:

\frac{dT}{dt} = -0.05\;min^{-1}  (T-70\ºF)

Step-by-step explanation:

Hi!

Lets call:

T = temprature of the object

T₀ = temperature of surroundings

t = time

The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:

\frac{dT}{dt} = -k(T-T_0) \\

In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:

\frac{dT}{dt} = -0.05\;min^{-1}  (T-70\ºF)

3 0
3 years ago
Which equation represents a proportional relationship?
bonufazy [111]
It's the first one. y = 3x
proportional means they are just some multiple of the other.
4 0
3 years ago
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Round 5.242 to the nearest TENTH
Alex787 [66]
5.242 to the nearest tenth is 5.2.
6.537 to the nearest tenth is 6.5.
11.382 to the nearest tenth is 11.4.
8 0
3 years ago
Read 2 more answers
What are the solutions of 3d-<-10or 2d+7>9?
Natali5045456 [20]

3d < -10\ \vee\ 2d+7 > 9\\\\(1)\qquad3d < -10\ \ \ \ |:3\\.\qquad \qquad d < -\dfrac{10}{3}\\\\(2)\qquad2d+7 > 9\ \ \ \ |-7\\.\qquad\qquad2d > 2\ \ \ \ |:2\\.\qquad\qquad d > 1\\\\Answer:\ d < -\dfrac{10}{3}\ \vee\ d > 1\to d\in\left(-\infty,\ -\dfrac{10}{3}\right)\ \cup\ (1,\ \infty)

3 0
3 years ago
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