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lesya692 [45]
3 years ago
8

HELPPPP!!!! Which model does the graph represent?

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0

Answer:

  C.  y = Ae^(-(x-b)²/c)

Step-by-step explanation:

A is a model of exponential growth.

B is a model of exponential decay.

D is a "logistic function" model of growth in an environment of limited resources. It produces an "S" shaped curve.

The given bell-shaped curve can be described by the function of C, which decays either side of an axis of symmetry.

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How do you tell what rate a slope represents?
LiRa [457]
La pendiente de un dibujo nos muestra la tasa de cambio de un punto del gráfico a otro punto<span />
6 0
4 years ago
Find the volume of the solid whose base is the circle x2+y2=25 and the cross sections perpendicular to the x-axis are triangles
ivanzaharov [21]

Triangles with height h and base b, with b=h have area \dfrac{b^2}2.

Such cross sections with the base of the triangle in the disk x^2+y^2\le25 (a disk with radius 5) have base with length

b(x)=\sqrt{25-x^2}-\left(-\sqrt{25-x^2}\right)=2\sqrt{25-x^2}

i.e. the vertical (in the x,y plane) distance between the top and bottom curves describing the circle x^2+y^2=25.

So when x=4, the cross section at that point has base

2\sqrt{25-16}=6

so that the area of the cross section would be 6^2/2 = 18.

In case it's relevant, the entire solid would have volume given by the integral

\displaystyle\int_{-5}^5\frac{b(x)^2}2\,\mathrm dx=4\int_0^5(25-x^2)\,\mathrm dx=\frac{1000}3

6 0
3 years ago
Solve y=x^2+23 for x
LenKa [72]

For this case we must clear x from the given equation:

y = x ^ 2 + 23

We passed 23 subtracting the other side of equality:

y-23 = x ^ 2

By definition, a ^ 2 = bis written as a = +/-\sqrt{b}

So, we have:

x = + / -\sqrt{(y-23)

So, the solution of y = x ^ 2 + 23 for x is:

x = + / -\sqrt{(y-23)

Answer:

x = + / -\sqrt{(y-23)

x1=+\sqrt{(y-23)

x2=-\sqrt{(y-23)


7 0
3 years ago
If they bake only cakes, then in a single day George can bake 10 cakes while Greta can bake 5 cakes. If they only make pies, the
NikAS [45]

Answer:

George rate of baking cakes is ten cakes per day and it is double of Greta rate of baking cake.

George rate of baking pies is ten pies per day and it is two and a half times of Greta's rate of baking pies. There ratio for baking cakes is 1:2 for Greta and George respectively and for baking pies is 1:2.5 for Greta and George respectively

8 0
3 years ago
A flagpole that was originally 24 feet tall has cracked 9 feet from the ground and has fallen as if hinged. Find
Dimas [21]
The top of the flag pole touched the ground 12 feet from the base.

Since it cracked 9 feet from the base, 9 is the vertical leg of the right triangle formed.  The rest of the flagpole, 24-9=15, is the hypotenuse, as it is slanted down to the ground.  The missing side is the horizontal leg, which we will call b:

9²+b²=15²
81+b²=225

Subtract 81 from both sides:
81+b²-81=225-81
b²=144

Take the square root of both sides:
√b²=√144
b=12
8 0
4 years ago
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