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12345 [234]
3 years ago
13

Which option below shows the graph of the function g(x) = (0.20)2 x ?

Mathematics
2 answers:
taurus [48]3 years ago
4 0
The first/selected graph matches g(x)=0.2*2^x
mariarad [96]3 years ago
3 0

Answer:

Option 1

Step-by-step explanation:

Given : The function g(x)=(0.20)2^x

To find : Which option below shows the graph of the given function ?

Solution :

We know that,

The y-intercept of a function is the value of y when the value of x is equal to zero.

Substitute x=0 in the given function,

g(0)=(0.20)2^0

g(0)=0.20

This shows that graph is passing through the point (0,0.20).

In the following options on graph 1 the point passes through the point.

Therefore, Option 1 is correct.

Refer the attached figure.

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Find the approximate volume of the figure below, composed of a cone, a cylinder, and a hemisphere. If necessary, round your answ
mixas84 [53]

Answer:

Volume of the solid = 480.42m³

Step-by-step explanation:

To sov this question, we'll have to break the solid into different shapes of solid to solve it easily.

Volume of a cylinder = πr²h

volume of a hemisphere = 4/3πr³

Volume of a cone = ⅓πr²h

π = 3.14

r = 3m

h(cylinder) = 11m

Slant height of cone = 3√(2)

Height of cone = ?

To find height of cone, we can use pythagorean theorem

a² = b² + c²

[ 3√(2)]² = 3² + c²

9*2 = 9 + c²

C² = 18 - 9

C = 9m

Height of the cone = 9m

Volume of a cylinder = πr²h

V = 3.14 * 3² * 11

V = 310.86m³

Volume of the cylnder = 310.86m³

Volume of the hemisphere = 4/3πr³

V = 3.14 * 3³

V = 84.78m³

Volume of the hemisphere = 84.78m³

Volume of the cone = ⅓πr²h

V = ⅓ * 3.14 * 3² * 9

V = 84.78

Volume of the cone = 84.78m³

Volume of the solid = volume of cone + volume of hemisphere + volume of cylinder

Volume of the solid = 84.78 + 84.78 + 310.86

Volume = 480.42m³

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How many solutions does the system of equations below have? x+y=4 and x-y=6
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X+y=4 :x=4-y,yR
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