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3 years ago

Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis?

Mathematics

2 answers:

aleksley [76]3 years ago

7 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

In a reflection across the y-axis the y-coordinate remains the same, but the x-coordinate is transformed into its opposite

we have

$f(x)=2(0.4)^{x}$

The reflection of f(x) across the y-axis is equal to the function g(x)

$g(x)=2(0.4)^{-x}$

The graph in the attached figure

11111nata11111 [884]3 years ago

7 0

Answer:

i think its a, but dont be mad if im rong.

Step-by-step explanation:

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The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

$V_{s}=\frac{4}{3}\pi r^3$

Then, the composite figure is:

$V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)$

The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

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masya89 [10]

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zhenek [66]

Answer:

Step-by-step explanation:

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luda_lava [24]

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Step-by-step explanation:

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lora16 [44]

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