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Leno4ka [110]
3 years ago
14

Compare the two functions.

la1" title="f(x) = \frac{1}{50} (3)^x" alt="f(x) = \frac{1}{50} (3)^x" align="absmiddle" class="latex-formula"> g(x) = \frac{1}{5} x^{2} Which statement is true?

Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0

Answer:

As x increases, the rate of change of f(x) exceeds the rate of change of g(x).

Step-by-step explanation:

Hope this helps :)

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In a flight of 600 km, the speed of the aircraft was slowed down due to bad weather. The average speed of the trip was decreased
UkoKoshka [18]

The average speed would be 600 km/hr.

Step-by-step explanation:

Let the original speed be 'x'

Let the decreased speed be 'x-200'

Distance = 600 km

Time increased by 30 minutes

According to question, it becomes,

\dfrac{600}{x-200}-\dfrac{600}{x}=\dfrac{30}{60}\\\\\dfrac{x-(x-200)}{x^2-200x}=\dfrac{1}{2\times 600}\\\\\dfrac{200}{x^2-200x}=\dfrac{1}{1200}\\\\240000=x^2-200x\\\\x^2-200x-240000=0\\\\x=600,-400

So, The average speed would be 600 km/hr.

5 0
3 years ago
Whos your favorite person? ​
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I need help...I'm new to all this geometry stuff can someone please show me some steps to this problem
Rasek [7]


There really aren't any steps. It's just a handy fact about Isosceles triangles.

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and one of the facts about this kind of triangle is that the angles opposite the
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In your picture, the two sides of the triangle that have tick marks across them
are equal lengths, and that means that the angles at 'S' and 'U' are equal angles.

In this kind of triangle, those are called the "base angles", even though they
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7 0
4 years ago
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The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely wit
yaroslaw [1]

Answer:

Total paper required = 165 cm²

Step-by-step explanation:

Paper required to cover the entire block = (Surface area of the prism at the base - area of the top of the prism) + Lateral surface area of the pyramid

Surface area of the rectangular prism = 2(lb + bh + hl)

(here l, b, h are the length, width and height respectively)

                                                               = 2(5×5 + 5×4 + 4×5)

                                                               = 2(25 + 20 + 20)

                                                               = 2×65

                                                               = 130 cm²

Area of the top of the prism = (side)²

                                              = 5²

                                              = 25 cm²

Lateral area of the square pyramid = 4 × Area of one lateral side

                                                          = 4 × [\frac{1}{2}(\text{Base})(\text{Height})]

                                                          = 4 × [\frac{1}{2}(5)(6)]

                                                          = 60 cm²

Total paper required = (130 - 25) + 60

                                   = 105 + 60

                                   = 165 cm²

7 0
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dedylja [7]

Answer:

the width if 16 feet the length is 32

Step-by-step explanation:

4 0
3 years ago
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