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ivann1987 [24]
3 years ago
12

Sarah is trying to convince her friend Brianna that the exponential function f(x) = 2x will eventually grow larger than the poly

nomial function g(x) = x30. When Brianna plugs in 5 for x and sees that f(5) = 25 = 32, while g(5) = 530 = 9.3 x 1020, she is really convinced that f will never be larger than g. Which of these is the smallest value of x that Sarah can use to prove that f will grow larger than g? A) 10 B) 100 C) 1000 D) 10000
Mathematics
2 answers:
Dahasolnce [82]3 years ago
7 0

Answer:

1000

Step-by-step explanation:

atroni [7]3 years ago
5 0
C) 1000.

2^1000 = 1^301, whereas 1000^30 is 1^90
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Can somebody help me? I’m already failing :(
Yuliya22 [10]

Answer:

125

Step-by-step explanation:

f(1)= the first time (32,000)

n= 9

r= .5 (each term is being mulitplied by .5 to get the next one

We have

32,000*(.5)^(9-1)

32,000*(.5)^8

=125

5 0
2 years ago
7.) The width of a vegetable garden is times its length. If the length of the garden is 73
Solnce55 [7]

Answer:

So, the length (L) = 7 3/4 ft = 31/4 (as an improper fraction)

 

the width (W)  = (1/3)xL

 

So the width = 1/3 x (31/4) =

31/12 = 2  7/12 feet

Step-by-step explanation:

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2 years ago
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lana66690 [7]

Answer:

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4 0
3 years ago
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A polygon with points (-3, 3), (-3, 0), (3,0) and (6,3) reflects across the y-axis. Which is a point on the transformed polygon?
Aloiza [94]

Answer:

0,-3

Step-by-step explanation:

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3 0
3 years ago
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Two triangular roofs are similar. The ratio of the corresponding sides of these roofs is 2:3. If the altitude of the smaller roo
schepotkina [342]

Answer:  6.75 feet

Step-by-step explanation:

Since, the ratio of the side of the similar triangle = 2 : 3

Thus, by the property of similar triangle,

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And, the altitude of larger triangle = 3 x

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According to the question,

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x = 2.25

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3 years ago
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