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levacccp [35]
4 years ago
8

What is the exponential function that best models the number of gnats the scientists have gathered after the number of hours lis

ted in the table below?

Mathematics
1 answer:
Serjik [45]4 years ago
5 0

Answer:

Option A

f(x) = 12.5(1.6)^x

Step-by-step explanation:

The number of gnats the scientists have gathered

At 0 hours, they gathered 12 gnats.

Checking all the options, applying x = 0 makes the index part become 1 (Anything raised to the power zero is 1).

So, we have the following functions

f(x) = 12.5

f(x) = 12.6

f(x) = 6.2

f(x) = 1.6

This has reduced our work, as we can screen out options C and D, they are too far from 12. This leaves us with option A and B.

At 1 hour, they gathered 20 gnats.

Checking options A and B

A. f(x) = 12.5(1.6)

= 20

B. f(x) = 12.6(6.2)

By inspection, 12 × 6 is already 72,

12.6 × 6.2 will be more.

By these, we can conclude that f(x) = 12.5(1.6)^x has the best models the number of gnats the scientists have gathered after the number of hours listed in the given table.

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It equals to 3/13
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2+1=3
and your answer will be 3/13
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3 years ago
Two numbers are in the ratio 7:9 if the sum of the number is 112 then the lrger number is?
nordsb [41]

Answer:

63

Step-by-step explanation:

the numbers are in ratio 7 : 9 = 7x : 9x ( x is a multiplier )

given the sum of the numbers = 112 , then

7x + 9x = 112 , that is

16x = 112 ( divide both sides by 16 )

x = 7 , then

9x = 9 × 7 = 63 ← value of larger number

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2 years ago
Which function has a greater rate of change that the function represented in the table
Galina-37 [17]

I don't see a table


3 0
3 years ago
A number +5 more than three times the number is 37 find the number
xz_007 [3.2K]

Answer: 10 \frac{2}{3}

A number: x

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1 year ago
What is the range of the function graphed below?
PilotLPTM [1.2K]

Answer:

[-4,0) ∪ [2, ∞)

Step-by-step explanation:

For piecewise function domain and range, we need to understand the difference between "(" and "["  or  ")" and "]"

  • The parenthesis ( "(" and ")" ) are used for "open circles" in the graph.
  • The brackets ( "[" and "]" ) are use for "closed circles" in the graph.

Range is the set of y-values for which the function is defined.

Now,

The upper part of the function shows the graph going from y = 2 towards infinity (arrow). At y = 2 , there is closed circle, so this part range would be

[2, ∞)  (infinity is always with parenthesis)

Now, looking at bottom part, the function is defined from 0 (open circle) to -4 (closed). so we can write:

[-4,0)

This is the range, 2nd answer choice is correct.

[-4,0) ∪ [2, ∞)

3 0
3 years ago
Read 2 more answers
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