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irakobra [83]
1 year ago
14

I need help asap this is really hard I have had 4 tutors give up on me now

Mathematics
1 answer:
Gnesinka [82]1 year ago
8 0

The function is given as

f(x)=4\cos (\pi x)+1

For the equation of mid-line ,

From the function, we have a vertical shift up 1.

So the mid-line is y=1.

Maximum -

The amplitude of the function is 4.

From 1, you can go up 4 values to find the maximum.

Therefore, the maximum is 1+4=5

Minimum-

The amplitude of the function is 4.

From 1, you can go down 4 values to find the minimum.

Therefore, the minimum is 1-4=-3.

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Researchers have concluded that a dry basin began to fill with water in 1880. the water level rose an average of 1.6 millimeters
docker41 [41]

Answer:

  1. the domain is [0,129]
  2. 112 mm
  3. 1942

Step-by-step explanation:

1. The function is good for years 1880 to 2009, 0 to 129 years after 1880. Values of x can be anything in the domain [0, 129].

__

2. 1950 -1880 = 70. The year 1950 corresponds to x=70, so the function tells us the water level rose ...

  f(70) = 1.6·70 = 112 . . . . . mm

__

3. We want to find x when f(x) = 100. That will be the solution to ...

  100 = 1.6x

  100/1.6 = x = 62.5

Then 62.5 years after 1880 is year 1942.5. The water level was 100 mm higher than in 1880 in the year 1942.

3 0
3 years ago
Which exponential equation is equivalent to the logarithmic equation below? log 478= a
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\hbox{if } \log_x y=z \hbox{ then } x^z=y \\ \\
\log 478=a \\ \downarrow \\
\log_{10} 478=a \\ \Downarrow \\ \boxed{10^a=478}

The answer is A.
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A horse galloped at a rate of 42 mph at this rate what is the closest to the number of meters that the horse for travel in a sec
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