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Grace [21]
3 years ago
6

Determine if the data comes from a linear function or an exponential function. Then, enter

Mathematics
1 answer:
svet-max [94.6K]3 years ago
8 0

1.  The data is not linear.  There's not a constant difference between the f(x) values.  (AKA there's not a fixed slope between the data points)

2. The data is exponential, because there's a consistent ratio in the f(x) values:

     189/567 = 1/3

     63/189 = 1/3

     21/63 = 1/3

     7/21 = 1/3

Each new y-value (aka f(x)-value) is 1/3 the previous value.

Also, f(0)=567.

If we put that together, we have f(x) = 567 (1/3)^x.

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liberstina [14]
350+(2*350)+400=1450
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4 years ago
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An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa
Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = 7^{\circ}

\angle CAB = \angle DCA = 7^{\circ}       [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

\tan (\theta) = \frac{Opposite side}{Adjacent Base}

\tan (\angle CAB) = \frac{BC}{AB}

Here, BC = 50 foot and \angle CAB =7^{\circ}

then;

\tan (7^{\circ}) = \frac{50}{x}

or

x = \frac{50}{\tan 7^{\circ}}

x = \frac{50}{0.1227845609}

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'





5 0
3 years ago
In a study about all terrain vehicle usage, the number of people using 4-wheelers is shown by age group.
DochEvi [55]

Answer:

44-55-0.243

33-37-0.343

6 0
3 years ago
4x-5=2x+7 midpoint segmen
Bogdan [553]

Answer:

x = 6

Step-by-step explanation:

The way to solve this is by subtracting 2x from both sides. Now we have

2x-5=7

Then we add 5 from both sides. Now we have

2x=12

We do this because we want X by itself

Then we divide by 2 on both sides and now we have

x = 6

If you have any questions feel free to ask in the comments.

7 0
4 years ago
There are eight houses on Jeremiah Street each house has one willow tree six apple trees and two olive trees how many trees are
tiny-mole [99]
Add 8 multiple 6= the value
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3 years ago
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