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Nostrana [21]
3 years ago
5

Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as many rabbits as the year before.

How many rabbits were there after x years? Write a function to represent this scenario.
A. f(x) = 6(x)^4
B. f(x) = 4(6)^x
C. f(x) = 4(x)^6
D. f(x) = 6(4)^x
Mathematics
2 answers:
asambeis [7]3 years ago
8 0
C. is the right answer.
QveST [7]3 years ago
3 0

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Initial population of rabbits =<em> A = </em>6

Each year, there were 4 times as many rabbits as the year before.

i.e. b = 4

Let the number of years be x.

So, our required equation will be

f(x)=Ab^x=6(4)^x

Hence, Option 'D' is correct.

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Answer: I would say try and use your 150 stars you’ll save more money for that day and earn more stars.

Step-by-step explanation:Hope this helps!

8 0
2 years ago
Marsha sees an airplane flying overhead. The spot on the ground that is directly under the plane is 3,600 feet from Marsha's hou
Rudiy27

The elevation of the plane is 3600 ft

Let

  • h = elevation of plane,
  • d = distance from Marsha's house to spot on ground below plane = 3600 feet and
  • Ф = angle of elevation of plane = 45°

From the triangle, we have the trigonometric ratio

tanФ = h/D

<h3>Elevation of the plane</h3>

Making h subject of the formula, we have

h = DtanФ

substituting the values of the variables into the equation, we have

h = DtanФ

h = 3600 ft × tan45°

h = 3600 ft × 1

h = 3600 ft

So, the elevation of the plane is 3600 ft

Learn more about elevation of the plane here:

brainly.com/question/26380084

7 0
2 years ago
If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=8/17and cos b=1
n200080 [17]

Recall the sum identity for cosine:

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

so that

cos(a + b) = 12/13 cos(a) - 8/17 sin(b)

Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,

cos²(a) + sin²(a) = 1   ⇒   cos(a) = √(1 - sin²(a)) = 15/17

cos²(b) + sin²(b) = 1   ⇒   sin(b) = √(1 - cos²(b)) = 5/13

Then

cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221

6 0
2 years ago
Dinner for a family of 3 at the local Italian Eatery came to $47.83 before tax. If the family wanted to tip their server 20%, ho
EastWind [94]

Answer:

$9.57

Step-by-step explanation:

47.83 x 20% = 9.57

5 0
2 years ago
Which statements are true about the graph?
lianna [129]

Answer: The graph shows exponential decay

              The graph shows y = 2^x reflected over the y-axis

Step-by-step explanation:

When<u> 0<b<1 </u>, the graph shows <u>exponential decay</u>. In this case, b was equal to 1/2 as shown by the graph alongside the question. Therefore, the graph shows exponential decay.

The graph of y = 2^x would show a reflection of y = 1/2 ^x over the y-axis, therefore the graph shows <u>y = 2^x reflected over the y-axis</u>.

8 0
2 years ago
Read 2 more answers
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