1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MariettaO [177]
3 years ago
15

The rabbit population in a small zoo starts with 150 rabbits. The rabbit population is decreasing at a rate of 15% each week. Wh

ich of the following represents the total number of fish, F(x), after x number of weeks. (4.2)
a. F(x) = 150( .15)^x


b. F(x) = 150 (1.15)^x


c. F(x) = .85 (150)^x


d. F(x) = 150 (.85)^x


e. None of the above.
Mathematics
2 answers:
Mariulka [41]3 years ago
8 0

Answer:

Option D F(x)=150(0.85)^{x}

Step-by-step explanation:

In this problem we have a exponential function of the form

F(x)=a(b)^{x}

where

F(x) -----> the rabbit population

x ----> the number of weeks

a is the initial value

b is the base

In this problem we have

a=150 rabbits

b=1-r

r=15%=15/100=0.15

so

b=1-0.15=0.85

substitute the values

F(x)=150(0.85)^{x}

Fiesta28 [93]3 years ago
3 0

Answer:

e. none of the above

Step-by-step explanation:

I had this question as well and if you look closely, the question describes the function in terms of rabbits, when the actual question describes fish. I believe that because the question is asking for fish when only information on rabbits has been given, the only logical answer would be e. none of the above...

You might be interested in
How do you solve this equation?
Natasha2012 [34]

Answer:

5 \sqrt{2}

= 7.071067812

Step-by-step explanation:

hope this helps

8 0
2 years ago
The top and bottom margins of a poster 66 cm each, and the side margins are 44 cm each. If the area of the printed material on t
jasenka [17]

Answer:

  • width: 24 cm
  • height: 36 cm

Step-by-step explanation:

When margins are involved, the smallest area will be the one that has its dimensions in the same proportion as the margins. If x is the "multiplier", the dimensions of the printed area are ...

  (4x)(6x) = 384 cm^2

  x^2 = 16 cm^2 . . . . . divide by 24

  x = 4 cm

The printed area is 4x by 6x, so is 16 cm by 24 cm. With the margins added, the smallest poster will be ...

  24 cm by 36 cm

_____

<em>Comment on margins</em>

It should be obvious that if both side margins are 4 cm, then the width of the poster is 8 cm more than the printed width. Similarly, the 6 cm top and bottom margins make the height of the poster 12 cm more than the height of the printed area.

_____

<em>Alternate solution</em>

Let w represent the width of the printed area. Then the printed height is 384/w, and the total poster area is ...

  A = (w+8)(384/w +12) = 384 +12w +3072/w +96

Differentiating with respect to w gives ...

  A' = 12 -3072/w^2

Setting this to zero and solving for w gives ...

  w = √(3072/12) = 16 . . . . matches above solution.

__

<em>Generic solution</em>

If we let s and t represent the side and top margins, and we use "a" for the printed area, then the above equation becomes the symbolic equation ...

  A = (w +s)(a/w +t)

  A' = t - sa/w^2

For A' = 0, ...

  w = √(sa/t)

and the height is ...

  a/w = a/√(sa/t) = √(ta/s)

Then the ratio of width to height is ...

  w/(a/w) = w^2/a = (sa/t)/a

  width/height = s/t . . . . . . the premise we started with, above

6 0
3 years ago
What is the greatest whole number that rounds to the number 277,300?
lorasvet [3.4K]

That whole number is  277,349.

8 0
3 years ago
(10-P) Help please, thanks.
Anuta_ua [19.1K]
The formula of linear equation is:
y1  -  y2 = m(x1  -  x2)
Where
x1 and x2: x coordinates(-1 and 3)
y1 and y2: y coordinates(-2 and 10)
m is the slope

We can then choose a point from the line to find the eqaution.

We need to first find the slope:
\frac{y1 - y2}{x1 - x2}
In this case:
\frac{ - 2 - 10}{ - 1 - 3}   \\ =  \frac{ - 12}{ - 4}  \\  = 3

In this case, as the y2 is given as 1,put (-1,-2) , and the slope(3 )into the eqaution :

y-(-2) = 3(x-(-1))
y+2 = 3(x+1)

Therefore
y + 2 = 3x + 1
is the answer.

Hope it helps!
7 0
3 years ago
Sue needs to drive 372 miles to visit her aunt. She stopped at a gas station one-third of the way in to her trip. How many miles
IRINA_888 [86]

Answer:

Sue has traveled 124 miles.

Step-by-step explanation:

Here, the distance covered by Sue is a fraction of the total distance to be covered.

The total distance to her aunt's = 372 miles

but the gas station is at one-third of the distance to be covered.

Thus,

Miles traveled by Sue = \frac{1}{3} x 372

                                    = 124

Miles traveled by Sue = 124 miles.

Therefore Sue has traveled 124 miles.

6 0
2 years ago
Other questions:
  • A sinusoidal function whose period is π2 , maximum value is 10, and minimum value is −4 has a y-intercept of 10. what is the equ
    12·2 answers
  • Find a single expression that represents the distance from Adam's house to the corner if the distance between Adam's house and J
    10·1 answer
  • The reciprocal of 11 over 7<br> -
    5·2 answers
  • A = 12 and b = 25 ,what Is the area of the pencil
    11·2 answers
  • Write five numbers that round to 360 when rounded to the nearest ten
    13·2 answers
  • What is a fraction for 0.8
    10·1 answer
  • Use the order of operation to simplify<br> ( 1/3x 1/3)x 9
    7·1 answer
  • Formula for triangle are
    11·1 answer
  • Order these three values from least, middle, and greatest.
    7·1 answer
  • Someone please tell me this answer!!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!