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Marta_Voda [28]
3 years ago
6

A population of flies grows according to the function p(x)=6(3)^x, where x is measured in weeks. A local spider has set up shop

and consumes flies according to the function s(x)=4x+1. What is the population of the flies after two weeks with the introduced spider?
Mathematics
1 answer:
Doss [256]3 years ago
7 0
The final population of the flies is equal to the growth rate minus the number of flies consumed by the spiders. That is,
                          final population = 6(3^x) - (4x + 1)
Substituting 2 to the x of the equation above,
                         final population = 6(3²) - (4(2) + 1) = 45
Thus, the final population of the flies would be 45. 
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A spinner is divided into 12 equal sectors labeled with the letters A through L The spinner is spun 80 times.
Snowcat [4.5K]

Answer:

c

Step-by-step explanation:

the answer to this quistion is becasue 36 is an propile number

7 0
2 years ago
the number of users on a new social media website can be modeled by the function f(t) = 12(1.2)^t , where t is the time, in week
Anna71 [15]

The number of users on new social media site increase as 21, 25, 30, 36,
The average rate of change is given by 5.

The function f (t) = 12 (1.2) ^t show how the rate of users increases in weeks.

<h3>What is Average?</h3>

Average of the values is the ratio of total sum of values to the number of values.

Here,  f (t) = 12 (1.2) ^t is defined in the range of (3, 6)
So the value of the function in its range is given by
1)  f (3) = 12 (1.2) ^3
          = 21
2)  f (4) = 12 (1.2) ^4
   =  25
3)   f (5) = 12 (1.2) ^5
    = 30
4)   f (6) = 12 (1.2) ^6
     = 36
Now the average rate of change = sum of all difference in values at every week / max. Difference in interval of range(3,6)

= f(6)-f(3)/6-3
= 15/3
= 5

Thus required average change of rate is 5.

Learn more about average here:

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7 0
2 years ago
Help! Please do a,b,c and d with explanation
pentagon [3]

Answer:

  a.  235°

  b. 146.03 km

  c. 105 km

  d. 193 km

Step-by-step explanation:

a. The bearing of E from A is given as 55°. The bearing in the opposite direction, from E to A, is this angle with 180° added:

  bearing of A from E = 55° +180° = 235°

__

b. The internal angle at E is the difference between the external angle at C and the internal angle at A:

  ∠E = 134° -55° = 79°

The law of sines tells you ...

  CE/sin(∠A) = CA/sin(∠E)

  CE = CA(sin(∠A)/sin(∠E)) = (175 km)·sin(55°)/sin(79°) ≈ 146.03 km

  CE ≈ 146 km

__

c. The internal angle at C is the supplement of the external angle, so is ...

  ∠C = 180° -134° = 46°

The distance PE is opposite that angle, and CE is the hypotenuse of the right triangle CPE. The sine trig relation is helpful here:

  Sin = Opposite/Hypotenuse

  sin(46°) = PE/CE

  PE = CE·sin(46°) = 146.03 km·sin(46°) ≈ 105.05 km

  PE ≈ 105 km

__

d. DE can be found from the law of cosines:

  DE² = DC² +CE² -2·DC·CE·cos(134°)

  DE² = 60² +146.03² -2(60)(146.03)cos(134°) ≈ 37099.43

  DE = √37099.43 ≈ 192.6 . . . km

  DE is about 193 km

7 0
3 years ago
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