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
Yanka [14]
3 years ago
5

A population of rabbits in a lab, p(x), can be modeled by the function p(x) = 20(1.014)x , where x represents the number of days

since the population was first counted. Explain what 20 and 1.014 represent in the context of the problem [2 points]. Determine, to the nearest tenth, the average rate of change from day 50 to day 100
Mathematics
1 answer:
Nitella [24]3 years ago
7 0

Answer:

20 = initial population of the rabbits

1.014 = growth rate of the rabbits

the average rate of change from day 50 to day 100 is 0.8

Step-by-step explanation:

A population of rabbits in a lab, p(x), can be modeled by the function

p(x) = 20(1.014)^x

This model is exponential. Where 20 = initial population of the rabbits

1.014 = growth rate of the rabbits with 1.4% increase rate of the rabbits

To find the average rate of change from day 50 to day 100,

find the population p(50) and p(100). Subtract them and divide by 100 - 50 = 50. 

p(50) = 20(1.014)50 = 40.08... 

p(100) = 20(1.014)100 = 80.32... 

(80.32 - 40.08) / (100 - 50) = 40.24/50 = 0.8048. which is approximately 0.8 to the nearest tenth. 

The rate of change is 0.8. 

You might be interested in
2 + 10 = 24<br>3 + 6 = 27<br>7 + 2 = 63<br>5 + 3 = ????​
True [87]
  • Answer:

<em>40</em>

  • Step-by-step explanation:

<em>2 + 10 = 24</em>

<em>2(2 + 10) = 2×12 = 24</em>

<em>3 + 6 = 27</em>

<em>3(3 + 6) = 3×9 = 27</em>

<em>7 + 2 = 63</em>

<em>7(7 + 2) = 7×9 = 63</em>

<em>5 + 3 = 40</em>

<em>5(5 + 3) = 5×8 = 40</em>

7 0
3 years ago
Can please help!
sukhopar [10]
Answer:
equation is: width = area / length
width = 62.5 yd

Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width 
area = 75 * 60
area = 4500 yd²

For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd

Hope this helps :)
5 0
3 years ago
Quadrilateral PQRS is circumscribed about a circle. Line PQ is tangent to the circle at A, line QR at B, line RS at C, and line
yuradex [85]
The sum of the angles of a quadrilateral is 360 degrees.  So P+Q+R is 206, 360 - 206 = 154 degrees, the measure of angle S.

The four triangles, AQB, BRC, CSD, and DPA are all isosceles.  So angle QBA = angle BAQ, etc.  We find QBA = (180-24)/2 or 78 degrees.

RBC = (180-114)/2 = 33 degrees.

180 - (78 + 33) is the measure of angle B:  69 degrees.

The student should be able to see how to calculate the missing information from this.
6 0
2 years ago
Earth is approximately 9.3 × 107 miles from the sun. Saturn is approximately 8.87 × 108 miles from the sun. About how much farth
Nastasia [14]

Answer:

Both distances are in the scientific notation:

Earth - Sun = 9.3 * 10^7 miles

Saturn - Sun = 8.87 * 10^8 miles

8.87 * 10^8 - 9.3 * 10^7 =

= 88.7 *10^7 - 9.3 * 10^7 =

= 79.4 * 10^7 = 7.94 * 10 ^8 = 794,000,000 miles

Answer: Saturn is  7.94 * 10^8 miles farther from Sun than Earth is.

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson

7 0
3 years ago
What is the approximate area of the shaded sector in the circle shown below?
Veronika [31]

Answer:

11.45

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • I need help with Exponential Equations, where can i go to get answers
    12·1 answer
  • The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?
    12·1 answer
  • 1. is -3 greater or less than -7?
    12·1 answer
  • How to answer this in interval notation?<br> x+1/x+7 is less than or equal to 0
    14·1 answer
  • The ratio of backslappers to wallflowers at the political convention was 20 to I. If there were 460 backslappers, how many wallf
    8·1 answer
  • Find the surface area of the cylinder. Use 3.14 for p.​
    10·1 answer
  • At 5 a.m., the temperature at an airport was −9.4°F . Six hours later, the temperature was 2.8°F .
    12·1 answer
  • What is the answer to this problem 9/14= (x+8)/(3x-2)
    10·1 answer
  • Can you please help me with this.. you only have to do the first one (a)
    6·2 answers
  • someone help me please I don't want to do this by myself because I don't fully understand I need to finish this tonight
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!