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nasty-shy [4]
3 years ago
13

There are 1,000 fish in a lake. Each year the population declines by 15%, but afterward, the lake is restocked with 500 addition

al fish. Write a recursive rule to find the number of fish in the lake for any year.
Mathematics
2 answers:
Makovka662 [10]3 years ago
7 0
We begin with 1,000 fish in a lake.
Each year the population declines to 15%
Then they put back 500 fish in the lake.

The equation: (1000 * .85) +500.
Alenkasestr [34]3 years ago
5 0

Answer: its D

i just took the test hope this helps you im so ready for school to end

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No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Mariana [72]
This is the question:

A bicycle manufacturing company makes a particular type of bike.

Each child bike requires 4 hours to build and 4 hours to test.

Each adult bike requires 6 hours to build and 4 hours to test.

With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.

If c represents child bikes and a represents adult bikes,

determine which system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week

 

Now you can state the system of inequalities from the statements

1) First inequality based on the hours availble to buiding


Each child bike requires 4 hours, e<span>ach adult bike requires 6 hours to build and </span>the company is able to have up to 120 hours of building =>


4c + 6a ≤ 120


2) Second inequality based of the hours available to testing.


Each child bike requires 4 hours to test, each adult bike 4 hours to test and the company is able to have up 100 hours of testing time for a week =>


4c + 4a ≤ 100

Then the two inequalities are:

4c + 6a ≤ 120
4c + 4a ≤ 100

<span>The answer is Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Which you can verify by replacing in both equations 10 for c and 12 for a. Look:

1) 4(10) + 6(12) = 40 + 72 = 112 ≤ 120

2) 4(10) + 4(12) = 40 + 48 = 88 ≤ 100




</span>



6 0
3 years ago
Read 2 more answers
Write the equation of a circle centered at the
Fudgin [204]

Answer:

(x+4)^2+(y+6)^2=100

Step-by-step explanation:

Given a circle centred at the point P(-4,-6) and passing through the point

R(2,2).

To find its equation, we follow these steps.

Step 1: Determine its radius, r using the distance formula

For point P(-4,-6) and R(2,2)

\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Radius=}\sqrt{(2-(-4))^2+(2-(-6))^2} \\=\sqrt{(2+4))^2+(2+6)^2}\\=\sqrt{6^2+8^2}\\=\sqrt{100}\\Radius=10

Step 2: Determine the equation

The general form of the equation of a circle passing through point (h,k) with a radius of r is given as: (x-h)^2+(y-k)^2=r^2

Centre,(h,k)=P(-4,-6)

r=10

Therefore, the equation of the circle is:

(x-(-4))^2+(y-(-6))^2=10^2\\\\(x+4)^2+(y+6)^2=100

3 0
3 years ago
Lovell decorates reclaimed shorts and sells them. She pays $420 per month in rent and $21 in expenses for each pair of shorts. S
kirill [66]
Answer: 30 pairs of shorts

21x+420=35x
subtract 21x from both sides of the equation.
420=14x
get rid of the x by division
420/14
you get 30 =x
8 0
2 years ago
If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours.
Andreas93 [3]
I think the answer is D, I've been told it's D by many people.
7 0
2 years ago
Read 2 more answers
A. Use the roster method to write the given set. You may need to consult a reference, such as the Internet or an encyclopedia. (
jarptica [38.1K]

Answer:

Following are the responses to the given question:

Step-by-step explanation:

For point A:

\{0,1,2,3,4,5,6,7,8\}

For point B:

{x | x is the positive square number less than or equal to 81}

For point C:

All given sets were equal and equal, that since elements and the element no. are identical.

7 0
3 years ago
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