The Hollywood cats are a group of cats that have settled in along the Hollywood Beach in Florida. A group of volunteers feed them and care for them while trying to humanely reduce their numbers (as they are considered a nuisance). If there were 100 cats in the year 2012 and the rate of population change is given

Answers

Answer 1

Complete Question

The Hollywood cats are a group of cats that have settled in along the Hollywood Beach in Florida. A group of volunteers feed them and care for them while trying to humanely reduce their numbers (as they are considered a nuisance). If there were 100 cats in the year 2012 and the rate of population change is given

by     [tex]-\frac{1}{4} t-2[/tex]

where t is measured in years, how many cats are projected to be in the group in 2020.

Answer:

The number of total cats left after 8 years T

[tex]T=76[/tex]

Step-by-step explanation:

From the question we are told that

Number of cats 2012 n=100

Number of years t=2012-2020=>8 years

Generally the equation of change in population is mathematically Given as

   [tex]\frac{dp}{dt}= -\frac{1}{4} t-2[/tex]

  [tex]\int dp=\int_0^8 (-\frac{1}{4} t-2)[/tex]

  [tex]p=\frac{-64}{8} -16[/tex]

   [tex]p=-24cats[/tex]

Therefore the number of total cats left after 8 years T is given as

[tex]T=100-24[/tex]

[tex]T=76[/tex]


Related Questions

Find the 5th term in the sequence described by 3n - 2. (1 point)
O 13
O 17
07
0-13

Answers

Answer:

It's 13

Step-by-step explanation:

the fifth term is n. do 3*5=15 and then subtract 2 to get 13!

Can someone help me?

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Answer:

with what

Step-by-step explanation:

dont see nothinfg

Answer:BD equals CE? Are lines parallel

Step-by-step explanation:

The equation 3x + 2 = 29 is modeled below.
Which is the first step in solving the equation for x?

Answers

Answer:

Subtract 2 from both sides.

Step-by-step explanation:

Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

> Also, note the equal sign, what you do to one side, you do to the other side of the equation.

First step is to subtract 2 from both sides of the equation:

3x + 2 (-2) = 29 (-2)

3x = 29 - 2

3x = 27

The second step is to divide 3 from both sides of the equation:

(3x)/3 = (27)/3

x = 27/3

x = 9

~

Answer:

The first step is subtracting the two on both sides.

Step-by-step explanation:

You arent exactly following PEMDAS in this equation, but you are still in a way. Before going on to x you need to go on to the numbers first. 3x would be equal to 27.

3.5" 12-11 9-10'8" Dt I Dt 7 LENGTH OF PIPE Det MATERIAL PI 8''PIPE STEEL SCH.40 FI 8''L.R.950 ELL B.W. F2 8 S.R.L - 13 A5 TEE А. В B С C D il 8 E RUN: 123/4" F G G Det a

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3.5" 12-11 9-10'8" Dt I Dt 7 LENGTH OF PIPE Det MATERIAL PI 8''PIPE STEEL SCH.40 FI 8''L.R.950 ELL B.W. F2 8 S.R.L - 13 A5 TEE А. В B С C D il 8 E RUN: 123/4" F G G Det a

whaaaaaaaaaaaaa?

Please help!!!!! will give you brainliest! im tyna pass math class

Jackson plans to go to the school fair. The price to get into the fair is $7.50, and each ride costs an additional 99 cents. If he can spend at most $35.00 at the fair, write an inequality that can be used to solve for r, the number of rides Jackson can go on, and what is the maximum number of rides he can go on?

Answers

Answer: $7.50 + .99 8.50

Step-by-step explanation: 8.50 x 4 = 34 and it is close to 35.

y=mx+b
What does mx stand for in the equation y=mx+b

Answers

mx stands for the slope

Find the point that lies on the line described by the equation below. y - 11 = 14(x - 2)

Answers

The answer is (-2,11)

Select all the expressions that have a value of 180 when b = 4. o 876 – 179 + 957 - 87 O 336 12 62 + 120 0 516 - 24 ( 115 + 187 – 2,756 - 13​

Answers

Answer: miata

Step-by-step explanation:

Simplify 1/8 - 1/9 x+3/4-2/3x

Answers

Answer:

7/8 - 7x/9

Step-by-step explanation:

;)

Substitute in a = 5 and b=-4 into the formula C = 3a + 2b. What is the value of C?

Answers

Answer:

Step-by-step explanation:

c=(3x5)=(2x-4)

c=15+-8

c=7

PLS MARK AS BRAINLIEST!

Answer:

-1

Step-by-step explanation:

3 times a which a is 5 it becomes 15 and

2 times b which b is -4 it becomes -16

so 3*5 + 2*(-4)=

15+(-16) and cause plus and minus gives you minus so

15-16= -1

usebthe elimination method to solve the following system of equations
4x+y=13
5x-y=5​

Answers

Answer:

x = -2, y = 21

Step-by-step explanation:

Let 4x + y = 13 to be equation1 {eqn1}

and let 5x - y = 5 to be equation2 {eqn2}

Using elimination method, you would try to make sure a particular unknown has the same value in both equation 1 and 2. This would make it easy for you to subtract one equation from the other.

Notice how the value of y is the same in both equations. That's a good sign.

But the signs aren't the same. Meaning y in eqn1 has a value of +1, and y in eqn2 has a value of -1. We need to make them similar.

So, we multiply the value of y in eqn1 by all the terms in eqn2. And, do pretty much the same thing by multiplying the value of y in eqn2 by all the terms in eqn1.

You would have:

-1 * (4x + y = 13)

+1 * (5x - y = 5)

This would result in;

-4x -  y = -13 (eqn3)

5x - y = 5 (eqn4)

So, just subtract eqn3 from 4

You would have;

(5x - -4x) + (-y -- y) = (-13 - 5)

9x + 0 = -18

x = -18/9 = -2

and to find y;

just substitute the value of x into any of the 4 equations. let's try equation 1

Therefore;

4(-2) + y = 13

-8 + y = 13

y = 13 + 8 = 21

Linda purchased 1½ pounds of potatoes on Friday and 2⅓ pounds of potatoes on Saturday. What was the total weight, in pounds, of potatoes purchased by Linda in the two-day period?

Answers

Listen Linda..... :) the answer is 3.83 when it is rounded to the nearest tenths.... I think -\(^_^)/-

Find the value. 0.54 x 102 =?​

Answers

Answer:

its 55.08

Step-by-step explanation:

Ur just multiplying the same thing when u multiply other numbers buts it's just different bcs of the decimal.

HELP NOW !! The gravitational force that an object of mass m, has with another object of mass , can be found using the formula
F=G
F = the magnitude of the gravitational force between the two objects
G= the gravitational constant
m = the mass of the first object
me the mass of the second object
-= the distance between the two objects
Draga term to each box to show the gravitational force equation when solving for me.
Gm
Fm
ma
G

Answers

Answer:

M₁=Fr²/GM₂

Step-by-step explanation:

The original formula is

F = GM₁M₂/r²

Rearrange it so M₁ is isolated:

Fr²=GM₁M₂

M₁=Fr²/GM₂

a+1.6=2.1
Can someone help me with this and can you also do the work to it that would be nice (:

Answers

Answer:

its 0.5

Step-by-step explanation:

just subtract 2.1 and 1.6

a = 0.5
You have to bring the +16 over to the other side of 2.1 and turn the positive sign (+) into a negative (-)ex: 2.1 - 1.6
Now you have to subtract 1.6 from 2.1
So write:
2.1 - 1.6
a = 0.5

The sum of all the solutions of the equation (6x+k)(3x-11)=0 is 1. Find K

BRANLIEST PLUS 20 POINTS

Answers

Answer:

16

Step-by-step explanation:

6x+k = 0

x = -k/6

3x-11 = 0

x = 11/3

-k/6 + 11/3 = 1

k - 22 = -6

k = 16

The value of k is "8".

Find K:

[tex](6x+k)(3x-11)=0\ \ is \ \ 1 \\\\K=?[/tex]

[tex]\to (6x+k)(3x-11)=0 \ \ is \ \ 1 \\\\\to (6x+k)=0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ (3x-11)=0\\\\\to 6x=-k\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x=11\\\\\to x=-\frac{k}{6}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=\frac{11}{3}\\\\[/tex]

[tex]\to - \frac{k}{6}+ \frac{11}{3}=1\\\\\to \frac{-2k+ 22}{6}=1\\\\\to -2k+ 22=6\\\\\to -2k =6-22\\\\\to -2k =-16\\\\\to k=\frac{16}{2}\\\\\to k=8[/tex]

Therefore, the final value of k is "8".

Learn more about the find k here:

brainly.com/question/20041760

Suppose that you have 10 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw
two cards without replacement.
G = the first card drawn is green
G2 = the second card drawn is green
a. P(G, and G2) -
b. P(At least 1 green)
C. P(G2G) -
d. Are G, and G2 independent?
They are independent events
They are dependent events
09

Answers

Answer:

Dependent

Step-by-step explanation:

because which ever coloured card you draw at first changes the probability of the second draw

Answer:

dependent

Step-by-step explanation:

the first card drawn

which is the best deal: a 14 ounce drink for $4.50 or a 12 ounce drink for $3.75?

Answers

Answer: 12 ounces for $3.75 is the better value

Step-by-step explanation:

The 12-ounce drink for $3.75 is the best deal as it has a lower cost per ounce compared to the 14-ounce drink for $4.50.

To find the best deal, we need to compare the cost per ounce for each drink.

For the 14-ounce drink:

Cost per ounce = $4.50 / 14 = $0.3214 (rounded to four decimal places)

For the 12-ounce drink:

Cost per ounce = $3.75 / 12 = $0.3125 (rounded to four decimal places)

Comparing the cost per ounce, the 12-ounce drink has a lower cost per ounce, making it the better deal.

So, the 12-ounce drink for $3.75 is the best deal.

To know more about ounce, refer here:

https://brainly.com/question/30189430

#SPJ2

HELP ME PLEASE!! PLEASE ANSWER AND EXPLAIN THANK U

Answers

i need points i am so sorry

Tina multiplies 46 times 23 2/3. Which statement is true about the product? Drag steps and expressions into place to explain and show how to evaluate a • b for a = 5 and b = 8.

Answers

Answer:

See solutions below

Step-by-step explanation:

The product of 46 and 23 2/3 is expressed as;

= 46×23 2/3

= 46 × 71/3

= (46×71)/3

= 3266/3

= 1088.67

Given a•b

If a = 5

b = 8

a•b =5•8

a•b = 40

In an arithmetic sequence, u1 = 1.3 , u2 = 1.4 and uk = 31.2.
7a. Find the exact value of Sk

Answers

basssssiiiiiicallly yhh

the product of 9 and the diffrence of 6 and 4 into a numerical expression

Answers

Answer:

9(6 - 4)

Step-by-step explanation:

9(6 - 4)

9 x 2 = 18

18 is your answer to the expression

hope this helps

hope this is right

Kris and Nathan put a down payment of 20% on the purchase of their house, and then financed

$150,000. What was the purchase price of the house

Answers

Answer: $187,500

Step-by-step explanation:

Let x = Purchasing price of house.

Given: Down payment = 20% of x

= 0.20x  [20% = 0.20]

The amount financed = Purchasing price - Down payment

= x-0.20x

=(1-0.20)x

= 0.80x

As per given,

[tex]0.80x=150000\\\\\Rightarrow x=\dfrac{150000}{0.8}\\\\\Rightarrow\ x=\dfrac{1500000}{8}\\\\\Rightarrow\ x=187500[/tex]

Hence, the purchase price of the house =$187,500


What is the slope of the line?

Answers

the slope of the line = 1/2

How many 3/8 are in 5/4

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Answer:20

Step-by-step explanation:

HHEEEEEEEELLLLPPPPPPPP 11 POINTS

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The answer is C........

The area of a rectangular wall of a barn is 132 square feet. Its length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.

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Width: 7 feet
Length: 24 feet

Which expression is the same as (2 x 7) x 3 ?

Answers

Answer:

[tex]42x^{2}[/tex]

Hannah has 10 puzzle magazines what percentage of Hannas magazines are word search magazines?

Answers

Step-by-step explanation:

Can you tell us how many word search magazines there are? Thank you,

Simplify.

3.4 × 42 + 6 ÷ 3 - (5.7 + 2.1)
A.
53.4
B.
58.6
C.
48.6
D.
60.2

Answers

Answer:

need help ....................

Answer:

I got 137 so I don't know what the answer is

Step-by-step explanation:

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