Technology required. A function f gives the number of stray cats in a town t years since the town started an animal control program. The program includes both sterilizing stray cats and finding homes to adopt them. An equation representing fis f(t) = 243()': a. What is the value of f (t) when t is 0?​

Technology Required. A Function F Gives The Number Of Stray Cats In A Town T Years Since The Town Started

Answers

Answer 1

The number of stray cats in the town in t=0 years will be 243.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The given function is:-

[tex]f(t) = 243(\dfrac{1}{3})^t[/tex]

f(t) is representing the number of the stray cats in t years so in t=0 years the number of the cats will be:-

[tex]f(t) = 243(\dfrac{1}{3})^0= 243[/tex]

f(t) = 243 cats

It states that initially at t=0 years there were 243 cats in the town.

Therefore the number of stray cats in the town in t=0 years will be 243.

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Related Questions

Troy wants to join Universal Gym. The gym charges a one-time membership fee of $50 and $24.50 per month. Write a function that represents this situation.

a. f(m) = 50m + 24.50
b. f(m) = 50 + 24.50m
c. f(m) = 50m + 24.50m
d. (m) = 50 + 24.50

Answers

Answer: B

Step-by-step explanation:

B is the correct one because the $50 is one time payment and the $24.50 gets charged every month

I think my answer is correct? Not so sure though haha

Can Someone please help me with my math

Answers

Answer: option 2 which is 1.825*10^-7

Step-by-step explanation:


Fill in the Activity Log correctly
using the following
information.
Joey performed exercise and the following information needs to be logged in the log: He did a vigorous combination of
cardiovascular exercise and muscular exercise in the form of kickboxing for 20 minutes, and then he ended with a 10-
minute cool-down. He started with a 5-minute warm-up. He did these activities on 3/2/10.
Date: Warm-up: Cool-down:
Type of
Description of
Activity and Time
Activity:
(Cardiovascular,
Intensity Total
Level Time
(Moderate,
or
Muscular, or
Flexibility)
Vigorous)
march 2,2010 5 minutes 10 minutes
NEXT QUESTION
ASK FOR HELP
TURN IT IN

Answers

Answer:

The activity log can be filled up for any kind of activity including physical activity like exercise.

Step-by-step explanation:

Warmed up for 5 minutes.

Ran for 15 minutes across the street.

Sat to cool down for about 6 minutes.  

A taxi charges an airport pickup fee of $3 plus $1.50 for each mile traveled. If a taxi ride cost John $36, how many miles did John travel in the taxi?

31 miles
21 miles
22 miles
32 miles

Answers

Answer:

Step-by-step explanation:

36-3=33

33 divided by 1.5 equals 22

answer is 22 miles

Answer:

Step-by-step explanation:

1.5x + 3 = 36

1.5x = 33

x = 22 miles

Lacey had $603 in her checking account. Then, she spent $252 from the account. How much money is left in Lacey's checking account?

Answers

Answer:

In this problem we are given the initial amount of money that Lacey has in her account and we are also given the amount of money that she has spent using that account.  We are told to check how much money is left in her account and we can do this with a simple subtraction.

[tex]Initial\ Amount - Money\ Spent[/tex]

[tex]\$603-\$252[/tex]

[tex]\$351[/tex]

Therefore, our final answer is that Lacey has $351 left in her account.

Hope this helps!  Let me know if you have any questions

Can someone help me with this one math problem?
Convert 32.8% to a fraction in simplest form and a decimal.

Answers

Answer:

Step-by-step explanation:

32.8 = 164/5

= 32/4/5

as a fraction

To convert the decimal 32.8 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

32.8 = 32.8/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

32.8

1

= (32.8 × 10)

(1 × 10)

= 328/10

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(328,10) = 2. So,

(328÷2)

(10÷2)

= 164/5

when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 328/ 10

is also equal to 32/4 /5

when expressed as a mixed number.

What is
-7+13+8X -2
Please help meee step by step

Answers

Answer:

-1/2 = x
OR
-0.5 = x

Step-by-step explanation:

1) Isolate x from the equation by making it equal to zero
(Reminder that everything crossing over to the other side of the equation changes it's symbols from positive to negative, and vice-versa is the original symbol was negative)

-7 + 13 + 8x - 2 = 0
-7 + 13 - 2 = -8x

2) Add up common terms on the left side

-9 + 13 = -8x
4 = -8x

3) Divide the entire equation by the number that would leave "x" by itself the factor or number that leaves the number by itself is negative eight since its the number with the equation (-8)

4/-8 = -8x/-8
-1/2 = x
OR
-0.5 = x

Hope this helps :)
Also, if you can is it ok if you can give me brainliest on this?

can someone do this for me please?! Just the answer pls

Answers

Answer:

1 is d

the square root of 36 = 6 which is the only equation with 36

2 is d

Which of the following statements could be translated to the equation n - 5 = -2?

- A number less than five equals negative two.
- The difference between a number and five is negative two.
- If five is subtracted from a number, the result is two.
- Five less a number is equal to two.

please send help :')

Answers

Answer:

Answer would be B

Step-by-step explanation:

First, A doesnt make sense, since it isn't a ineqality.

C doesnt make sense because if 5 is subtracted form a number n, it is -2, not 2.

D doesnt work because 5 less a number (-5) is not 2, it is -2.

So B works, because the difference between n and 5 (n-5) is -2.

Which describes the association between the number of DVDs sold and the number of DVDs rented?​

Answers

The integer representing the change in the number of DVDs sold is -10000.

What is a change in number?

Given, The number of DVDs shipped to an online retailer was 10,000 less than the previous year.  

We have to Use an integer to describe the change in the number of DVDs sold.

Now, let the number of DVDs shipped to an online retailer in the previous year be x.

Then, according to the given information, DVDs shipped to the online retailer this year will become x – 10000

So, now, the change in the number of DVDs sold = DVDs sold this year – DVDs sold last year

= x – 10000 – x

= 0 – 10000

= - 10000

Hence, the integer representing the change in the number of DVDs sold is -10000.

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Hi please help ASAP
Amos is painting his pots. He needs one forth of a liter to paint all four pots.
How much paint will he need for each of his 4 pots if he uses the same amount of paint on each?

Answers

Answer:

he would use 1/16 of a liter or 2.11 oz

Step-by-step explanation:

so i took 1/4 and divided up into 4 which is 1/16 and then i took 1/4 liter and divded that up into 4 to get 2.11 oz

3M+4/3=28/3-M.find the m

Answers

Answer:

M = 2

Step-by-step explanation:

3M+4/3 = 28/3 -M

3M+M +4/3-28/3 = 0

4M -8 = 0

4M = 8 ( divide 4 in both sides)

M=8/4

M=2

Help me on this pls.

Answers

Answer:

f - 65 pages per hour

Step-by-step explanation:

420 - 160 = 260

6 - 2 = 4

260 divided by 4 is 65 on average per hour

Answer:

F. 65.

Step-by-step explanation:

The number of pages he has left to read = 420 - 160

= 260.

So mean number per hour 260/4

= 65.

if a card is drawn at random from a deck of 52 cards, and then a fair coin is flipped, what are the total number of possible outcomes?

Answers

There are 104 outcomes

Considering that you are only drawing one card, the total outcome would remain at 52. However, because the coin has two sides, we must multiply 52 by 2 to get 104

PLS HALP!!!
NEED TO SUBMIT IN LESS THAN 30 MINS! >.

Answers

Answer:

y int = -12

vertex = (-4,4)

Axis of Symmetry = x = -4

It has a Maximum

Opens up

Step-by-step explanation:

3

————


i need help!!



math geniuses pls help me!


—-

—————

Answers

Answer:

the answer is A. sorry for dirty handwriting

8 = 3a – 4
what is the anser

Answers

Answer:

a=4

Step-by-step explanation:

what minus 4=8? its 12. 12-4=8 so

what times 3 is 12? 4.

3*4=12

12-4=8

a=4

A = 4 Is the answer 8 + 4 = 3a - 4 + 4

Which function has a domain of all real numbers?


Answers

Answer:

D

Step-by-step explanation:

[tex]( {2 x})^{ \frac{1}{3} } - 7 = \sqrt[3]{2x} - 7[/tex]

Mickey tosses a coin 50 times and records 27 heads. Based on these results, what is the probability if
Mickey tosses the same coin three more times, she will get three tails?
a) 112,833: 125,000
b) 23:50
c) 69:50
d) 12,167: 125,000

Answers

The probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

What is probability of an event?

It is the ratio in an event of the number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus, he probability of failure of a event is equal to the difference of the 1 to the success of the event.

Mickey tosses a coin 50 times and records 27 heads. Thus, the probability of getting a head is,

[tex]P=\dfrac{27}{50}\\[/tex]

The probability of not getting a head or getting a tail is,

[tex]P^{-1}=1-\dfrac{27}{50}\\P^{-1}=\dfrac{50-27}{50}\\P^{-1}=\dfrac{23}{50}[/tex]

Now, Mickey tosses the same coin three more times. The probability of getting three tails in these tosses are,

[tex]P_{3t}=\dfrac{23}{50}\times\dfrac{23}{50}\times\dfrac{23}{50}\\P_{3t}=\dfrac{12167}{125000}[/tex]

Thus, the probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

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Two Truths and a Lie: Remember, the function has a maximum and an axis of symmetry at x = 2. Two of the following functions could represent this scenario while one cannot. Determine which two could represent the scenario and which one cannot. Explain how you know and show all necessary work to support your reasoning. a) f(x) = −x 2 + 4x + 2 b) g(x) = −(x + 2) 2 − 5 c) h(x) = −2(x − 1)(x − 3)

Answers

The functions f(x) and h(x) have an axis of symmetry of x = 2 and a maximum

How to determine the function?

The functions are given as:

f(x) = -x² + 4x + 2g(x) = -(x + 2)² - 5h(x) = -2(x − 1)(x − 3)

A quadratic function can be represented as:

y = ax² + bx + c

y = a(x - h)² + k

In both cases, when a < 0; the function has a maximum.

This means that all three functions have a maximum.

Next, we determine the axis of symmetry:

In y = ax² + bx + c, the axis of symmetry is x = -b/2aIn y = a(x - h)² + k, the axis of symmetry is x = h

Using the above forms, we have:

f(x) = -x² + 4x + 2

Axis of symmetry, x = -4/(2 * -1)

x = 2

g(x) = -(x + 2)² - 5

Axis of symmetry, x = -2

h(x) = -2(x − 1)(x − 3)

Expand

h(x) = -2x² - 8x + 8

Axis of symmetry, x = -8/(2 * -2)

x = 2

This means that f(x) and h(x) have an axis of symmetry of x = 2

Hence, the functions f(x) and h(x) have an axis of symmetry of x = 2 and a maximum

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can anyone solve this step by step
[tex] - 6 \sqrt{243m {}^{4} } n {}^{5} p {}^{2} [/tex]

Answers

Answer:

[tex]-54m^{2} n^{2} p \sqrt{3n}[/tex]

Step-by-step explanation:

solved it using a software. check attachment for all the steps

what is the area of a heptagon with an apothem of 15.5 and side length of 15

Answers

Answer:

813.75

Step-by-step explanation:

area of a regular polygon = side length × # of sides × apothem × 1/2

here side length = 15 , # of sides = 7 ( a heptagon has 7 sides ) and apothem = 15.5

so area = 15 × 7 × 15.5 × 1/2

==> multiply 15 by 7 by 15.5

area = 1627.5 × 1/2

==> divide 1627.5 by 2

area = 813.75

Helpppp meeeeee pleaseeeee

Answers

Answer:

C. 54 tens

Step-by-step explanation:

54×10=540

54tens=540

Answer:

54 tens

Step-by-step explanation:

This is like regular multiplication, sort of.

54 x 10= 540

540=54

The diameter of the circle is 5 inches, the circumference is 15.70 inches, and the area is 19.625 square inches.

Use the formula for area and solve for the value of pi for the circle.

Answers

Answer:

it is approximately 19.63.

Step-by-step explanation:

Area= pi r^2

Solve and graph the inequality.
6 + x > 15

Answers

Answer:

x > 9

The graph is a half-plane. (All the points with their abscissa (their value on the x-axis) greater than 9

Step-by-step explanation:

6 +x > 15

x > 15 - 6

x > 9

Answer:

X>9

Step-by-step explanation:

the other guy has the graph

median and the data 11 , 17 , 7 , 4 , 15 , 9

Answers

Answer:

10.

Step-by-step explanation:

median means the "middle" number in a set of numbers.

(I always the meaning of median by remembering "middle" because they rhyme).

NOTE: to find the median of a set of numbers you have to arrange that set of numbers in either ascending order (smallest to biggest value) or descending order (biggest to smallest value) .

sooo....

we were given :

11, 17, 7, 4, 15, 19

let's arrange in ascending order

4, 7, 11, 15, 17 , 19

now you can cancel them out ( cancel left number, right number)

i mean....

cancel out 4, cancel out 19

cancel out 7, cancel out 17

and we are left with 2 numbers which are11 and 15.

NOTE; (when you have two numbers or values remaining instead of one number, add those two numbers and divide by 2).

soooo...

11 + 15 = 20

20/2 = 10

median of the set of numbers is equal to 10.

Hope this helps.

Good luck ✅.

In a card game, Alex has 2 diamonds 3 spades 4 clubs, and 1 heart. Without being able to see the cards wes is going to pick one of Alex's cards. What is the probability that wes will pick spade or a club

Answers

Answer:

4/10 or 40% chance he picks a spade and 3/10 or 30% he picks a club so in total he would have a 7/10 chance or 70% chance of getting spade or club

Step-by-step explanation:

The probability that Wes will pick a spade or a club from Alex's cards is 0.7 or 70%.

To find the probability that Wes will pick a spade or a club from Alex's cards, we need to determine the total number of spades and clubs in Alex's hand and divide it by the total number of cards.

Total number of spades = 3

Total number of clubs = 4

Total number of cards = 2 (diamonds) + 3 (spades) + 4 (clubs) + 1 (heart) = 10

Therefore, the probability that Wes will pick a spade or a club is:

(Picking spade or club) = (Total number of spades + Total number of clubs) / Total number of cards

= (3 + 4) / 10

= 7 / 10

= 0.7

So, the probability that Wes will pick a spade or a club from Alex's cards is 0.7 or 70%.

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How do I find out the median of this set of numbers?
138, 119, 182, 174, 142, 117, 152, 152

Answers

Add up all the numbers and divide by the amount of numbers
117 + 119 + 138 + 142 + 152 + 152 + 174 + 182 = 1176 : 8 = 147

What is the answer to number 2 on this sheet?

Answers

Answer:

J

Step-by-step explanation:

Use the Volume formula for cylinders first.

V=πr^2•h.

Radius=Diameter/2

R=5.

Plug it in.

V=π5^2•36

V=2,826.

Multiply the rest of the answers out to see what matches.

J.) 78.5•36=2,826

What is the perimeter of a triangle whose sides are 3.8 cm. 4.7 cm and 5.6 cm!​

Answers

Answer:

Step-by-step explanation:

Easy, add up all the numbers. 3.8+4.7+5.6  which is 14.1!
Finding the area is the same thing, x*x, but dividing it all by two, (x*y)/2

Answer:

14.1 cm

Step-by-step explanation:

Perimeter : sum of the sides

3.8 + 4.7 + 5.68.5 + 5.6 14.1 cm
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