Yolanda owns 4 rabbits. She expects the number of rabbits to double every year.Write an equation to model this situation.

Answers

Answer 1

Answer: R=Number of rabbits

y=Years that have passed by { y ≥ 0 }

R=f(y) --> R is a function of y.
---------------------------------------------

Note that when:

y=0, R=4 ---> Point: (0, 4)

y=1, R=8 ---> Point (1, 8)

y=2, R=16 ---> Point (2, 16)

y=3, R=32 ---> Point (3, 32)

y=4, R=64 ---> Point (4, 64)

--------------------------------------------

So the equation you want is going to form a curved graph.

That equation is:

$R={ 2 }^( y+2 )$

*You can test out this function on any decent graphing software.

Answer 2

Answer: This is an exponential function.

At year $x$ , the number of rabbits would be as follows:

$y=4e ^((x*(In2)))$

Where x is the number of years

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The candle was 10 inches long when new. Each half hour 3/4 inch of the candle burned away. After 4 hours, how long was the candle?

Which data set is the most spread from its mean? 26,6, 20,36 or 28 ,15, 30, 15 or 49, 17, 4, 18 or 14, 20, 24, 30?

Answers

Answer:

C has the highest range..

Therefore the answer is C. 49, 17, 4, 18....

Step-by-step explanation:

We have given 4 data sets:

Notice that the mean of all the data set is 88

Now to find that which data set is the most spread from its mean we have to find the Range of each set.

We can find the range by subtracting lowest value from the highest value of the data set

Range of set A = Highest value - Lowest value

Highest value of set A is 36

Lowest value of set A is 6

Therefore,

Range of set A = 36-6

Range of set A = 30

Range of set B = Highest value - Lowest value

Highest value of set B is 30

Lowest value of set B is 15

Therefore,

Range of set B = 30-15

Range of set B = 15

Range of set C = Highest value - Lowest value

Highest value of set C is 49

Lowest value of set C is 4

Therefore,

Range of set C = 49-4

Range of set C = 45

Range of set D = Highest value - Lowest value

Highest value of set D is 30

Lowest value of set D is 14

Therefore,

Range of set D = 30-14

Range of set D = 16

Hence C has the highest range..

Therefore the answer is C. 49, 17, 4, 18....

Answer:

C is the answer

Step-by-step explanation:

I just took the test on E2020

Write the general equation for the circle that passes through the points: (0, 0)
(6, 0)
(0, - 8)
You must include the appropriate sign (+ or -) in your answer. Do not use spaces in your answer.
x^2 + y^2 ____ x ____ y = 0

Please Help!

Answers

Answer:

$x^(2) + y^(2) -6x+8y= 0$

Step-by-step explanation:

The general equation of the circle is of the form:

$x^(2) + y^(2) +2gx+2fy + c= 0$

The circle passes through the point (0,0), this means replacing x = 0 and y = 0 must satisfy the equation Using these values, we get:

$0^(2) +0^(2)+2g(0)+2f(0)+c=0\nc=0$

This means value of c is zero for the given circle. So, now the equation of the circle is:

$x^(2) + y^(2) +2gx+2fy= 0$

Now using the point, (6, 0) in this equation, we get:

$6^(2)+ 0^(2)+2g(6)+2f(0)=0\n36+12g=0\n36=-12g\ng=-3$

Hence the value of g is -3, using the value of g and c in our equation, the equation becomes:

$x^(2) + y^(2) -6x+2fy= 0$

Now using the 3rd point (0, -8) in this equation to find the value of f:

$0^(2)+ (-8)^(2)-6(0)+2f(-8)=0\n64-16f=0\n64=16f\nf=4$

Using the value of g, f and c, the final equation of the circle is:

$x^(2) + y^(2) -6x+8y= 0$

You studied for 14 hours last week. What was your unit rate of hours of study per day?

Answers

The unit rate of hours is 2 per day.

There are 7 days in a week. You studied for 14 hours total. 14/7 is 2. So, 2hr/day.

What is 40/100 as a decimal

Answers

Hi there!

To solve this is pretty simple - To put this into a decimal, we divide the numerator by the denominator. But first, I like to simplify this down to its simplest form.

It would be 4/10.

4 ÷ 10 = 0.4

There's your decimal answer! 0.4!

If you wanted to make this into a fraction, however, you would multiply your decimal by 100 to make 40%.

Hope this helps! :D

The fraction A = 40/100 as a decimal number is A = 0.4

Given data ,

Let the decimal number be represented as A

Now , the value of the fractional number is A = 40/100

On simplifying the fraction as a percentage value , we get

A = 40 %

And , expressing 40/100 as a decimal, divide the numerator (40) by the denominator (100)

So , the value of A is

A = 40 / 100

A = 4/10

A = 0.4

Therefore , the value of A is 0.4

Hence , the decimal number is A = 0.4

To learn more about fractions click :

brainly.com/question/29766013

#SPJ6

3 pens cost $15. What will 30 pens cost?

Answers

Answer=$150

3 30
___=_____
15 x

cross multiply
3x=450
divide both sides by 3
x=$150

If 3 pens cost $15, then we can assume that one pen is $5. If we have 30 pens, multiply $5 by 30 to get a total of $150.

Runners race around a rectangular park during the city marathon. The length of the park is 6 miles. The width of the park is 7 miles. Which is the correct unit of measurement to use when figuring out how many miles someone would run during the marathon? A. miles3 B. miles C. miles2

Answers

Answer=B

The question asks us to the miles someone would run during the marathon. Since, the marathon goes around the park, the question is asking for the perimeter of the rectangular park. The perimeter for a rectangle is:

P=2(l+w)
P=2l+2w

The ending unit of measurement would be miles.

P=2(6+7)
P=2(13)
P=26 miles

Answer:

it is b because i did i quzi

Step-by-step explanation:

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Help pleasee!_________________________________________________________________________