Rabbits can exhibit a number of colors in their coats: black, white, tan, brown, red, and grey. A disease randomly kills off most of the population and leaves only black and grey rabbits. Future generations are only black or grey. What is the term used to describe this phenomenon

If -3 + i is a root of the polynomial function f(x), -3 - i must also be a root of f(x)

The root of the polynomial function is given as:

-3 + i

The above root is a complex root.

If a polynomial has a complex root, then the conjugate of the root is also a root of the function

The conjugate of -3 + i is -3 - i

Hence, if -3 + i is a root of the polynomial function f(x), -3 - i must also be a root of f(x)

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Answer:

A on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use some points on the graph:

The graph is a line passing through the origin, so this is a proportional relationship.

Standard form of such relationship is

Using one of the coordinate pairs find the value of k

This is indicating the number of baloons filled per hour is 30.

Answer:

6.75[tex]\pi[/tex] or 21.2

Step-by-step explanation:

Find the area of the small circle using [tex]\pi r^{2}[/tex]

Plug in 1.5 for r to get 2.25[tex]\pi[/tex]

Find the area of the big circle using [tex]\pi r^{2}[/tex]

Plug in 3 for r to get 9[tex]\pi[/tex]

Subtract the area of the small circle from the big circle to get 6.75[tex]\pi[/tex] or 21.2

Answer:

2. 8³ - 14 × 6² - 2

4. |-6|

5. 7² - 3.1 - 19 × 2.1

Step-by-step explanation:

To find the expressions, find the solution of the given equation, then solve for each answer choice to see if the soultions match. If they do, then the expressions are equivalent.

2² - 3³ + 29

4 - 27 + 29 = 6

6 is the value were looking for.

1. (78 ÷ 3) - [tex]2^{4}[/tex]

(78 ÷ 3) - 16

26 - 16

= 10

not equal

2. 8³ - 14 × 6² - 2

512 - 14 × 36 - 2

512 - 504 - 2

= 6

equal

3. -|-6|

= -6

not equal

4. |-6|

= 6

equal

5. 7² - 3.1 - 19 · 2.1

49 - 3.1 - 19 · 2.1

49 - 3.1 - 39.9

45.9 - 39.9

= 6

equal

Hence, choices 2, 4, and 5 have a value of 2² - 3³ + 29.

hope this helps!

Answer:

x=110lbs and y=120lbs

Step-by-step explanation:

[tex]Solution,\\\\x+y=230lbs\\\\[/tex]

When the weight of x is 10lbs less than y,

Then,

[tex]x=y-10lbs[/tex]

Now we have,

[tex]\hookrightarrow x+y=230lbs\\\\\hookrightarrow (y-10lbs)+y=230lbs\\\\\hookrightarrow 2y-10lbs=230lbs\\\\\hookrightarrow 2y=230lbs+10lbs\\\\\hookrightarrow 2y=240lbs\\\\\hookrightarrow y=240lbs/2\\\\\hookrightarrow y=120lbs[/tex]

Again,

As x=y-10lbs

Then,

[tex]\hookrightarrow x=y-10lbs\\\\\hookrightarrow x=120lbs-10lbs\\\\\hookrightarrow x=110lbs[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The inequality that express the relationship between -2 and -5 is : " greater than " or " > "

[tex]\qquad \tt \dashrightarrow \: - 2 > - 5[/tex]

Answer:
Don spent 30 more minutes on his math homework than reading homework.

Step-by-step explanation:

55 - 25 = 30

Answer: a lower credit score

Step-by-step explanation:

Answer:

Step-by-step explanation:

lower crdit score

[tex]\dfrac{3x^2-10x-8}{x^2-x-12}\\\\\\=\dfrac{3x^2-12x+2x-8}{x^2 -4x +3 x -12}\\\\\\=\dfrac{3x(x-4)+2(x-4)}{x(x-4)+3(x-4)}\\\\\\=\dfrac{(x-4)(3x+2)}{(x-4)(x+3)}\\\\\\=\dfrac{3x+2}{x+3}[/tex]

Answer:

redonculus preshambles.

Step-by-step explanation:

E E E E E E E E E E E E E E EE E E E E E E E E E E E E E E E E E E

Answer:

[tex]y = \frac{-2}{3}[/tex]

Step-by-step explanation:

[tex]f(x)=-1[/tex], means thsat you replace all the x with -1. Then after you replace it you simplify the fraction.

[tex]f(x)=-1[/tex]

Equation: [tex]f(x) = \frac{x-1}{3}[/tex]

Steps:

1. [tex]f(-1)= \frac{(-1)-1}{3}[/tex]

2. [tex]f(-1)= \frac{-2}{3}[/tex]

Answer:

[tex]f(-1)= \frac{-2}{3}[/tex]

Answer:y=-2/3

Step-by-step explanation:

From factoring, the volume of a rectangular prism can be written as:

3x * (2x+1) * (3x-2).

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

The question gives: 18x³-3x²-6x. You can see that, initially, 3x is a common term. Therefore, you can write: 3x * (6x²-x-6) . Nonetheless, the question also asks 3 linear expressions, here only you have one (3x).

Thus, you should factor the expression (6x²-x-6) into two linear expressions: (2x+1)* ( 3x-2).

Thus, the volume of a rectangular prism can be written as:

3x * (2x+1) * (3x-2)

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Answer:

only once

Step-by-step explanation:

Ok look at it this way there's 8 people and you need 6 you take 6 you will have 2 left so there is only 1 way to to select a volleyball team of 6 out of 8 people

Answer:

Step-by-step explanation:

To find how many it is greater, divide the size of the largest email by the smallest email and both should in bytes. So, convert megabytes and kilo bytes to bytes.

4 kilo bytes = 4* 10³ bytes

8 megabytes = 8 * 10⁶ bytes

[tex]\sf \dfrac{8*10^6}{4*10^3}= 2 *10^{(6-3)}[/tex]

           [tex]= 2*10^{3}\\\\= 2*1000\\\\= 2000[/tex]

Hint:

[tex]\boxed{\dfrac{a^{m}}{a^n}=a^{m-n}}[/tex]

Answer:

For 36 hours, that would be 792 quarts. The unit rate is 528 quarts per day.

Step-by-step explanation:

If you divide 36 by 10, you get 3.6, and then you multiply that with 220. That gets you 792 quarts for 36 hours. To find out the rate per day, do 24 divided by 10, and then multiply that by 220.

[tex]z=110[/tex][tex]A[/tex]

is your final answer. Pls makr me brainiest

The value of y is 3 units.

This characteristic is referred to as resemblance or comparable figures when two or more items or figures appear to be the same or equal based on their shapes. These figures always superimpose one another regardless of how they are magnified or diminished. When two shapes, such triangles, polygons, or quadrilaterals, have the same dimension or common ratio but a different size or length, they are referred to as comparable figures in geometry.

Given quadrilateral's are similar

ABCD ≈ EFGH

for similarity the angles of both figures are equal and ratio of length of their sides are equal,

so AB/EF = BC/FG = CD/GH = DA/HE

we have AB = 3, EF = 2

CD = 4.5 and GH = y

substitute the values

3/2 = 4.5 /y

y = (4.5 x2)/3

y = 3 units.

Hence the measure of y is 3 units.

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The height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.

Correlation coefficient is used to calculate how strong the relationship is between the two variables.

When there is a statistical relationship between two or more variables, then they are said to be in correlation.

The table represents the distance and height for softball travels after being hit by the batter.

The mean of the data of distance is 5 and the mean of the data of height is 28.167. The correlation coefficient is 0.9938.

The quadratic regression model for this model is given as,

[tex]y=5.29+11.78x-0.98x^2[/tex]

At the 12 feet, the value of height y is,

[tex]y=5.29+11.78(12)-0.98(12)^2\\y=5.53[/tex]

Hence, the height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.

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Answer:

Neptune is 4.495 billion far from the sun and mars is 227.9 million km

the anwer is 4.2671 i guess

Answer: A

Step-by-step explanation:

Answer: Please see the analysis in the picture

Answer:

Could I have more info please? It would be great if there was a graph or some extra description of the problem. I can then write the answer and explanation in the comments. Thanks!

Answer:

1.5 hours

Step-by-step explanation:

80 /120= 100/x

80x=12000

12000/80=150

150 minutes- 1.5 hours

Answer:

Around 2 hours and 50 minutes.

Solve

If Jamie can read an 80 page book in 2 hours, divide 100 by the time, 2 hours.

[tex]100 / 2 = 50[/tex]

Add that to the time, 2 hours.

[tex]= 2~hrs.~50~mins.[/tex]

Answer:

red ---- 77 degrees

Step-by-step explanation:

The answers to your questions are as we have them below:

a.   s ( 2 burgers + 1soda )

b.  s ( $16.00 + $2.50) ≤ $100

c. The maximum number of sodas that can be purchased is 5.40 sodas

An algebraic expression is an expression containing integer constants, variables and algebraic operations

Detailed solution of the above is given below:

One Burger costs $8.00

One soda costs $2.50

Combined = s (2burgers + 1soda)

where s is the number of persons ordering.

a.   s ( 2 * $8.00 + $2.50 )

     s ( $16.00 + $2.50) = s($18.50) assuming that the hotdogs will be the total amount to be spent

b. if the cant spend more than a $100 gift card, the inequality will be

 s ( $16.00 + $2.50) ≤ $100

 s($18.50)   ≤ $100

 s ≤ [tex]\frac{100}{18.50}[/tex] = 5.40

Therefore the number of burgers and soda they can buy is

5.40 (2burgers + 1soda) = 10.80 burgers and 5.40sodas

c.  s ( $16.00 + $2.50) ≤ $100

 s($18.50)   ≤ $100

 s ≤ [tex]\frac{100}{18.50}[/tex] = 5.40

The maximum number of sodas that can be purchased is 5.40 sodas

In conclusion, the algebraic expression for the orders you and your friends will make combined is:  s ( 2 burgers + 1soda )

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Answer:

-32

Step-by-step explanation:

7^2 = 49

3^4 = 81

49-81=

-32

The vertex form of the provided equation  y = (x 3)2 (x 4)2 is expressed as  (x+3.5)²+0.5.

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

y=a(x-h)^2+k

Here, (h, k) is the vertex point.

The given equation is

[tex]y = (x +3)^2 +(x+ 4)^2\\y=x^2+9+6x+x^2+16+8x\\y=2x^2+14x+25[/tex]

To convert this equation, into the vertex form, follow the following steps,

[tex]y=2(x^2+7x+12.5)\\y=2((x+3.5)^2-12.25+12.5)\\y=(x+3.5)^2+0.5[/tex]

Thus, the vertex form of the provided equation  y = (x 3)2 (x 4)2 is expressed as  (x+3.5)²+0.5.

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