what the median of 17, 24, 8, 19, 6, 34, 10, 28, 48, 12
​

Answer:

It will take approximately 68.2 years for the Caribou population to reach 21,000.

Step-by-step explanation:

The population P of Caribou in the Yukon is modeled by P=6x²-120x+1250 where x is the number of years from today.

If the population P of Caribou in the Yukon is 21000, then, replacing you get:

21000= 6x²-120x+1250

So:

0= 6x²-120x+1250 -21000

0= 6x²-120x - 19750

This is a quadratic function of the form: 0= ax²+ bx +c, where: a=6, b= -120 and c=-19750

To solve a quadratic function and determine the value of x you can use the expression:

[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

Replacing the values ​​of a, b and c and solving you get:

[tex]x1,x2=\frac{-(-120)+-\sqrt{(-120)^{2}-4*6*(-19750) } }{2*6}[/tex]

[tex]x1,x2=\frac{120+-\sqrt{14400+474000 } }{12}[/tex]

[tex]x1,x2=\frac{120+-\sqrt{488400 } }{12}[/tex]

[tex]x1,x2=\frac{120+-698.86 }{12}[/tex]

So:

[tex]x1=\frac{120+698.86 }{12}[/tex]

x1= 68.24 ≅ 68.2

and

[tex]x2=\frac{120-698.86 }{12}[/tex]

x2= -48. 24 ≅ -48.2

As time cannot be negative, it will take approximately 68.2 years for the Caribou population to reach 21,000.

Answer:

are you dead?

Step-by-step explanation:

Answer:

Step-by-step explanation:

g(x) =(1/4 x)²

g(x)  = 4x² will be the equation of the parabola.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given, two parabolas f(x) and g(x),

From the general equation of the parabola,

y = a(x – h)² + k or x = a(y – k)² +h.

Here (h, k) denotes the vertex.

As we can see in our case, the vertex is (0, 0)

Thus, the equation of the parabola will be

y = ax²

Since the given parabola passes through the point (1, 4)

Substitute the values,

4 = a(1)²

a = 4

therefore, the equation of the parabola g(x) will be,

g(x)  = 4x²

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Answer:

135degrees

Step-by-step explanation:

Find the diagram attached.

Note that in a cyclic quadrilateral, the sum of the opposite side of the quadrilateral is 180degrres.

According to the diagram shown:

<D+<I = 180

<D+45 = 180

Subtract 45 from both sides

<D+45-45 = 180-45

<D = 180-45

<D= 135°

Hence the measure of <D is 135degrees

Answer: 135

Step-by-step explanation: khan academy

answer:number of cupcakes sold is 13  Number of cookies sold is 27  

Step-by-step explanation:

Let x represent the number of cupcakes that Victor sold.  Let y represent the number of cookies that Jane sold.  Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day,  This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13

An equation is formed when two equal expressions. The number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of cupcakes sold be represented by x, while the number of cookies sold is represented by y.

Now, the total number of cupcakes and cookies sold combined is equal to 68. Therefore, the equation can be written as

x + y = 68

x = 68 - y

Also, Each cupcake sold for $2.25 and each cookie sold for $0.50. And the total sale that Victor made is of $95.25. Therefore, the equation can be written as,

2.25x + 0.50y = 95.25

2.25(68 - y) + 0.5y = 95.25

153 - 2.25y + 0.5y = 95.25

-2.25y + 0.5y = 95.25 - 153

1.75y = 57.75

y = 33

Now, substitute the value of x in the first equation.

x + y = 68

x + 33 = 68

x = 35

Hence, the number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.

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Answer:

b

Step-by-step explanation:

Answer:

supplementary means angles that add up to 180°

one angle = 155°

other angle = 180° - 155° = 25°

A) 25°

hope this answer helps you......

Answer: 3

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The key of this leaf stem-leaf plot is:

4 | 5 = 45

Therefore, the data points that represents children with weight that is less than 50 pounds would be as follows:

First row => 12, 13, 15, 15 15, 16, 16, 19

Second row => 23, 25

Third row => 33, 35, 37, 38, 39

Fourth row => 44, 45, 45

Therefore, the number of children that weigh less than 50 pounds = 18

Answer:

Yes, because the products of means is equal to the product of extreme

Step-by-step explanation:

Answer:

Zoe is wrong because she added all the dimensions instead of multiplying all the dimensions

Step-by-step explanation:

to find the volume of a rectangular prism the formula is: Multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

8 chocolate bars

Step-by-step explanation:

56 / 7 = 8

( / = divide)

Answer:

[tex]Volume=288in^{3}[/tex]

Step-by-step explanation:

Given

Base Cubes =36

Layers = 8

The number of base cubes represents the base area and the number of layers represents the height of the prism.

So, the volume is calculated as:

Volume = Base Cubes * Layers, i.e Base Area * Heights

Volume = [tex]36*8[/tex]

Volume = [tex]36in^{2} * 8 in[/tex]

Volume = [tex]288in^{2}[/tex]

Answer:

V= 2* L*B*H

Step-by-step explanation:

Although we are not given the dimension of the rectangular prisms in this question

The volume of a rectangular prism is

V= L*B*H

Since the number of the prism is two

Hence the volume of the two prisms

V= 2* L*B*H

Therefore, when the plugin the dimensions of the prism into the expression above, you will get the volume of the two prisms combined

Answer:

4x^2 - 14x + 19

Step-by-step explanation:  

A = LW

A = (2x-3) (2x-3)

4x^2 - 6x - 6x + 9

Combine like terms:

4x^2 - 12x + 9

-2(x - 5) (for both ovals)

(4x^2 - 12x + 9) -2(x - 5)

4x^2 - 12x + 9 - 2x + 10

Group then combine like terms:

4x^2 - 12x - 2x + 10 + 9

4x^2 - 14x + 19

Sorry for being 10 days late but here is the answer for anybody that needs this! :D

Answer:

11:52 am

Step-by-step explanation:

Answer:

answer b

Step-by-step explanation:

lol  points ig

Answer:

6.63 pounds

Step-by-step explanation:

Total pounds of mixture = 20

The contents of the mixture are; peanuts and almonds. Of which;

Peanuts cost = $2.95 per pound

Almonds cost = $5.95 per pound

The mixture cost = $4.00 per pound

Total cost of contents of the mixture = $8.90

The pounds of peanuts = [tex]\frac{2.95}{8.90}[/tex] x 20

                     = 6.63

Therefore, 6.63 pounds of peanuts was used in producing 20 pounds of the mixture.

Answer:

can you show us the table?

Step-by-step explanation:

Answer:

Step-by-step explanation:

1

Answer:

57

Step-by-step explanation:

<=1/2(AP-BN)

12=1/2(x-33)

(2) 12=1/2(x-33) (2)

24=x-33     24+33

57=x

57=AP

Answer:

5x^2−10x−2

Step-by-step explanation:

I hope this is what you are looking for I just added (5x^2 – 9) + (-10x + 7)

Answer:

6/5 miles

Step-by-step explanation:

2 of 1/2 hour makes an hour.

1/2 hour = 3/5 miles

1 hour = 3/5 x 2 = 6/5 miles

Answer:

6/5 mph

Step-by-step explanation:

If she walks 3/5 miles in half an hour, she will walk 6/5 miles in an hour

Answer:

Step-by-step explanation:

Given sequence:

We observe this is a GP with the first term of 3 and common ratio of 5.

Equation for the nth term is:

Correct choice is D

9514 1404 393

Answer:

  B, C, E

Step-by-step explanation:

When the central angles are congruent, the corresponding triangles are congruent:

  ΔJHK ≅ ΔLHM . . . . selection E

and the base chords are congruent:

  ML ≅ JK . . . . selection B

The subtended arcs are also congruent, so adding arc LK to each will result in congruent arc measures:

  arc MLK ≅ arc LKJ . . . . selection C

Answer:

21

Step-by-step explanation:

Answer:

The correct anser for delta math is 68%

Step-by-step explanation:

I gave up on delta math

Answer:

Don't have them

lol