What is the minimum unit cost? Do not round your answer.

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:

11:52 am

Step-by-step explanation:

Answer:

The roots are {-4, 2}.

Step-by-step explanation:

It seems strange to have x terms on both sides of your equation.  If this is indeed the correct equation, then

x^2-x-8=-3x becomes x^2 +3x - x - 8= 0, and this latter result simplifies to

x^2 + 2x - 8 = 0.  

One set of factors of -8 is {-2, 4} and another is {1, -8).  Hence we could try evaluating this quadratic at x = 4:

4^2 + 2(4) - 8 = 16 (since this is not zero, 4 is not a root and (x - 4) is not a factor.  

Try x = -4 instead:

(-4)^2 + 2(-4) - 8 = 0 simplifies to 16 - 8 - 8 = 0, which is true.

Then x + 4 is a factor and x - 2 is another.  Multiplying these two together as a check results in the given x^2- x - 8 = -3x.

The roots are {-4, 2}.

Answer:

Black socks pairs = 7

Brown socks pairs = 3

White socks pairs = 8

P(not black) = ?

First, you need to add the brown & white socks pairs,

[tex]3 + 8 = 11[/tex]

Then you need to add the total number of socks pairs,

[tex]7 + 3 + 8 \\ = 7 + 11 \\ = 18[/tex]

P(not black)

[tex] = \frac{11}{18} [/tex]

Step-by-step explanation:

solution given:

total pair of socks[S]=(7+3+8)=18

total pair of black socks[B]=7

total pair of brown socks [C]=3

total pair of white socks[W]=8

total no of orange marbles[O]=2

now

the P( not black) =?

we have

P( not black) =1-[tex] \frac{n[B]}{n[S]} [/tex]

P( not black) =1-[tex] \frac{7}{18} [/tex]

P( not black) =[tex] \frac{18-7}{18} [/tex]

P( not black) =[tex] \frac{11}{18} [/tex]

so 11/18 is a required probabilty.

Answer:

[tex]5:3[/tex]

Step-by-step explanation:

To find the simplest ratio, you need to divide by the greatest common factor. In this case, the GCF is 2. So we need to divide both sides by 2. Doing so will get us 5 and 3

Answer:

A 1 1/2 miles per hour

Step-by-step explanation:

Take the amount of miles he can row in 1/4 of an hour (3/8) and multiply it by 4, since it will tell you how many miles he can row in one hour. You get 12/8 miles per hour, which simplifies to 1 1/2 miles per hour

Hopefully this helps - let me know if you have any questions!

Answer:

1. X-axis

2. Quadrant 4

3.3

4.2

Step-by-step explanation:

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: for C it is that 1/2 is half of an whole therefore 1/2 is  half is less than the rest

for D you will have to add more 1/2 for it to be greater than but for now, it is less than.

for E you will have to add more 1/2 for it to be greater than

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:

[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:

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:

B. 84. cubic cm.

Step-by-step explanation:

Remember volume = l*w*h or b*h

Have an awesome day. Let me know if you need any other questions to be answered.

Answer:

54000 cm²

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

you you have to get the 32 and subtract that by 90 you go by the right angle and subtract 32

Answer:

C) 58

Step-by-step explanation:

CD = 90°

BXC = 32°

Since AXB and these two angles form a straight line, add the first two angles and subtract from 180 (a straight line)

90 +32 = 122

180-122 = 58

Answer:

The correct anser for delta math is 68%

Step-by-step explanation:

I gave up on delta math

Answer:

Given that the garden is a right triangle with base 25m start and height 30 m The length of the hypothenus can be achieved by using pythagorean theorem. Please find the attached file for the diagram. I made a large unit for the sake of clarity.

Answer:

6.0 on the left side 5.0 at the bottom 7.8 on the right side

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

Given:

The graph of the system of inequalities.

To find:

The system of inequalities.

Solution:

From the given graph it is clear that the first line passes through the points (0,2) and (1,-1). So, the equation of the boundary line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-2=\dfrac{-1-2}{1-0}(x-0)[/tex]

[tex]y-2=-3x[/tex]

[tex]y=-3x+2[/tex]

The shaded region lies above the line and the boundary line is a solid line. So, the sign of inequality must by ≥.

[tex]y\geq -3x+2[/tex]

The second line passes through the points (0,-2) and (3,0). So, the equation of the boundary line is:

[tex]y-(-2)=\dfrac{0-(-2)}{3-0}(x-0)[/tex]

[tex]y+2=\dfrac{2}{3}x[/tex]

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

The shaded region lies above the line and the boundary line is a solid line. So, the sign of inequality must by ≥.

[tex]y\geq \dfrac{2}{3}x-2[/tex]

Therefore, the system of inequalities contains two linear inequalities [tex]y\geq -3x+2[/tex] and [tex]y\geq \dfrac{2}{3}x-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:

the answer is x<8

Step-by-step explanation:

Answer:

<AEB = 51.2

Step-by-step explanation:

Remark

A straight line has a degree value of 180. There are 3 angles. One of them is 90. The other two must add to 90

Equation

2.7x + 8 + 3.8x - 22 = 90      combine like terms on the left.

6.5x - 14 = 90                        add 14 to both sides

6.5x = 90 + 14

6.5x = 104                              Divide by 6.5

x = 104/6.5

x = 16

<AEB = 2.7*16 + 8

<AEB = 51.2

Answer:

answer b

Step-by-step explanation:

lol  points ig

Answer:

Don't have them

lol

Answer:

Substitute the value of the variable into the expression and simplify.

− 18

Step-by-step explanation:

I'm sorry if it's not what you are looking for.

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

Learn more about function here:

https://brainly.com/question/29633660

#SPJ7

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:

672

Step-by-step explanation: