Find the standard form of the following...
26

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:

<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:

Step-by-step explanation:

I am sorry but please give detailed question

Answer:

Wait there isnt a question?

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

V=4 /3πr^3=4/ 3·π·7.53≈1767.14587

Here's a joke to lighten your mood;

A woman gets onto a bus with her baby.

The bus driver says, “That’s the ugliest baby that I’ve ever seen. Ugh!”

The woman goes to the rear of the bus and sits down, fuming. She says to a man next to her, “The driver just insulted me!”

The man says, “There’s no call for that. You go right up there and tell him off. Go ahead, I’ll hold your monkey for you.”

Answer:

V = 562.5 π cm3

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/geometry-solids/sphere.php?given_data=radius&r=7.5&pi=3.1415926535898&units_length=cm&sf=0&given_data_last=radius&action=solve

Answer:

32

Step-by-step explanation:

[tex]\sqrt{32*2^5} \\\sqrt{32*32} \\\sqrt{1024} \\32[/tex]

Answer:

here!

[tex]\sqrt{32*2^{2} } =32[/tex]

Step-by-step explanation:

hope it helps....

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:

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:

4,140 degrees

Step-by-step explanation:

Mathematically, the sum of interior angles of a polygon is;

(n-2)180

where n is the number of sides the polygon has

Mathematically;

we will be replacing n by 25 here

So, we have;

(25-2)180

= 23 * 180 = 4,140 degrees

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:

1.

Equation: y = -4x + 7

Slope: -4

y-intercept = 7

2.

Equation: y = 2/3x - 3

Slope: 2/3

y - intercept: -3

3.

Equation: y = 5/4x - 3/2

Slope: 5/4

y - intercept: -3/2

4.

Equation: y = -1/2x + 4

Slope: -1/2x

y - intercept: 4

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:

x = 22

Step-by-step explanation:

The sum of the angles round a point is 360°

Sum the given angles and equate to 360

x + 6x + 40 + 3x + 100 = 360

10x + 140 = 360 ( subtract 140 from both sides )

10x = 220 ( divide both sides by 10 )

x = 22

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:

y=3,000(0.985)^x

y=1,500(1.012)^x

Step-by-step explanation:

System of equations  Brandon can use for  two location are y= 3000[tex](0.985)^{x}[/tex] and y =[tex]1500(1.012)^{x}[/tex]

Profit and loss percentage are used to refer to the amount of profit or loss that has been incurred in terms of percentage.

According to question

Brandon is analyzing the profits from two of his restaurant locations.

where

x = number of week

y = the profit

1st restaurant : showed a profit of $3,000 in the first week of the year but

has a showed a steady decrease in profits of 1.5% each week since then

So in equation we can write it as

y= [tex]3000(1 - 0.015)^{x\\}[/tex]

y= 3000[tex](0.985)^{x}[/tex]

2nd restaurant : showed a profit of $1,500 in the first week of the year and has showed a steady increase in profits of 1.2% each week since then.

So in equation we can write it as

y = [tex]1500(1+0.012)^{x}[/tex]

y =[tex]1500(1.012)^{x}[/tex]

Hence, system of equations can Brandon use to determine the x and y form the two location are y= 3000[tex](0.985)^{x}[/tex] and y =[tex]1500(1.012)^{x}[/tex]

To know more about profits and loss percentage  here :

https://brainly.com/question/17894849

# SPJ2

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:

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:

addition property of equality

Step-by-step explanation:

Answer:

76%

Step-by-step explanation:

19/25 = Score

her percent = 19 divided by 25 = 0.76

0.76*100 = 76%

hope this helps!

Answer:

515.5

Step-by-step explanation:

tell me if I helped

Answerr

Step-by-step explanation:

3150

Answer:

Step-by-step explanation:

Inscribed angle = 130°/2 = 65°

Answer:

3, 750

Step-by-step explanation:

The interest added to the loan would be $3, 750

Answer:

(5x-2)(2x+7)

Step-by-step explanation:

10x²+31x-14

10x²+35x-4x-14

(10x²+35x)-(4x+14)

5x(2x+7)-2(2x+7)

(5x-2)(2x-7)

Given:

The base of a prism is a right triangle with legs measuring 16 feet and 4 feet.

Height of the prism is 14 feet.

To find:

The volume of the triangular prism.

Solution:

The area of a triangle is:

[tex]Area=\dfrac{1}{2}\times b\times h[/tex]

Where, b is base and h is height of the triangle.

The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. It means the base of the triangle is 16 feet and height is 4 feet. So, the area of the base of the prism is:

[tex]B=\dfrac{1}{2}\times 16\times 4[/tex]

[tex]B=32[/tex]

Now, the volume of a triangular prism is:

[tex]V=Bh[/tex]

Where, B is base area and h is the height.

Putting [tex]B=32,h=14[/tex] in the above formula, we get

[tex]V=32\times 14[/tex]

[tex]V=448[/tex]

Therefore, the volume of the triangular prism is 448 cubic feet.

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:

your answer is 50° I hope it's helps you

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:

Step-by-step explanation:

Answer:

18y - 12

Step-by-step explanation:

3(6y - 4)

(3)(6y - 4)

(3)(6y) + (3)(-4)

18y - (3)(-4)

18y - 12

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:

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