Please answer this question it is due 5:00

Answer:

b

Step-by-step explanation:

Answer:

[tex]P(t) = (2t + 50)^2[/tex]

Step-by-step explanation:

A certain population increases at a rate proportional to the square root of the population.

This means that the population can be described by the following differential equation:

[tex]\frac{dP}{dt} = r\sqrt{P}[/tex]

In which r is the growth rate.

Solving by separation of variables, we have that:

[tex]\frac{dP}{\sqrt{P}} = r dt[/tex]

Integrating both sides:

[tex]2\sqrt{P} = rt + K[/tex]

In which K is a random constant

[tex]\sqrt{P} = 0.5rt + K[/tex]

Finding the squares of both sides:

[tex]P(t) = (0.5rt + K)^2[/tex]

Finding the value of K

The initial population is of 2500. That is, when [tex]t = 0, P = 2500[/tex]. So

[tex]P(t) = (0.5rt + K)^2[/tex]

[tex]2500 = (0.5r(0) + K)^2[/tex]

[tex]K^2 = 2500[/tex]

[tex]K = \sqrt{2500}[/tex]

[tex]K = 50[/tex]

So

[tex]P(t) = (0.5rt + 50)^2[/tex]

Finding the value of r

Population of 3600 in 5 years(when t = 5). So

[tex]P(t) = (0.5rt + 50)^2[/tex]

[tex]3600 = (0.5r(5) + 50)^2[/tex]

[tex](2.5r + 50)^2 = 3600[/tex]

Taking the square root of both sides

[tex]\sqrt{(2.5r + 50)^2} = \sqrt{3600}[/tex]

[tex]2.5r + 50 = 60[/tex]

[tex]2.5r = 10[/tex]

[tex]r = 4[/tex]

So, the equation for the population at the end of t years is given by:

[tex]P(t) = (0.5rt + 50)^2[/tex]

[tex]P(t) = (0.5(4)t + 50)^2[/tex]

[tex]P(t) = (2t + 50)^2[/tex]

Answer:

UY = 90

GH = 4

Step-by-step explanation:

Since both figures are similar, the ratio of their corresponding side lengths would be the same.

Thus:

✔️UY/GF = XW/IJ

UY/10 = 54/6 (Substitution)

Multiply both side by 10

UY = (54*10)/6

UY = 90

✔️Also,

UV/GH = XW/IJ

36/GH = 54/6

36/GH = 9

GH = 36/9

GH = 4

Answer:

sorry I can get what are you asking

is medium, average or something else?

Answer:

4 meters per second

Step-by-step explanation:

120 divided by 30 = 4

Answer:

2nd term = 11

5th term = 74

Step-by-step explanation:

3n² - 1

n = 2 , 2nd term = 3*2²  - 1

                           = 3*4 -1

                          = 12 - 1

                          = 11

n= 5 , 5th term = 3*5² - 1

                        = 3*25 - 1

                      = 75 - 1

                      = 74

Step-by-step explanation:

in[tex]\tt{3n^2-1 }[/tex] ⠀

If n=2

so,

2nd term=⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{3×2^2-1 }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{ 3×4-1 }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{ 12-1 }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{ 11 }[/tex] ⠀

If n=5

so,

5th term =

[tex]\rightsquigarrow[/tex] [tex]\tt{ 3×5^2-1 }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{ 3×25-1 }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{75-1 }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{74 }[/tex]

Answer:

8 ( x  −  7 )  ( x  +  4 )

Step-by-step explanation:

Step-by-step explanation:

180 Degree Rotation

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y)

Answer:

L - W = 2 and 2L + 2W = 68

Step-by-step explanation:

The two equations here are going to be-

Length minus width equals 2

L - W = 2

And

Length x 2 + Width x 2 = 68

2L + 2W = 68

Answer:

a to u

Step-by-step explanation:

Answer:

10x+16

Step-by-step explanation:

4x-1+6x+2+15

10x-1+2+15

10x+16

Answer:

I believe it is A, B, and D.

Step-by-step explanation:

Answer:

wow i have never seen that instrument before.

Step-by-step explanation:

Answer:

31.55

Step-by-step explanation:

Answer:

Dan is recycling equal weight of printers and monitors.

Step-by-step explanation:

Let,

x be the number of printers

y be the number of monitors

According to given statement;

x+y=60      Eqn 1

25x+35y=1750   Eqn 2

Multiplying Eqn 1 by 25

25(x+y=60)

25x+25y=1500    Eqn 3

Subtracting Eqn 3 from Eqn 2

(25x+35y)-(25x+25y)=1750-1500

25x+35y-25x-25y=250

10y = 250

Dividing both sides by 10

[tex]\frac{10y}{10}=\frac{250}{10}\\y=25[/tex]

Putting y=25 in Eqn 1

x+25=60

x=60-25

x=35

Weight of printers = 35*25 = 875 lb

Weight of monitors = 25*35 = 875 lb

Therefore,

Dan is recycling equal weight of printers and monitors.

5) the line goes diagnol right throuh the zero from the bottom left corner to the top right.

6) straight line across 3 (3,0)

7) straight line across -2 (-2,0)

8) its a open dot on 1 with the line going right

9) ok so they are both intercecting im pretty sure its a no solution tho

Answer:

[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]

Step-by-step explanation:

Given

[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)[/tex]

Required

Simplify

[tex](2\sqrt{5} - 4)(3\sqrt{5}+2).[/tex]

Expand brackets

[tex]2\sqrt{5}(3\sqrt{5}+2). - 4(3\sqrt{5}+2).[/tex]

Open each bracket

[tex]2\sqrt{5}*3\sqrt{5}+2\sqrt{5}*2 - 4*3\sqrt{5}-4*2[/tex]

[tex]6 * 5 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]

[tex]30 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]

Collect Like Terms

[tex]- 8+30 + 4\sqrt{5} - 12\sqrt{5}[/tex]

[tex]22 - 8\sqrt{5}[/tex]

Hence:

[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]

Answer:

b. 12.2 months

A percentage is a way to describe a part of a whole. The correct option is B.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the colony of 100,000 ants has been declining in number at a rate of 11.4% per month. Therefore, the number of months it will take for the ant population to reach 25,000 ants is,

Population = 100,000(1-0.114)ⁿ

25,000 = 100,000(1-0.114)ⁿ

0.25 = 0.886ⁿ

log(0.25) / log(0.886) = n

n = 11.45335

Since the value is close to 12.2 months.

Hence, the correct option is B.

Learn more about Percentages:

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Answer:

678182829jijsjsjsjsjskskwkdkw

Area of the given figure is 199.5 square miles.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

The given figure can be divide in to smaller figures to find the area of each smaller figure and add it.

A rectangle with sides 5 miles and 3 miles.

A rectangle with sides 15 miles and 6 miles.

A rectangle with sides (8 - 5) + 6 = 9 miles and 3 miles.

A triangle with base length 9 miles and height 8 + 6 + 3 = 17 miles.

Area = (5 × 3) + (15 × 6) + (9 × 3) + (1/2 × 9 × 17)

        = 15 + 90 + 18 + 76.5

        = 199.5 square miles

Hence the area of the given figure is 199.5 square miles.

Learn more about Area here :

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Answer:

he will have $3623.85 after 3 years.

Answer:

135

Step-by-step explanation:

105/7 = 15

15*9 = 135

Answer:

Well, I usually multiply this which would be 15 x .2 which would equal the tip.

Step-by-step explanation:

Answer:

a smaller version of the shape think :)

Answer:

Fraction:

- 2 over 3

Decimal: -0.66666666

(- Repeating Decimal-)

Step-by-step explanation:

Answer:

Gather

Step-by-step explanation:

Answer: Gather

Hope this helps!

Answer: 0

Step-by-step explanation: -8+8=0

Answer:

0

Step-by-step explanation:

So if you have -8 and 8 and you add them together they cancel out each other and make 0

Answer:

2.19

Step-by-step explanation:

Answer:

2.19

Step-by-step explanation:

Answer:

12:15

Step-by-step explanation:

i dont really have an explanation

but i am in 6th grade not sure how

to explain it lol