Ten blackberry plants start growing in my yard. Absent constraint, blackberries will spread by 200% a month. My yard can only sustain about 50 plants. Using the logistic growth model, a. Write a recursive formula for the number of blackberry plants in my yard b. Calculate the number of plants after 1, 2, and 3 months

Answers

Answer 1

The recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10

The recursive function

The given parameters are:

Initial = 10Maximum = 50Growth rate = 200%

The number of plants in month n is calculated using:

Tn = Tn-1 * (1 + 200%)

This gives

Tn = 3Tn-1

Hence, the recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10

The number of plants after 1, 2, and 3 months

This means that n = 1, 2, 3

When n = 1, we have:

T1 = 3To = 3 * 10 = 30

When n = 2, we have:

T2 = 3T1 = 3 * 30 = 90

90 is greater than the maximum number of plant the backyard can contain

Hence, the number of plants after 1 month is 30 and the plants in the backyard would exceed 50 plants before the end of the 2 months

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Related Questions

find the lateral area of the cone. radius 32 height 25

Answers

Answer:

200201+1918191=9191919289+

Step-by-step explanation:

tnks

Helpppp
Which choices are equivalent to the expression below (see the picture please)

Answers

Answer:

A or B ( if it is multiple choice as B is the answer to A)

Answer:

C and E

Step-by-step explanation:

C and E are both equal to (2^3)^4

what is the approximate value of x in the exponential 4^x=14?

Answers

We know 4² = 16 , 4¹= 4

In this case we have :-

[tex] {4}^{x} = 14[/tex]

and we have to find the value of x

14 is less than 16 so x will be less than 2

14 is greater than 4 so x will be greater than 1

we can find the value of

[tex] {4}^{1.5} = {4}^{ \frac{3}{2} } \\ { (\sqrt{4}) }^{3} = {2}^{3} = 8[/tex]

so we can say 14 is much larger than 8 which means x will be much larger than 1.5

so according to above ideas we can say our answer is 2nd option which is 1.9037 is our answer

[tex]x \approx1.9037[/tex]

[tex]~~~~~~~4^x = 14 \\\\\implies \ln 4^x = \ln 14\\\\\implies x \ln 4 = \ln 14\\ \\\implies x = \dfrac{\ln 14}{ \ln 4}\\\\\implies x \approx 1.9037[/tex]


PLEASE HELP NOW PLEASE

Answers

Answer:

C.

Step-by-step explanation:

-5.3 rounds up to -5

7.9 rounds up to 8

sum is 3

2.4 rounds to 2, not 3

It's not reasonable

so, the answer is C.

Answer:

C. Since -5.3 rounds to -6 and 7.9 rounds to 8, the sum rounds to 2. Her answer of 2.4 is not equal to 3. So, it is not reasonable.

Step-by-step explanation:

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Find the volume of the rectangular prism.
8 cm
10 cm
2 cm
10 cm
OA. 160.5 cm³
B. 182.4 cm³
Oc. 181.4 cm³
D. 160 cm³
2 cm

Answers

Answer:

volume= lxbxh= 10*8*2= 160 cm3

find the 70th term of the arithmetic sequence 18, 34, 50, ...

Answers

Answer:

1122

If you do 18 (the first number in the sequence) plus 69 because you have to do 70 minus 1 equals 69. So 18 plus 69 then you times 16 (how many you have to get to the next number).

18+69×16=1122

Step-by-step explanation:

When the net is folded up, which sides will touch?

Answers

Answer: Choice C is correct

Explanation:

We can think of the square in the middle of the four others as the floor

The surrounding four squares are the walls that fold upward.

The square at the very right side will then form the ceiling.

Side E and side L join at the top left edge.

See the diagram below.

Posted this earlier but it got lost. Having difficulty answering this, my original answer was incorrect. Photo is attached, please help!

Answers

1.2 would be your answer just round the second term flip your fraction and you will have your answer!

Jerry boards a Ferris wheel from the bottom of the wheel (the 6 o'clock position) and the Ferris wheel rotates counterclockwise. The center of the wheel is 30 feet from the ground and the radius if the wheel is 25 feet.

Using a sine function, describe a function g that represents the height above the ground (in feet) in terms of the time since the Ferris wheel began rotating if the Ferris wheel rotates at a speed of 2 radians per second.

O9(0)-25 cos(+)+30

Og(t)- 25 sin(2t - )+30

Og(t)- 25 sin(+)+30

Og(t)- 25 cos (2+)+30

Answers

function g that represents the height above the ground (in feet) in terms of the time since the Ferris wheel began rotating if the Ferris wheel rotates at a speed of 2 radians per second is g(t) = 25cos(2t) feet+30

What is angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

The height g(t) above the center after t minutes is given by

g(t) = 25cos(r(t))

g(t) = 25cos(2t) feet+30

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Previous
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Question
Solve 6x+1≤4x−9.

Answers

Step-by-step explanation:

6x+1≤4x−9

6x-4x≤-9-1

2x≤-10

-5≤x

inequality changes when divided or multiplied with negative

MARK ME AS BRAINLIST

Which set of transtormations results in two polygons that are similar but not congruent?

Answers

Answer is Dilation
Reason; Dilation changes the figure size to bigger or smaller so it is not congruent.
Translation, rotation and reflection transformations are congruent


Together, teammates Pedro and Ricky got 2682 base hits last season. Pedro had 280 more hits than
Ricky. How many hits did each player have?

Answers

Answer:

Ricky had 1201 hits and

Pedro hade 1481 hits

Step-by-step explanation:

Let Ricky be 'y'.

Since, Pedro hit 280 mroe than Ricky.

Pedro is 'y+ 280'

Thus,

y + y+ 280 = 2682

2y = 2402

y = 1201

Ricky had 1201 hits and

Pedro hade 1201 + 280 = 1481 hits

Answer:

See below ~

Step-by-step explanation:

Let :

Hits by Ricky = xHits by Pedro = x + 280

Solving :

Mentions the sum is 2682x + x + 280 = 26822x = 2402x = 1201

Solution :

Hits by Ricky = x = 1201 hitsHits by Pedro = x + 280 = 1201 + 280 = 1481 hits

PLS HELP GIVING BRAINLIEST Scott wishes to make a line plot of the heights in inches for a basketball team. The heights are listed below. Which line plot represents the data correctly?

74 79 78 79 82
73 82 81 80 84
74 76 69 78 84

Answers

Answer:

its the first one you listed

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Which one of these is not a step used when constructing an inscribed equilateral triangle using technology?

A. Create a circle using the center with given point tool.

B. Connect the point with a line through the center of the circle.

C. Create another circle with the same radius as the original.

D. Connect the two circles together using the compass tool.

Answers

the answer is D
explanation

Answer:

The answer is D

Step-by-step explanation:

Draw the point at which your circle will be centered.

Use a compass to draw a perfect circle centered at point O.

Use a ruler to draw a vertical line straight through point O.

Draw the points at which the line intersects the circle.

Draw a second circle. This circle will be centered at Point W and the radius will extend to Point O.

Mark both places where the two circles intersect. Label the point on the left "Point Y" and the point on the right "Point Z".

Connect points X, Y, and Z using a ruler or straight edge.

What is the value of y?

Answers

The theorem is used to find the side and angles of a triangle. The value of y from the given diagram is 0.64

SOH CAH TOA identity

The given diagram are right angled triangle

From the lower triangle

sin45 = a/2√2
1/√2 = a/2√2

1 = a/2
a = 2

Determine the value of y

tan 60 = opp/adj

tan 60 =y/2

y = 2 tan60

y = 0.64

Hence the value of y from the given diagram is 0.64

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1.1 Penny specializes in making tablecloths. She buys fabric in rolls. The length of each roll is 100 and the standard width is 1 m. She cuts the roll into pieces of 1,5 m in length and then puts binding material at the edge of each tablecloth. A packet of binding material contains 24 pieces, each 5 cm long. Each tablecloth has 8 circular designs. Each circular design prece has a diameter of 14 cm

1.2.1 Determine the perimeter of one tablecloth

1.2.2 How many pieces of binding material required for 1 roll of fabric?

1.2.4 Calculate the area of the tablecloth that is not covered with the circular designs.

Area of a circle =​

Answers

can someone help me with c sense

Find the equation of a parabola with a focus at (3,1) and a directrix at y = 3.

Answers

The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

What is Parabola?

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.

Here, focus (3,1) and directrix y=3

Let the locus of parabola be (x, y)

We know that, in Parabola

Distance between locus to focus = Distance between locus to directrix line

[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex] = [tex]\frac{Ax_{1}+By_{1}+C }{\sqrt{A^2 + B^2 + C^2} }[/tex]

[tex]\sqrt{(x-3)^2+(y-1)^2} = \frac{0.x+1.y-3}{\sqrt{0^2+1^2+(-3)^2} }[/tex]

On squaring both sides, we get

[tex](x-3)^2 + (y-1)^2 = (\frac{y-3}{\sqrt{10} } )^2[/tex]

[tex]x^2 -6x + 9 + y^2 -2y + 1 = \frac{y^2 -6y +9}{10}[/tex]

[tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

Thus, The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

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What would the graph of f(x)=2arcsin (x-4)+1, look like?

Answers

The graph of the given function f(x)=2arcsin (x-4)+1, looks like the curve.

We have given that the function

f(x)=2 arcsin (x-4)+1,

We have to determine the graph of f(x)

Therefore we gave

Graph

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

What are the coordinates of the graph?

An ordered pair (x, y) represents a position of a point on a coordinate graph, where x is the number on the x-axis that the point lines up with and y is the number on the y-axis that the point lines up with.

The numbers x and y in the ordered pair (x, y) are called coordinates.

We find the coordinate of the given graphs and draw a graph of the given function.

x           f(x)

3          −π−1

7/2        −π/3−1

4            −1

9          2π/3−1

5            π−1

Therefore the graph of the given function is

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A surveyor needs to determine the distance between two points that lie on opposite banks of a river. Two points, A and C, along one bank are 250 yards apart. The point B is on the opposite bank. Angle A is 64º and angle C is 51°. Find the distance between A and B to the nearest tenth of a yard. • Write your answer as a number only. • Round answer to one decimal place.​

Answers

Answer:

does anyone know

Step-by-step explanation:

That is hard

A. c

B. d

C. b

D. a

Pls help!!

Answers

Answer:

d

Step-by-step explanation:

that's the answer to the question

What is the length of the line?

Answers

Answer:

the length of the line is 7

Step-by-step explanation:

it is b. 7

Find the area of the figure. Round to the nearest hundredth where necessary.
22 ft
30 ft

Answers


[tex]\bold{ANSWER:}[/tex]
215.20 ft^2

[tex]\bold{SOLUTION:}[/tex]


If there were 20 gallons of water left in the fish tank after the water
leaked out, how many gallons of water does the fish tank hold when
it is full

Answers

Answer:

Hope this helps. Credit to the other user.

Step-by-step explanation:

PLS URGENT! WILL GIVE BRAINLIEST!!!!
A certain company's main source of income is a mobile app. The function h models the company's annual profit (in millions of dollars) as a function of the price they charge for the app (in dollars).
Which of these statements are true?

(A) Greater app price always relates to greater profit.

(B) Greater app price relates to greater profit as long as the app's price is more than about 7 dollars.

(C) The largest possible profit the company can make is 7 million dollars.

(D) The largest possible profit the company can make is about 40 million dollars.

Thank you! God Bless!

Answers

Answer:

(C) The largest possible profit the company can make is 7 million dollars

Step-by-step explanation:

Proverbs 3:5-6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Trust in the Lord with all your heart

   and lean not on your own understanding;

in all your ways submit to him,

   and he will make your paths straight.

_________________________________________________________

Have a blessed day!!

:)

A machine produces 225 bolts in 24 minutes. At the same rate, how many bolts would be produced in 40 minutes?

Answers

Answer: 375 bolts

Step-by-step explanation:

Just do 225*(40/24)

heyo!

Given ,

225 bolts in 24 minutes

So in a minute it can produce = 225/24 = 9.3 = 9 bolts

In 40 minutes it can produce = 9 x 40 = 360 bolts

What is a good estimate and the actual measurement for this angle measurement?
A. 110 and 109
B. 95 and 96
C. 90 and 91
D. 70 and 71

Answers

I suggest answer A. 110 and 109
Reason
Using theory that all angles combined will equal 360

Using theory of alternate interior angles, using 110 means alternate interior will be 110. To complete the angle the other side is 70 for the 180 degree angle.
Doing the same thing on the other side using 109 and 71 = 180

The picture might help

A linear function has a y-intercept of -9 and a slope of 4/3 . What is the equation of the line

Answers

Answer:

[tex]y=\frac{4}{3} x-9[/tex]

Step-by-step explanation:

Here this is in standard form. Hope this helps!

Answer:

y=4/3x-9

Step-by-step explanation:

equasion for linear function is y=mx+b where y is m is slope and b is y intercept. just plug in your variables

Need help with problem

Answers

Answer:

17

Step-by-step explanation:

SINCE THE LINES ARE PARALLEL THEN ANGLE A AND ANGLE B ARE COREESPONDING TO EACH OTHER.A = 7x + 24 B= 3x+ 92A=B7x + 24 = 3x + 92

7x - 3x = 92 - 24

4x = 68

x = 68 / 4

x =17

Answer:

143

Step-by-step explanation:

These are corresponding angles meaning they are congruent. So we just have to set them equal to each other and solve for x. Then plug in x.

7x + 24 = 3x + 92

subtract 3x from both sides

4x + 24 = 92

subtract 24 from both sides

4x  = 68

divide both sides by 4

x = 17

Now plug in x to angle A, which is 7(17) + 24

119 + 24

then add

you get:

143

Two tickets to the movies cost $16. If two drinks add $4.56 to the total, how much change should be received from $25?

Answers

Answer:

total cost =$ 16 +$ 4.56=$ 20.56

change received = $25 - $ 20.56 = $4.44 .

Step-by-step explanation:

therefore your answer is 4,44 hope this helps

H
This diagram shows a semicircle with diameter MP
M
What is the approximate area of the shaded part?
OA. 33.8 cm²
OB. 235.3 cm²
O C. 102.7 cm²
OD. 36.3 cm²
O
Type here to search
F
12 cm
13 cm

5 cm
O
<
MTWTR
^
(8

Answers

Answer:

D 36.6

Step-by-step explanation:

Here, there is a triangle inscribed inside of a semicircle where the triangle is unshaded and the remained of the semicircle is shaded and we want to find the area of that shaded untouched area of the semicircle.
To do so we must find the area of the two shapes individually and then subtract the area of the triangle from the area of the semi circle as the triangle is what is uncovering the semicircle.

Finding the area of the semicircle

Area of a semicircle = (πr²)/2 where r = radius

Here we are given the diameter of the semicircle which is 13cm. We can easily convert the diameter to radius by dividing it by 2 as the radius is equal to half the diameter

Radius = 1/2 diameter , so radius = 13 / 2 = 6.5cm

We have A = πr²/2

==> plug in radius or r = 6.5

A = π(6.5)²/2

==> simplify exponent

A = π(42.25)/2

==> multiply π and 42.25 ( note that π = 3.14 approximately

A = 132.665/2

==> divide 132.665 by 2

A = 66.366

So the area of the semicircle is 66.366cm²

Finding the area of the triangle

The area of a triangle can be calculated by dividing the product of the base length and height ( formula = bh / 2 where b = base length and h = height )

Here the base length appears to be 5cm and the height appears to be 12cm so b = 5 and h = 12

So we have A = bh/2

==> plug in b = 5 and h = 12

A = (12)(5)/2

==> multiply 12 and 5

A = 60 / 2

==> divide 60 by 2

A = 30

So the area of the triangle is 30cm²

Subtracting the area of the triangle from the area of the semicircle

Finally to find the area of the shaded region we subtract the area of the triangle from the area of the semicircle

We have area of triangle = 30cm² and area of semicircle = 66.366

So area of shaded region = 66.366 - 30 = 36.366

D , 36.6 is closest to our answer therefore the answer is D

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