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 volume of this please

Answers

Answer: 436.8

Step-by-step explanation:

7th grade math probability
Super easy
(Look at picture)

Answers

Answer:

3/6

I say that the probability is 3/6 because there are 3 spaces, and we are counting one spin. There are 6 spots total.

Answer:

maybe the answer is 3/5.

Do message me if the answer is wrong

How would you write 8^5 as a multiplication expression? A. 8 × 5 B. 8 × 8 × 8 × 8 × 8 C. 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5

Answers

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

if we ever face a number written in the form of [tex]\underline{x^{n}}[/tex]where x denotes the base and n denotes the exponent or power , we can expand it in the following way -

[tex] x^{n} = x \times x \times x \times.... x ( upto\: " n " \: times )[/tex]

therefore ,

[tex]8 {}^{5} = 8 \times 8 \times 8 \times 8 \times 8[/tex]

option ( B )

hope helpful -,-

                     - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\:\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\:\diamond[/tex]

           ✶ How would you write [tex]\bold{8^5}[/tex] as a multiplication expression [tex]\textit{?}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

    ✶ The exponent indicates how many times a certain number was multiplied by itself.

      ✶ In this case we have [tex]\bold{8^5}[/tex], so 8 was multiplied by itself five times.

So we conclude that [tex]\bold{8^5}[/tex] written as a multiplication expression looks as follows:-

[tex]\bigcirc\!\!\!\!\checkmark[/tex] 8•8•8•8•8

Good luck.

             - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

What is the volume?
2 mm
4 mm
2 mm

Answers

Answer:

16mm

Step-by-step explanation:

that's because volume is lwh ( length X width X height)

- 16 + ( - 12 ) - ( - 40 )

Answers

Answer:

12

Step-by-step explanation:

Its 12 because when you do -16 + - 40.... then -12 you get =12 There you go

Step-by-step explanation:

Solution ,

Firstly we need to understand that

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( - )

( - ) × ( + ) = ( - )

( + ) × ( - ) = ( - )

Question:

- 16 + ( - 12 ) - ( - 40 )

here ( + ) × ( - ) = ( - )

= - 16 - 12 - ( - 40 )

here ( - ) × ( - ) = ( + )

= - 28 + 40

here the ( + ) has greater variable so....

= + 12

hence 12 is the answer....

hi there! if someone could answer my question about angles that would be great! see the image attached.

Answers

Answer:

your missing angle is 136

Step-by-step explanation:

equation used: 360 - (136 + 88) = 136

A box contains 14 books & 7 pieces of dusters. Each piece of duster weighs 0.2 pounds each book weighs 1.1 pounds. The box & its contents together weigh 18.25 pounds. How much does the empty box weigh?

Answers

Answer:

1.45

Step-by-step explanation:

weight of all books= 14×1.1= 15.4

weight of all duster=7×0.2= 1.4

weight of books and duster= 15.4+1.4=16.8

weight of the empty box = 18.25-16.8=1.45

The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below:
Step 1: 2(y + 4) = 4y
Step 2: 2y + 6 = 4y
Step 3: 2y = 6
Step 4: y = 3
Which of the following explains how to correct Step 2 and shows the correct value of y?
The equation should be y + 4 = 4y after division by 2: y = 5
The equation should be y + 4 = 4y after division by 2 y = 2
O2 should be distributed as 2y + 8,
O2 should be distributed as 2y + 8, y = 2

Answers

Answer:

2(y+4)=4y

2y+8=4y

8=4y-2y

8÷2=y

4=y

Therefore y =4

What is the value of this expression?

48−{(18+12)÷6}×2


8

14

38

86

Answers

The answer is-38Step-by-step explanation:48−30÷6×248−5×248−1038

Please help me. I don’t understand at all.

Answers

Answer:

Option 2

Step-by-step explanation:

Evaluating the options :

Option 1

2 |x - 5| - 4 < -82 |x - 5| < -4|x - 5| < -2Empty set as modulus cannot be less than 0

Option 2

|2x - 1| - 7 <  -6|2x - 1| < 1x < 1There is a solution set other than empty set

Option 2 is the right answer.

Bearing. A is on a bearing of 095° from B. What is the bearing of B from A?​

Answers

The bearings from b to a is that o95 and it can’t be no longer than what I put so it has to be 20

How do you simplify this problem?

Answers

Answer:

x/y.

Step-by-step explanation:

Deal with each number or letter at a time:

3 / 3 = 1

x^3/x^2 = x

y^4 / y^5 =  y^-1 = 1/y

z / z = 1

So the answer is  1*x * 1/y * 1

= x/y.

Translate to an equation and solve the following. The quotient of k and 22 is -66. What is k

Answers

Answer:

Below.

Step-by-step explanation:

k / 22 = -66

k = 22*-66

= -1452.

Factor the polynomial 3x – 75

Answers

Answer:

3(x -25)

Step-by-step explanation:

common factor is 3,

75 / 3 = 25

3x / 3 = x

Answer:

3(x-25)

Step-by-step explanation:

The common factor is three

divide both terms by three

3x/3 = x

-75/3 = -25

put them back together with the three outside of the parentheses

3(x-25)

Someone please check my answers for 5 & 6, correct me if they are incorrect. May someone also please help me with 7 & 8? Thank you!

Answers

For part 5 the total value is $1845, for part 6 the total net worth is $3200, and for part 7 the debt to assets value is 0.433.

What is debt?

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

5)

Total value = 20×30 + 18×40 + 35×15 = $1845

6)

Net worth = (3500 + 300 + 600) - (1000+200) = $3200

7)

Total debt value = 2000+3200 = $5200

Total assets value = 10000+1300+700 = $12000

Debt to assets value = 5200/12000 = 0.433

Similarly, we can find any debt to assets value by using the formula:

Debt to assets value = Total debt/Total assets

Thus, for part 5 the total value is $1845, for part 6 the total net worth is $3200, and for part 7 the debt to assets value is 0.433.

Learn more about the debt here:

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What is the product?
3x³(2x² +4x+1)
O 2x +4Xô + xô
O
6x¹0+12x5+3x5
O 6x² + 12x6 +5
O 3x5+2x² + 4x+1

Answers

Answer:

6x⁵+12x⁴+3x³

Step-by-step explanation:

3x³(2x² + 4x + 1) = 3x³ × (2x² + 4x + 1)

therefore

3x³(2x² + 4x + 1) =

(3x³ × 2x²) + (3x³ × 4x) + (3x³ × 1)

*NOTE: for the brackets the multiplication law of indices is applied, i.e:

nª × n^b = n^a+b therefore

x³ × x² = x^3+2 = x⁵

x³ × x = x^3+1 = x⁴

x³ × x⁰ = x^3+0 = x³

*Note the quoeficents multiple each other, i.e:

3 × 2 = 6

3 × 4 = 12

3 × 1 = 3

so:

= 6x⁵ + 12x⁴ + 3x³

A right rectangular pyramid is shown below. Which of the following shapes cannot result from a cross section?​

Answers

Answer:

The cross section is a trapezoid.

Step-by-step explanation:

The system has ___________ solution(s). y = 2x + 6 4y = 8x + 24

Answers

Answer:

Step-by-step explanation:

4(2x + 6) = 8x + 24

8x + 24 = 8x + 24

infinite many solutions

There is a population of 15,500 bacteria in a colony. If the number of bacteria doubles every 234 hours, what will
che population be 936 hours from now?
bacteria

Answers

Answer:

2,48,000

Step-by-step explanation:

Initial population of bacteria = 15,500

Bacteria doubles after every 234 hours

So, after 0 (zero) hours, no of bacteria = 15,500

After 234 hours, no. of bacteria = 2(15,500) = 31,000

After 468 hours, no. of bacteria = 2(31,000) = 62,000 (2*234 = 468)

After 702 hours, no. of bacteria = 2(62,000) = 124,000 (3*234 = 702)

After 936 hours, no. of bacteria = 2(124000) = 2,48,000 (4*234 = 936)

help me this is very hard

Answers

Answer:

B. 60

Step-by-step explanation:

1. take the square root of 64

2. multiply 8*10 and 5*4

3. subtract

Square root of 64 is 8 so,

10*8 - 5*4

80 - 20 =

60

Find the sine of ZD.
F
2√15
D
2-√15
E

Answers

Answer:

[tex]{ \underline{ \underline{ \mathfrak{ \: answer : \: \: { \tt{ \sin(D) = \frac{ \sqrt{2} }{2} \: \: }} }}}}[/tex]

Step-by-step explanation:

[tex]{ \rm{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ [/tex]

Theta is Dopposite is 2sqrt(15)hypotenuse is h

[tex]{ \tt{h = \sqrt{ {(opposite)}^{2} + {(adjacent)}^{2} } }} \\ { \tt{h = \sqrt{ 2{(2 \sqrt{15}) }^{2} } }} \\ { \tt{h = \sqrt{2(4 \times 15)} }} \\ { \tt{h = \sqrt{120} }}[/tex]

Therefore:

[tex]{ \tt{ \sin(D) = \frac{2 \sqrt{15} }{ \sqrt{120} } }} \\ \\ { \tt{ \sin(D) = \frac{2 \sqrt{15} }{2 \sqrt{15 \times 2} } }} \\ \\ { \tt{ \sin(D) = \frac{1}{ \sqrt{2} } }} \\ \\ { \boxed{ \tt{ \sin(D) = \frac{ \sqrt{2} }{2} }}}[/tex]

Dusan says that ∆XYZ ~ ∆TUV because two pairs of angles are congruent. Is he correct? If not, why? Yes, he is correct. No, because two pairs of congruent angles cannot prove similarity. No, because the third angle measure cannot be determined. No, because there is only one set of congruent angles.

Answers

Answer:

No, because there is only one set of congruent angles.

Step-by-step explanation:

I took the instruction, and this was the right answer!

Answer:

D

Step-by-step explanation:

Please help asap brainliest included
3. What is the probability that a randomly selected student from your group is a 9th grader? (1 point)

4. What is the probability that a randomly selected student from your group prefers comedy? (1 point)

5. What is the probability that a randomly selected student does not prefer action? (1 point)

Answers

Answer:

1/43/83/4

Step-by-step explanation:

Question 3

P (9th grader) = Number of 9th graders / Total studentsP (9th grader) = 4/16P (9th grader) = 1/4

Question 4

P (comedy) = No. of comedy preferences / Total studentsP (comedy) = 6/16P (comedy) = 3/8

Question 5

P (Not action) = No. of non-action preferences / Total studentsP (Not action) = 16 - 4 / 16P (Not action) = 12/16P (Not action) = 3/4

A total of 249 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Answers

Answer:

83

Step-by-step explanation:

Solve for x. Enter your answer in interval
notation using grouping symbols.
x² + 2x ≥ 15

Answers

Answer:

[tex](x−3)(x+5) .....is.. the.. factorised.. form.. of.. the.. expression[/tex]

Step-by-step explanation:

[tex]x^2 + 2x > =15 \\x^2 + 2x - 15 > = 0 \\(x + 4)(x - 2) < 0 , \\{x + 4 < 0 and .x - 2 > 0} or {x + 4 > 0 ,\\and .x - 2 < 0} , \\{x < -4 and .x > 2} or {x > -4 and. x < 2},\\ Discard .x < -4 and. x > 2 because. it. has. no. solutions,\\ leaving .just x > -4 and .x < 2 , -4 < x < 2[/tex]

Martin has a bag of marbles. He removed 1 marble at random, recorded the color and then placed it back in the bag. He repeated this process several times and recorded his results in a table. Find the experimental probability of drawing green color.

Answers

Using it's concept, it is found that there is a 0.3 = 30% experimental probability of drawing green color.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

Researching the problem on the internet, it is found that 15 out of 12 + 10 + 15 + 13 = 50 trials resulted in a green marble, hence the probability is given by:

p = 15/50 = 0.3.

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HELP WITH PROB AND STATS

Use the given data to find the best predicted value of the response variable.

Six pairs of data yield r= 0.344 and the regression equation y = 5x + 2. Also, y = 18.3
What is the best predicted value of y for x = 5? Use a = 0.05.

Answers

Sub in x = 5 into the equation y = 5x + 2. If you do that you should get a y-value of about 27.

what is the positive solution of x²-36=5×​

Answers

Answer:

I'm assuming the x at the end is a variable

9, -4

Step-by-step explanation:

If we replace x with 9, we get 81-36=45 which is 45=45 so 9 is one solution.

If we replace x with -4, we get 16-36=-20 which is -20=20 so -4 is the other solution

So, the solutions are 9 and -4.

Hope this helped you! If there is a mistake in my answer, please tell me and I will correct it as soon as possible.

Make x the subject to this formula 4x + 3y =2

Answers

4x+3y=2

4x=2-3y

x= 2/4 - 3/4 y

x= 1/2- 3/4y

(x= 0.5 - 0.75y)

Answer:

[tex]\boxed{ \ \sf x=\dfrac{2-3y}{4} \ }[/tex]

Explanation:

[Given]

[tex]\sf \rightarrow 4x + 3y =2[/tex]

[Exchange Sides]

[tex]\sf \rightarrow 4x =2-3y[/tex]

[Divide both sides by 4]

[tex]\sf \rightarrow \dfrac{4x}{4} =\dfrac{2-3y}{4}[/tex]

[Simplify]

[tex]\sf \rightarrow x=\dfrac{2-3y}{4}[/tex]

2/5 of every person that attended the Oakland Athletics ball game received an A's ball cap.
If 23,400 people attended the game, how many received an A's ball cap?

Answers

Answer:

9360

Step-by-step explanation:

2/5 is 40%

40% of 23400 is 9360

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What mistake did Fatima make?Use the drop-down menus to explain her mistake and to find the number ofkilograms of rose petals left.First StepSecond StepThird Step0.4540.4520.5080.02+0.056- 0.0950.4520.5080.413Click the arrows to choose an answer from each menu.Fatima made her first mistake at the Choose...step.She incorrectly Choose...Fatima has Choose...Ykilogram of rose petals left. Rory is a 23-year-old single woman with no children who recently graduated from college with a degree in education and started working as a second-grade teacher. she commutes to work 20 miles round trip per day in a used, six-year-old volkswagen jetta she bought last year and lives in an apartment with two other roommates. she has the option of buying health insurance through work if she wants to. having graduated with $34,000 in student loan debt and $7,500 in credit card debt, she is trying to keep to a strict budget until she can pay off some of that debt. rory has asked you for advice on (1) what types of insurance she needs and (2) how she should decide on the coverage levels vs. monthly premium costs. give rory specific recommendations she can follow to minimize her financial risk but also keep a balanced budget. why is 64006 not a perfect square Read the excerpt from Blanca Flor.Don Ricardo (in full force and very angry). 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