The plant Herba inutilis is shown at right. Its branches develop according to a fixed timetable: Starting when it has reached the age of two weeks, a mature branch generates a new branch every week, by forming a fork at its end. Five weeks after sprouting, there are five branches. Add the sixth level to the diagram. How many branches will there be after ten weeks?

The Plant Herba Inutilis Is Shown At Right. Its Branches Develop According To A Fixed Timetable: Starting

Answers

Answer 1

The number of branches after 10 weeks can be found by adding the number of branches generated at each week from week 6 to week 10:  5 + 10 + 20 + 40 + 80 = 155 branches after 10 weeks.

How to determine how many branches will there be after ten weeks

To add the sixth level to the diagram, we need to start with the fifth level, which has 5 branches, and add a new level where each of these branches generates a new fork at its end.

So, at week 6, there will be 5 new branches added to the plant. At week 7, each of these 5 branches will generate a new fork at its end, resulting in 5 more branches. This process will continue for each subsequent week.

Therefore, the number of branches after 10 weeks can be found by adding the number of branches generated at each week from week 6 to week 10:

Week 6: 5 branches

Week 7: 5 × 2 = 10 branches

Week 8: 10 × 2 = 20 branches

Week 9: 20 × 2 = 40 branches

Week 10: 40 × 2 = 80 branches

So, there will be 5 + 10 + 20 + 40 + 80 = 155 branches after 10 weeks.

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Related Questions

Which is the best estimate for
14 1/5 - 2 5/6 ?
A) I0
B) 11
C) 12
D) 13

Answers

Answer: B

Step-by-step explanation: 14 1/5 - 2 5/6 =11 11/30

rounded is 11

Please help asap.
Why were Germans important to Texas and the impact of it?
I’ll give brainly.

Answers

Texans of German descent make up one of the largest cultural groups in the state. The 1848 war in Germany caused many to leave their homeland. Some German immigrants came to Texas hoping to have better lives, while others wanted to leave behind narrow beliefs of the rulers.

Kiran paid $54 for three tickets to go to a corn maze at the same rate what is the cost of two tickets to the maze

Answers

this is just an addition to the great reply above.

\(\begin{array}{ccll}\$&tickets\\\cline{1-2}54&3\\x&2\end{array}\implies \cfrac{54}{x}=\cfrac{3}{2}\implies 108=3x\implies \cfrac{108}{3}=x\implies \boxed{36=x}\)

Which of these triangle pairs can be mapped to each other using have reflections?

Which of these triangle pairs can be mapped to each other using have reflections?

Answers

Answer:

Unfortunately on this image we are only able to see a portion of the problem, could you send a better photo, and i will solve imidiatly, thank you!!!!!

Step-by-step explanation:

When the scale factor is 1, what is the ratio of the side length of the side opposite ∠A and the length of the hypotenuse?

Answers

when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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For every 10 children 4 wore glasses. There were 30 children. How many did not wear glasses?

Answers

Answer:

18

Step-by-step explanation:

If 4 out of 10 wore glasses, then 6 out of 10 did not wear classes.  This would be 60% or .6

.6x30 = 18

Helio's account has an annual interest rate of 3.3% compounded daily.What is the annual percentage yield for Helio's account?

Answers

Let the initial amount be $1 and use the rule of the compounded interest

\(A=P(1+\frac{r}{n})^{nt}\)

P = 1

r = 3.3% = 3.3/100 = 0.03

n = 365

t = 1

\(\begin{gathered} A=1(1+\frac{0.033}{365})^{365\times1} \\ A=1.033548998 \end{gathered}\)

Now find the annual rate using the percent of the increasing rule

\(P=\frac{N-O}{N}\times100\)

N is the new amount

O is the old amount

\(\begin{gathered} \text{Perc}\mathrm{}=\frac{1.033548998-1}{1}\times100 \\ \text{Perc}\mathrm{}=3.355 \end{gathered}\)

The annual percent is 3.355%

4/7
A piece of wire Im long is to be cut into 12 pieces of the same length. What is the length of each piece?

Answers

Answer:

8.33cm

Step-by-step explanation:

1m=100cm

Since the wire is to be cut into twelve pieces

100/12=8.33

8.33cm

if we are asked to leave in metre divide answer by 100

find the slope between the points (0,8) and (4,4)

Answers

Answer:

Slope=-1

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where (X1,y1)(0,8) and (X2,y2) (4,4)

Slope=8-4/0-4

=4/-4

=-1

So slope is -1

happy valentines day :)

Answers

Answer:

Thank you for the free point happy valentines day!

Step-by-step explanation:

when four coins are tossed simultaneously then what is the probability of getting two heads and two tails​

Answers

Answer:

50% chance

Step-by-step explanation:

4 * 50% = 2

find a formula for the nth partial sum of each series 4+(4/3)+(4/9) and use it to find the series’ sum of the series converges.

Answers

Answer:

We can see that:

a₀ = 4

a₁ = 4/3

a₂ = 4/9.

We easily can see that the n-th therm of this will be:

aₙ = 4/3^n.

Now, the denominator increases as n increases, then for a really large n, aₙ will tend asymptotically to zero. This means that this summation converges.

We can write this summation as:

4*∑(1/3)^n.

The sum for the first N-th therms is:

We know that for a summation:

1 + r + r^2 + r^3 + ... + r^N = (1 - r^(N + 1))/(1 - r)

4 + 4*(1/3) + 4*(1/3)^2 + ... + 4*(1/3)^N = 4*( 1 - (1/3)^(N + 1))/(1 - (1/3))

Now, for the complete sum we have that:

n = {0, 1, 2, ...}

We know that for a summation:

∑a*r^n

with n = {0, 1, ...}

the sum is = a/(1 + r).

in this case we have:

a = 4, r = 1/3.

Then the sum is:

S = 4/(1 - 1/3) = 4/(2/3) = 3*2 = 6

Cuantas Escuelas de administración hay ?

Answers

hay 20 escuelas de administración jaja ntc no se

A bank gives you a loan of 1,500,000 Baht to buy a house. The interest rate of the loan is 0.01% per day (Using 1 year = 365 days)

How much interest you pay after 10 years

Answers

Answer:

15.000 is cost so relate it with 265..hope it is help u.

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The table shows a proportional relationship between the number of skeins of yarn and the number of scarves made from the yarn.
Skeins of Yarn 4 8 14
Scarves 2 4 x
A knitter with 14 skeins of yarn can make
scarves.

Answers

Based on the provided proportional relationship, 14 skeins of yarn can make 7 scarves.

The data provided shows a proportional relationship between the number of skeins of yarn and the number of scarves made from the yarn. Proportional relationships refer to relationships between two variables where their ratios are equivalent. In order words, in a proportional relationship, one variable is always a constant value times the other. That constant is called the constant of proportionality (k). It is calculated as: k = y/x where y is the variable that changes due to change in x. Based on the information, k = 2/4 = 4/8 = 0.5.

Hence, the number of scarves made using 14 skeins of yarn is given by y = 0.5x. When x = 14, y = 0.5*14 = 7

Note: The question is incomplete. The complete question is attached.

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction

If the long hand of a clock is on 11 and the short hand is between 7 and 8, what is the time?​

Answers

Answer: the answer would be approximately 7:45 or 8:45

Step-by-step explanation:

the short hand is known for hours and the long hand is known for minutes the long hand is different than the short hand.

the short hands numbers is from 1-12 while the long hand numbers start from 5-60

hope this helps!

Area of a parallelogram = b•h
What is the base of a parallelogram with an area of 48 and a height of 6?

Answers

Answer:

area of parallelogram =b×h

48cm²=b×6cm

48cm²/6cm=b

8cm=cm

A ship is anchored off a long straight shoreline that runs north and south. From two observation points
miles apart on shore, the bearings of the ship are
and
. What is the distance from the ship to each of the observation points? Round each answer to the nearest tenth of a mile.

The distance from the north most ship to the observation is
miles.
The distance from the south most ship to the observation is
miles.

Answers

The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]


unitsize(1cm);


pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);


draw(O--N--A,Arrow);


draw(O--S--B,Arrow);


\(label("$52^\circ$", N + 0.3*dir(52), NE);\)


\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);


\(label("$x$", (N+A)/2, W);\)


\(label("$y$", (S+B)/2, E);\)


[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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David earns 8$ per hour. He works 40 hours each week. How much does he earn in 6 weeks?

Answers

Answer:

$1920

Step-by-step explanation:

40×8= 320

320×6= 1920

Hope this helps!! :)

$1920

8x40x6

8=dollars
40=hours each week
6=weeks

Help help hlep help help kenplease

Help help hlep help help kenplease

Answers

Answer:

$18 = 6 pounds

Step-by-step explanation:

If 1.5 pounds = $ 4.50

6 pounds = $4.50 × 4 = $18

Find the value of p.

-25 = -4p + 19

Answers

1. Move the like terms and change there signs

4p= 19+25

2. Add 19 and 25

4p= 44

3. Divide by 4

p= 11

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

if f(x)=5x^2+8x and g(x)=-2x^2+7 find (f+g)(x)

Answers

Answer:

\(\displaystyle{(f+g)(x)=3x^2+8x+7}\)

Step-by-step explanation:

Given both functions f(x) and g(x):

\(\displaystyle{f(x)=5x^2+8x}\\\\\displaystyle{g(x)=-2x^2+7}\)

Finding (f+g)(x), is the same as finding the sum of both functions, f(x) + g(x). Therefore:

\(\displaystyle{(f+g)(x) = f(x)+g(x)}\\\\\displaystyle{(f+g)(x)=(5x^2+8x)+(-2x^2+7)}\\\\\displaystyle{(f+g)(x)=5x^2+8x-2x^2+7}\\\\\displaystyle{(f+g)(x)=3x^2+8x+7}\)

how many millilmeters are in 3 gallons

Answers

Answer:

11,356 ml.....................

according to the internet, 11356235.4

factorise x³-4x²+x+6​

Answers

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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If you know the number of shares you've bought and the price per share, how would you calculate the total value of your investment?

Answers

Answer:Subtract the total purchase price from the current price of the stock then divide that by the original purchase price and multiply that figure by 100

Step-by-step explanation:

i think

The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1400. If the monthly interest rate is 1.3% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent. Do not use commas to separate numbers or dollar signs. For example, $5,678.00 should be entered as 5678.00.

Answers

9514 1404 393

Answer:

  $1409.10

Step-by-step explanation:

The interest is added to the unpaid balance to obtain the total balance.

  $700×1.3% + 1400 = $9.10 +1400 = $1409.10

What is the equation for the line in slope intercept form

What is the equation for the line in slope intercept form

Answers

Answer:

The equation is y = -4x + 5

Step-by-step explanation:

Looking at the graph, we can say that the y-intercept is 5. All we need to do now is to find the slope. I took two points (0, 5) and (3, -7)

We know that:

Slope formula = Rise/RunFormula = y = mx + b (m = slope; b = y-intercept)

Work

=> -12/3=> Slope = -4

Since the slope is -4, the value of 'm' must be -4.

Our equation = y = -4x + 5

Hence, the equation is y = -4x + 5

Hoped this helped.

\(BrainiacUser1357\)

Which inequality represents the situation described below?
The distance, d, is less than 200 miles.
A. d ≥ 200
B. d > 200
C. d ≤ 200
D. d < 200

Answers

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Help ASAP! i will give brainliest!

Help ASAP! i will give brainliest!
Help ASAP! i will give brainliest!
Help ASAP! i will give brainliest!

Answers

9514 1404 393

Answer:

-3/4a^3b^23.2·10^-1-0.1a^(n+1)

Step-by-step explanation:

To find the cube root, divide all of the exponents by 3. For a cube root, the sign is unchanged.

A) ∛(-27/64a^9b^6) = -∛(3^3/4^3·a^9·b^6) = -3/4a^3b^2

__

B) 9.6×10^-8 ÷ (3×10^-7) = (9.6/3)×10^(-8-(-7)) = 3.2×10^-1

__

C) ∛(-0.001a^(3n+3)) = -∛(0.1^3·a^(3n+3)) = -0.1a^(n+1)

Solve for the missing side using c =

Solve for the missing side using c =

Answers

Answer:

c=12.04

Explanation:

You can use the formula given: c=√a^2+b^2

c=√8^2+9^2=√64+81=√145=12.04

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