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Julie has a juice stand where she sells apple juice, orange juice, and carrot juice. She sells her cups of juice in two sizes: large and small. Draw a tree diagram showing the sample space of possible juice orders.

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Julie has a juice stand where she sells apple juice, orange juice, and carrot juice. She sells her cups of juice in two sizes: large and small. Draw a tree diagram showing the sample space of possible juice orders.

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Read the excerpt from Chapter 5 of Wheels of Change. These traits led commentators to worry that the differences between the sexes were being blurred, a fear that was reinforced as the four newest states—Wyoming, Colorado, Utah, and Idaho—granted women the right to vote in the 1890s. Would the bicycle help bring about a new kind of equality between men and women? Elizabeth Cady Stanton and her colleagues certainly hoped so. At any rate, the image of a female cyclist quickly became associated with efforts to win more rights for women. What conclusion does Macy draw in this synthesis of ideas? Women were granted the right to vote in four states as a direct result of the bicycle’s invention. Female cyclists were quickly becoming associated with efforts to win more rights for women. Stanton and her colleagues hoped women cyclists would join their fight for women’s rights. Wyoming, Colorado, Utah, and Idaho were home to the highest percentage of women cyclists.

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Female cyclists were quickly becoming associated with efforts to win more rights for women.

At the end of the passage, usually where a conclusion is stated, it says that the image of a female cyclist was becoming a symbol for women’s rights. The passage does not tell the reader anything about the percentage of women cyclists. While it does tell the reader about women being granted the right to voted, the connection between that and the bicycle is that it blurs the differences between the sexes. Both men and women were riding bicycles and they were both voting. There is also nothing in the passage about women cyclists as a group joining or not joining the women’s rights movement.

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If you draw a tree to show the number of ways to roll two 3-sided dice, how many possibilities would there be?

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If you draw a tree to show the number of ways to roll two 3-sided dice, how many possibilities would there be?

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During the Renaissance, many artists were trying to draw the human body more accurately. Artists like Leonardo studied the skeleton and musculature (the muscle system) to make their paintings and sculptures of the human body more realistic. Leonardo also studied birds and seashells. He conducted in-depth studies of human anatomy, much as doctors did. He filled notebooks with detailed drawings of bones, muscles, and internal organs Which sentence is not part of the focus? A. Artists like Leonardo studied the skeleton and musculature… B. He filled notebooks with detailed drawings… C. He conducted in-depth studies of human anatomy, much as doctors did. D. Leonardo also studied birds and seashells.

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During the Renaissance, many artists were trying to draw the human body more accurately. Artists like Leonardo studied the skeleton and musculature (the muscle system) to make their paintings and sculptures of the human body more realistic. Leonardo also studied birds and seashells. He conducted in-depth studies of human anatomy, much as doctors did. He filled notebooks with detailed drawings of bones, muscles, and internal organs Which sentence is not part of the focus? A. Artists like Leonardo studied the skeleton and musculature… B. He filled notebooks with detailed drawings… C. He conducted in-depth studies of human anatomy, much as doctors did. D. Leonardo also studied birds and seashells.

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Discuss how colleges might use this process of socialization. You can draw on your own experience

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Answered by answersmine AT 22/10/2019 – 04:13 AM

They want to know if you are willing to talk to other people .Also if you are a socialist then you could be given a position in your job as a network lead. They know how you are and what you can deal with.

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You put the names of all the students in your class in a paper bag. There are 14 boys and 16 girls. If you draw a name at random, what is P(boy’s name)?

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You put the names of all the students in your class in a paper bag. There are 14 boys and 16 girls. If you draw a name at random, what is P(boy’s name)?

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A box has 6 beads of the same size, but all are different colors. Tania draws a bead randomly from the box, notes its color, and then puts the bead back in the box. She repeats this 3 times. What is the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again?

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Ahemmm having x-intercepts of -3 and -5.. ..well, that simply means, -3 and -5 are roots or solutions or zeros of the equation

it namely means x = -3 and x = -5, an x-intercept is when the graph touches the x-axis, at that point, the y-intercept is 0, so the point is (-3, 0) and (-5, 0)

if the roots are -3, and -5, then

bf begin{cases}
x=-3implies x+3=0implies &(x+3)=0\
x=-5implies x+5=0implies &(x+5)=0
end{cases}\\
-------------------------------\\
(x+3)(x+5)=0implies (x+3)(x+5)=yimplies x^2+8x+15=y

if you have the zeros/x-intercepts/solutions of the polynomial, all you have to do is, get the factors, as above, and get their product, to get the parent original polynomial.

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What conclusion did rutherford draw from this experiment?

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25) Answer is: less metallic and more nonmetallic.

Electronegativity increases from left to right across a period, atoms have tendency to attract electrons.

Electronegativity (χ) is a property that describes the tendency of an atom to attract a shared pair of electrons.

26) Answer is: radioisotope.

Radioisotope has an unstable atomic nucleus and emit energy and particles when it changes to a more stable form.

Francium (Fr) is element with atomic number 87 (87 protons and 87 electrons).

27) Answer is: boils.

Boiling is the temperature at which the vapour pressure of the liquid is equal to the pressure exerted on the liquid by the surrounding atmosphere.

The Celsius scale was based on 0°C for the freezing point of water and 100°C for the boiling point of water at 1 atm pressure.

28) Answer is: endothermic.

There are two types of reaction:  

1) endothermic reaction (chemical reaction that absorbs more energy than it releases, ΔH>0).

2) exothermic reaction (chemical reaction that releases more energy than it absorbs).  

For example, the breakdown of ozone is an endothermic process. Ozone has lower energy than molecular oxygen (O₂) and oxygen atom, so ozone need energy to break bond between oxygen atoms.  

29) Answer is: kinetic.

The average kinetic energy of molecules depends on the temperature.  

As temperature increases, molecules gain more energy from surrounding and move faster.  

Kinetic energy (standard unit is the joule J) depends on speed of the molecule.  

Solid gains kinetic energy to become a liquid and then becomes a gas.

30) Answer is: alpha particles.

This was famous Rutherford’s Gold Foil Experiment: he bombarded thin foil of gold with positive alpha particles.

Rutherford observed the deflection of alpha particles on the photographic film.  

Alpha particles are helium atom particles, consist of two protons and two neutrons.  

According to Rutherford model of the atom: atoms have their charge concentrated in a very small nucleus.  

31) Answer is: highest.

For example, calcium oxide.

Calcium oxide (CaO) has ionic bonds between calcium cations (Ca²⁺) and oxygen anions (O²⁻).

Because it has strong ionic bonds, it has high melting point (around 2600°C).

Ionic bond is the electrostatic attraction between oppositely charged ions (cations and anions).

32) Answer is: a scientific model.

A scientific model is a representation of an idea, an object, a process or a system that is used to describe and explain phenomena that cannot be experienced directly.

33) Answer is: the superscript is mass number and the subscript is atomic number.

Atomic number(Z) is the number of protons, which is characteristic of a chemical element..

Mass number (A) is the total number of protons and neutrons in a nucleus.

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What is the probability of drawing a spade from a standard deck of cards on a second draw, given that a spade was drawn on the first draw and not replaced? twelve over fifty one one over fifty two one over fifty one thirteen over fifty two?

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Answer:

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

So, AD=AB=44.8 cm

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=  x+y=84.8 …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

H^2=P^2+B^2

(44.8)^2=x^2+z^2  ………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

H^2=P^2+B^2

(72)^2=y^2+z^2 …………[3]

Subtract [2] and [3]

(72)^2-(44.8)^2=y^2+z^2-x^2-z^2

5184-2007.04=(x+y)(x-y)

3176.96=(84.8)(x-y)

37.464=x-y ……….[4]

Add equation [1] and [4], to get values of x and y

x+y+x-y=84.8+37.464

2x=122.264

x=61.132

Substitute x in [1]

x+y=84.8

61.132+y=84.8

y=23.668

Substitute value of x in equation [2], to get z

(44.8)^2=x^2+z^2

(44.8)^2=(23.668)^2+z^2

2007.04-560.174224=z^2

z=sqrt{1446.865776}

z=38.06

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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Natalia began to draw a diagram to compare bases and acids. Which label should be written in the area marked X? conducts electric current produces OH– ions tastes sour reacts with carbonates

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Answer:

1) Water has very high specific heat.

2) It expands when it freezes

3) ability to dissolve in ionic substances

4) Water molecules at the surface experience fewer hydrogen bonds than water molecules within the liquid.

Explanation:

1) Water molecules due to their high specific heat , undergo relatively less increase in temperature after absorbing heat. So they prevent their adjoining area to experience sharp increase in temperature.

2) Water is an example which expands on freezing. In it , large spaces are left between molecules when it cools. It happens because hydrogen bonds prevent any two molecules to come very close thereby  creating gaps. This gap is filled up when ice melts , which results in overall reduction in volume of water.

3) Uneven distribution of charge results in water molecules becoming polar in nature . A polar substance  can be dissolved in polar solvents only.

4) It is due to property of surface tension. Property  of surface tension results due to molecules of water near the surface experiencing a  net downward  force due to hydrogen bonds . It is due to fewer hydrogen bonds made by them.

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9. You have a bag with 3 red marbles, 4 blue marbles, and 5 green marbles. You draw 2 marbles out of the bag. Without replacing the first marble drawn from the bag, find each of the following probabilities. P(blue, then blue) P(red, then green)

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Answer:

C. Yes, because the population values appear to be normally distributed.

Step-by-step explanation:

Given is a graph which shows the distribution of values of a population

The graph has the following characteristics

i) Bell shaped

ii) symmerical about mid vertical line

iii) Unimodal with mode = median =mean

iv) As x deviates more from the mean probability is decreasing and also curve approaches asymptotically the x axis

Hence we find that the curve is a distribution of normal

Option C is right

C. Yes, because the population values appear to be normally distributed.

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Draw a line with the given slope through the given point. R(-1, 2), slope = -1/3 D(2, 4), slope = 2 H(-5, -3), slope = 2/7

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Answer: undefined

Step-by-step explanation:

The slope of a line passing through two points P(a,b) and Q(c,d) is given by :-

text{Slope}=dfrac{d-b}{c-a}

The given points :  (-4, 3) and (-4, 7)

Then , the  slope of a line passing through two points  (-4, 3) and (-4, 7) is given by :-

text{Slope}=dfrac{7-3}{-4-(-4)}=dfrac{4}{-4+4}\\Rightarrowtext{Slope}=dfrac{4}{0}\\Rightarrow text{Slope}=infty

Since , the parallel have the same slope  .

Therefore, the slope of the line that is parallel to line m is undefined.

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Draw a line segment and copy it to the right of the original segment and explain your steps and justify each step used.

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The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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I NEED HELP I WILL RATE BRAINLIEST!!!! Can someone help me by giving me an example of what it would want me to draw?

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The given function is:

P = 120 i / (i^2 + i + 9)

or

P = 120 i (i^2 + i + 9)^-1

The maxima point is obtained by taking the 1st
derivative of the function then equating dP / di = 0:

dP / di = 120 (i^2
+ i + 9)^-1 + (-1) 120 i (i^2 + i + 9)^-2 (2i + 1)

setting dP / di =0 and multiplying whole equation by (i^2
+ i + 9)^2:

0 = 120 (i^2 + i + 9) – 120i (2i + 1)

Dividing further by 120 will yield:

i^2 + i + 9 – 2i^2 – i = 0

-i^2 + 9 =0

i^2 = 9

i = 3      (ANSWER)

Therefore P is a maximum when i = 3

Checking:

P = 120 * 3 / (3^2 + 3 + 9)

P = 17.14

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Draw the structure for cis-2,3-dibromo-2-hexene.

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Answer :  The correct representation of Lewis-dot structure for 5A element, Arsenic is shown below.

Lewis-dot structure : It shows the bonding between the atoms of a molecule and it also shows the unpaired electrons present in the molecule.

The number of valence electrons shown by ‘dot’.

The given molecule is, Arsenic

The atomic number of arsenic = 33

As we know that the number of electrons is equal to the number of atomic number.

So, the number of electrons = 33

The electronic configuration of arsenic is, [Ar]3d^{10}4s^24p^3

The number of valence electrons present in arsenic = 5

The Lewis-dot structure of arsenic is shown below.

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An electric oven has a resistance of 10.0 Ω and a voltage of 220 V. How much current does it draw? 22 A 2.2 A 220 A 2,200 A

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The equation for how temperature changes the resistance R is: 

R=R₀(1+α(T-T₀)), where R₀ is the resistance at T₀=20°C, T is the temperature for which we want to calculate the resistance and α is the temperature coefficient for resistance. 

The resistance of the copper wire increases by 18% or by 0.18, so the new value for the resistance is R=1.18*R₀.

T₀=20°C
=0.0068
R=1.18*R₀

Now we need to input that into the equation for resistance change and solve for temperature T.  

1.18R₀=R₀(1+α(T-20)), R₀ cancels out,

1.18=1+α(T-20),

1.18-1=α(T-20), we divide by α,

0.18/α=T-20, we put 20 on the left side,

26.47+20=T

T=46.47°C

So the temperature on which the resistance of copper wire will increase by 18% is T=46.47°C. 

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James is hosting a game show where a contestant has to draw a ball that is one of four colors from a pot. Each day, a ball of a particular color will win. To mix up the possibilities, James decides to keep unequal number of balls for each color. There will be as many black balls as red balls. Green balls and red balls should add up to 10. There should be 10 more blue balls than red balls. A math expert tells James that he should have at least 2,304 possible combinations to provide sufficient difficulty. Identify the values for the number of red balls the pot should have to ensure that James’ condition is met.

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Answer:

Here,

s represents the cost of soup and c represents the number of can,

Also, s varies directly with c,

⇒ s ∝ c

⇒ s = kc —–(1)

Where, k is the proportionality constant,

Given, when c = 4, s = 3,

From equation (1),

3=k(4)

implies k=frac{3}{4}

Again from equation (1),

s=frac{3}{4}c

Let x-axis represents the number of can and y-axis represents the cost of soup,

For graphing :

s=frac{3}{4}c is a straight line

Where, s ≥ 0 and c ≥ 0 ( cost and number of cans can not be negative )

When, c = 0, s = 0,

When c = 4, s=frac{3}{4}times 4=3

When c = 8, s=frac{3}{4}times 8=6

When c = 16, s=frac{3}{4}times 16=12

Thus, the line s=frac{3}{4}c  is passing from the points (0,0), (4,3), (8,6) and (16,12).

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What makes Mercutio finally draw? A. Tybalt's insults B. Romeo's apparent cowardice C. Benvolio's chiding D. Tybalt's decision to draw his sword

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What makes Mercutio finally draw? A. Tybalt’s insults B. Romeo’s apparent cowardice C. Benvolio’s chiding D. Tybalt’s decision to draw his sword

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What was Tecumseh’s main goal in working with the British? (A) to divide the attention of American soldiers (B) to draw the United States into the War of 1812 (C) to ensure access to British imports (D) to protect American Indian lands from white settlement

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-Munich Agreement — an agreement that allowed Germany to take control of the German-speaking areas in Czechoslovakia
.

The Munich Agreement was approved and signed during the night of September 30, 1938 by the heads of government of the United Kingdom, France, Italy and Germany, with the aim of solving the Sudeten Crisis.

-Pact of Steel — an agreement signed by Italy and Germany to strengthen their military and political relationship
.

The Pact of Steel was a military agreement signed on May 22, 1939 in Berlin, between the Ministers of Foreign Affairs Galeazzo Ciano for the Kingdom of Italy and Joachim von Ribbentrop for Germany, in which the mutual support in case of war was signed.

-Lend-Lease Act — an act that allowed the United States to supply military and other goods to Britain
.

The Lend-Lease Act was a program under which the United States began to supply food, oil and military equipment to the United Kingdom, to the government in exile of Free France, to the Republic of China and later to the Soviet Union and other allied nations between 1941 and August 1945.

-Tripartite Pact — an alliance between Italy, Japan, and Germany that formalized them as the Axis powers.

The Tripartite Pact was signed in Berlin on September 27, 1940 by Saburo Kurusu, Adolf Hitler and Galeazzo Ciano, representing the Empire of Japan, Nazi Germany and the Kingdom of Italy, respectively. This pact constituted a military alliance between these nations, and officially formed the Axis Powers, opposed to the Allied Forces in the Second World War.

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In the diagram, AB←→ is parallel to CD←→. Which conclusion can you draw by applying the Vertical Angles Theorem to the diagram? ∠BAE≅∠ABE ∠AEB≅∠CED ∠BAE≅∠EDC ∠ABE≅∠EDC

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In the diagram, AB←→ is parallel to CD←→. Which conclusion can you draw by applying the Vertical Angles Theorem to the diagram? ∠BAE≅∠ABE ∠AEB≅∠CED ∠BAE≅∠EDC ∠ABE≅∠EDC

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What did the triangle shirtwaist copmany fire of 1911 draw national attention too

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What did the triangle shirtwaist copmany fire of 1911 draw national attention too

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While looking at a cell under a microscope, a scientist is able to see a biological molecule. This molecule is a nucleic acid with double strands and contains the nitrogenous bases adenine, thymine, cytosine, and guanine. Based on this information, what conclusion can the scientist draw regarding this nucleic acid

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While looking at a cell under a microscope, a scientist is able to see a biological molecule. This molecule is a nucleic acid with double strands and contains the nitrogenous bases adenine, thymine, cytosine, and guanine. Based on this information, what conclusion can the scientist draw regarding this nucleic acid

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Alonzo wants to draw a shape with the following condition. the shape has three sides the shape has only one line symmetry the line of symmetry is vertical

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underbrace{(-3e^xsin y+3y)}_{M(x,y)},mathrm dx+underbrace{(3y-3e^xcos y)}_{N(x,y)},mathrm dy=0

You have partial derivatives

M_y=-3e^xcos y+3
N_x=-3e^xcos y

which are not equal, so the equation is not exact.

– – –

In case you meant to write

N(x,y)=3x-3e^xcos y

the equations would be exact, since

N_x=3-3e^xcos y

and in this case the ODE would be exact. I don’t suppose it would hurt to demonstrate how to proceed with solving the ODE…

We’re looking for a solution of the form F(x,y)=C, which means that upon differentiating we have

F_x,mathrm dx+F_y,mathrm dy=0iff M(x,y),mathrm dx+N(x,y),mathrm dy=0

which is to say that we can find F by integrating M and N.

F_x=Mimplies F=displaystyleint M,mathrm dx
F=displaystyleint(-3e^xsin y+3y),mathrm dx
F=-3e^xsin y+3xy+f(y)

Differentiating with respect to y, we have

N=F_y
-3e^xcos y+3x=3x-3e^xcos y+f'(y)
0=f'(y)
implies f(y)=C

Thus the general solution (again, assuming you made a typo) would be

F(x,y)=-3e^xsin y+3xy+C=C

and since both Cs can be treated as arbitrary constants,

F(x,y)=-3e^xsin y+3xy=C

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Alexandra drops an egg from 30 m above the ground to hit Vanessa on the head. If Vanessa stands 3.5 meters tall. How fast is the egg moving when it strike her head? (Hint: Draw a picture and you will see why you have to consider her height and find the time first!)

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Angular momentum is given by the length of the arm to the object, multiplied by the momentum of the object, times the cosine of the angle that the momentum vector makes with the arm. From your illustration, that will be: 
L = R * m * vi * cos(90 – theta) 

cos(90 – theta) is just sin(theta) 
and R is the distance the projectile traveled, which is vi^2 * sin(2*theta) / g 

so, we have: L = vi^2 * sin(2*theta) * m * vi * sin(theta) / g 

We can combine the two vi terms and get: 

L = vi^3 * m * sin(theta) * sin(2*theta) / g 

What’s interesting is that angular momentum varies with the *cube* of the initial velocity. This is because, not only does increased velocity increase the translational momentum of the projectile, but it increase the *moment arm*, too. Also note that there might be a trig identity which lets you combine the two sin() terms, but nothing jumps out at me right at the moment. 

Now, for the first part… 

There are a few ways to attack this. Basically, you have to find the angle from the origin to the apogee (highest point) in the arc. Once we have that, we’ll know what angle the momentum vector makes with the moment-arm because, at the apogee, we know that all of the motion is *horizontal*. 

Okay, so let’s get back to what we know: 

L = d * m * v * cos(phi) 

where d is the distance (length to the arm), m is mass, v is velocity, and phi is the angle the velocity vector makes with the arm. Let’s take these one by one… 

m is still m. 
v is going to be the *hoizontal* component of the initial velocity (all the vertical component got eliminated by the acceleration of gravity). So, v = vi * cos(theta) 
d is going to be half of our distance R in part two (because, ignoring friction, the path of the projectile is a perfect parabola). So, d = vi^2 * sin(2*theta) / 2g 

That leaves us with phi, the angle the horizontal velocity vector makes with the moment arm. To find *that*, we need to know what the angle from the origin to the apogee is. We can find *that* by taking the arc-tangent of the slope, if we know that. Well, we know the “run” part of the slope (it’s our “d” term), but not the rise. 

The easy way to get the rise is by using conservation of energy. At the apogee, all of the *vertical* kinetic energy at the time of launch (1/2 * m * (vi * sin(theta))^2 ) has been turned into gravitational potential energy ( m * g * h ). Setting these equal, diving out the “m” and dividing “g” to the other side, we get: 

h = 1/2 * (vi * sin(theta))^2 / g 

So, there’s the rise. So, our *slope* is rise/run, so 

slope = [ 1/2 * (vi * sin(theta))^2 / g ] / [ vi^2 * sin(2*theta) / g ] 

The “g”s cancel. Astoundingly the “vi”s cancel, too. So, we get: 

slope = [ 1/2 * sin(theta)^2 ] / [ sin(2*theta) ] 

(It’s not too alarming that slope-at-apogee doesn’t depend upon vi, since that only determines the “magnitude” of the arc, but not it’s shape. Whether the overall flight of this thing is an inch or a mile, the arc “looks” the same). 

Okay, so… using our double-angle trig identities, we know that sin(2*theta) = 2*sin(theta)*cos(theta), so… 

slope = [ 1/2 * sin(theta)^2 ] / [ 2*sin(theta)*cos(theta) ] = tan(theta)/4 

Okay, so the *angle* (which I’ll call “alpha”) that this slope makes with the x-axis is just: arctan(slope), so… 

alpha = arctan( tan(theta) / 4 ) 

Alright… last bit. We need “phi”, the angle the (now-horizontal) momentum vector makes with that slope. Draw it on paper and you’ll see that phi = 180 – alpha 

so, phi = 180 – arctan( tan(theta) / 4 ) 

Now, we go back to our original formula and plug it ALL in… 

L = d * m * v * cos(phi) 

becomes… 

L = [ vi^2 * sin(2*theta) / 2g ] * m * [ vi * cos(theta) ] * [ cos( 180 – arctan( tan(theta) / 4 ) ) ] 

Now, cos(180 – something) = cos(something), so we can simplify a little bit… 

L = [ vi^2 * sin(2*theta) / 2g ] * m * [ vi * cos(theta) ] * [ cos( arctan( tan(theta) / 4 ) ) ] 

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Can you please make a model for this problem? [ Just use a site for free sketching and take a screenshot or draw one and take a picture ] PLEASE DO QUICKLY!

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According to the problem, Drones have just mother & no fathers.
Having said that it become easy to solve the problem:

a. Based on this information, how many parents will a drone have? 1

b. How many grandparents will a drone have? 2

c. 1)How many great-grandparents, 3
    2)great-great-grandparents, 5
    3)great-great-great-grandparents will a drone have, 8

d. Write the numbers together, and determine what type of sequence they form:
1,2, 3, 5, 8 (notice that the 3rd term = the sum of the preceding numbers 3=1+2,  5=3+2, 8= 5+3) So it’s a Fibonacci sequence

e. Write the sequence using a recursive function: a(n) = a(n-2)+a(n-1)

f. Use the Internet to research: Do it & you will find several related facts

g. In your research, what famous number …
    Let’s take again the Fibonacci sequence:
     1, 2, 3, 5, 8, 13, 21, 34, …
     Now let’s evaluate the ratio between 2 consecutive number:
      3/2 =1.5
      5/3=  1.666
      8/5 =  1.6
      13/8 = 1.625
      21/13 =1.615
      34/21 = 1.619
This ratio tends to be 1.618 which is calle the Golden Ratio 

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