(p^2/(y-p)^y)-(2p/(y-p)^y-1)+(1/(y-p)^y-2))

Answers

Answer 1
Hope this helps ……..
(p^2/(y-p)^y)-(2p/(y-p)^y-1)+(1/(y-p)^y-2))

Related Questions

What is the slope of a line that is perpendicular to the line y=2x+3?

Answers

Answer: -1/2

Step-by-step explanation: whenever a line is perpendicular you take the opposite reciprocal of the current slope.

Hello!

Perpendicular lines have slopes that are opposite reciprocals.

It means we take a number, flop it over and then make it negative.

So if we have 2, we flop it over:

\(\frac{1}{2}\)

Then, we make it negative:

\(-\frac{1}{2}\)

That is the slope. Hope it helps

If you have any query, please ask me! :)

~A forlorn girlie

\(MagicalNature\)

an bag contains 4 pink balls, 9 purple balls, and 2 white balls. three balls are selected, one after the other, without replacement. find the probability that all three balls are purple.

Answers

The probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

To find the probability that all three balls are purple, we need to use the formula for the probability of the intersection of three events:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B)

where A, B, and C are the events of drawing a purple ball from the bag on the first, second, and third draws, respectively.

The probability of drawing a purple ball on the first draw is:

P(A) = number of purple balls / total number of balls = 9 / 15

After drawing a purple ball on the first draw, there are now 8 purple balls left in the bag out of a total of 14 balls, so the probability of drawing a purple ball on the second draw, given that a purple ball was drawn on the first draw, is:

P(B|A) = number of purple balls left / total number of balls left = 8 / 14

After drawing two purple balls, there are now 7 purple balls left in the bag out of a total of 13 balls, so the probability of drawing a purple ball on the third draw, given that two purple balls were drawn on the first two draws, is:

P(C|A and B) = number of purple balls left / total number of balls left = 7 / 13

Therefore, the probability of drawing three purple balls in a row is:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B) = (9 / 15) x (8 / 14) x (7 / 13) = 0.1429 or approximately 14.29%

So, the probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

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4.2 Puzzle Time
What Did The Wall Say To The Bookcase?

Answers

"He said he thic," the wall says to the bookcase.

What about the Puzzle Time?A mathematical or numerical puzzle is one that requires strong mathematical reasoning, thought, or consideration to solve. Mathematics is the study of abstract concepts such as numbers, shapes, quantity, space, and change. Young children can investigate key early math concepts such as shapes, sizes, and how and where one puzzle piece fits with another to form pictures or designs using puzzles. Spatial reasoning is required for this type of math. Number puzzles follow a set of rules; you must first figure out the pattern before answering the puzzle.

Therefore, "He said he thic," is the correct answer.

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questions in photo pls help me its due tomorrow.

questions in photo pls help me its due tomorrow.
questions in photo pls help me its due tomorrow.

Answers

Step-by-step explanation:

Hey there!

Given;

\( {2}^{4x - 1} =32 \)

\( {2}^{4x} . {2}^{ - 1} = {2}^{5} \)

\( {2}^{4x} . \frac{1}{2} = {2}^{5} \)

\( {2}^{4x} = {2}^{5} . {2}^{1} \)

\( {2}^{4x} = {2}^{6} \)

\(4x = 6\)

\(x = \frac{6}{4} \)

\(x = \frac{3}{2} \)

7.)

\( \sqrt{x} - 3 = 7\)

\( \sqrt{x} = 7 + 3\)

\(( { \sqrt{x}) }^{2} = {(10)}^{2} \)

X= 100

8.)

\(( {x + 1)}^{2} = 81\)

\((x + 1) = \sqrt{81} \)

\(x + 1 = \sqrt{ {9}^{2} } \)

\(x + 1 = 9\)

\(x = 9 - 1\)

X=8

Hope it helps...

How can I make this, It says It was 15 mitues to get to her grandmothers house. 15 mintues is also 1/4 of an hour. into one of these miles/hours = ? mph
I know it's confusing but PLEASE help it's due by today!!


⚠WARNING⚠ Links and personal info, like your age, WILL BE REPORTED

Answers

I think you need how far she traveled as well if she went one mile then it’s 4 miles an hour

Jordan rides a bike at 8&2/3 mph. How many miles will he bike in 3 hours and 6 mins?

Answers

The distance Jordan will bike in 3 hours and 6 minutes is approximately 28.33 miles.

In order to find the distance that Jordan will bike in 3 hours and 6 minutes, we need to use the formula;distance = speed × timeGiven that Jordan rides a bike at 8&2/3 mph, we convert the speed into an improper fraction.8&2/3 = 8 + 2/3 = 24/3 + 2/3 = 26/3 mphSubstituting the values given into the formula;distance = 26/3 × 3.1 (3 hours and 6 minutes converted to hours)= 26/3 × 3 1/17= 26/3 × (52/17)= 28.33 miles (approx.)

Therefore, Jordan will bike approximately 28.33 miles in 3 hours and 6 minutes.

Given that Jordan rides a bike at 8&2/3 mph, we can calculate how many miles he will bike in 3 hours and 6 minutes by using the formula;distance = speed × timeThe first step is to convert the speed given into an improper fraction.8&2/3 = 8 + 2/3 = 24/3 + 2/3 = 26/3 mphTo find the distance that Jordan will bike in 3 hours and 6 minutes, we need to convert the time given into hours.3 hours and 6 minutes is equivalent to 3.1 hours (We divide the minutes by 60 to convert them into hours; 6/60 = 0.1).Substituting the values given into the formula;distance = 26/3 × 3.1 (3 hours and 6 minutes converted to hours)=\(26/3 × 3 1/17= 26/3 × (52/17)= 28.33 miles\)(approx.)

Therefore, Jordan will bike approximately 28.33 miles in 3 hours and 6 minutes.

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Audrey is 4 years younger than her husband. Their total age is 154. What are their ages?​

Answers

Answer: Audrey is 75 And husband is 79

Step-by-step explanation: A = H - 4

A + H = 154

a certain corner of a room is selected as the origin of a rectangular coordinate system. if a fly is crawling on an adjacent wall at a point having coordinates (1.5, 1.3), where the units are meters, what is the distance of the fly from the corner of the room?

Answers

The distance formula to get the distance of the fly from the corner of the room in meters is 1.985 meter.

Distance formula -

The distance formula is given by the equation -

\(d=\sqrt{ (x2-x1)^{2} +(y2-y1)^{2} \\\)

\(where , (x_1, x_2)\) and \((y_1,y_2)\)  are two given points.

Apply the distance formula to get the distance of the fly from the corner of the room in meters.

Now,

\(x_1 ,y_1\) are form the origin,

Given:

\((x_2,y_2) =(1.5,1.3)\)

By using the equation ,

\(d=\sqrt{ (x2-x1)^{2} +(y2-y1)^{2} \\\)

\(\\d = \sqrt[2]{(1.5^{2} -0^{2})+ (1.3^{2}-0^{2} ) }\)

\(d=\sqrt{(2.25+1.69)\\\\d=\sqrt{\frac{225}{100} +\frac{169}{100} } \\d=\sqrt{\frac{394}{100} } \\d=\frac{\sqrt{394} }{10} \\\\\)

Root value of 394,

\(\sqrt{394}\) = 19.85

\(d= \frac{19.85}{10} \\\\d=1.985\) metre.

Therefore, the distance formula to get the distance of the fly from the corner of the room in meters is 1.985

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The graph below shows the time Andrea spent reading one day. Write a few sentences to describe the relationship between the time Andrea spent reading and the number of pages she read.

The graph below shows the time Andrea spent reading one day. Write a few sentences to describe the relationship

Answers

Answer:

the more pages she read, the more time she read for.

Step-by-step explanation:

How do I solve this equation and check the solutions?

How do I solve this equation and check the solutions?

Answers

Answer:

10+√3=4x²

Step-by-step explanation:

Answer:

{12}

Step-by-step explanation:

isolate the radical expression

\(\sqrt{3x} = x-6\)

raise both sides to the index of the radical in this case 2

\((\sqrt{3x} )^{2} = (x-6)^2\)

\(3x = (x-6)^2\)

foil the right hand side or multiply (x-6)(x-6)

\(3x = x^{2} -6x-6x+36\)

subtract 3x from both sides and combine like terms

\(0=x^{2} -15x+36\)

factor

\(0=(x-12)(x-3)\)

set each factor equal to zero and solve for x

x - 12 = 0 and x - 3 = 0

     x = 12 and     x  = 3

Check each answer by plugging them individually into the original equation if the come out true they are a solution.

Check :

\(\sqrt{3(12)}+10=12+4\\\sqrt{36}+10 = 8\\6+10 = 16\\16=16\)           \(\sqrt{3(3)}+10=3+4\\\sqrt{9}+10=7\\3+10=7\\13\neq 7\)

So the only solution is 12.

Find M a

A.
49
B.
35
C.
95
D.
275

Find M aA.49B.35C.95D.275

Answers

Answer:

85

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

A + B+ C = 180

A +72+ 23 = 180

Combine like terms

A + 95  = 180

Subtract  95  from each side

A +95-95 = 180-95

A =85

You start at (7, 10). You move right 2 units and down 4 units. Where do you end?

Answers

The answer to your question is (9,6).
You start at (7, 10). You move right 2 units and down 4 units. Where do you end?

For GJ in triangle GHJ, what is the corresponding segment in similar triangle HIJ?



For GJ in triangle GHJ, what is the corresponding segment in similar triangle HIJ?

Answers

IJ

How?

In triangle GHJ <H is right angle

So GJ is the hypotenuse.

Now

in triangle HIJ

<H=90°

IJ is the hypotenuse

So option A is correct

The corresponding segment for GJ in triangle GHJ in similar triangle HIJ is,  'JI'.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

⇒ Δ GHJ ≈ Δ HIJ

By the figure, we have;

In ΔGHJ, Side GJ is opposite side of the right angle.

And, In Δ JHI, Side JI is opposite side of the right angle.

Hence, The side JI in Δ JHI is corresponding segment in similar triangle GHJ.

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In your own words, explain the discriminant test on page 600 in your ebook. Use the discriminant test to decide whether the equation represents a parabola, ellipse or a hyperbola and explain why you know this is true. 2 х 4xy + 3x + 25y – 6 = 0

Answers

Using the discriminant test to decide what the equation represents, we know that it represents a Hyperbola.

How does it represent a hyperbola ?

The discriminant is a value that can be calculated from the coefficients of the quadratic equation that represents the conic section. The value of the discriminant tells us whether the conic section is a parabola, an ellipse, or a hyperbola.

To use the discriminant test, we first need to write the quadratic equation in standard form. The equation 2x + 4xy + 3x + 25y – 6 = 0 can be rewritten in standard form as follows:

(2x + 3)(y + 2) = 6

The discriminant is:

b² - 4ac

Using the equation once more:

= 3²- 4(2)(-6)

= 9 + 48

= 57

Since the discriminant is greater than zero, we know that the conic section is a hyperbola.

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select the appropriate formula for the surface area of the given figure

select the appropriate formula for the surface area of the given figure

Answers

Answer:

The answer is A

Step-by-step explanation:

This figure is a cylinder and the surface area formula of a cylinder is 2 pi rh + 2pi r^2

Find the test average for test grades or 80, 90, 85, 96.?​

Answers

Answer:

87.75 or 88

Step-by-step explanation:

To find the average you add the variables together

80+90+85+96=351

And then you take that number and divide by how many variables there are

351÷4=87.75 and you can round up to 88 if you want.

Hope this help!

What is m∠BCD? A. 82 degrees B 168 degrees C. 192 degrees D. 220 degrees

What is mBCD? A. 82 degrees B 168 degrees C. 192 degrees D. 220 degrees

Answers

Answer:

m∠BCD = 82°

Option A

Step-by-step explanation:

The opposite angles of quadrilateral inscribed in a circle are supplementary.

i.e m∠A +m∠C = 180°

or, m∠BAD + m∠BCD= 180°

or, 98° + m∠BCD = 180°

or, m∠BCD = 180°-98°

or,m∠BCD = 82°

Answer: A - 82

Step-by-step explanation:

 180 - 98 = 82

took the test and got it right.

2 – Efetue:

a) (+7) . (- 5) b) (-9) . (- 8) c)(-15) : (+5) d) (+125) : (+25)

preciso disso pra agora

Answers

A) \(7x(-5)\)

A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: \((+) x (-)=(-)\)

\((7x5)\)

Multiplique os valores

\(-35\)

resposta para  A: \(-35\)

B)\((-9)x(-8)\)

A multiplicação dois números negativos resulta em um numero positivo : \((-)x(-)=(+)\)

\(9 x 8\)

Multiplique os valores

\(72\)

Resposta para B :\(72\)

C)\((-15) : 5\)

A divisão de um numero negativo por um positivo resulta em um numero negativo: \((-):(+)=(-)\)

\(-(15:5)\)

Divida os números

\(-3\)

Resposta para C: \(-3\)

D) \(125 : 25\)

Divida os números

\(5\)

Resposta para D: \(5\)

POR FAVOR ME MARCA BRAINLIEST

hhhhhhhhhhhhhhhhhhhhh

hhhhhhhhhhhhhhhhhhhhh

Answers

Answer:it should be b!

Step-by-step explanation:

I’m pretty sure I had the question before

Solve given initial-value problem. The DE is a Bernoulli equation. x^2 (dy/ dx ) - 2xy = 6y^4, y(1)= .25

Answers

y = (0.25 e^(1/9) + e^(1/3) - e^(x^2/3))/e^(x^2/9) is the solution to the initial value problem.

Solving initial-value problem using Bernoulli's equation.

The given differential equation is a Bernoulli equation of the form:

dy/dx + P(x)y = Q(x)y^n

where n is a constant not equal to 1. In this case, n = 4.

To solve the given differential equation, we first need to convert it to a linear equation by making the substitution:

z = y^(1-n) = y^-3

Then, we have:

dz/dx = (1-n)y^(-n) dy/dx = -3y^(-4) dy/dx

Substituting z and dz/dx into the differential equation, we get:

-3x^2 dz/dx - 6xz = 6

Simplifying and dividing by -3, we get:

x^2 dz/dx + 2xz/3 = -2

This is a linear differential equation, which we can solve using an integrating factor:

IF = e^(∫2x/3 dx) = e^(x^2/3)

Multiplying both sides of the differential equation by the integrating factor, we get:

d/dx [e^(x^2/3) z] = -2e^(x^2/3)

Integrating both sides with respect to x, we get:

e^(x^2/3) z = -3e^(x^2/3) + C

where C is the constant of integration.

Substituting back for z = y^-3, we get:

y^-3 e^(x^2/3) = -3e^(x^2/3) + C

Solving for y, we get:

y = (C - e^(x^2/3))/e^(x^2/9)

Using the initial condition y(1) = 0.25, we get:

0.25 = (C - e^(1/3))/e^(1/9)

Solving for C, we get:

C = 0.25 e^(1/9) + e^(1/3)

Therefore, the solution to the given initial-value problem is:

y = (0.25 e^(1/9) + e^(1/3) - e^(x^2/3))/e^(x^2/9)

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Encuentra el valor de q.
5q–4q=9

Answers

Answer: Q = 9

5q - 4q = 9 (Combine like terms)

q = 9

Step-by-step explanation:

How many 7 digit phone numbers are possible if the first digit must be non-zero? write your answer in scientific notation.

Answers

If the first number is not allowed to be "0", we will have that the aviable numbers will be:

\(1,2,3,4,5,6,7,8,9\)

So, we will have 9 posibilites, now:

First, we will have that the biggest number of 7 digits that we will be able to write will be 9 999 999 and the smallest is 1 000 000.

Now, we will have that the total number of aviable values is:

\(9999999-1000000=8999999\)

Then, the total number of possible is:

\(8.999999\cdot10^6\)

According to recent data, women make up what percentage of workers in science and technology (STEM) fields in Canada and the United States, respectively?

A. 34% and 40%

B. 23% and 26%

C. 17% and 26%

D. 25% and 27%

E. 34% and 26%

Answers

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.

In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.

Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.

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There are 16 ties on each rack.
Write an equation to find the total number of ties.
(Let t = ties and r = racks.)

Answers

Answer:

T(r) = (16 ties/racks)r

Step-by-step explanation:

Total number of ties = (16 ties/rack)(number of racks), or

T(r) = (16 ties/racks)r

please give a step by step ASAP

please give a step by step ASAP

Answers

The correct option is the fourth one, the slope and y-intercept are different.

Which statement is correct?

Here we have the linear equation:

3x - 5y = 4

We know that it is dilated by a scale factor of 5/3, so let's find the dilation.

We can rewrite the linear equation as:

-5y = 4 - 3x

y =  (3/5)x - 4/5

Now let's apply the dilation:

y = (5/3)*[ (3/5)x - 4/5]

y = x - 4/3

Then we can see that the slope and the y-intercept are different, the correct option is 4.

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3x + 2y = 1 4x + 3y = -2 Elimination ​

Answers

Answer:

x=7 y=-10 this is ur answer

i need answ for these two
16) Let ƒ(x)=−2(x−1)(x+2)² (x+5)³. a. Find the zeros of f(x). [2 pts] [2 pts] b. Give the multiplicity of each zero. c. State whether the graph crosses the x-axis, or touches and turns around,

Answers

The values of the independent variable for which a function evaluates to zero are referred to as a function's zeros, roots, or solutions. In other terms, a number x such that f(x) = 0 is a zero of a function f(x). Finding a function's zeros is comparable to figuring out the solution to the equation f(x) = 0.

Let ƒ(x)=−2(x−1)(x+2)² (x+5)³.

Find the zeros of f(x) and give the multiplicity of each zero.

a. To find the zeros of the function, we have to set ƒ(x) equal to zero. So, we get

x-2(x - 1)(x + 2)²(x + 5)³ = 0

Since the function is in factored form, we can use zero product property to solve for

x.-2 = 0,

(x - 1) = 0, (

x + 2)² = 0, and

(x + 5)³ = 0. Thus, we get:

x = 1,

x = -2 (multiplicity 2), and

x = -5 (multiplicity 3). Therefore, the zeros of the function are:

x = 1,

x = -2, and

x = -5.

b. Multiplicity of each zero of the function is the power of the factor of the zero. The multiplicity of x = 1 is 1.

The multiplicity of x = -2 is 2.

The multiplicity of x = -5 is 3.

c. Since the multiplicity of x = -2 is even, the graph touches the x-axis and turns around. And since the multiplicity of x = 1 is odd, the graph crosses the x-axis at x = 1. And since the multiplicity of x = -5 is odd, the graph crosses the x-axis at x = -5.

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Of two piles of stones, one contains 7 stones, and the other 5. Players alternate taking any number of stones from one of the piles, or an equal number from each pile. The player who cannot move loses. Who will win and how

Answers

The player who will win, based on the number of stones and the piles would be Player 1.

How to find the winning player ?

In this game, a player would win if they force their opponent to face two equal piles at the end of their turn. Once two equal piles are achieved, whatever move the opponent makes, the player can mimic on the other pile to maintain two equal piles, ultimately leaving the opponent with no valid moves.

The strategy to win from the starting position of piles with 7 and 5 stones:

Player 1 (P1) starts the game and takes two stones from the pile with 7 stones, leaving piles of 5 and 5. Now, no matter what Player 2 (P2) does, P1 can always mimic the move on the other pile.

For example, if P2 takes two stones from one pile, leaving the piles as 3 and 5, then P1 can also take two stones from the pile with 5 stones, leaving the piles as 3 and 3. If P2 takes one stone from each pile, leaving the piles as 2 and 2, then P1 can also take one stone from each pile, leaving the piles as 1 and 1.

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Analyze the conditional statement below and complete the instructions that follow.
If you break it, then you buy it.
Identify the contrapositive of the conditional statement.
If you buy it, then you break it.
If you did not break it, then you did not buy it.
If you buy it, then you did not break it.
If you did not buy it, then you did not break it.

Answers

Answer:

If you did not break it, Then you did not by it.

Step-by-step explanation:

in 2007 in the united states there were approximately 480 cars for every 1,000 people. the total number of cars in the united states in 2007 was closest to

Answers

Nearly 150,000,000 cars were registered in the US as a whole in 2007. China, India, and the United States are the three nations with the largest populations on earth.

Average lifespan and child mortality rate are indeed the two key metrics that most accurately reflect a citizenry's standard of living.

The population of the globe is projected to reach about 10 billion people in 2050. Africa and Asia will see the most expansion in population if indeed the patterns in demographic persist.

Cultural practices, governmental regulations, and monetary support, as well as female employment prospects as well as education levels, all have an impact on the overall birthrate of a community.

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explain why as in the case of a falling hammer we may ignore the effects of air resistance and treat it as if it were in free fall Which is true about the polynomial 8m3 + 11m? It is a binomial with a degree of 2. It is a binomial with a degree of 3. It is a trinomial with a degree of 2. It is a trinomial with a degree of 3. both political parties in the house have a , who acts as a go-between with the leadership and the party members in the house. for students set up a lemonade stand. At the end of the day their profit is $17.52. How much money do they have when the profit is split equally true or false Worms are herbivores, animals that consume dead organisms. The table shows the prices for fruit items at a local farmers market. Katelyn purchased four pounds of apples, six navel oranges, two mangoes, and three watermelons. The farmers market charged a convenience fee of $3 per order. Katelyn paid with a $50 bill.Fruit Price ListItem PriceCrispy Apples $1.79 (per pound)Navel Oranges 4 for $5.00Mango $1.50 eachWatermelon $5.99 eachHow much change should Katelyn receive from the $50 bill?A.$11.37 B.$14.37 C.$35.63 D.$38.63 colin is a software developer. he would like to earn a credential that demonstrates to employers that he is well educated on software security issues. what certification would be most suitable for this purpose? Escribe un prrafo donde comentes sobre el desarraigo presente en nuestras culturas. Escribe si ests de acuerdo o no y los pros y los contras. Debes responder a un compaero sobre los pros y a otro sobre los contras. Amanda wants to improve her chances of getting hired at a company that builds websites. What is an option that would help her?. Which type of map would help you most if you wanted to know how many people lived in an area? Identify the stage of the creative process. how could you design a test to see if a plant really produces oxygen during the process of photosynthesis? Which word best completes this analogy? ponder: think as fantasize A. act B. believe C. learn D. daydream Were the Colonists denied the chance to own land?Were the Colonists forced to purchase only certain goods? These two questions are a yes or no question and this is also The stamp act of 1765 Write 3 < x < 9 in interval notation. list two immigrant groups that moved to texas during the texas population growth By comparing homologous sequences of proteins in different organisms, we see that humans and chimps have extremely similar biochemistry, whereas humans and red bread mold have many differences. What does this observation imply? Select one:a.Humans and chimps are the same species b.Humans evolved from chimps, not red bread moldc.Humans and chimps evolved at the same timed.Humans and chimps have a close common ancestor, and humans and red bread mold have a much older common ancestor If \( \sin \theta=-\frac{1}{3} \) and \( \theta \) is in quadrant IV, find \( \tan (2 \theta) \). a) cannot be determined b) \( -\frac{4 \sqrt{2}}{9} \) c) \( -\frac{4 \sqrt{2}}{7} \) d) \( \frac{4 \s which one of the following statements about subsidies is not correct? subsidies always increase the gains from trade for producers. who actually receives the subsidy does not depend on who gets the check from the government. subsidies cause deadweight losses. who benefits from the subsidy depends on the relative elasticities of demand and supply. Martha Rose decides to investigate a flag height/width =3/5 There are 7 red stripes and 6 white stripes, all of which have the same height, the hoist. The height of the blue field equals the height of seven stripes.height of the blue field/width of the blue field = 2/3The height of one stripe is what fraction of the height of the entire flag? The height of the blue field is what fraction of the height of the flag?