use the distributive property to show why p + 0.06 = 1.06p.

Answers

Answer 1

p = 1.

This is because:

1.06-0.06=1.

Answer 2

Using distributive property, the expression p + 0.06p will be:

p + 0.06p = 1.06p

What is distributive property?

"It states that an expression given in form of A (B + C) can be solved as,

A × (B + C) = AB + AC"

For given example,

= p + 0.06p                                  ...............(given expression)

= p(1 + 0.06)                                 ................(seperate out common terms)

= p(1.06)

= 1.06p

Therefore, p + 0.06p = 1.06p

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Related Questions

Please help(01.05 MC)

The temperature of a city changed by −24 degrees Celsius over a 6-week period. The temperature changed by the same amount each week.

Part A: Write an expression to show the average change in the temperature of the city each week. (5 points)

Part B: Simplify the expression and explain, using words, what your answer means. (5 points)

Answers

Answer:

Part A: -15/5 = -3 degrees Celsius

​​​​​​​Part B: I got -3 as my answer because 15/5 is 3 but with there being a negative on the 15 it makes the 3 really a -3

NAME ME THE BRAINLIEST!!!

Answer: Part A: - 15/5 = - 3 degrees Celsius Part

​​​​Part B: - 15/5 = -3 because 15/5 is 3 but since there is a negative sign -15/5 equals -3

Step-by-step explanation:

what is the answer ??
Certain product requires 3 assembly operations \( (1, m, q) \) are sequentially done automatic assembly line. this assembly line to produce 6000 parts/month and the plant operating 4 weeks per month,

Answers

The production rate of the assembly line is 6000 parts per month.The assembly line produces 6000 parts per month, with a weekly production rate of 1500 parts.

To calculate the production rate of the assembly line, we need to consider the number of weeks in a month. Since the plant operates for 4 weeks per month, we can divide the total production by the number of weeks to find the weekly production rate.

Given that the assembly operations are sequential, we can calculate the weekly production rate as follows:

6000 parts/month ÷ 4 weeks/month = 1500 parts/week.

Therefore, the assembly line produces 1500 parts per week.

The assembly line produces 6000 parts per month, with a weekly production rate of 1500 parts. This information can be used for planning and managing production schedules efficiently.

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Please answer this question

Please answer this question

Answers

Answer:

75%

Step-by-step explanation:

Madison got 18 problems right and there's 24 problems in total. The question asks for the percentage of the problems that she answered correctly. So, put the number of questions that she got right and the total number of questions into a fraction and simplify.

18/24=3/4

3/4ths= 75%

f(x) = x2. What is g(x)?

f(x) = x2. What is g(x)?

Answers

Answer:

Answer: g(x)=. Step-by-step explanation: We are given that: f(x)=x². We have to find g(x). Since, we are given that g(3)=1. Hence, we will ...  ·  g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4

Step-by-step explanation:

Is this correct? Not sure.

Is this correct? Not sure.

Answers

Answer:

(from top)

in the first box, type $9

in the second box, type 4

in the third box, type $45

in the last box, type $112.50

Step-by-step explanation:

divide 22.50 by 2.5 = 9

so in the first box, type 9

36 divided by 9 = 4

5 * 9 = 45

12.5 * 9 = 112.5

Answer:

She makes $9 per hour. 9*2.5=22.50.

4 hours=$36

5hrs=$45

12.5 hours=112.50 dollars

Step-by-step explanation:

The results of an independent measures study produce a t statistic with df = 36 How many individuals participated in the entire study? a. 37 b. 38 c. 73 d. 74

Answers

According to the t statistic, the number of individuals who are participated in the entire study is 38 (option b)

To solve this problem, we need to use the formula for the t statistic, which is given by:

t = (M₁ - M₂) / (s√(1/n₁ + 1/n₂))

Here, M₁ and M₂ are the sample means of two independent groups, s is the pooled standard deviation of the two groups, and n₁ and n₂ are the sample sizes of the two groups.

Now, let's consider the formula for the degrees of freedom of the t statistic, which is given by:

df = n₁ + n₂ - 2

Here, df represents the number of independent observations that are available to estimate the population parameters. In our case, df is given as 36, which means that we have 36 independent observations to estimate the population parameters.

Using the above equation, we can rearrange the terms to find the sample size of one of the groups, say n₁, in terms of the other group's sample size n₂:

n₁ = df + 2 - n₂

We can substitute the value of df = 36 and try different values of n₂ to see which one gives us an integer value for n₁. We can start with n₂ = 1 and keep increasing it until we get an integer value for n₁.

If we take n₂ = 1, then:

n₁ = df + 2 - n₂ = 36 + 2 - 1 = 37

This gives us an integer value for n₁, which means that the total number of individuals in the study is:

n = n₁ + n₂ = 37 + 1 = 38

Therefore, the answer is option (b) 38.

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Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have?
First complete the equations below, where N stands for nickels and D stands for dimes.
[?]N+[]D=1.65;N+D=[]
Hint: A nickel is worth $0.05 and a dime is worth $0.10.

Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of

Answers

Sofia has 17 nickels and 8 dimes in her pocket, for a total of $1.65.

To solve this problem, let's assign variables to represent the number of nickels and dimes Sofia has. Let's say N represents the number of nickels and D represents the number of dimes.
From the problem, we know that Sofia has a total of 25 coins. Therefore, we can write the equation: N + D = 25.
We also know that the total value of all the coins is $1.65. Since a nickel is worth $0.05 and a dime is worth $0.10, we can write the equation: 0.05N + 0.10D = 1.65.
To solve this system of equations, we can use substitution or elimination. Let's use substitution. We can solve the first equation for N: N = 25 - D.
Now, substitute the value of N in the second equation: 0.05(25 - D) + 0.10D = 1.65.
Simplify the equation: 1.25 - 0.05D + 0.10D = 1.65.
Combine like terms: 0.05D = 1.65 - 1.25.
Simplify the right side: 0.05D = 0.40.
Divide both sides by 0.05: D = 0.40 / 0.05.
D = 8.
Now, substitute the value of D back into the first equation to find N: N + 8 = 25.
Simplify the equation: N = 25 - 8.
N = 17.
Therefore, Sofia has 17 nickels and 8 dimes.

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Please help I’ll give 30 pts

Please help Ill give 30 pts

Answers

The area of the figure created by Brianna is  \(33\frac{3}{4}\) square feet.

Explain area in mathematics.

Area is a mathematical concept that expresses the size of a region on a planar or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area or, it can be simply defined as the total amount of space occupied by a flat (2-D) surface or an object's shape.

Solution Explained:

A square with a side of 4 1/2 feet and two parallelograms with bases of 4 1/2 feet and heights of 1 1/2 feet make up the figure.

Therefore, the total area of the figure is
Area of Square + 2 X Area of Parallelogram
= (side)^2 + 2(b X h)
= (4 1/2)^2 + 2(4 1/2 X 1 1/2)
= 81/4 + 27/2    
=  135/4
= \(33\frac{3}{4}\) square feet

Area of the figure is \(33\frac{3}{4}\) square feet.

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You and 5 friends are going to see a movie. Each movie ticket costs $8. Complete the equation to show which operation to use and how much all the movie tickets will cost. Then complete the sentence to explain your reasoning.

Answers

Answer:

your total is $48

Step-by-step explanation:

8*6 (you plus five friends so six tickets and 8 dollars per ticket)

8 times 6 is 48

A gymnast is performing a floor routine. In a tumbling run she spins through the air, increasing her angular velocity from 3. 40 to 5. 40 rev/s while rotating through one half of a revolution. How much time does this maneuver take

Answers

With given angular speed/velocity,  the maneuver takes approximately 0.716 seconds.

What is angular speed ?

Angular speed (ω) is a measure of how quickly an object is rotating around an axis or center point, and is given in units of radians per unit time (e.g., radians per second). It is also sometimes referred to as rotational speed.

Angular speed is related to the linear speed (v) of a point on the rotating object and the distance (r) of that point from the axis of rotation by the equation:

ω = v/r

Now,

As angular velocity

ω_avg = Δθ/Δt

where ω_avg is the average angular velocity, Δθ is the change in angle, and Δt is the time taken.

In this case, the gymnast rotates through half a revolution, or 0.5 × 2π radians = π radians. The initial angular velocity is ω1 = 3.40 rev/s, and the final angular velocity is ω2 = 5.40 rev/s.

We can use the formula for average angular velocity to find the time taken:

ω_avg = (ω1 + ω2)/2

ω_avg = (3.40 rev/s + 5.40 rev/s)/2

ω_avg = 4.40 rev/s

Δθ = π radians

Δt = Δθ/ω_avg

Δt = π/4.40 s

Δt ≈ 0.716 s

Therefore,

                The maneuver takes approximately 0.716 seconds.

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Emma is planning a party for 128 guests. If 8 guests can be seated at each table, how many tables are needed for seating at the party that Emma organized?

Answers

Answer: 16 tables are needed

Step-by-step explanation: Brainlest please

Answer:

16 tables

Step-by-step explanation:

divide 128 with 8 which is 16

b) How many edges and vertices does a prism
with a 100-sided end face have?
edges
vertices

Answers

44 and help meeee tooo

read the picture plsssssssssss

read the picture plsssssssssss

Answers

1. 3x^9
2. 2x - 5(3x^2)
3. 8x + 2x/3 +6
4. x + 3 - y - 6

BRAINLISRST AND EXTRA POINTS I NEEDS I HELP

Sally deposits $150 into a bank
Account in 2020 that earns 3.5%
annual interest. What exponential
function represents the situation?

Answers

Answer:150/3.5

Step-by-step explanation:

Select the correct answer from each drop-down menu.

Consider the equation below.

x^3 - 3x^2 - 4 = 1/x-1 +5

The solutions to the equation are approximately x =

0.91 and x= *blank*

Answers

Answer:

The solution is x = + 0.77 , -0.77

Step-by-step explanation:

The equation is

\(x^3 - 3x^2 - 4 = \frac{1}{x} -1 +5\\x^4 -3x^3 -4x = 1-4x\\x^4 - 3x^3 = 1\\x^3 (x-3) = 1\\\\x^4 -3x^3 -1 = 0\\x^4 -3x^3 -1\)

The solutions to the equation is

x = + 0.77 , -0.77

Answer:

0.91 and 3.69

Step-by-step explanation:

Select the correct answer from each drop-down menu.Consider the equation below.x^3 - 3x^2 - 4 = 1/x-1

N = 27 divided (4 + 5)

Answers

The answer to this question is n = 3

Kristen's financial advisor has given her a list of 8 potential investments and has asked her to select and rank her favorite four. In how many different ways can she do this?

Answers

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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can someone round 12345.7890 to the nearest tenth​

Answers

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The required number is :

\(12345.8\)

\( \large \boxed{ \mathfrak{Explanation}}\)

According to given data, we have to round off the number to nearest tenth which means upto first digit after decimal.

And as the digit at hundredth place is 8 (second digit after decimal) , I.e greater than 4 so the tenth digit after decimal will increase by 1.

so, it will be :

\(12345.8\)

Answer:

12345.8

Step-by-step explanation:

If the expression ___ is written in the form _____ then what is the product of a, b, and c?

If the expression ___ is written in the form _____ then what is the product of a, b, and c?

Answers

Answer:

\( \frac{ {x}^{ - 2} {y}^{ \frac{1}{2} } }{ \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{ {x}^{2} \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{6 {x}^{2}y \sqrt{x} } = \frac{1}{6 {x}^{ \frac{5}{2} } {y}^{ \frac{1}{2} } } = \frac{1}{6} {x}^{ - \frac{5}{2} } {y}^{ - \frac{1}{2} } \)

\( \frac{1}{6} \times - \frac{5}{2} \times - \frac{1}{2} = \frac{5}{24} \)

1. Find the distance from point E (-4,-3) to FH

1. Find the distance from point E (-4,-3) to FH

Answers

The distance from point E (-4,-3) to FH is 5√2 units

How to find the distance between coordinates?

The distance from point E to FH can be found using distance formula as follows:

d = √(y₂ - y₁)² + (x₂ - x₁)²

Therefore, the distance from point E to FH is the distance from E to G.

Therefore,

E(-4, -3) and G(1, 2)

d = √(y₂ - y₁)² + (x₂ - x₁)²

x₁ = -4

x₂ = 1

y₁ = -3

y₂ = 2

Therefore,

d = √(2 + 3)² + (1 + 4)²

d = √5² + 5²

d = √25 + 25

d = √50

d = 5√2

Therefore, the distance is 5√2 units.

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Write the prime factorization of 84.

Write the prime factorization of 84.

Answers

Answer:

2 × 2 × 3 × 7=84

Step-by-step explanation:

Lines AAA, BBB, and CCC show proportional relationships. Which line has a constant of proportionality between yyy and xxx of \dfrac{5}{4} 4 5 ​ start fraction, 5, divided by, 4, end fraction?

Answers

If lines A, B and C shows proportional relationships, then the line A has a constant of proportionality between y and x is 5

Given the line A, B and C

The constant of proportionality is the ratio of the y coordinates to the x coordinate

k = y /x

Where k is the constant of proportionality

Consider the line A

One point on the line = (1, 5)

Constant of proportionality K = 5/1

= 5

Consider the line B

One point on the line = (3, 5)

Constant of proportionality k = 5/3

Consider the line C

One point on the line = (7, 5)

Constant of proportionality = 5/7

Therefore, the line A has the constant of proportionality of 5

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The given question is incomplete, the complete question is

Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 5?

Lines AAA, BBB, and CCC show proportional relationships. Which line has a constant of proportionality

Use the Buying a Car information above to answer this question. What is your monthly payment if you choose 0% financing for 48 months? Round to the nearest dollar. Use the Buying a Car information above to answer this question. The rebate offer is $2900, and you can obtain a car loan at your local bank for the balance at 5.24% compounded monthly for 48 months. If you choose the rebate, what is your monthly payment? $ Round to the nearest dollar.

Answers

If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

To calculate the monthly payment for each financing option, we'll use the information provided:

1. 0% financing for 48 months:

Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.

Purchase Price: $26,050

Number of Months: 48

Monthly Payment = Purchase Price / Number of Months

Monthly Payment = $26,050 / 48 ≈ $543

Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.

2. Rebate offer and car loan at the bank:

If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:

Purchase Price: $26,050

Rebate Offer: $2,900

Remaining Balance = Purchase Price - Rebate Offer

Remaining Balance = $26,050 - $2,900 = $23,150

Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:

Remaining Balance: $23,150

Interest Rate: 5.24% (compounded monthly)

Number of Months: 48

Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

First, let's calculate the Monthly Interest Rate:

Monthly Interest Rate = Annual Interest Rate / 12

Monthly Interest Rate = 5.24% / 12 ≈ 0.437%

Now, we can calculate the Monthly Payment using the formula mentioned above:

Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))

Monthly Payment ≈ $557

Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

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I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?

Answers

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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What are 2 common mistakes people make when using quotient rule with exponents?

Answers

Answer:

1. Not accounting for the difference in the base of the exponent when applying the quotient rule.

2. Not subtracting the exponents of the denominator from the exponent of the numerator when applying the quotient rule.

Round 345.989554676 to 1 decimal place.

Answers

345.989554676 to 1 decimal place is 346.0

How to round to 1 decimal?

Decimals numbers are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

Example of decimal numbers are as follows;

12.4, 18. 9455, 56.7999, 6.7789, 9.067 etc.

When you round to the one decimal place, or to the nearest tenth, the number in the hundredth point place will determine whether you round up or down.

If the hundredths digit or second decimal number is a number between 5 and 9, round up to the nearest whole number. If it's a number between 0 and 4, you would "round down" by keeping the tenths place the same.

Therefore,

345.989554676 to 1 decimal place is 346.0

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A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk in 3/4 hour if he walks?

Answers

Given:

Consider the complete question is "A speed walker covered \(4\dfrac{1}{4}\) mi in \(\dfrac{3}{4}\) hour. How far will he walk in 3/4 hours if he walks twice as fast?"

A speed walker covered \(4\dfrac{1}{4}\) mi in \(\dfrac{3}{4}\) hour.

To find:

Distance covered by him if in 3/4 hour if he walks twice as fast.

Solution:

We have,

\(Distance=4\dfrac{1}{2}=\dfrac{9}{2}\)

It means a speed walker covered \(\dfrac{9}{2}\) mi in \(\dfrac{3}{4}\) hour.

If the speed is twice then he can cover double distance is same time.

Distance covered by him if in 3/4 hour if he walks twice as fast is

\(2\times \dfrac{9}{2}=9\)

Therefore, distance covered by him is 9 mi.

What i 464 divided by 60 with a remainder?
(trying to figure out how many hour i 464 minute)

Answers

When we divide the 464 by 60 we get the following remainder in our answer that is 44.

What do math remainders mean?

The Remainder is the name for the value that is left behind after division. If an amount (reward) cannot be divided completely with another number, we are left with only a meaning (divisor). The remaining is the name for this amount. For instance, 10 is not precisely divisible by 3. We can calculate 3 x 3 = 9 because that is the closest value.

Briefing :

7.733333333333333

=7 44/60 ⇔ 7 R 44

464 divided by 60

=7 with a remainder of 44

Here, we provide you the outcome of the dividing with remainder, often known as the Euclidean division, along with a brief explanation of the following terms:

464 divide by 60 yields a quotient and residual of 7 R 44.

464 is the dividend & 60 is the divisor; the division (numeric division) of 464/60 is 7; the remainder ("left over") is 44.

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What term best describes 3x + 5?

Answers

Answer: Algebraic expression

Step-by-step explanation:

Lisa has $375 left after paying her total expenses for the month. She wants to buy an exercise machine for$660. How much would she have to save for three months to have enough to buy this new exercise machine? For four months? For six months?

Answers

Answer:

Step-by-step explanation:

285 dollars.  the left money = 660 - 375 =285

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InstructionsRead the question carefully and select the best answer.What two solutions mainly does Madison identify as capable of eliminating factions?A. Destroy liberty; make all citizens identicalB. Remove the causes; control the effectsC. Rewrite the Constitution; give power back to the StatesD. Delay elections; move the Capitol to New York kelfour has an additional $66,000 of funds to invest. the manager of the western division believes that she can invest the funds at a rate of return (roi) of 22.00% while the manager identify the graph of b(x)=8x^2compare the graph of b to the graph of f(x) =x^2 Cant figure out the surface area The symbols , -, and o are to be used to show the results of interactions between individuals and groups of individuals in the examples that follow. The symbol denotes a positive interaction, - denotes a negative interaction, and o denotes where individuals are not affected by interacting. The first symbol refers to the first organism mentioned. What interactions exist between a tick on a dog and the dog which of the following is a disadvantage of first movers? they decrease sales volume compared to their rivals, and thus operate at a loss. they cannot create switching costs for their customers, thus making it difficult to enter the market. they do not have the power to exploit network effects and positive feedback loops. they run the risk of building the wrong resources and capabilities. they cannot establish significant brand loyalty due to high costs. a nasal spray for cystic fibrosis patients, which contains adenovirus particles carrying a normal human cftr gene, is an example of a nasal spray for cystic fibrosis patients, which contains adenovirus particles carrying a normal human cftr gene, is an example of in vivo gene therapy. ex vivo gene therapy. in vitro gene therapy. in situ gene therapy. Water flows into a lake at a constant rate.Grace recorded that 400 litres of water flowed into the lake in 1 minute.She recorded the number of litres to the nearest 20 litres.She recorded the time to the nearest10 seconds.Calculate the upper bound for the rate at which the water could have flowed into the lake.Give your answer in litres per second to 2 d.p. Use the passages below to answer all parts of the question that follows.On the evening of October 11, 1492... The two worlds [Old and New world], which God had cast asunder, were reunited, and the two worlds, which were so very different, began on that day to become alike. That trend toward biological homogeneity is one of the most important aspects of the history of life on this planet since the retreat of the continental glaciers.Alfred W. Crosby Jr., The Columbian Exchange: Biological and Cultural Consequences of 1492 (1972)Maize was the most important grain of the American Indians in 1491, and it is one of the most important grain sources in the world right now. It is a standard crop of people not only throughout the Americas, but also southern Europe. It is a staple for the Chinese. It is a staple in Indonesia, throughout large areas of Africa. If suddenly American Indian crops would not grow in all of the world, it would be an ecological tragedy. It would be the slaughter of a very large portion of the human race.Alfred W. Crosby Jr., Smithsonian.com, October 4, 20111. Describe Crosbys argument about the interactions that occurred between the Americas and Europe/Africa in the period 1450-1750.2. Explain ONE way in which the biological impact referred to in the passage differed from other encounters between the Americas and Europe/Africa in the period 1450-1750.3. Explain ONE historical situation in the period 1450-1750, other than the one illustrated in the passage, in which states experienced environmental impact. 64. If the economy is normal, Charleston Freight stock is expected to return 15.7 percent. If the economy falls into a recession, the stock's return is projected at a negative 11.6 percent. The probability of a normal economy is 80 percent while the probability of a recession is 20 percent. What is the variance of the returns on this stock? Five lifeguard towers are lined up along a beach; the leftmost tower is number 1 and the rightmost tower is number 5. Two vendors, players 1 and 2, each have a popsicle stand that can be located next to one of five towers. There are 25 people located next to each tower, and each person will purchase a popsicle from the stand that is closest to him or her. That is, if player 1 locates his stand at tower 2 and player 2 at tower 3, then 50 people (at towers 1 and 2) will purchase from player 1, while 75 (from towers 3, 4, and 5) will purchase from vendor 2. Each purchase yields a profit of $1.Required:a. Specify the strategy set for each player. Are there any strictly domi nated strategies? b. Find the set of strategies that survive rationalizability. part a first, choose the correct form of the expression for the capacitor voltage, v(t) , for t0 . which amino acods could form a hydrogen bond with another amoino acid to stablize the secondary sturcutre of a b pleated sheet