A fish fly density is 2 million insects per acre and is decreasing by one-half (50%) every week. Estimate their density after 3.3 weeks. M The estimated fish fly density after 3.3 weeks is approximately million per acre. (Round to nearest hundredth as needed.)

Answers

Answer 1

The estimated fish fly density after 3.3 weeks is approximately 0.303 million per acre.

We are given that the initial fish fly density is 2 million insects per acre, and it decreases by one-half (50%) every week.

To estimate the fish fly density after 3.3 weeks, we need to determine the number of times the density is halved in 3.3 weeks.

Since there are 7 days in a week, 3.3 weeks is equivalent to 3.3 * 7 = 23.1 days.

We can calculate the number of halvings by dividing the total number of days by 7 (the number of days in a week). In this case, 23.1 days divided by 7 gives approximately 3.3 halvings.

To find the estimated fish fly density after 3.3 weeks, we multiply the initial density by (1/2) raised to the power of the number of halvings. In this case, the calculation would be: 2 million * \((1/2)^{3.3}\)

Using a calculator, we find that \((1/2)^{3.3}\) is approximately 0.303.

Therefore, the estimated fish fly density after 3.3 weeks is approximately 0.303 million insects per acre, rounded to the nearest hundredth.

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Related Questions

The cost of a taxi ride can be modeled as a function of the number miles traveled. There is a base charge of $3.50 and also a charge of $0.10 per mile. A- Write an equation to describe this scenario B- What does the independent variable represent? C- What does the dependent variable represent? D- What is the rate of change in this scenario?

Answers

Answer:

a. C(x) = $3.50 + $0.10x. b. distance traveled c. cost of the taxi ride d. $0.10 per mile

Step-by-step explanation:

A. Let C be the cost of the taxi ride and x be the distance traveled in miles. Since there is a base charge of $3.50 and a charge of $0.10 per mile, the cost of the ride is thus

C(x) = $3.50 + $0.10x.

B. The independent variable represents the distance traveled in miles since it is the parameter being measured.

C. The dependent variable represents the cost of the taxi ride, since it is value depends on the parameter (the distance) being measured.

D. The rate of change in this scenario is the $0.10 per mile

square root of 31-4√21​

Answers

-12.762538417

Hope that helps

Answer:

-12.762538417

Step-by-step explanation:

what is the product if the polynomials(8x^2 - 4x - 8)(2x^ + 3x + 2)

Answers

To solve the product, we have to use the distributive property.

\((8x^2-4x-8)(2x^2+3x+2)=16x^4-12x^2-16\)

The powers with similar bases are solved by just adding their exponents.

Therefore, the product of the polynomials is equivalent to\(16x^4-12x^2-16\)

Help meeeeeeeeeeeeeeeeeee

Help meeeeeeeeeeeeeeeeeee

Answers

Answer:

1 1/2 cups

Step-by-step explanation:

original amount = 2 1/4 cups = (2 × 4 + 1)/4 cups = 9/4 cups

2/3 of original amount = 2/3 × 9/4 cups = 18/12 cups = 3/2 cups = 1 1/2 cups

the dependent variable in an experiment is the factor__

Answers

The dependent variable in an experiment is the factor whose value is being measured or observed.

In an experiment, the dependent variable is the factor that is being observed or measured. It is the variable that responds to changes in the independent variable, which is the factor being manipulated or changed in the experiment. The dependent variable is often represented on the y-axis of a graph and is used to analyze and interpret the results of the experiment. For example, in an experiment testing the effect of fertilizer on plant growth, the dependent variable would be the plant growth, as it is being measured in response to the fertilizer treatment. The dependent variable is crucial in experimental design as it helps researchers determine the relationship between the independent variable and the observed outcome.

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wsb analysts will rate companies and give their quarterly preformance a numerical score. we know these scores are normally distributed with a mean of 88 and variance of 36. the probability of a company getting a score

Answers

The probability of a company getting a score between 71 and 77 is approximately 0 or 0%.

To calculate the probability of a company getting a score between two values, we need to use the cumulative distribution function (CDF) of the normal distribution.

For the first question, the probability of a company getting a score between 66 and 188, we can calculate it as follows:

Calculate the z-scores for the lower and upper values:

z1 = (66 - 88) / sqrt(36) = -2

z2 = (188 - 88) / sqrt(36) = 10

Use the z-scores to calculate the cumulative probabilities:

P(z1 < Z < z2) = P(Z < z2) - P(Z < z1)

Looking up the z-scores in a standard normal distribution table or using a calculator, we find:

P(Z < -2) ≈ 0.0228

P(Z < 10) ≈ 1

Therefore,

P(66 < X < 188) = P(-2 < Z < 10) ≈ P(Z < 10) - P(Z < -2) ≈ 1 - 0.0228 ≈ 0.9772

So, the probability of a company getting a score between 66 and 188 is approximately 0.9772 or 97.72%.

For the second question, the probability of a company getting a score between 71 and 77, we follow the same steps:

Calculate the z-scores for the lower and upper values:

z1 = (71 - 88) / sqrt(36) = -0.944

z2 = (77 - 88) / sqrt(36) = -0.944

Use the z-scores to calculate the cumulative probabilities:

P(z1 < Z < z2) = P(Z < z2) - P(Z < z1)

Looking up the z-scores in a standard normal distribution table or using a calculator, we find:

P(Z < -0.944) ≈ 0.1736

P(Z < -0.944) ≈ 0.1736

Therefore,

P(71 < X < 77) = P(-0.944 < Z < -0.944) ≈ P(Z < -0.944) - P(Z < -0.944) ≈ 0.1736 - 0.1736 ≈ 0

So, the probability of a company getting a score between 71 and 77 is approximately 0 or 0%.

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WSB analysts will rate companies and give their quarterly preformance a numerical score. We know these scores

are normally distributed with a mean of 88 and variance of 36. The probability of a company getting a score

between 66 and 188 is?

The probability of a company getting a score between 71 and 77 is ?

The following table shows the speeds at which Jeff does 444 activities. For example, biking has a rate of 191919 miles in 222 hours.
Activity Miles Hours
Biking 191919 222
Walking 141414 444
Running 151515 333
Swimming 181818 444
Which type of activity does Jeff do at a speed of 4.54.54, point, 5 miles per hour?
Choose 1 answer:

Answers

Answer: The mile is an English unit of length, of linear measure that equals to 5,280 feet. It originated from the Roman mille passus that measured as 5,000 Roman feet.

While the speed is distance traveled per unit of time. It is how fast an object is moving. Speed is the scalar quantity which is the magnitude of the velocity vector but it doesn't have a direction.

The following table shows the speeds at which Jeff does 4 activities.

For biking it needs 19 miles / 2 hours, hence it means 9.5 miles / hour.

For walking it needs 14 miles / 4 hours, hence it means 3.5 miles / hour.

For running it needs 15 miles / 3 hours, hence it means 5 miles / hour

For swimming it needs 18 miles / 4 hours, hence it means 4.5 miles / hour.

Which type of activity does Jeff do at a speed of 4.5 miles per hour? The answer is swimming activity. I hope it helps you. ;)

Step-by-step explanation:

Triangle abc was dilated using the rule do,4. Triangle a'b'c' is the result of the dilation. Point o is the center of dilation. Triangle a b c is dilated to create triangle a prime b prime c prime. The length of o b is three-fourths. What is ob'?.

Answers

The length of OB' after dilation 3 units.

What is dilation of triangle?

Dilation is a method for producing similar figures. By increasing distances by the scale factor, each point is extended outwards from the center point.

Dimensions of the new shape = Dimensions of the original shape × Scale factor.

in a given triangle,

Dilation is using the rule d o,4, it means is that triangle was enlarged by a scale factor of 4 with point O as the center of dilation.

\(ob = \frac{3}{4}\)

\(o'b' = 4 * \frac{3}{4}\)

\(o'b' = 3 units\)

The length of OB' after dilation 3 units.

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A store has been selling a certain TV for $210. If the store raised the price by 5% (of the original
price), what would be the new price?​

Answers

Answer:

Step-by-step explanation:

Selling price =  $210

percentage increase = 5 %

Increased amount = 5% of 210

                              = 0.05 * 210

                               = $ 10.5

New selling price = 210 + 10.5  = $ 220.50

There are some parallelograms that are rectangles.
A. True
B. False

Answers

A. True because rectangles two sides of opposite parallel
A. True because rectangles have two opposite sides that are parallel of each other

which of the following statements is true about a rational function of the form where g and h are polynomial functions?

Answers

The true statement about the function is that (c) the domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

How to determine the true statement of the function f(x)?

The complete question is added at the end of this solution

From the complete question, we have the following equation

f(x) = g(x)/h(x)

The above equation means that

The function f(x) is the quotient of the functions g(x) and h(x)


For the function f(x) to have real values, the function h(x) must not equal 0

i.e. h(x) ≠ 0

This is so because

A number or an expression divided by 0 is not a real number

Hence, the true statement is that the domain of f(x) consists of all values of x where h(x) does not equal 0.

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Complete question

which of the following statements is true about a rational function of the form where g and h are polynomial functions?

A. If the rational function has a removable discontinuity, then it cannot have a vertical asymptote. g(x)

B. The rational function f(x) h(x) will have a removable discontinuity at x = a if g(a) = 0. g(x)

C. The domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

D. If the rational function has a removable discontinuity, then it cannot have a horizontal asymptote.

how many different refrigerants may be recovered into the same cylinder

Answers

In general, different refrigerants should not be mixed or recovered into the same cylinder.

Different refrigerants have unique chemical compositions and properties that make them incompatible with one another. Mixing different refrigerants can lead to unpredictable reactions, loss of refrigerant performance, and potential safety hazards. Therefore, it is generally recommended to avoid recovering different refrigerants into the same cylinder.

When recovering refrigerants, it is important to use separate recovery cylinders or tanks for each specific refrigerant type. This ensures that the refrigerants can be properly identified, stored, and recycled or disposed of in accordance with regulations and environmental guidelines.

The refrigerant recovery process involves capturing and removing refrigerant from a system, storing it temporarily in dedicated containers, and then transferring it to a proper recovery or recycling facility. Proper identification and segregation of refrigerants during the recovery process help maintain the integrity of each refrigerant type and prevent contamination or cross-contamination.

To maintain the integrity and safety of different refrigerants, it is best practice to recover each refrigerant into separate cylinders. Mixing different refrigerants in the same cylinder can lead to complications and should be avoided. Following proper refrigerant recovery procedures and guidelines helps ensure the efficient and environmentally responsible management of refrigerants.

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The number of different refrigerants that may be recovered into the same cylinder is zero.

When it comes to refrigerants, it is important to understand that different refrigerants should not be mixed together. Each refrigerant has its own unique properties and should be handled and stored separately. mixing refrigerants can lead to chemical reactions and potential safety hazards.

The recovery process involves removing refrigerants from a system and storing them in a cylinder for proper disposal or reuse. During the recovery process, it is crucial to ensure that only one type of refrigerant is being recovered into a cylinder to avoid contamination or mixing.

Therefore, the number of different refrigerants that may be recovered into the same cylinder is zero. It is essential to keep different refrigerants separate to maintain their integrity and prevent any adverse reactions.

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Find the value of x.

Find the value of x.

Answers

Answer:

\(\boxed {\boxed {\sf x=5}}\)

Step-by-step explanation:

We are given a quadrilateral. It will be difficult to find x using this shape, but we can drop a perpendicular line and create a right triangle (refer to the attached image).

Match up the other sides. The height is equal to 4.

At the base, the longer portion is 7 because the line segment above the base is 7. Since the entire base is 10, the smaller portion must be 3 because 10-7=3.

Now we have 2 sides of a right triangle and one unknown. We can use the Pythagorean Theorem.

\(a^2+b^2=c^2\)

Where a and b are the legs and c is the hypotenuse.

In this triangle, 4 and 3 are the legs because they make the right angle. x is the hypotenuse because it is opposite the right angle.

a= 4, b=3, c=x

Substitute the values into the formula.

\((4)^2+(3)^2=x^2\)

Solve the exponents.

(4)²= 4*4= 16

\(16+(3)^2=x^2\)

(3)²= 3*3= 9

\(16+9=x^2 \\\)

\(25=x^2\)

Take the square root of both sides of the equation to isolate the variable.

\(\sqrt{25} =\sqrt{x^2}\)

\(5=x\)

x is equal to 5.

Find the value of x.

Please Help Me Guys :)

Please Help Me Guys :)

Answers

Answer:

5. x=80°, y= 80°

Step-by-step explanation:

5.x=80 (Vertically opposite angle V.O.A)

y=80 (alternate angle)

A four-sided figure is resized to create a scaled copy. The proportional relationship . between any given side length in the original figure, f, and the corresponding side length in the scaled copy, s, can be represented by the equation s f. What is the constant of proportionality from side lengths in the original figure to side lengths in the scaled copy?

A four-sided figure is resized to create a scaled copy. The proportional relationship . between any given

Answers

Step 1. When two variables are related, for example, x and y, there will be a constant of proportionality between the x-values and the y-values, this constant of proportionality ''k'' is represented in the general formula for proportionality:

\(y=kx\)

Step 2. In this case, we are relating two variables: f and s, through the following equation:

\(s=\frac{1}{7}f\)

If we compare this with the equation from step 1, we can see that 1/7 represents the constant of proportionality:

\(k=\frac{1}{7}\)

Answer: The constant of proportionality is 1/7

Question Determine the area under the standard normal curve that lies to the right of the x-score of 1.15. Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.9 0.8159 0.8186 0.8212 0.8238 0.8289 0.

Answers

The area under the standard normal curve that lies to the right of the z-score of 1.15 is approximately 0.1251.

To determine the area under the standard normal curve that lies to the right of the z-score of 1.15, we can use a standard normal distribution table or a calculator.

From the given z-scores in the table, we can see that the closest value to 1.15 is 1.15 itself. The corresponding area to the right of 1.15 is not directly provided in the table.

To find the area to the right of 1.15, we can use the symmetry property of the standard normal distribution. The area to the right of 1.15 is equal to the area to the left of -1.15.

Using the z-score table, we can find the area to the left of -1.15, which is approximately 0.1251.

Therefore, the area under the standard normal curve that lies to the right of the z-score of 1.15 is approximately 0.1251.

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Do these pairs of values (x and y) represent two quantities that are proportional?

X: 4, 6, 10, 14
Y: 2, 3, 5, 7

Answers

Answer:

No

Step-by-step explanation:

In a proportional relationship, it will be a straight line (it is here) that goes through the origin (it does not).  It would not go through (0.0), but would go through (2, 0)

The prices of breakfast cereals in three different box sizes are shown in the table. Based on the information in the table, which statement is true?

Table:
Small. Medium Large
10 oz. 15 oz. 20 oz.
$2.50. $3.00. $4.50.

A: The small box has the highest cost per ounce.
B: The medium box has the highest cost per ounce.
C: The small and large boxes have the same cost per ounce.
D: The medium and large boxes have the same cost per ounce.​

Answers

The answer is B
Step by step

Does the rule y = −2 · 2x represent a linear or an exponential function?

Exponential

Answers

It is a linear function

Six different names were put into a hat. A name is chosen 116 times and the name Grace is chosen 15 times. What is the experimental probability of the name Grace being​ chosen? What is the theoretical probability of the name Grace being​ chosen? Use pencil and paper. Explain how each probability would change if the number of names in the hat were different.

Answers

Answer:

Try this!!!

Step-by-step explanation:

Experimental Probability:

The experimental probability of an event is found by dividing the number of times the event occurs by the total number of trials. In this case, the name Grace was chosen 15 times out of 116 trials, so the experimental probability of choosing Grace is:

Experimental Probability = Number of times Grace was chosen / Total number of trials

Experimental Probability = 15 / 116

Experimental Probability = 0.1293 or approximately 12.93%

Theoretical Probability:

The theoretical probability of an event is found by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, there are six names in the hat, so the probability of choosing Grace is:

Theoretical Probability = Number of favorable outcomes / Total number of possible outcomes

Theoretical Probability = 1 / 6

Theoretical Probability = 0.1667 or approximately 16.67%

If the number of names in the hat were different, both the experimental and theoretical probabilities would change. For example, if there were only three names in the hat, the theoretical probability of choosing Grace would be 1/3 or approximately 33.33%. The experimental probability would also change based on the number of times Grace was chosen out of the total number of trials. As the number of names in the hat increases, the theoretical probability of choosing Grace decreases, and the experimental probability becomes more accurate as the number of trials increases.

Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?

Answers

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

How to calculate the value?

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Linda put $130 to start a bank account. At the end of each week, Linda goes to the bank and either makes a withdrawal (takes money out) or a deposit (puts money in). The first four weeks of Linda's bank activity are listed. Week 1: withdraws $125 Week 2: deposits $400 • Week 3: withdraws $240 • Week 4: deposits $183 She wants to use the money she has her account to buy a music system worth $575. How much more money does she need? A $218 B. $227 C. $348 $357​

Answers

Answer:

?

Step-by-step explanation:

Answer:

227

Step-by-step You subtract 130 with 125 which will give you 5 Then you add 400 which is 405 then you subtract 405 by 240 which is 165 and finnaly you add 165 with 183 and get 348. You then take that 348 and subtract it by 575

( 575 - 348 ) and get 227.

Kate has a Major Medical Plan with a 75/25 coinsurance and a deductible of $25. How much will she have to pay if she, not having met any of her deductible, visits the doctor and receives a bill for $125?

Answers

Kate will have to pay $56.25 out of pocket for her doctor visit.

The formula for calculating coinsurance is Coinsurance = (Cost of Service x Coinsurance Percent) / 100.If Kate has not met her deductible yet, she will need to pay the full $25 deductible plus 25% of the remaining bill.

The formula for calculating the amount Kate needs to pay is as follows:

Cost to Patient (C) = Deductible (D) + Coinsurance (C) * (Bill – Deductible)  In this case, Kate would need to pay (125 x 25) / 100 = $31.25. The extra $25 is the deductible, which is the amount she must pay before her insurance kicks in.This amount is due immediately upon the visit, regardless of whether or not she has met her deductible So in total, Kate would have to pay $25 + $31.25 = $56.25. In summary, Kate will have to pay $56.25 out of pocket for her doctor visit.

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Help got to do this by tomorrow number 15

Help got to do this by tomorrow number 15

Answers

EH is considered to be horizontal and DH is considered to be vertical. They both form a perpendicular segment and creates a 90 degree angle.

What is the solution to the equation -2(2x + 4) + 10 = 8x + 14?

A.
x = 3.5

B.
x = -1

C.
x = 1

D.
x = -3.5

Answers

\(-2(2x+4)+10=8x+14\\\\-4x-8+10=8x+14\\\\-4x-8x=14+8-10\\\\-12x=12 \ \ /:(-12)\\\\\huge\boxed{x=-1}\)

Answer:

-1

Step-by-step explanation:

-2(2x + 4) + 10 = 8x + 14

-4x - 8 + 10 = 8x + 14

-4x + 2 = 8x + 14

-4x - 8x = 14 - 2

-12x = 12

x = -12/12

x = -1

Factorise the following

\(4 {a}^{2} v {}^{5} - 18av {}^{2} \)

Answers

The factors of the given expression are 2av² and (2av³-9).

The given expression is 4a²v⁵-18av².

The factors are the polynomials which are multiplied to produce the original polynomial.

2av²(2av³-9)

Therefore, the factors of the given expression are 2av² and (2av³-9).

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A researcher obtains z = 1.80 for a one-sample z test. What is the decision for this test at a .05 level of significance?

Group of answer choices

a. to reject the null hypothesis
b. to retain the null hypothesis
c. It depends on whether the test is one-tailed or two-tailed.
d. There is not enough information to make a decision.

Answers

The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).

To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).

For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.

Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.

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Use the picture below to
# 1) Your realized income is $3,543.22/month.
determine your fixed expenses each month. How much could you save per
month if you take 25% of your discretionary monies and put it in a savings
account?

Answers

The amount you could save per month would be 25% of your discretionary money.

How much could you save per month if you take 25% of your discretionary money?

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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round 6 3/4 to the nearst whole number​

Answers

Answer:

7

Step-by-step explanation:

do you really need one?

The answer will be 7. This is because 6 and 3/4 is written out as 6.75 and if you round that you will get 7.

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE

Answers

Answer:

A, D, H, N

Step-by-step explanation:

A minor arc is always going clockwise and less than 180 degrees (straight line).

Other Questions
Name and describe three special purpose input device people commonly use in public place such as stores,banks and libraries T/F net realizable value of an asset is the estimated selling price of the asset in the ordinary course of business, less reasonably predictable costs of completion, disposal, and transportation A nurse is providing teaching to a client who has a new diagnosis of fibromyalgia. Which of the following statements indicates an understanding of the teaching? Find the product.(3x^3y)(3x^2y) which is the right answer??? Dancers experience large forces associated with the jumps they make. For example, when a dancer lands after a vertical jump, the force exerted on the head by the neck must exceed the heads weight by enough to cause the head to slow down and come to rest. The head is about 9.4% of a typical persons mass. Video analysis of a 61 kg dancer landing after a vertical jump shows that her head slows down from 4.2 m/s to rest in a time of 0.19 s .What is the magnitude of the average force that her neck exerts on her head during the landing? Express your answer in newtons to three signifcant figures. Kaitlyn wants to use one of two regular hexagonal cake pans for a recipe she is making. The side length of the larger pan is 4.5 inches, and the area of the base of the smaller pan is 41.6 square inches.a. What is the side length of the smaller pan? Summarize about amendment 5 with your own words. Please answer question HURRY I need help Three corporations each own land. Corporation A owns 3.2 105 acres, corporation B owns 4 104 acres, and corporation C owns 4.3 105 acres. Which corporation owns the most land? How many times greater is corporation As land than corporation Bs land?A. Corporation A owns the most land. Corporation A owns 8 times more land than corporation B.B. Corporation B owns the most land. Corporation A owns 4 times more land than corporation B.C. Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.D. Corporation C owns the most land. Corporation A owns 80 times more land than corporation B.E. Corporation A owns the most land. Corporation A owns 40 times more land than corporation B. Is the heat energy present in the interior of the Earth?. What law is being modeled The Mississippi-Missouri River can be found in: Read the excerpt from Part 2 of The Odyssey.(Odysseus):'We would entreat you, great Sir, have a carefor the gods' courtesy; Zeus will avenge the unoffending guest.'He answered thisfrom his brute chest, unmoved.(Cyclops):'You are a ninny,or else you come from the other end of nowhere,telling me, mind the gods! We Cyclopes care not a whistle for your thundering Zeus.'What theme is best revealed by this conflict? How does the author unfold the details of the text painter of light. When coding relative URLs, you can begin the URL with a single dot (.) to indicate that the URL should start with the ________________ directory.current how is sunlight related to seasons and the tilt of the earths axsis P(x) = 10 / [ s(s+2)(s+5)] complete the following root locus (RL) construction steps for a proportional feedback controller C(s)=Kp assuming unity feedback. Determine the number of RL asymptotes PLEASE HELP NEED ANSWER NOW HURRY PLEASE 100PTSA team has been working to convert dieselpowered cars to run just as efficiently on used cooking oil! They want to compare the mileage and speed of their prototype with that of the dieselpowered car.The prototype is 100 meters south of an intersection, while the diesel car is 100 meters east of the intersection. Both vehicles start moving at the same time. The prototype moves north, toward the intersection, and the diesel car moves east, away from the intersection. If the prototype is traveling at a velocity of 3 meters per second and the diesel car is traveling at 2 meters per second, what is the rate of change of the distance between the cars after four seconds? Round off your answer to two decimal places. (7.0 109)n = 3.5E4