An airplane is preparing to land at an airport. It is 44,100 feet above the ground and is descending at the rate of 3,500 feet per minute. At the same​ airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude​ be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.

Answers

Answer 1

Answer:

Step-by-step explanation:you add the nmer than you divid them so when you divd them you answer is right there


Related Questions

4. Madeleine can type 3 pages in one hour.
How many hours will it take her to type
a 123-page report?

Answers

123/3 =41 so 41 hours
It will take 41 hours

what is the simple interest on 30000 naira for 4 years at 8% rate​

Answers

Answer:

Step-by-step explanation:

- Hint: In this question we asked to find the Simple interest. Here, we will calculate simple interest for 4 years at 8% per annum by using the formula of simple interest (SI) =PRN100 .

Complete step-by-step solution -

To find the simple interest first we will know about simple interest.

Simple interest is based on principal amount for a fixed period of time. The amount which we deposit or take loan from the bank is known as principal amount. The period of time for which the money is lent is known as time on interest.

Now, we will calculate here simple interest,

SI =PRN100

Where P (principal amount) = Rs. 3000

R (Rate of interest) = 8%

N (number of period) = 4 years

So, finding simple interest by putting all the value, we get

=3000×8×4100

=30×8×4

=960 Rs.

our tendency to believe we can predict the outcome of random events is the ____________.

Answers

A person's tendency to believe he/she can predict the outcome of random events is known as the Hindsight bias

What are outcomes and events in math?

An event is the total number of results from a random experiment. Trial results are the outcome. The outcome of an event is the totality of all potential outcomes. To better understand this, let's use an example. Example: Chances of rolling a die and getting the desired number

What are the three types of outcomes?

The three types of outcomes are Organizational outcomes, Team outcomes, and Personal or Individual outcomes.

A psychological phenomenon called hindsight bias enables people to persuade themselves after an occurrence that they correctly predicted it before it occurred. People may get the conclusion that they can foresee subsequent occurrences with accuracy as a result.

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Un árbol se vende en base a la circunferencia de su tronco. Si el tronco de un árbol tiene un radio de 4 pulgadas, ¿cuál es la circunferencia del tronco del árbol?​

Answers

Answer:

25.12  pulgadas

Step-by-step explanation:

simple interest on a $198,562 mortgage at 3.99%?

Answers

The simple interest on the amount $198,562 mortgage at 3.99% will be $7922.62.

What is simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.

As per the given,

Principle amount P = $198,562

Rate = 3.99%

Interest amount = 3.99% of $198,562

⇒ (3.99/100)198562 = $7922.62

Hence "The simple interest on the amount of $198,562 mortgage at 3.99% will be $7922.62".

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the mid-state soccer conference has 6 teams. each team plays the other teams once. (a) how many games are scheduled?

Answers

The total number of games would be 15 games.

What are the Permutation and Combination?

Permutations and combinations are the various ways in which objects from a set can be selected to form subsets, generally without replacement. When the order of selection is a factor, this selection of subsets is called a permutation; when it is not, it is called a combination.

Consider each team playing with the other team once

Total number of games scheduled = Number of ways of selecting 2 from 6 teams

               [tex]=^nC_r\\\\=^6C_2\\\\=\frac{6!}{2!*4!}\\\\=15[/tex]

Hence the total number of games would be 15 games.

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A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.


Years of experience Salary
0 $52,000
1 $53,150
2 $54,260
3 $55,285
4 $56,921
5 $57,126


Use the equation for the line of best fit to predict the salary for an employee with 6 years of experience? (Round your answer to the nearest dollar.)
$61,150
$58,587
$59,672
$57,990

Answers

The equation for the line of best fit to predict the salary for an employee with 6 years of experience is $58,587.

What is meant by slope?

The letter m is frequently used to represent slope; the reason for this is unclear, although it is first used in English by O'Brien in 1844, who wrote the equation for a straight line as "y = mx + b," and by Todhunter in 1888, who wrote it as "y = mx + c."

Finding the ratio of "vertical change" to "horizontal change" between any two unique locations on a line yields the slope. When the ratio is stated as a quotient ("rise over run"), the result is the same for each

We have to take any two points in the given information and find the value of slope.

Let the two points are (0, 52000), (1, 53,150)

m=(53150-52000)/(1-0)

m=1150

Therefore, slope=1150

Now, the equation of the line is y=mx+b

52000=1150(0)+c

c=52000

Therefore, y=1150x+52000

For 6 years experience,

Take x=6 then,

y=1150(6)+52000

y=6900+5200

y=58,900

y=$58,900≈58,587

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Answer:

$58,587.

Step-by-step explanation:

Stock in Boomer Branding, Inc. started the week at $26.50 per share. During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25) Show the changes on the number line by identifying the original starting point and where each arrow representing the change would end.

Drag each value to correct place on the number line.

Answers

The number line is shown in figure.

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Stock in Boomer Branding, Inc. started the week at $26.50 per share.

During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25)

Now,

Since, During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25)

Hence, All the number is shown in figure on that place.

Thus, The number line is shown in figure.

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i am more than $2$ inches taller than my sister, but triple her height is more than $51$ inches greater than double my height. what is the smallest whole number of inches that could be my sister's height?

Answers

The smallest whole number of inches that could be my sister's height will be equal to 55 inches.

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given information in the question,

Let me be n inches tall, while my sister is m inches tall.

I'm my sister's tallest by over $2 inches.

So, the equation obtained is,

n = 2 + m             (1)

However, if we treble her height, it would be more than 51 inches taller than I am.

So, the equation will be,

3m = 51 + 2n            (2)

We need to find the value of m.

In the equation, n should be replaced with the aforementioned value (2)

3m = 51 + 2(2 + m)

3m = 51 + 4 + 2m

3m - 2m = 51 + 4

m = 55 inches

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The equation C equals seven and represents how many ice cream cones see are sold within a certain number of minutes M add a certain ice cream shop determine the constant proportionality A 17 B 7 c 1 D 1/7

Answers

The constant of proportionality for the given equation is 7.

What is constant of proportionality?

The ratio that establishes a proportional relationship between any two given values is referred to as the constant of proportionality. The constant of proportionality may also be referred to by the names constant ratio, constant rate, unit rate, constant of variation, or even rate of change.

Given:

The equation C = 7M and represents how many ice cream cones see are sold within a certain number of minutes M add a certain ice cream shop.

We have to find the constant of proportionality.

Since, if the equation is of the form y = kx,

then k is the constant of proportionality.

Here the given equation is

C = 7M

Hence, the constant of proportionality is 7.

Option (B) is the correct answer.

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The answer is 7

...........

Therefore option B is correct

Have a nice day! ( :  > )

The Excel file Automobile Options provides data on options ordered together for a particular model of automobile. By examining the correlation matrix, suggest some associations.

Answers

You must count the instances of each rule and the instances of each item in each rule separately using the data in the Excel file in order to determine the support, confidence, and lift of a rule.

Open the Excel file and look for the information on the options ordered for the specific model of car. This information will probably be presented as a table or a group of columns, where each row represents a distinct order and each column a different choice.

You must count the instances of the rule's components occurring together in the data in order to calculate the support for a rule. You would need to track how frequently the fastest engine choice and the traction control option are selected together, for instance, if the rule is "If the quickest engine, then traction control." This can be accomplished by counting the number of cells in a range that satisfy a specific condition using Excel's COUNTIF function.

The confidence in a rule is calculated by dividing the total number of times the items in the premise (the "if" component of the rule) occur by the total number of times the items in the rule. The number of times the fastest engine and traction control options are selected together must be divided by the total number of times the fastest engine option is ordered, for instance, if the rule is "If the fastest engine, then traction control."

You must divide the rule's confidence by the support of the item in the rule's conclusion to determine the lift of a rule (the "then" part of the rule). You would need to divide the rule's confidence by the support for the traction control option, for instance, if the rule is "If the quickest engine, then traction control."

To calculate the support, confidence, and lift for each of the rules, you can use the Excel formulas indicated above together with any other Excel functions or tools you are familiar with.

It is crucial to keep in mind that the precise formulas and processes you will need to follow will depend on the exact data and rules you are working with, so you might need to modify the following instructions to suit your personal needs.

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a high school senior uses the internet to get in- formation on february temperatures in the town where he’ll be going to college. he finds a web site with some sta- tistics, but they are given in degrees celsius. the conver- sion formula is °f

Answers

It reaches a high of 51.8 degrees Fahrenheit. There is a 59.4 degree F range. 12.6 degrees Fahrenheit is the standard deviation. The average temperature is 33.8°F. The median temperature is 35.6 °F. IQR is 60.8 degrees Fahrenheit.

What is statistics?

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem. The study of gathering, analyzing, interpreting, presenting, and organizing data in a particular way is the focus of the mathematic branch known as statistics. The process of gathering data, classifying it, presenting it in a way that makes it understandable, and then conducting additional analyses of the data is known as statistics.

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when given two figures or their coordinates, how do you determine which is the preimage (the original) and which is the image (the transformed one)?

Answers

A preimage (the original) is the two-dimensional shape before any transformation. The image (the transferred one) is the figure after transformation.

A transformation is a process that manipulates a polygon or other two-dimensional object an a plane or coordinate system. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system.

Following are the types of transformations:-

Dilation, Reflection, Rotation, Shear, Translation.

Preimage is the set of all elements of the domain that are mapped into a given subset of the co-domain.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

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8-a/2=3(4-5a)????????????????????

Answers

Answer:

a = [tex]\frac{8}{29}[/tex]

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Which of the following types of radiation has charge? Select all that apply; this Is.a multiple = cholce question: gamma alpha beta positron

Answers

Alpha, Beta and Positron carries charges.

What are Nuclear Reactions?

When a more stable element is to be formed, nuclear reactions frequently produce or capture particles or radiation. The names of several nuclear reactions are given using these particles since they play a significant role in the reaction.

Alpha carries high energy helium nuclei consisting of two protons and two neutrons which makes it a positive particle.

Beta is a high energy electron which is a Negative particle.

Positrons are particles with the same mass as an electron but with 1 unit of positive charge which makes it a Negative particle.

Gamma rays are not particles but carries a very high-energy electromagnetic radiation.

Hence, Alpha is a positive charged particle, Beta is a negative charged particle and Positron is a negative charged particle.

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x^2 - xy (if x = 8 and y = -3)

Answers

Answer: 88

Step-by-step explanation:

x^2 - xy

8^2-(8(-3))

64-(-24)

64+24

88

30% of a is 18

Pls help!! Looking for what A is!

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 18}}{\left( \cfrac{30}{100} \right)18}\implies 5.4[/tex]

What is a formula for the nth term of the given sequence?
2, 4, 8...
I need an answer by december 16, 8:00 am (PLEASE)

Answers

Answer: 2n-1

Step-by-step explanation:

FAST
If Gabriel has 25.65 kg an he sold 3.87 how many kg he has?

Correct answer gets a Brainliest and 5 stars.

Answers

Answer:

12.78

Step-by-step explanation:

He has 25.65, sold 3.87. 25.65-3.87=21.78

Pls help I don’t understand

Answers

Answer:

why u remove my answer

Step-by-step explanation:

the board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.00 minutes. to make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 42 randomly selected calls. the mean wait time was calculated to be 4.14 minutes. assuming the population standard deviation is 0.55 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.00 minutes with a 98% level of confidence?

Answers

This fails to reject the null Hypothesis.

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

a recent survey reported that small businesses spend 24 hours a week marketing their business.

these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.

assuming that the population standard deviation is 6.1 hours.

z = x'- u / α(/√n) = (5.05-4.50/1.83/√38) = 1.85

Hence, This fails to reject the null Hypothesis.

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the same 1200 tomatoes from the previous question have a mean weight of 143 grams and a standard deviation of 35 grams. if the weights are normally distributed, approximately how many tomatoes weight between 73 grams and 178 grams?

Answers

The number of tomatoes weight between 73 grams and 178 grams is 978.

A data set's mean provides the average  and the standard deviation provides information on the range (dispersion) of values around the mean. Squaring is used to determine standard deviation but not mean.

The mean changes when the same value is added to each data point, but the standard deviation remains unchanged.

The standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

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Graph the inverse for the relation on the same graph as the function.

Answers

The function in the graph is y = x² - 1 and the inverse of the function is y = √(x + 1) and the graph is attached

How to find the inverse function

Examining the graph the vertex is v(h, k) = (0, -1)

Quadratic equation is of the form

y = a(x + h)² + k

using the vertex we write the equation as

y = a(x + 0)² - 1

using point (1, 0) a is calculated

0 = a(1 + 0)² - 1

a = 1

The equation of the graph is

y = a(x + 0)² - 1

y = x² - 1

The domain of the equation is all real numbers and the range is calculated from the inverse

x = √(y + 1)

y + 1 ≥ 0

y ≥ -1

Inverse function

y = x² - 1

x² = y + 1

x = ±√(y + 1)

exchanging the variables

y = ±√(x + 1)

taking the positive function

y = √(x + 1)

here the domain and range is exchanged

range: all real numbers

domain: x  ≥ -1

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using the histogram with the normal curve displayed, please determine each of the following values. remember that z

Answers

A Z-score is a metric that quantifies the connection between a value and the mean of a set of values.

z-scores are calculated by (observed value - mean)/standard deviation

Mean = 40

Standard Deviation = 8

Observed Value = 52

z-score = (52 - 40)/8 = 2

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3+2 x what = 17? This is due tomorrow but I’m stuck pls help

Answers

Answer:

7

Step-by-step:

2 * 7 =14 first due to PEMDAS

3 + 14 = 17

Answer:

7

Step-by-step explanation:

Let "x" be denoted as the variable for "what".

The question posted is: 3 + 2x = 17

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 3 from both sides of the equation:

2x + 3 = 17

2x + 3 (-3) = 17 (-3)

2x = 17 - 3

2x = 14

Next, divide 2 from both sides of the equation:

(2x)/2 = (14)/2

x = 14/2

x = 7

7 is your answer.

~

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How many times smaller is 1.9 × 103 than 4.085 × 105?
a. 0.46
b. 2.15
c. 46
d. 215

Answers

The 1.9 × 103 is 2.15 times smaller than 4.085 × 105. (Option B)

In order to determine a number is how many times smaller than the other number, the second number is divided by the first number. Division and multiplication, both used in the situation are basic arithmetic operations. In the give case, the in order to determine how many times smaller 1.9 x 103 is than 4.085 x 105, is given by

4.085 x 105/1.9 x 103

First simplifying by multiplying the terms in the numerator and denominator

4.085 x 105/1.9 x 103

428.925/195.7

Dividing the numerator by denominator,

428.925/195.7 = 2.15

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It's been almost 24 hours since I have gotten an answer, I really need help please answer correcly its not about the points3

At a restaurant all the freezers are set to a temperature that is below 3F let x be the temperature of a freezer which inequality represents temperatures below 3F.

Answers

Answer:

The answer is the third one. It means less than 3 degrees. So X is less than 3 degrees meaning the degrees of the freezer is below 3 degrees.

Step-by-step explanation:

PLS ANSWER ASAP!!! 60 PTS

Answers

Yes, it should be applicable.

Answer: I think the answer is A.

Volcanic eruptions of Mt. Vesuvius follow a Poisson distribution with an average of 2.5 eruptions every 100 years. Use that to answer the following:
a) Find the probability that there will be exactly 3 eruptions in the next 200 years. (6 points) (Round your answer to 4 decimal places)
b) Find the probability the next eruption occurs between 25 and 50 years. (6 points) (Round your answer to 4 decimal places)

Answers

(a) The probability that there will be exactly 3 eruptions in the next 200 years is 0.1404

(b) The probability the next eruption occurs between 25 and 50 years is 0.2488

Let X be the random variable denoting the volcanic eruptions as follows

Poisson distribution with parameters  λ.

the average of the eruption is  λ=2.5 per year.

Also for 200 eruptions the average of the eruptions is  λ=2.5 per year.

Also, for 200 eruptions, the average of the eruptions is  λ=5 per year.

The probability is:

P(X=3) = e⁻³(5)³/3!

= 0.0067×125/3×2×1

= 0.8422/6

= 0.1404

(b) Let X be the random variable denoting the volcanic eruptions as follows

Poisson distribution with parameters  λ and also let 2.5 eruptions in 100 years is same as waiting time of:

100/2.5

= 40 years per eruption

therefore, X ~ Exp(β=40)

the probability density function of X is:

f(x) = { 1/40 e⁻¹/⁴⁰ , x>0

          0 ,  otherwise}

And cumulative distribution function is:

P(X≤x) = 1 - e, x>0

the probability is:

P(25<X<50) = P(X<50)-P(X<25)

P(25<X<50) = e²⁵/⁴⁰ - e⁵⁰/⁴⁰

= e⁻°·°²⁵ - e⁻¹·²⁵

= 0.5353 - 0.2865

= 0.2488

Hence we get the required answer.

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suppose that 8% of the patients tested in a clinic are infected with hiv. furthermore, suppose that when a blood test for hiv is given, 94% of the patients infected with hiv test positive and that 7% of the patients not infected with hiv test positive. what is the probability that

Answers

By using Probability, it can be calculated that

a) Probability that the person test positive for HIV is infected with HIV = 0.54

b) Probability that the person test positive for HIV is not infected with HIV = 0.46

c) Probability that the person test negative for HIV is infected with HIV = 0.0056

d) Probability that the person test negative for HIV is not infected with HIV (P(not HIV|-ve)) = 0.9944

What is Probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Probability that the person is infected with HIV (P(HIV)) = 0.08

Probability that the person is not infected with HIV (P(not HIV)) = 0.92

Probability that the person infected with HIV test positive (P(+ve|HIV)) = 0.94

Probability that the person infected with HIV test negative (P(-ve|HIV)) = 0.06

Probability that the person not infected with HIV test positive (P(+ve|not HIV)) = 0.07

Probability that the person not  infected with HIV test negative (P(-ve|not HIV)) = 0.93

By using Baye's Theorem of probability,

a) Probability that the person test positive for HIV is infected with HIV (P(HIV|+ve))  =

[tex]\frac{0.94 \times 0.08}{0.94 \times 0.08 + 0.92 \times 0.07}[/tex] = 0.54

b) Probability that the person test positive for HIV is not infected with HIV   (P(no HIV|+ve)) = 1 -  0.54 = 0.46

c) Probability that the person test negative for HIV is infected with HIV (P(HIV|-ve) =

[tex]\frac{0.06 \times 0.08}{0.06 \times 0.08 + 0.93 \times 0.92}[/tex] = 0.0056

d) Probability that the person test negative for HIV is not infected with HIV (P(not HIV|-ve))  = 1 - 0.0056 = 0.9944

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Complete Question

Suppose that 8% of the patients tested in a clinic are infected with hiv. furthermore, suppose that when a blood test for hiv is given, 94% of the patients infected with hiv test positive and that 7% of the patients not infected with hiv test positive. what is the probability that

a) The person test positive for HIV is infected with HIV

b) The person test positive for HIV is not infected with HIV

c) The person test negative for HIV is infected with HIV

d) The person test negative for HIV is not infected with HIV

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refer to the accompanying normal-form game of price competition. what is(are) the nash equilibrium(equilibria) strategy(ies) for this game? Bond market values are expressed as a percentage of their par (face) value. For example, a company's bonds might be trading at 103, which means that they can be bought or sold for ____ of their par value.Multiple choice question.103%100.3%10.3%0.103% An organic food company needs to paint its new silo. The silo is a cylinder with a height of 24 yards and a base 3 yards in diameter. The paint the company has selected will cover 150 square feet per gallon. How many gallons of paint will be needed to paint the top and lateral surface of the silo? Return on investment (ROI) is calculated using which of the following formulas?Multiple ChoiceAverage operating assets Net operating incomeNet operating income Average operating assetsTotal assets Average net operating incomeAverage net operating income Total assets in each of the four scenarios shown in the images, a large bat lets out a short burst of ultrasonic sound, which a smaller bat hears a moment later. if the large bat flies at 3.750 m/s and the small bat flies at 13.60 m/s , order the frequencies that the smaller bat detects in the four scenarios from highest to lowest. assume that the speed of sound is 343.0 m/s . a. the large bat is on the left and is flying to the right. the small bat is on the right and is flying to the right. b. the large bat is on the left and is flying to the left. the small bat is on the right and is flying to the right. c. the large bat is on the left and is flying to the right. the small bat is on the right and is flying to the left. d. the large bat is on the left and is flying to the left. the small bat is on the right and is flying to the left. home-canned low-acid foods, such as beans and corn, may be contaminated with clostridium botulinum, a bacterium that produces a dangerous toxin. to destroy the toxin, the food should be 4. Identify two reasons that Europeans wanted to increase trade with China. what types of problems can be solved using the greatest common factor?what type of problems can be solved using the least common multiple What anatomical region would the stoma created by the descending colostomy be in?. TRUE/FALSE one of the attractive features of mutual funds is that they offer small investors a diversified portfolio and professional management. some users report that frequent system crashes have started happening on their workstations. upon further investigation, you notice that these users all have the same application installed that has been recently updated. where would you go to conduct a root cause analysis? five cards are darwn from a standard deck of cards. how many different hands consist of four queens and one king Find a number so that 100% of it is 26. the temperature is increased from 20c to 100c. by what factor does the rms speed of an ideal molecule change? Carrie's blood is undersupplied with hemoglobin. How might this affect her health?. explain why there is no minus sign in this equation for heat (unlike the equation for work). (think in terms of microscopic definition of entropy.) If a company earns net income of $48 million in Year 8, has 20 million shares of common stock outstanding, pays a dividend of $1.00 per share, and has annual interest costs of $10 million, then O the company's retained earnings for the year would be $28 million; the $28 million in retained earnings would be shown on the company's balance sheet as a reduction in equity investment by stockholders in Year 9. O the company's EPS for Year 8 would be $2.40 and its retained earnings for Year 8 would be $38 million (net income of $48 million less interest payments of $10 million); the $38 million addition to retained earnings would cause shareholders' equity investment to increase by $38 million in Year 8. O the company's EPS for Year 8 would be $2.40 and its retained earnings for Year 8 would be $28 million (net income of $48 million less dividend payments of $20 million); the $28 million addition to retained earnings would cause shareholders' equity investment to increase by $28 million in Year 8. O the company's retained earnings for the year would be $18 million (net income of $48 million less dividend payments of $20 million less interest costs of $10 million) and its earnings per share would be $2.00. 0 the company's EPS for Year 8 would be $4.80 and its retained earnings for Year 8 would be $36 million (net income of $48 million less dividend payments of $28 million); the $20 million addition to retained earnings would cause shareholders' equity investment to increase by $28 million in Year 8. jane, a patient in the clinic, comes in with a jagged 3-inch open laceration on her hand, which she calmly shows to you. what is your first priority for care? which is a function of tracheids? a) photosynthesis b) production of sex cells c) water conduction d) food storage due to construction, the speed limit along an 8-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit?