mininum and maximum for the number of hikers who walked between 8 and 19 miles

Mininum And Maximum For The Number Of Hikers Who Walked Between 8 And 19 Miles

Answers

Answer 1

The maximum number of hikers who walked between 8 and 19 miles is 17 and the minimum number is 13.

What is meant by maximum and minimum:

Maximum and minimum are terms used to describe the highest and lowest values, quantities, and a set of variables.

The maximum value is the highest value that a variable or set of variables can take within a given context or range.

Conversely, the minimum value is the lowest value that a variable or set of variables can take within a given context or range.

Here we have a table

The table shows the distance walked by the walkers

From the table,

Between intervals 5 ≤ x < 10 there are 4 hikers

Between intervals 10 ≤ x < 15 there are 7 hikers

Between intervals 15 ≤ x < 20 there are 6 hikers  

Maximum number of hikers who walked between 8 and 19 miles

= 4 + 7 + 6 = 17

Minimum number of hikers who walked between 8 and 19 miles  

= 7 + 6 = 13

Therefore,

The maximum number of hikers who walked between 8 and 19 miles is 17 and the minimum number is 13.

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Related Questions

X-intercept:

y-intercept:

y

1

9

8

7

6

5

NO 10

4

3

2-

1

x

-9-8-7 -6 -5 -4 -3 -2

1

2 3 4 5 6 7 8 9

CON

-2

-3

-4

-5

-6

-7

-8

-9

Answers

Answer: diffrent form so i can help you better

Step-by-step explanation:

0.0005 × 0.007
————————-
0.01

Answers

Answer:

0.00035

Step-by-step explanation:

0.0005×0.007 ×100

—————-------

1

0.0000035 ×100

0.00035

Last question...this is geometry. 15 points to whoever gets it right and can explain

Answers

Answer: x=10

Step-by-step explanation:

sum of all the angles inside triangle is equal to 180degrees.

First angle: 9x-16

Second angle: 7x-5

Third angle: 3x+11

let's sum this angles:

9x-16+7x-5+3x+11=19x-10=180

19x=180+10=190

x=190/19=10

A dot plot titled Mister Hart'students going from 0 to 8. 0 has 1 dot, 1 has 0 dots, 2 has 2 dots, 3 has 2 dots, 4 has 1 dot, 5 has 4 dots, 6 has 2 dots, 7 has 1 dot, 8 has 2 dots. A dot plot titled Misses Perry's Students going from 0 to 8. 0 has 2 dots, 1 has 4 dots, 2 has 1 dot, 3 has 3 dots, 4 has 2 dots, 5 has 1 dot, 6 has 1 dot, 7 has 0 dots, 8 has 1 dot. The data plots represent the hours students study each week in two different classrooms. The mean number of hours a student in Mr. Hart’s class studies is hours. The mean number of hours a student in Ms. Perry’s class studies is hours. A typical student in Mr. Hart’s class studies a typical student in Ms. Perry’s class

Answers

A typical student in Mr. Hart’s class studies 1.56 hours per week and a typical student in Ms. Perry’s class studies 1.67 hours per week.

The mean is the average of a set of data, calculated by adding all the values in the set and dividing the sum by the number of values. The formula for calculating the mean is:

Mean = (Sum of all values) / (Number of values)

To calculate the mean of Mr. Hart’s class, we will first add up all the values from 0 to 8 in the dot plot:

0 + 0 + 2 + 2 + 1 + 4 + 2 + 1 + 2 = 14

We then divide this sum by the total number of values, which is 9:

Mean = 14 / 9 = 1.56

The mean of Mr. Hart’s class is 1.56 hours of studying per week.

Similarly, to calculate the mean of Ms. Perry’s class, we will add up all the values from 0 to 8 in the dot plot:

2 + 4 + 1 + 3 + 2 + 1 + 1 + 0 + 1 = 15

We then divide this sum by the total number of values, which is 9:

Mean = 15 / 9 = 1.67

The mean of Ms. Perry’s class is 1.67 hours of studying per week.

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Triangle EFG is translated 3 units up and 5 units left. What are the
coordinates of E′?

Answers

Answer:

If E(x,y), then E’(x-5,y+3)

Step-by-step explanation:

Depending on E, E’ changes. The new coordinates for E’, however, is (x-5, y+3), if (x,y) is E, since you move left (-) 5 and up (+) 3.

A bicycle shop equips 60% of their bikes with a water bottle holder. 55% of the bikes they sell have a kickstand attached to the bike. 34% of the bikes sold have both

features. What is the probability that a randomly selected bicycle will have a kickstand or a water bottle holder?

Hurry

Answers

The probability that a randomly selected bicycle from a bicycle shop will have either a water bottle holder or a kickstand is 95%, calculated by adding the probabilities of each component being present and subtracting the probability of both being present.

The probability that a randomly selected bicycle from a bicycle shop will have either a water bottle holder or a kickstand is 95%. To calculate this, we first need to consider the probability that a bicycle has a water bottle holder, which is 60%. The probability that the bicycle has a kickstand is 55%. Then, the probability of a bicycle having both a kickstand and a water bottle holder together is the product of the individual probabilities, which is 34%. Thus, the probability that a randomly selected bicycle will have either a water bottle holder or a kickstand is 60% + 55% - 34% = 95%.

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on a scale drawing, 1/4 in =2 foot. what are the dimensions on the scale for a room that is 27 ft by 20 ft​

Answers

i cant fully answer it but i know the steps,

(the link is how you would set it up)

you can replace x with 20 or 27, i would start 20

I have 1,792 Pokémon cards, I also have 7 friends. I want to split the cards between me and the 7 of them. How many cards should each person get? Does the answer of this question has a remainder? Solve and Explain how you got your answer

Answers

We can confirm that each person should receive exactly 224 Pokémon cards, and there won't be any cards left over.

To split the 1,792 Pokémon cards equally between 8 people, including yourself and your 7 friends, you need to divide the total number of cards by the number of people:

1,792 cards ÷ 8 people = 224 cards per person.

So each person should get 224 Pokémon cards.

However, we should also check if there is a remainder after the division. To do that, we can multiply the number of cards each person is getting by the number of people and subtract it from the total number of cards:

224 cards/person x 8 people = 1,792 cards

1,792 cards - 1,792 cards = 0 remainder

Since there is no remainder, we can confirm that each person should receive exactly 224 Pokémon cards, and there won't be any cards left over.

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here are six numbers
-7 -5 -3 3 1 -1
arrange the cards into three pairs with the same total

Answers

Answer:

-7 and 3

-5 and 1

-3 and -1

Step-by-step explanation:

-7 + 3 = -4

-5 + 1 = -4

-3 + -1 = -4

I think this should be the answer
-7+3=-4
-5+1=-4
-3-1=-4

Liz spent her summer break working at Wild Lakes waterpark. At the end of the summer, she put $570 of her earnings into a savings account that earns 1% interest each year.

Answers

The total simple interest earned by Liz at the end of 5 years is found as: $28.5

Explain about the simple interest?

A straightforward but effective idea. Very simply: interest is the benefit for saving - and the penalty of borrowing.

When you deposit funds into a savings account, you are paid interest, or additional money on top. The reason for this is that the bank gives you interest for letting them use your money.When someone owes money, they are assessed this fee. It indicates the time worth of money and is charged in relation to the principal sum. It is the prize for holding out and refusing to accept an early reward.

Principal P = $570

Interest r = 1%

Time t = 5 years.

SI = P*R*t / 100

SI = 570*1*5 / 100

SI = 28.5

Thus, the total simple interest earned by Liz at the end of 5 years is found as: $28.5.

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The complete question is-

Liz spent her summer break working at Wild Lakes waterpark. At the end of the summer, she put $570 of her earnings into a savings account that earns 1% interest each year. Find her simple interest after 5 years.

Martha likes to knit hats and mittens for friends and family. Last fall, she knitted 3 hats and 3
pairs of mittens, which took a total of 51 hours. This fall, she knitted 3 hats and 5 pairs of
mittens, which took a total of 77 hours. If each hat takes the same amount of time and each
pair of mittens takes the same time, how long does it take Martha to knit each item?
hours to knit a pair of mittens.
It takes Martha
hours to knit a hat and

Answers

It takes Martha `4` hours to knit each hat and `13` hours to knit each pair of mittens.

What is meant by hours?

Hours are a unit of time used to measure the duration of an event or activity. An hour is equal to 60 minutes or 3,600 seconds. It is often used to indicate the time of day or to schedule appointments or events.

What is a pair?

A pair is a set of two things that go together or belong together, like a pair of shoes, socks, or gloves. It can also refer to a pair, a duo, or a twosome.

According to the given question

Let's assume that each hat takes `h` hours to knit and each pair of mittens takes `m` hours to knit.

From the given information, we know that:

- 3 hats and 3 pairs of mittens took a total of 51 hours. This means that 3h + 3m = 51.

- 3 hats and 5 pairs of mittens took a total of 77 hours. This means that 3h + 5m = 77.

We can use these two equations to solve for `h` and `m`.

First, let's solve for `h` by multiplying the first equation by 5 and the second equation by 3, and then subtracting the second equation from the first:

15h + 15m = 255

9h + 15m = 231

-----------------

6h = 24

h = 4

So each hat takes Martha `4` hours to knit.

Now we can use either of the original equations to solve for `m`. Let's use the first one:

3h + 3m = 51

3(4) + 3m = 51

12 + 3m = 51

3m = 39

m = 13

So each pair of mittens takes Martha `13` hours to knit.

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form A line has a slope of -4 and a y-intercept of 2. Write its equation in slope-intercept form Write your answer using integers, proper fractions, and improper fractions in simplest​

Answers

Answer: Y= -4x + 2

Step-by-step explanation:

The slope intercept equation is y = mx + b

The slope or m in this situation is -4

The y- intercept or b is 2

When you substitute then slope and y-intercept into the equation you get

Y = -4x + 2

Answer it and show steps please

Answers

Step-by-step explanation:

See image:

a person is selected at random during the republican national convention. suppose the probability that the person selected is a woman is 38%, the probability that the person selected is tall is 54%, and the probability that the person selected is left-handed is 11%. assume that being female, tall, and left-handed are independent of each other. what is the probability that the person selected is a tall, left-handed woman?

Answers

The probability that the person selected is a tall, left-handed woman is 0.02.

Given that, The probability that the person selected is a woman is P(W) = 38% = 0.38

The probability that the person selected is tall is P(T) = 54% = 0.54

The probability that the person selected is left-handed is P(L) = 11% = 0.11

It is given that the events W, T, and L are independent of each other. Therefore, their joint probability is given by:

P(W ∩ T ∩ L) = P(W) × P(T) × P(L) = 0.38 × 0.54 × 0.11 = 0.02292

Now, the probability that the person selected is a tall, left-handed woman is given by:

P(T ∩ L ∩ W) = P(W ∩ T ∩ L) = 0.02292 = 0.02

Therefore, the probability that the person selected is a tall, left-handed woman is 0.02.

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Simplifying positive expressions in multiplication.
Simplify.
(-2b^4a)^5
Write your answer without parentheses.

Answers

Answer:

_2⁵b⁴*⁵a⁵

Answer=_32b²⁰a⁵

PLEASE HELP NEED DETAILED WORD ANSWER I CAN USE
WILL MARK BRAINLIEST

please dont use for points or I will report
sorry!

Answers

Given the following question:

We have 60 balloons in total

4/12 of the balloons are black

3/12 of the balloons are white

We are trying to find the amount of red balloons Carter has:

Let...

B = black

W = white

R = red

[tex]B=(\dfrac{4}{12}) \times60=20[/tex]

         [tex]B=20[/tex]

[tex]W=(\dfrac{3}{12}) \times60=15[/tex]

     [tex]20+15=35[/tex]

     [tex]60-35=25[/tex]

         [tex]R=25[/tex]

Carter has 25 red balloons

Coins are placed into a treasure chest, and each coin has a radius of 1.4 inches and a height of 0.0625 inches. If there are 230 coins inside the treasure chest, how many cubic inches of the treasure chest is taken up by the coins? Round to the nearest hundredth and approximate using π = 3.14.

Answers

Answer: 32.2 cubic inches

Step-by-step explanation:

 The volume of one coin can be calculated using the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.

Substituting the given values, we get:

V = π(1.4)^2(0.0625)

V ≈ 0.14 cubic inches (rounded to the nearest hundredth)

To find the total volume of all the coins, we can multiply the volume of one coin by the number of coins:

Total volume = 230 × 0.14

Total volume ≈ 32.2 cubic inches (rounded to the nearest hundredth)

Therefore, the coins take up approximately 32.2 cubic inches of the treasure chest.

Olivia and Kalina are running a lemonade stand for one weekend. They sell lemonade for $0. 75

per cup. On Saturday, they sell 37 cups. For the weekend, they want to make at least $45. 00 in

sales on lemonade. Let c be the number of cups they sell Sunday,

If they sell 12 cups on Sunday will they reach their goal? Show this work on your paper and use it

to help you answer the next question. *

Answers

Yes, they will reach their goal of $45.00 by selling 12 cups of lemonade on Sunday.

Yes, they will reach their goal. To calculate this we can use the following formula:

Total Sales = (Number of cups sold on Saturday × Price per cup) + (Number of cups sold on Sunday × Price per cup)

Total Sales = (37 × 0.75) + (12 × 0.75)

Total Sales = 27.75 + 9

Total Sales = 36.75

Since 36.75 is greater than the goal of 45.00, they will reach their goal. This can be further verified by looking at the total cost of the cups they sold. 37 cups sold on Saturday at $0.75 each will cost $27.75. Adding the 12 cups sold on Sunday at $0.75 each will cost $9, bringing the total cost of the cups sold to $36.75. This is the same amount that was calculated using the formula above. Therefore, they will reach their goal by selling 12 cups of lemonade on Sunday.

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Please ASAP Help
Will mark brainlest due at 12:00​

Answers

The coordinates of the midpoint of the given segment is; (-15, 4)

How to find the midpoint of the coordinates?

For any specific line segment, it is well known that the midpoint is defined as the halfway between its two endpoints. The expression that is used to find the x-coordinate of that midpoint is expressed as: [(x)1 + (x)2]/2, which denotes the average of the x-coordinates. Similarly, the expression that is used to find the y-coordinate of that midpoint is expressed as: [(y)1 + (y)2]/2, which is the average of the y-coordinates.

We are given the coordinates of the endpoints of the line as;

K(-11, 2) and L(-19, 6)

Thus;

Midpoint Coordinate = (-11 - 19)/2, (2 + 6)/2

= (-15, 4)

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PLS HELP ME QUICK!!!

Answers

Relation 2 and 3 are actual functions with proper domain, co domain, range.

Describe Function?

A function can be represented in several ways, including using algebraic expressions, tables, graphs, or even words. For example, the function f(x) = 2x + 1 defines a relationship between the input x and the output 2x + 1. If we input x = 3 into this function, the output would be f(3) = 2(3) + 1 = 7.

Functions can have different properties, such as being continuous or discontinuous, being differentiable or nondifferentiable, or having maximum or minimum values. Functions can also be classified according to their types, such as linear, quadratic, exponential, logarithmic, trigonometric, or piecewise-defined functions.

Functions are used extensively in mathematics, science, engineering, economics, and many other fields to describe real-world phenomena and to solve practical problems. They are also studied in their own right, as objects of mathematical interest and beauty, with deep connections to many other areas of mathematics, such as calculus, analysis, and algebra

Relation 2 and 3 are actual functions with proper domain, co domain, range.

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The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. a juice box is selected at random. what is the probability of the complement of choosing an orange juice box?
a. startfraction 1 over 18 endfraction
b. startfraction 4 over 9 endfraction
c. startfraction 5 over 9 endfraction
d. startfraction 17 over 18 endfraction

Answers

The probability of the complement of choosing an orange juice box is 17/18. (option d)

The complement of an event is the probability of that event not occurring. In this case, the event is choosing an orange juice box, so the complement is choosing any other juice box (i.e., an apple juice box or a fruit punch juice box).

The total number of juice boxes in the cooler is:

4 + 8 + 6 = 18

The number of juice boxes that are not orange juice boxes is:

4 + 6 = 10

Therefore, the probability of choosing a juice box that is not an orange juice box (i.e., the complement of choosing an orange juice box) is:

10/18 = 5/9

But the question asks for the probability of the complement, which is the probability of not choosing a juice box that is not an orange juice box. This is simply:

1 - 5/9 = 4/9

However, the question asks for the probability of the complement of choosing an orange juice box, not the complement of not choosing an orange juice box. These two probabilities are equal, since the event and its complement always add up to 1. Therefore, the probability of the complement of choosing an orange juice box is:

1 - 8/18 = 10/18 = 17/18

Therefore, the probability of the complement of choosing an orange juice box is 17/18.

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Ballet is one of the most widely performed types of concert dance. Each year, thousands of people flood t
Choreographers plan each movement and step the dancers make. Countless hours of preparation go into pra
Classical ballet is a very difficult dance style to master. It strictly follows traditional ballet technique. Dancer
and artistically express routines. Good technique requires that dancers have proper alignment. Dancers' head
perfectly. Ballet places a lot of emphasis on the lines of the body. "Good lines" are a combination of the body a
from training.
The proper positioning of the feet is especially important to ballet dancing. Turnout is the basis for all ballet
outward from the hips down, and the knee and foot are turned away from the center of the body. A perfect turnc
feet when the dancer is in first position with his or her heels touching. The knees are also supposed to touch, a
One of the most recognizable classical ballet techniques is en pointe dancing. This skill requires that dancer
the tips of their toes for extended periods of time. It takes a lot of training and strength to dance en pointe. The e
abdominal muscles-is used for this technique. Dancers can injure themselves or permanently damage their fee
What does the word lines most likely mean as it is used in this passage?
A. use of abdominal muscles
OB. ability to follow routines
OC.
arrangement of the body
avoiding injury to the body
D.

Answers

The correct option for this question is C. arrangement of the body.

Why it is?

Based on the given passage, the word "lines" most likely refers to the arrangement of the body in ballet dancing. The passage states that "Ballet places a lot of emphasis on the lines of the body" and that "Good lines" in ballet are a combination of the body alignment and artistic expression.

It also mentions that proper positioning of the feet is important for achieving good lines and that turnout, which is the outward rotation of the hips and knees, is the basis for all ballet movements.

Therefore, "lines" in this context is referring to the visual lines created by the dancer's body and limbs in ballet dance, which are essential to proper technique and artistic expression.

Therefore, the correct answer is C. arrangement of the body.

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According to cavalieri's principle, which pair of shapes would have equal volumes?

Answers

Two shapes would have equal volumes if the areas of their corresponding cross-sections are equal at every height.

According to Cavalieri's principle, two shapes have equal volumes if for every pair of parallel cross-sections taken at the same height, the areas of the cross-sections are equal.

1. Two cylinders with the same height and different radii.

  As long as the cross-sectional areas of the cylinders at each height are the same, the volumes will be equal. The radii of the cylinders can vary.

2. Two cones with the same height and different base radii.

  Similar to cylinders, as long as the cross-sectional areas of the cones at each height are the same, the volumes will be equal.

3. Two prisms with the same height and different base shapes.

  If two prisms have the same height and the cross-sectional areas at each height are equal, then the volumes will be equal.

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SOMEBODY PLEASE SEE THIS AND HELP ME IN STUCK​

Answers

Answer:

population: 2,900,904.279

Step-by-step explanation:

You need to calculate the total area first. The figure is made from 2 smaller figures.

Area for the top figure = 159 x (345 - 276) = 159 x 69 = 10971

Area for the bottom figure = 265 x 276 = 73140

Total are = 10971 + 73140 = 84111 mi^2

so you have 34.489 people/mi^2 =>

34.489 x 84111 = 2,900,904.279 people

Convert 2.5 gmm² to kgm²​

Answers

Answer:2.5e-9

Step-by-step explanation:

Find the smallest value of n such that Sn lies within the distance 70 x 10^-6 of the true sum

Answers

Answer:

0.00007

Step-by-step explanation:

Noah wants to share a certain amount of money with 10 people. However,at the last minute,he is thinking about decreasing the amount by 20 so he can keep 20 for himself and share the money with only 5 people. How much money is Noah trying to share if each person still gets the same
amount

Answers

The money is Noah wants to share  with people if each person still gets the same amount is 4.

Explain about the substitution method?

The algebraic approach to solving simultaneous linear equations is known as substitution method.

The value of one variable through one equation is substituted in the second equation in this procedure, as the name implies.It is only useful if the change of variable explains the situation and, ideally, makes it possible to solve the problem once it has been simplified. First, considering a situation in which variables exist, a substitution is simply a change of variable.

Let the total amount Noah have be'y'.

The initial amount shared by Noah among 10 people be 'x'.

Then,

y = 10x

But,

Amount shared is decreased by 20, ans sharing with 5 people.

Then,

y - 20 = 5x

Put value of y.

10x = 5x + 20

On solving;

x = 20/5

x = 4

Thus, money is Noah wants to share  with people if each person still gets the same amount is 4.

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6=5/3​y
pls help me get this answer nowwww uwuwu

Answers

Answer:

exact form: [tex]\frac{18}{5}[/tex]

decimal form: 3.6

mixed number form: [tex]3\frac{3}{5}[/tex]

Answer:

y=18/5

Step-by-step explanation:

6=5y/3

multiply both sides:

6*3=5y

simplify 6*3 to 18:

18=5y

divide both sides by 5:

18/5=y

answer: y=18/5

J(7,2)k(-4,9),l(-3,-1)
Classify triangle

Answers

The triangle fοrmed by J(7,2), K(-4,9), and L(-3,-1) is a scalene οbtuse triangle.

What is scalene οbtuse triangle?

A triangle is said tο be οbtuse scalene in geοmetry if οne οf its angles is larger than 90 degrees but less than 180 degrees, while the οther twο angles are bοth less than 90 degrees. Measurements fοr the three sides and angles vary.

Tο classify the triangle fοrmed by the pοints J(7,2), K(-4,9), and L(-3,-1), we need tο find the lengths οf its sides and apply the triangle classificatiοn criteria.

Using the distance fοrmula, we can find the lengths οf the sides:

[tex]JK = \sqrt{[(7 - (-4))^2 + (2 - 9)^2]} \\JK =\sqrt{ (11^2 + (-7)^2)} \\ JK =\sqrt{170} \\KL = \sqrt{[(-4 - (-3))^2 + (9 - (-1))^2]} \\KL =\sqrt{ (1^2 + 10^2) } \\KL = \sqrt{101} \\LJ = \sqrt{[(-3 - 7))^2 + ((-1) - 2)^2]} \\LJ=\sqrt{ (10^2 + (-3)^2)} \\LJ = \sqrt{109}[/tex]

Since all three sides have different lengths, the triangle is scalene.

Therefοre, the triangle fοrmed by J(7,2), K(-4,9), and L(-3,-1) is a scalene οbtuse triangle.

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A
B
Which of the following graphs will
display the narrowest parabola?
y = -2x²+x+3
f(x) = -4x² - 30x

Answers

A graph that would display the narrowest parabola is f(x) = -4x² - 30x.

How to determine the equation of a parabola?

In Mathematics, the standard equation of the directrix lines for any parabola can be modeled or represented by the following mathematical expression:

y = a(x - h)² + k.

Where:

h and k are the vertex.a represents the leading coefficient.

Generally speaking, the larger the absolute value of the leading coefficient of a quadratic function, the narrower would be graph of its parabola.

In this context, we have the following:

y = -2x²+x+3; a = -2

f(x) = -4x² - 30x; a = -4

|a| = |-2| = 2

|a| = |-4| = 4

Therefore, |-2| is less than |-4|.

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13 < q - 7 (show your work What of the following is not considered practice before the IRS per Circular 230?A. Corresponding with the IRS in writing B. Talking on the telephone to the IRS about a taxpayer C. Appearing as a witness for a taxpayer D. Representing a taxpayer at a hearing 3. How are territorial citizens different from full citizens in terms of representation and votingRights ? Chris works at a bookstore and earns $7. 50 per h hour plus a $2 bonus for each book she sells. Chris sold 15 books. Shewants to earn a minimum of $300. Which inequality represents this situation, and what quantities are true for h? MATH WORK! HELP! I WILL MAKE U BRAINLIST :) What was the name of the cattle trail that stretched from Waco to Kansas City?Through what Texas city did the Southern Pacific rail line pass?From San Angelo heading west and north to Cheyenne, the Goodnight-Loving Trail passed through what fort? What town?CRITICAL THINKINGHow do you think these cattle trails and rail lines affected the later development of interstate highways?Where do you think the major cattle markets and shipping centers were and why?HELP ME !!!! One of each pair of chromosomes comes from each I dont understand this someone please help cyclohexene is treated first with osmium tetroxide and second with sodium bisulfite. what is the spatial arrangement of the diol product(s) that are formed from this reaction? Optimal Capital Structure with HamadaBeckman Engineering and Associates (BEA) is considering a change in its capital structure. BEA currently has $20 million in debt carrying a rate of 8%, and its stock price is $40 per share with 2 million shares outstanding. BEA is a zero growth firm and pays out all of its earnings as dividends. The firm's EBIT is $14.131 million, and it faces a 30% federal-plus-state tax rate. The market risk premium is 6%, and the risk-free rate is 5%. BEA is considering increasing its debt level to a capital structure with 45% debt, based on market values, and repurchasing shares with the extra money that it borrows. BEA will have to retire the old debt in order to issue new debt, and the rate on the new debt will be 12%. BEA has a beta of 1.2.A. What is BEA's unlevered beta before restructuring? Use market value D/S (which is the same as wd/ws) when unlevering. Round your answer to two decimal places.B. What are BEA's new beta after releveraging and cost of equity if it has 45% debt? Round your answers to two decimal places.Beta Cost of equity %C. What is BEA's WACC after releveraging? Round your answer to two decimal places. %What is the total value of the firm with 45 % debt? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to three decimal places.$ million Assume that a two-dimensional (2D) array arr of String objects with 3 rows and 4 columns has been properly declared and initialized.Which of the following can be used to print the elements in the four corner elements of arr ?A. System.out.print(arr[0, 0] + arr[0, 3] + arr[2, 0] + arr[2, 3]);B. System.out.print(arr[1, 1] + arr[1, 4] + arr[3, 1] + arr[3, 4]);C. System.out.print(arr[0][0] + arr[0][2] + arr[3][0] + arr[3][2]);D. System.out.print(arr[0][0] + arr[0][3] + arr[2][0] + arr[2][3]);E. System.out.print(arr[1][1] + arr[1][4] + arr[3][1] + arr[3][4]); When simplifying the negative fractional powers of (8/64)^-2/3, what is the answer? Why are Quentin and his friends surprised by Margos record collection when they enter her room? The potential energy of a diatomic molecule (a two-atom system like H2 or O2) is given by the Lennard-Jones potential where r is the separation of the two atoms of the molecule and A and B are positive constants. This potential energy is associated with the force that binds the two atoms together. Find the equilibrium separationthat is, the distance between the atoms at which the force on each atom is zero. (b) Is the force repulsive (they are pushed apart) or attractive (they are pulled together) if their separation is smaller than the equilibrium separation? if the return distribution for the asset is described as below, what is the standard deviation for the asset's returns? (do not round your intermediate calculations.) return probability 12% 15% 10% 50% 7% 35% select answer from the options below 1.79% 0.05% 3.19% 2.91% Springfield mogul Montgomery Burns, age 85, wants to retire at age 100 in order to steal candy from babies full time. Once Mr. Burns retires, he wants to withdraw exist0.9 billion at the beginning of each year for 8 years from a special offshore account that will pay 22 percent annually in order to fund his retirement Mr. Bums will make 15 equal end-of-the-year deposits in this same special account that will pay 22 percent annually. How much money will Mr. Burns need at age 100 and how large of an annual deposit must he make to fund this retirement account? a. How much money will Mr. Burns need when he retires? ___ billion Explain the process of weathering in 6 steps. Its really science as the subject The fact that microwaves do not work while the "door" is stillopen is a consequence ofa. considering the human factor in product design.b. considering newness in product design.c. trying to limit the impact on global warming in product design.d. striving for high reliability in product design. Estimates of the benefits received by each cost department are as follows: Page 1 of 2 Required:1 +a. Prepare a schedule allocating the service department costs to the production departments using the direct allocation method. b. Prepare a schedule allocating the service department costs to the production departments using the sequential allocation method. 2. Explain the differences between service and production departments. Give three examples for each. Issue date: Friday17 th February 2023 Submission Deadline: Sunday 26" February 2023 at11:59PM Submission method: You must upload your work on blackboard by the deadline. Your work should be uploaded in word or pdf format. Do not upload picture or any format that cannot be downloaded for grading. Work sent by email will not be graded. A clothing designer is interested in determining if there is a relationship between a persons age and their preference for a particular style of dress. A survey is written and asks questions including questions about age and dress size. Should these questions be included in the survey?A. The questions are acceptable because the researcher is studying the relationship between age and preferred dress style.B. The questions should not be included because people may not want to answer questions about age and dress size.C. The questions can be included but there should be an option where the participant can choose not to respond to the questions.D. The questions should not be included because surveys should never ask for personal information.