Does the graph f(x)=-2x^2 -1 have a maximum or a minimum? Explain.

Answers

Answer 1

Answer:

It has a maximum

Step-by-step explanation:

The way I think about it is looking at "a" (the leading variable's coefficient, so __x²), if it's negative, the graph is a frown, but if it's positive, it's a smile. In this case, a is -2, so the graph would have the shape of a frown, which has a maximum.

I hope this helped!


Related Questions

Philip wants to give $156 to United Way, but he wants to give it over the coming year. If he signs up to have a regular amount withheld from his savings each week and given to United Way, how much will be taken from his pay for that purpose every week?

Answers

Answer:

Hence in 52 weeks he will distribute 156 $ with 3 $ per week from his pay

Step-by-step explanation:

Given:

156 $ to United way  for  a year.

With each weeks.

To Find:

How much amount he will take for pay for giving to United way.

Solution:

He wants to give money to united way in a year

So there are 365 days per year

And he held money from is his pay every week

So there 7 days per weeks.

Hence Total number of weeks in a year will given by,

=365/7

=52 weeks per year

Now he held every week from his pay to United way

And Total amount to distribute is about 156 $ in 52 weeks.

So Every week amount will be

=156$/52

=3 $ /week

Final answer:

To donate $156 to United Way over a year, Philip needs to have $3 withheld from his savings each week.

Explanation:

To calculate the amount Philip will need to have withheld every week to give $156 to United Way over a year:

First, find the number of weeks in a year (52 weeks).

Divide the total amount to be donated ($156) by the number of weeks in a year to find the weekly amount: $156 ÷ 52 = $3.

Therefore, Philip will need to have $3 withheld from his savings each week to donate $156 to United Way over a year.

A planet's radius is approximately 1,534 mi. About two-thirds of the planet's surface is covered by water.
Enter an estimate for the land area on the planet. Round the answer to the nearest million.

Answers

Answer:

ok so the earth radius is 1534mi so if that is the radius than the area is 7.39×10^6so then you divide that into 3 pieces so each piece would be 2,463,333.3333 the nearest million would be 2,000,000

Step-by-step explanation:

To find the land area of a planet with a radius of approximately 1,534 miles and two-thirds water coverage, we calculate the total surface area and take one-third of that as the land area. The land area is approximately 9,867,658 square miles, which rounds to 10 million square miles.

To estimate the land area on the planet with a radius of 1,534 miles that is two-thirds covered by water, we first calculate the planet's total surface area using the formula for the surface area of a sphere, which is 4πr². Plugging in the radius:

Total surface area = 4π(1,534)² ≈ 29,602,975 square miles.

Since two-thirds of the planet's surface is covered by water, one-third is land. Therefore, the land area is approximately:

Land area = ([tex]\frac{1}{3}[/tex]) × Total surface area ≈ ([tex]\frac{1}{3}[/tex]) × 29,602,975 ≈ 9,867,658 square miles.

When rounded to the nearest million, the estimate for the land area is 10 million square miles.

1. Andre drinks 15 ounces of water, which is 35% of a bottle. How much does the bottle hold?

Use for the number of ounces of water the bottle holds.

Equation:

Solution:

Answers

Answer:

43 ounces of water

Step-by-step explanation:

Kindly refer to the attached image for explanations

Answer:

Step-by-step explanation:

she

Simplify:-(x +9) -3(4x - 3)

Answers

Expand
-x-9-12x+9
Collect like terms
-13x

Look at the attached picture

Hope it will help u...

What is the area of the irregular figure below?
12in.
6 in.
4in.
WILL GIVE BRAINLIEST NEED HELP ASAP

Answers

Answer:

can not be a triangle

Step-by-step explanation:

4 plus 6 equals 10 not nore than twelve.

The production rate at a marble manufacturer is 120 marbles a minute.


1) How many marbles can be produced in an 8 hour shift?
A) 28,800 marbles
B) 48,000 marbles
C) 57,600 marbles
D) 60,000 marbles

2) If the manufacturer operates 4 days a week with two shifts each day (a day shift and a night shift), how many marbles are produced in a week?
A) 230,400 marbles
B) 345,600 marbles
C) 460,800 marbles
D) 921,600 marbles

Answers

Answer:

C) 57,600 marbles

C) 460,800 marbles

Step-by-step explanation:

First we need to determine how many minutes in 8 hours

8 hours* 60 minutes/1 hour = 480 minutes

Take the marbles per minute * time in minutes

120 marbles / minutes * 480 minutes = 57600 marbles

This would be the number of marbles per shift

4 days with 2 shifts per day = 8 shifts per week

8 shifts * 57600 marbles / shift =460800 marbles per week

Answer:

1) C) 57,600 marbles

2) C) 460,800 marbles

Step-by-step explanation:

1) 120 × 8 × 60

57,600

2) 4 × 2 × 57,600 marbles

460,800

2 1/3 * 2 1/4 * 1 3/8

Answers

Answer:

7.21875

Step-by-step explanation:

HELP!!! Can someone answer this question for me??
Determine ratio of A to B. Round as indicated.

A = 36 π square inches is the area of a circle with diameter 12 inches . B = 144 square inches is the area of a square with sides of length < 12 inches .
a.) 4/π b.) 6/π c.) π/4 d.) π/6



Answers

Answer:

  c.)  π/4

Step-by-step explanation:

Form the desired ratio and simplify:

  A / B = circle area / square area

  = (36π)/(144) = (π·36)/(4·36) = π/4 . . . . matches choice C

what power of 7 is 2041? 2041=7^6-2x

Answers

Answer:

x = 1

Step-by-step explanation:

2401 = 7⁶⁻²ˣ

7⁴ = 7⁶⁻²ˣ

4 = 6 - 2x

2x = 6 - 4

2x = 2

x = 1

Final answer:

There is no integer power of 7 that exactly equals 2041, as 7 to the power of 4 is 2401, which is the closest integer power of 7 that is higher than 2041.

Explanation:

The question asks to determine the power of 7 that equals 2041, which is written mathematically as 2041 = 7x. To solve this, one approach is to estimate and refine by trying different powers of 7 until we get close to 2041. Here's how the estimation process could work:

Start with lower powers of 7 like 72 = 49, and increase the exponent.

Notice that 73 = 343 and 74 = 2401.

Since 2401 is just above 2041, we suspect our answer will be close to 4 but slightly less.

Checking with a calculator or using a division strategy, we can confirm that 2041 is slightly below 74, making it clear there's no integer power of 7 that equals 2041.

Therefore, there isn't an integer power of 7 that precisely equals 2041.

Can you plz help with this question ASAP!!!?

Answers

Answer:y=2/3x

Step-by-step explanation:

Tell whether the triangle with the given side lengths is a right triangle.
24,45,52

Answers

Answer:no

Step-by-step explanation:a right triangle needs a 90 degrees angle

A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price. What is the cost of the repair and sales tax combined at Store B?

Answers

Answer:

$1,444.50.

Step-by-step explanation:

To calculate the combined cost of the repair and sales tax at Store B:

Cost of repair at Store B: $1,350

Sales tax rate at Store B: 7%

Now, let's calculate the sales tax:

Sales tax = 1,350 × 7/100 = 1,350 × 0.07 = 94.50

Next, add the sales tax to the repair cost:

Total cost = 1,350 + 94.50 = 1,444.50

Thus, the combined cost of the repair and sales tax at Store B is $1,444.50.

Anika was shown a reduction of a complex figure.

What can Anika conclude about the scale factor and missing measurements? Select three options.
The scale factor is 0.60.
The scale factor is 0.25.
The length of side A is 8.75 cm.
The length of side A is 21 cm.

Answers

Answer:

B, C, AND E

Step-by-step explanation:

The scale factor is, 0.25.

The length of side A is 8.75 cm.

What is a scale factor?

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

From the given information length of the preimage is 60 cm and the corresponding image length is 15 cm.

So, The scale factor is,

= (15/60).

= 1/4.

= 0.25.

Therefore, The length of side A is,

= 35×0.25 cm.

= 8.75 cm.

The length of side B is,

= 25×0.25 cm.

= 6.25 cm.

learn more about scale factors here :

https://brainly.com/question/30215119

#SPJ3

How do you find the area of this shape?

Answers

Answer:

the area is 20

Step-by-step explanation:

If you put the triangles together, it makes a perfect square of 4, 16+4 = 20

Rectangle R was dilated to form rectangle R prime. Rectangle R has a length of 8 and width of 4. Rectangle R prime has a length of 20 and width of 10. Which is the scale factor of the dilation? Five-fourths StartFraction 2 Over 1 EndFraction Five-halves StartFraction 5 Over 1 EndFraction

Answers

Answer:

5/2

Step-by-step explanation:

20/8= 10/4=5/2

A punch bowl is in the shape of a cylinder. the height of the punch bowel is 10inches and the diameter of the punch bowl is 14inches what is the volume of the punch you need to fill your punch bowl 1 inch from the top. use 3.14 and round to the nearest whole number

Answers

Answer:

The volume of the punch bowl is 1385 cubic inches.

Step-by-step explanation:

Cylinder:

The volume of the cylinder is [tex]\pi r^2 h[/tex], where r is radius of the cylinder and h is height of the cylinder.The lateral surface area is [tex]2\pi rh[/tex].Total surface area is  [tex]2\pi r(r+h)[/tex].

Given that,

A punch bowl is in the shape of a cylinder.

The diameter of the punch bowl is 14 inches.

Then the radius of the punch bowl is [tex]=\frac{14}{2}[/tex] = 7 inches.

The height of the punch bowl is = 10 inches.

The punch bowl is need to fill 1 inch from the top.

So, we need to fill the punch bowl = (10-1) =9 inches.

The volume of the punch bowl is = [tex]\pi r^2 h[/tex]

                                                       [tex]=(3.14 \times 7^2\times 9)[/tex] cubic inches

                                                      ≈1385 cubic inches.

Final answer:

To fill a cylindrical punch bowl to 1 inch below the top, you would need to calculate the volume using the formula V = πr²h with the radius being half the diameter, and the height being the bowl's height minus 1 inch. Using the given dimensions, the volume needed is 1383 cubic inches of punch.

Explanation:

Calculating the Volume of a Cylinder Punch Bowl

To calculate the volume of the punch needed to fill a cylindrical punch bowl, we need to use the volume formula for a cylinder, which is V = πr²h. The diameter of the punch bowl is given as 14 inches, so the radius (r) is half of that, which is 7 inches. The height (h) of the punch needed is the height of the bowl minus 1 inch, which is 10 inches - 1 inch = 9 inches. Now, we can plug these values into the formula and use 3.14 for π:

V = π × r² × h = 3.14 × (7 inches)² × 9 inches

Doing the calculation:

V = 3.14 × 49 sq inches × 9 inches = 3.14 × 441 cubic inches = 1383.14 cubic inches. When we round this to the nearest whole number, we get a volume of 1383 cubic inches of punch needed to fill the bowl to the desired level.

you find a mutual fund that offers approximately 4 % APR compounded monthly. How much will you need to invest each month for the next 6 months in order to have $500?

Answers

Final answer:

To reach $500 with a 4% APR compounded monthly, you would need to invest $1.67 each month for the next 6 months.

Explanation:

To calculate how much needs to be invested each month for the next 6 months to have $500 with a 4% APR compounded monthly:

Calculate the monthly interest rate using APR: 4% APR = 4%/12 = 0.3333% monthly rate.Use the present value formula: $500/(1 + 0.3333%) = $500/1.0033333 = $498.33.Subtract the present value from the future value to find the monthly investment required: $500 - $498.33 = $1.67.

This calculation ensures the necessary monthly investment to reach the desired future value, facilitating financial planning and goal setting.

PLZ HELP!!! Will mark brainliest. I need answer as soon as possible because im being timed! I need b and c. Thank you!

Answers

Answer:

Step-by-step explanation:

B part

the variability of the two distributions appears to be about the same.

C part

. /. = .

the separation of . MADs. There is a  difference between the population means. Going to college is worth the effort.

Which graph represents a function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4)?


A, B, C, or D?

EDIT: The answer is C. I guessed right.

Answers

The answer to this question is C.

The y-intercept of a graph is the point, where the graph crosses the y-axis.

The graph with the given details is graph (c)

The given parameters are:

[tex]\mathbf{Domain = (-\infty,4)\ u\ (-4,3)\ u\ (3,\infty)}[/tex]

[tex]\mathbf{y-intercept = (0,3)}[/tex]

[tex]\mathbf{Increasing\ interval = (0,4)}[/tex]

From the list of given options. graph (d) has a y intercept of 2, because it crossed the y-axis at y = 2.

So, graph (d) cannot be the required graph

Graph (a) has a domain of: [tex]\mathbf{(-\infty,5),,,,,}[/tex]

So, graph (a) cannot be the required graph

The domain of graph (b) is [-3,3]

So, graph (b) cannot be the required graph

Hence, the required graph is graph (c)

Read more about graphs at:

https://brainly.com/question/451329

Please answer the following question attached.

Answers

Answer:

Nonlinear

Step-by-step explanation:

Because it is an exponentially growing graph that is not linear.

Answer:

Non-linear

Step-by-step explanation:

If the graph was growing it would be linear.But the graph isn't growing.So it becomes non-linear.

What value of X and Y will make all 3 lines parallel?

Answers

Answer:

x = 19

y = 14

so c is the correct answer

Step-by-step explanation:

for them to be parallel, 5x + 15 has to equal 110 because of the 70 on the opp side making the two supplementary, and 5y has to equal 70

so 5y = 70, making y = 14

then 5x + 15 = 110

to     5x = 95

so     x = 19

PLEASE HELP. 18 points
You design a frame to surround a rectangular photo. The width of the frame is the same on every side as shown. write a polynomial in standard form that represents the combined area of the photo in the frame. find the combined area of the photo in the frame when the width of the frame is 4 inches.

Answers

Answer:

A is 4x^2+84x+440 and B=840 square inches

Step-by-step explanation:

A is 4x^2+84x+440 and B=840 square inches

The task for a is to write a polynomial in standard form that represents the combined area of the photo and the frame. First, lets start with the bottom of the picture and frame.  On the bottom, you have 2x+ 22 inches.  Then the side of the picture and frame is 2x+20 inches. Writing in polynomial form, it would be  (2x+22)(2x+20). You would get 4x^2+84x+440 since you are using the FOIL method. Now for part b, we know that the width of the frame(or x) is 4 inches. Now we plug that into the equation.  84x is 84x4. 84x4=336   x^2 is 16.   There are four of those as you can see in the equation so 16x4=64    

336+64=400 inches    Frame= 400 inches

400 inches plus the picture(440 inches) =  840 square inches.

Length of the rectangular photo = 22 inches

Width of the rectangular photo = 20 inches

Since, width of the frame outside the photo = x inches

Therefore, increase in length and width of the photo with frame = (x + x)

                                                                                                           = 2x inches

Length of the photo with frame = (22 + 2x) inches

Width of the photo with frame = (20 + 2x) inches

Combined Area of the photo in the frame = Length × Width

                                                                      = (22 + 2x)(20 + 2x)

                                                                      = 22(20 + 2x) + 2x(20 + 2x)

                                                                      = 440 + 44x + 40x + 4x²

                                                                      = 4x² + 84x + 440

Therefore, polynomial representing the combined area of the photo in the frame will be (4x² + 84x + 440) square inches.

If width of the frame = 4 inches

Combined area of the photo = 4(4)² + 84(4) + 440

                                                 = 840 square inches

Learn more,

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The supplementary angles differ by 24. Write two equations and find the two angles
HELP!

Answers

Answer:

78°, 102°

Step-by-step explanation:

Let the two Supplementary anglea be x and y degrees, where x > y.

[tex] \therefore \: x - y = 24 \degree...(1) \\ x + y = 180 \degree...(2) \\ adding \: equations \: (1) \: and \: (2) \\ \\ x - y = 24 \degree \\ x + y = 180 \degree \\ - - - - - - \\ 2x = 204 \degree \\ x = \frac{204 \degree}{2} \\ \huge \red{ \boxed{x = 102 \degree}} \\ from \: equation \: (2) \\ 102 \degree + y = 180 \degree \\ y = 180 \degree - 102 \degree \\ \huge \purple{ \boxed{y \: = \: 78\degree}}[/tex]

A teacher says that there are fewer than 30 students but more than 20 in a classroom. The children can be divided into groups of two, three, four, six, and eight with no leftovers. How many students are there?

Need steps

Answers

Answer:

24 students

Step-by-step explanation:

- I would suggest making a list of all numbers between 20-30.

21 (divisible by only 3) = wrong

22 (divisible by only 2) = wrong

23 (not divisible) = wrong

24 (divisible by 2, 3, 4, 6, and 8) = correct

25 (not divisible) = wrong

26 (divisible by only 2) = wrong

27 (divisible by only 3) = wrong

28 (divisible by only 2 and 4) = wrong

29 (not divisible) = wrong

- Now, find if they factor into 2, 3, 4, 6, and 8. I will do this, but read what I put.

- Hope this helps! If you would like a further explanation please let me know.

The number of students in the classroom is 24, as it is the smallest multiple of 2, 3, 4, 6, and 8 that is between more than 20 and fewer than 30.

The student is given a number puzzle in a mathematics classroom setting. Based on the teacher's hints, the number of students in the classroom should be a common multiple of 2, 3, 4, 6, and 8 that also fits within the given range of between more than 20 and fewer than 30. We need to find the least common multiple (LCM) of these numbers that fits the criteria.

First, realize that since the number must be divisible by 8, it must be at least 24 since 16 is too low.

Next, confirm if 24 is also divisible by 2, 3, 4, and 6. It is indeed, as 24=2x12, 24=3x8, 24=4x6, and 24=6x4.

Because 24 is the only number between 20 and 30 that is divisible by all the given numbers, it is the answer.

Thus, the number of students in the classroom is 24.

A company made a storage container with sheet steel walls. The container was in the shape of a rectangular prism, as shown below. Suppose the total cost of the sheet steel was $8384. How much did the sheet steel cost per square meter?

Answers

Answer:

$ 42.78

Step-by-step explanation:

See attachment for the figure

The formula of the lateral area of the rectangular prism is:

LA = perimeter of base × height

Given:

The length of the base 'l' = 9 m

The width of the base 'w'= 5 m

The height of the prism 'h'= 7 m

perimeter of the base can be determined by

Perimeter of base = 2(l  + w ) =>2(9 + 5)

Perimeter of base = 28 m

By using the formula of the lateral area

LA = 28 × 7

LA = 196 m²

Required:

sheet steel cost per square meter=?

Given: The total cost of the sheet steel was $8384

            LA =  196 m²

By Dividing the cost by the lateral area, we'll know our unit cost

therefore, The unit cost = 8384 ÷ 196

The unit cost =$ 42.78

The sheet steel costed $42.78 per square meter

Using the data below, determine the angle for the part of the pie chart the represents the people who prefer dogs?

A. 172.8°
B. 64.8°
C. 6.7°
D. 48°

Answers

Answer:get your money up ohh and its 6.7

Step-by-step explanation:

Answer:

172.8°

Step-by-step explanation:

the answer is in the picture

please like and Mark as brainliest

If the median of five consecutive even integers is 20, what is the value of the smallest integer?

Answers

Answer:

16

Step-by-step explanation:

Median means the middle number. So you can look at it like this:

a,b, 20, c,d

Those are the variables for the numbers we do not know. We do know that they are all even numbers and they are consecutive, meaning in sequence. So if they are all even, then there should be a gap of 2 between each. They should also be in order. Knowing that, you can subtract 2 from 20 to get b, subtract 2 from b to get a, add 2 to 20 to get c, and add 2 to c to get d.

This should be your answer:

16, 18, 20, 22, 24

Consecutive, and even.

Final answer:

The smallest integer in the set of five consecutive even integers with a median of 20 is 16. This is calculated by recognizing the median as the middle value, and subtracting 4 (for two even steps) from the median.

Explanation:

If the median of five consecutive even integers is 20, we can determine the value of the smallest integer by understanding the property of consecutive even numbers and the nature of the median in a symmetrically distributed set. Since the median of this set is the middle value, the five consecutive even numbers can be represented as:

x

x + 2

20 (the median)

x + 4

x + 6

The median, 20, is the third value in this ordered set. To find the smallest value, x, we look two even numbers behind 20. Since consecutive even numbers increase by 2 with each step, we subtract 4 from 20 to find the smallest value.

20 - 4 = 16

Therefore, the smallest integer in this set of five consecutive even numbers is 16.

Factor as the product of two binomials.
x^2+14x+49=

Answers

Answer:

( x + 7 ) ( x + 7 )

Step-by-step explanation:

Product = 49

Sum = 14

Factors = 7 & 7

x² + 14x + 49

( x + 7 ) ( x + 7 )

Answer:

Step-by-step explanation:

x² + 14x + 49 = x² + 7x + 7x + 7*7

= x*( x+ 7) + 7*(x + 7)

= (x + 7)(x + 7)

This table shows the areas of different garden plots in square meters.

This table shows the areas of different garden plots in square meters.

Create a line plot to display the data.

To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.



Area (m²)
Create a line plot to display the data.

To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.



Area (m²)

5.5 6.5 6.0 6.0 6.5 6.0 6.5
7.0 5.5 6.5 5.5 6.0 7.0 5.5
5.5 6.5 6.0 6.5 6.5 6.0 7.0

Answers

Answer:

5.5 goes up 5 times 6.0 goes up 6 times 6.5 goes up 7 times and 7.0 goes up 3 times.

Step-by-step explanation:

c/3 - 7 = 1 solve for c.

Answers

Answer:

24

Step-by-step explanation:

Add 7 to both sides

c/3=8

Multiply both sides by 3

c=24

hope this helped

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Other Questions
How did geography affect fighting in the western theater of the Civil War?The land was very dry and much of the fighting was in the desert.Both sides fought to control higher ground of the regions mountain ranges.Many battles were fought to control rivers that were vital to transportation.The capital of the Confederacy was in the western theater, and fighting centered around it. Which one of the following sentences uses semicolons incorrectly? A. It's going to rain today; therefore, you should bring your umbrella. B. The gorilla became violent; she was protecting her young. C. I don't like chocolate; in fact, I don't like sweets. D. We only have one hour to make the dip finish the soup; which needs to chill, and get dressed. For the study described below, identify the population parameter. A bank manager wants to know the average amount of time customers of his bank have to wait in line. 300 customers were polled and asked their average wait time at the bank. 27 of the 300 people were extremely dissatisfied with the amount of time they had had to wait in line in recent months.A) The 300 customers pollB) The 27 people who were dissatisfiedC) The customers who were waiting in line at the bank the day of the pollD) All customers of the bank Solve for a side in right triangles help if you roll a six-sided die, what is the probability of rolling a number greater than 2? Abbott Landscaping purchased a tractor at a cost of $35,000 and sold it three years later for $17,500. Abbott recorded depreciation using the straight-line method, a five-year service life, and a $2,000 residual value. Tractors are included in the Equipment account. 2. Assume the tractor was sold for $10,900 instead of $17,500. Record the sale Chose the statements below that are TRUE about bases. Group of answer choices Metals in the second group make bases of the form M(OH)2 Ammonium is an example of a "Nitrogen with 3 groups" base Metals in the first group make bases of the form M(OH)2 A nitrogen with three groups and a lone pair is a base since it can accept a proton HNO3 has N as the central atom so it is a base How many mL of 1.01 M LiNO3 solution has 6.63 g of solute? At Robin's Snow Cones, the shaved ice portion of the cone is shaped like a perfect sphere with a diameter of 8 cm. Exactly half of the shaved ice sphere extends above the paper cup holder. What is the volume of ice that extends above the cup to the nearest cubic centimeter? In your calculations, use LaTeX: \pi\:=\:3.14 What was the goal of die-hard Federalists, known as Essex Junto? A) to form a northern confederacy made up of New England and New York B) to elect Burr as president C) to travel to England to speak with King George D) to uphold the Constitution Most earthquakes happen:A. in a ring around the Atlantic Ocean.OOB. near active margins.OOC. near regions with no subduction.OOD. in the middle of continents. Which line is a trend line for the data? CLUES I'm a 2-digit even number. The sum of my digits is 11. If you reverse my digits Iwould be 27 less than I am.Who am I? A surveyor wishes to lay out a square region with each side having length L. However, because of measurement error, he instead lays out a rectangle in which the north-south sides both have length X and the east-west sides both have length Y. Suppose that X and Y are independent and that each is uniformly distributed on the interval [L A, L + A] (where 0 < A < L). What is the expected area of the resulting rectangle? The normal model N(58, 21) describes the distribution of weights of chicken eggs in grams. Suppose that the weight of a randomly selected chicken egg has a z-score of 1.78. What is the weight of this egg in grams Soar Incorporated is considering eliminating its mountain bike division, which reported an operating loss for the recent year of $5,000. The division sales for the year were $1,052,000 and the variable costs were $862,000. The fixed costs of the division were $195,000. If the mountain bike division is dropped, 30% of the fixed costs allocated to that division could be eliminated. The impact on operating income for eliminating this business segment would be: what is the electric potential at point A in the electric field created by a point charge of 5.5 10^-12 C? estimate k as 9.00 10^9 5. Traigo el _porque est lloviendo.O impermeableO cinturnO amarillo What is the proper way to find the Volume of an irregular shaped solid object?A) triple beam balanceB) water displacementC) L x B x HD) 1/2 (height x length x width) Which Native American group protested the termination policy?O A. FEMAO B. AIMO C. NAACPO D. LULAC