One less than one fourth the square of a number.

Answers

Answer 1

Answer:

1/4m²-1

let m be the number.


Related Questions

The replacement set for an equation is {12, 18, 32, 48}. The equation is represented by the sentence, "34 of a number is 24." What is the solution set of the equation? Responses {12} open curly bracket 12 close curly bracket, {18} open curly bracket 18 close curly bracket {32} open curly bracket 32 close curly bracket {48}

Answers

Answer: 38 67 54 90

Step-by-step

Answer: 32

Step-by-step explanation: I took the test:)

A map that was created using a scale of 1 inch : 3 miles shows a lake with an area of 18 square inches. what is the actual area of the lake?

Answers

Answer:

The area of the lake is actually 182 square miles 1 inch represents one side 3 miles long the other side is also 3 miles. 3×3=9 square miles. 1 Square Inch on the map represents 9 Square Miles.Step-by-step explanation:

The actual area of the lake is 162 square miles if the map that was created using a scale of 1 inch : 3 miles.

What is a scale factor?

The ratio among comparable dimensions of an object and a model with that object, is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

We have:

A map that was created using a scale of 1 inch : 3 miles

1 inch = 3 miles

1 square inch = 9 square miles

The area of the lake = 18 square inches

The actual area of the lake = 18×9 = 162 square miles

Thus, the actual area of the lake is 162 square miles if the map that was created uses a scale of 1 inch : 3 miles.

Learn more about the scale factor here:

brainly.com/question/22312172

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A basketball team practices their shooting. The function f(x) represents the number of baskets made during practice, where x is the number of players at the practice. Does a possible solution of (12, 36) make sense for this function? Explain your answer.
a. Yes. The input and output are both possible.
b. No. The input is not possible.
c. No. The output is not possible.
d. No. Neither the input nor output is possible.

Answers

C. No. The output is not possible

show that the (5,5),(5,0),and (0,0) are the vertices of an isosceles triangle.

Answers

An isosceles triangle has 2 sides that are equal.

I plotted these points. See attached screenshot.

The first side's distance is 5. You can just count those units along the x axis. (0,0) and (5,0) share the same y coordinate, so the difference in x coordinates is 5-0 = 5.

The next sides's distance is also 5. You can count that distance on the coordinate plane. (5,5) and (5,0) share the same x coordinate, so the difference in y coordinates is 5-0 = 5.

These two sides make a right triangle and are equal length. This is an isosceles right triangle.

show that the (5,5),(5,0),and (0,0) are the vertices of an isosceles triangle.

I need help with this can you please help.↑↓

I need help with this can you please help.

Answers

Answer:

O = 8

K = 0

L = 1

V = 7

I = 2

M = 4

H = 9

E = 6

T = 9

N = 5

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 10 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!

Answer:

1) O = 8

2) K = 0

3) L = 1

4) V = 7

5) I = 2

6) M = 4

7) H = 9

8) E = 6

9) T = 9

10) N = 5

Step-by-step explanation:

Manny uses a sprinkler system to water his lawn. Each lawn sprinkler sprays a distance of 9 feet in every direction. One lawn sprinkler is broken and is only spraying two thirds of the area it usually covers. How many square feet of the yard is being watered by the broken sprinkler? Leave the answer in terms of π.

6π square feet
12π square feet
27π square feet
54π square feet

Answers

54(pi) ft^2

9 is the radius
A = (pi)r^2

A = 81(pi)
81(pi) * 2/3 = 54(pi) ft^2
It would be the first one, A. 9 is the radius and you times it by 2/3 and you get 6

PLS HELP ME AS FAST AS YOU CAN PLSSSS

PLS HELP ME AS FAST AS YOU CAN PLSSSS

Answers

Answer:

Its the second one

Step-by-step explanation:

It's the second opinion

Here is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.

Create another scale drawing of the window frame that uses a scale of 1 cm to 12 inches.

Answers

Answer:

its 10

Step-by-step explanation:

bc I like don't know

Answer: it could be 2cm,3 inches or 1cm, 6inches or 1cm, 12inches

Step-by-step explanation:

so draw a rectangle with the 1cm, 12inches like the one 1cm, 6inches just 2xthat their factors in the scale uint

Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111

Answers

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

The products of the given pairs of numbers are:

(-5)(4.2) = -21

(-7)(-3) = 21

(4)(5) = 20

(2.5)(-9) = -22.5

So, the pairs of numbers and their products are as follows:

(-5)(4.2) = -21 matches with -21.

(-7)(-3) = 21 matches with 21.

(4)(5) = 20 matches with 20.

(2.5)(-9) = -22.5 matches with -22.5.

I hope this helps!

can someone help? im not sure about this questons and its getting me so stressed out :( pls help :(

can someone help? im not sure about this questons and its getting me so stressed out :( pls help :(
can someone help? im not sure about this questons and its getting me so stressed out :( pls help :(
can someone help? im not sure about this questons and its getting me so stressed out :( pls help :(
can someone help? im not sure about this questons and its getting me so stressed out :( pls help :(
can someone help? im not sure about this questons and its getting me so stressed out :( pls help :(

Answers

Answer:

Lets start:

Picture 1:-

1. Length of EH= 12cm

2. Angle G= 55 degrees

Picture 2:-

1. Scale factor= 1/4 (I'm not sure about this but this is what I think it is ;-;)

2. Value of y= 28 cm

Picture 3:- [Picture 3 is cropped so I'm guessing its the last one so imma answer those questions :D]

1. Scale factor= 5 (Again I'm not sure but its my best guess)

2. Value of z= 5

Picture 4:-

1. Scale factor= 4 (I'm pretty sure you know that my scale factor answers are guesses so yea ;-;)

2. Value of b= 12

Step-by-step explanation:

Since i can't add links in answers you can watch:

Similar figures

-By The Organic Chemistry Tutor

It'll help you understand how we solve these questions

Well anyways i hope this clears your concepts :D

Answer:

Step-by-step explanation:

EH is 12cm as the shape has been enlarged by scale factor two (all sides have been multiplied by 2).

Angle G remains the same at 55 degrees.

PART A

Scale factor for the triangle = 1/4

Value of y = 28cm

3) z = 5, scale factor = 5

SIMILAR RECTANGLES:

Scale factor = 4

Side b = 12cm

Hope these answers work out for you

PLEASE HELP EASY QUESTION Which models represent the sum? AND WILL GIVE BRAINLIEST IF CORRECT

1.1 + 0.6
THERE IS MORE THEN ONE ANSWER
Select EACH correct answer. PICK MORE THEN ONE ANSWER

PLEASE HELP EASY QUESTION Which models represent the sum? AND WILL GIVE BRAINLIEST IF CORRECT1.1 + 0.6THERE

Answers

Answer:

C and D

Step-by-step explanation:

C and D both show 1.1 + 0.6

The others do not

PLEASE HELP! WILL MARK BRAINLIEST!

PLEASE HELP! WILL MARK BRAINLIEST!

Answers

Answer:

1) width = 10 + 2x

length = 20 + 2x

2) area = (10 + 2x)(20 + 2x)

= 4(5 + x)(10 + x)

3) 4(5 + x)(10 + x) = 600

(5 + x)(10 + x) = 150

50 + 15x + x^2 = 150

x^2 + 15x - 100 = 0

(x - 5)(x + 20) = 0

x = 5 feet

The width of the walkway is 5 feet.

I think this is correct

Can I get some help plzzz. Also plz give steps

Can I get some help plzzz. Also plz give steps

Answers

Answer:

r=2.9 cm

Step-by-step explanation:

Given:

volume=486π cm^3

height=18 cm

volume of a cone=πr^2h

486=π*r^2*18

486=18π*r^2

486/18=πr^2

27/π=r^2

27/3.14=r

8.5987=r^2

\(\sqrt{8.5987\) =r

2.9323 =r

2.9=r(after converting to nearest tenth)

R=2.9cm………………………………………

help quick! math linear functions

help quick! math linear functions

Answers

Answer:-5 it is point slope form and it is asking for m which is -5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Which of these situations can be represented with an integer​ that, when combined with the opposite of −5​, makes​ 0?
Select all that apply.
A.
You earn ​$5 from your chores.
B.
You walk down 5 flights of stairs.
C.
The temperature drops 5°F.
D.
You climb up 5 flights of stairs.
E.
You spend ​$5 on a game.

Plz help plz I will give points and brain list

Answers

Answer is B and D



Walk Down and Climb Up is both opposite.

If you climb up 5 flights of stairs will give zero. The correct option is D.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that situations can be represented with an integer​ that, when combined with the opposite of −5​, makes​ 0.

If you climb up 5 flights of stairs it will give the positive value of 5 when it is added to -5 then it will give zero.

Therefore, If you climb up 5 flights of stairs will give zero. The correct option is D.

To know more about Expression follow

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Please help me <3

The figure shows Triangle ABC and some of its transformed images on a coordinate grid:
Which of the four triangles was formed by a translation of Triangle ABC?

1.
2.
3.
4.

Please help me &lt;3The figure shows Triangle ABC and some of its transformed images on a coordinate

Answers

Bro pay attention to class...

A "translation" is basically "move" but a fancier word. So as you can see, triangle 1 is from a reflection, triangle 2 is also from a reflection, triangle 3 is from a rotation and we're left with triangle 4, which looks identical to the original triangle. Therefore, it is triangle 4.

I honestly don’t know I need help too

Which scenario can be modeled by the linear function
y = -15x + 500?

A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.

B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.

C. A carpet cleaning service charges $500 plus an additional $15 for every hour.

D. A membership fee for a movie streaming service is free, but each rental costs $15.

Answers

I think the answer is C
The answer is a because it is able to be modeled unlike the rest

what is the length of PR?

what is the length of PR?

Answers

Answer:

x = 6

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

20            24

--------- = ---------

5                x

Using cross products

20x = 24*5

20x = 120

Divide each side by 20

20x/20 = 120/2

x = 6

Answer:

c.) 6

Step-by-step explanation:

here angle is same for both diagrame 75 and 55 so

we can apply the equality on the side

so AB/AC = PQ/PR

so 20/24 = 5 /x

    X=(5*24)/20

   x=6

so ans=6

What is 43 · 62 · 7 Can someone please explain I need help with my assignment.

Answers

.    

Is a math symbol middle schoolers use for another way to write x in multiplication.

Answer:

18662

Step-by-step explanation:

43*62=2666

2666*7=18662

20 Points. Please Help Quickly I Would appreciate it.
Please look at the pic

Answers

Answer:

There is no picture did u put in link for picture?

Step-by-step explanation:

Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction

Answers

Answer:

0.35(800)=x

x=number of tickets sold in advance

Step-by-step explanation:

Answer:

Divide 35÷100 which equals 0.35 then multiply 0.35×800 which equals 280 so the answer is 280 so the equation is 0.35×800=280.

Step-by-step explanation:

(CORRECT ANSWER GETS BRAINLIEST) From the information in the graph, what is the mean number of books the boys read?A.3 B.4 C.5 D.6

(CORRECT ANSWER GETS BRAINLIEST) From the information in the graph, what is the mean number of books

Answers

B.4!
Explanation: Count how many books the boys read in total: 7, 2, 3, 5, 3
Add them up: 20
Divide by the number of days: 20/5
=4
On Monday 7 read
On Tuesday 2read
On Wednesday 3 read
On Thursday 5 read
On Friday 3read

Total read (7+2+3+5+3)
=20
Mean = Σf/n
Σf= sum of data(frequencies)point
n= total number of data(frequencies)
=20/5
=4
Man number of books the boys read is 4
Option B

PLS HELP, WILL REWARD BRAINLIEST !!

The five-number summary of a data set is given below.

Minimum: 3 Q1: 12 Median: 15 Q3: 16 Maximum: 20

Which of the following is a true statement about outliers for this distribution?

The distribution’s maximum is an outlier.
The distribution’s minimum is an outlier.
There are no outliers for this distribution.
Distribution outliers cannot be determined.

Answers

Answer: B. (The distribution’s minimum is an outlier.)

Step-by-step explanation: Using the data above, the minimum 3 is farthest away from the median, Q3, and the maximum. Basically, since it`s the farthest away the answer is B.

The bearing of point B from point A is 034°.
Find the bearing of point A from point B.

Answers

Step-by-step explanation:

180 minus 34 degrees gives 146° not that sure

180-34=146 so the answer is 146 degrees

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.


Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside


Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

please help asap asap asap

please help asap asap asap

Answers

Answer:14

Step-by-step explanation:

\(3 \times (4 + 6) - 16 = \)

\(3 \times (10) - 16 = \)

\(3 \times 10 - 16 = \)

\((3 \times 10) - 16 = \)

\(30 - 16 = \)

\(14\)

Please help I need text evidence so please include that in your response I will give you brainlest if you have. Good detailed answer I’m sorry if this is a lot to ask for the story is freak the mighty btw

Please help I need text evidence so please include that in your response I will give you brainlest if

Answers

Answer:

cite,evidence,cite,evidence, summary it basically means answer the question give evidence from the story explain do it again and then sum up your writing, i hope this is right.

Step-by-step explanation:

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared

Answers

Robin will need to wash her car 4 times to have spent the same amount at both car washes. I hope this helps!
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared
It will be 35 dollars

The price of Stock A at 9 A.M. was​ $15.75. Since​ then, the price has been increasing at the rate of​ $0.05 per hour. At​ noon, the price of Stock B was​ $16.53. It begins to decrease at a rate of​ $0.13 per hour. If the stocks continue to increase and decrease at the same​ rates, in how many hours will the prices of the stocks be the​ same?

Answers

Answer:

the price of Stock A and Stock B will be the same after 3.5 hours.

Step-by-step explanation:

15.75 + (0.05 × 3) = 15.90

15.90 + 0.05t= 16.53 - 0.13t

0.05t + 0.13t = 16.53 - 15.90

0.18t = 0.63

t = (0.63 ÷ 0.18)

t = 3.5

whats the surface area?

whats the surface area?

Answers

Answer:

  1108 in²

Step-by-step explanation:

You want the total surface area of the pentagonal prism shown.

Base area

The area of each of the two pentagonal bases is the sum of the area of the yellow rectangle and the area of the triangle above it. That sum is ...

  A = LW +1/2bh

  A = 5(12) +1/2(12)(9) = 12(5 +9/2) = 114 . . . . square inches

Lateral area

The lateral area of the prism is the sum of the areas of the 5 rectangles. That sum will be the product of the perimeter of the pentagonal base and the distance between bases.

  LA = (12 +5 +11 +11 +5)(20) = (44)(20) = 880 . . . . square inches

Total area

The total surface area of the figure is the sum of the two base areas and the lateral area:

  SA = 2(114 in²) +880 in² = 1108 in²

The surface area of the composite figure is 1108 in².

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whats the surface area?
Other Questions
A point has coordinates A(-3, 5). Find the coordinates of its image if it's translated by (x - 2, y + 1)a. A'(-5, 6)b. A'(1, 6)c. A'(-1, 6)d. A'(-1, 4) Language is typically not delivered in a monotone voice but involves a moving up and down in pitch, somewhat like a melody, known as ___. I need the best topic to do a speech? and some quote also a beat of introduction the narrator in the passage speaks from the point of view of an outsider who is nevertheless knowledgeable about the communitys history and practices an outsider who is nevertheless knowledgeable about the communitys history and practices a an all-knowing observer who understands all the characters deepest thoughts and feelings an all-knowing observer who understands all the characters deepest thoughts and feelings b a storyteller who invents an unbelievable story to entertain the community a storyteller who invents an unbelievable story to entertain the community c a central character whose trustworthiness the reader is invited to doubt a central character whose trustworthiness the reader is invited to doubt d a member of a community with insight into its people and their experiences Que hace la maestra? a) Ella dibuja en la pizarra b) Ella come una pizzac) Ella bebe agua d) Ella mira a sus estundiantes BLACK BEAUTY BY ANNA SEWELL, WHAT IS THE MAIN CONFLICT IN THIS STORY Select the correct answer.In January of 1862, approximately how many soldiers were in the Union's military?O 400,000O 610,000O 550,000O 250,000 A Ferris wheel is 21 meters in diameter and completes 1 full revolution in 12 minutes. A Ferris wheel is 21 meters in diameter and boarded from a platform that is 1 meter above the ground.The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1full revolution in 12 minutes. The function h (t) gives a person's height in meters above the ground tminutes after the wheel begins to turn.Part A: I need to find the amplitude, midline, and period of h(t). Part B: Assume the person had just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t=0. Find a formula for the height function h(t). Part C: If the Ferris wheel continues to turn, how high off the ground is a person after 33 minutes? Write the skeleton appears lyrics What was one effect of new technology in farming after World War II?A. Farms could hire fewer workers and remain productive.B. Farms could hire more workers to boost their crops.C. Farms could become smaller and more manageable.D. Farms could concentrate on decreasing supplies. If the sales price per unit were to increase by 10%, variable expenses were to increase by 12.5%, and fixed expenses were to increase by 20%, what would be the new contribution margin per unit In this problem, you will explore angle relationships.b. Make a conjecture as to the relationship between J K L and D B C . 7. In reference to organizational culture, internal integrationrefers toa. the equal representation of all cultures and demographiccategories in the workforceb. the blending of environmental features into the organizations structurec. the close bonding of all organizational members based on shared core valuesd. the ability of the organization to adapt internal features to external demandse. the level of political activity which is integrated into decision-making The measure of an angle is 30 more than its complement. find the measure of the angle and its complement Part:a which statement describes the central idea of the text? a. It is common for volcanoes to hide underneath ice sheets, and they usually remain inactive due to the weight of the ice. B. If the volcanoes under the west antarctic ice sheet erupted, it would be because humans thinned the ice sheet. C. While the volcanoes under the west antarctic ice sheet appear to be active, they are buried to deep to have an effect if they erupt. D, the activity of the volcanoes underneath the west antarctic ice sheet will affect the ice sheet as a whole, but the exact impacts are unknown What is the purpose of a fitness log?A.to apply the FITT principleB.to limit the amount of time spent on varying activitiesC.to track and monitor progressD.to increase personal interest in activities yeah i dont know about this one sorry what were the advantages permanent capital city over the mobile courts of the earlier period 15 is 9 than j what is j in this question what was the importance of the arcticles of confederation