John Muir was an American naturalist born in Scotland on April 21, 1838. As one of the first advocates of the United States' wilderness preservation, Muir spent his career writing letters, essays and books about many of his experiences in the Sierra Nevada mountains, located in northern California. Muir's influence on the history of American wilderness continues to live on past his death (in the early twentieth century) as people of all ages visit and hike through the 221 miles of the John Muir Trail, named in Muir's honor. The trail begins in Yosemite National Park and concludes at Mount Whitney, which contains the highest peak of the continental United States.

The following table compares Mount Whitney"s height, in meters, to other monumental peaks of the world.

Mountain Location Height (in meters)
of Highest Peak
Mount Whitney California, United States 4,418.38 meters
Mount Fuji Fuji-Hakone-Izu National Park, Japan 3,775.86 meters
Mount Everest Great Himalayas of southern Asia 8,849.87 meters
Mount Kilimanjaro Tanzania, Africa 5,894.83 meters
Mount Olympus Mytikas, Greece 2,919.07 meters
Use the data in the table to complete Parts A, B, and C. In your final answers, include your work for all estimates and calculations.

Part A:

Use scientific notation to estimate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?

Part B:

Use scientific notation to calculate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?

Part C:

Given the calculation in Part B comparing the highest peaks of Mount Everest and Mount Olympus, can you conclude that the estimate in Part A is reasonable? Answer in complete sentences.

Answers

Answer 1

Answer:

boo

Step-by-step explanation:


Related Questions

Which of the following inequalities matches the graph? (1 point)
-10
-0
10
1. x>-3
2. x<-3
3. y>-3
4. y<-3

Answers

Given:

The graph of an inequality.

To find:

The inequality.

Solution:

From the given graph it is clear that the boundary line is a vertical line parallel to y-axis at the distance of 3 units from the left of y-axis. So, the equation of boundary line is

[tex]x=-3[/tex]

Now, the shaded portion lies on the left of the boundary line. It means the values which are less than 0 are included in the solution set.

The boundary line is a dotted line. So, x=-3 is not included in the solution set.

So, the required inequality is

[tex]x<-3[/tex]  

Therefore, the correct option is B.

What is the equation of the line

Answers

it’s either y = 0 or x = 0, i believe it’s x= 0 but it could be the other

Answer:

x=-9

Step-by-step explanation:

convert 16 into binary

Answers

convert 16 into binary number is 0b10000

Expand the linear expression 4(10x - 4).
40x - 16
40x + 16
40x - 4
10x - 16

Answers

Answer:

the correct answer is 40x-16

Step-by-step explanation:

here,

=4(10x-4)

=40x-16

Plis help me plis! I need help with this

Answers

T=PV/K

Starting with V=KT/P, multiply P on both sides to get PV=KT

Then divide K on both sides to leave T alone

And you get.....T =PV/K

Answer:

The light blue/greenish one that says T=PV/K or Greeland

Step-by-step explanation:

We can make the equation more simplier by multiplying both sides by P to remove fractions.

It would become VP=KT

The only answer with VP or PV is B, or the T=PV/K

also, to isolate T, divide the VP=KT by K on both sides to isolate T.

VP/K=T

What is the least common denominator of 11/6 and 9/10?

Answers

Answer:

The least common denominator is 30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

the least common multiple ( L.C.M ) of 6 and 10 = 30

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3100 seats. The students left 1395 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

Answer: 55% of the seats in the theater were filled by the 6th graders on the trip.

Step-by-step explanation:

Given: Total seats = 3100

Seats vacant=  1395

Seats occupied by 6th graders = 3100-1395 = 1705

The percentage of the seats in the theater were filled by the 6th graders on the trip = [tex]\dfrac{\text{Seats occupied by 6th graders}}{\text{Total seats}}\times100[/tex]

[tex]=\dfrac{1705}{3100}\times100\\\\= 55\%[/tex]

Hence, 55% of the seats in the theater were filled by the 6th graders on the trip.

determine the measure of each segment then indicate whether the statements are true or false

Answers

Answer:

[tex]d_{AB}\ne d_{JK}[/tex]

[tex]d_{AB}\ne \:d_{GH}[/tex]

[tex]d_{GH}\ne \:d_{JK}[/tex]

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)B(2, 5)

Finding the length of AB using the formula

[tex]d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

        [tex]=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}[/tex]

         [tex]=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}[/tex]

         [tex]=\sqrt{6^2+1}[/tex]

         [tex]=\sqrt{36+1}[/tex]

        [tex]=\sqrt{37}[/tex]

[tex]d_{AB}\:=\sqrt{37}[/tex]

[tex]d_{AB}=6.08[/tex] units        

Given the vertices of the segment JK

J(2, 2)K(7, 2)

From the graph, it is clear that the length of JK = 5 units

so

[tex]d_{JK}=5[/tex] units

Given the vertices of the segment GH

G(-5, -2)H(-2, -2)

Finding the length of GH using the formula

[tex]d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

         [tex]=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}[/tex]

          [tex]=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}[/tex]

          [tex]=\sqrt{3^2+0}[/tex]

           [tex]=\sqrt{3^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]d_{GH}\:=\:3[/tex] units

Thus, from the calculations, it is clear that:

[tex]d_{AB}=6.08[/tex]  

[tex]d_{JK}=5[/tex]

[tex]d_{GH}\:=\:3[/tex]

Thus,

[tex]d_{AB}\ne d_{JK}[/tex]

[tex]d_{AB}\ne \:d_{GH}[/tex]

[tex]d_{GH}\ne \:d_{JK}[/tex]

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

What is the value of the expression 1/2-(-1/3+2/5)

Answers

answer 13/30

or 0.43 repeating

Step-by-step explanation:

Which inequality represents all values of x for which the product below is
defined?
please help very confused

Answers

Answer:

 C.  x ≥ 5

Step-by-step explanation:

You must meet both conditions:

 (x -5) ≥ 0 and (x +2) ≥ 0

For the first condition, ...

 x ≥ 5 . . . . add 5 to both sides

For the second condition ...

 x ≥ -2 . . . . subtract 2 from both sides.

Since both conditions must be met, we must have ...

 x ≥ 5

i hope this helps :)

The sum of the reciprocals of two consecutive integers is 9/20
. Find the two integers.

Answers

Answer:

4,5

Step-by-step explanation:

The LCM of 4 and 5 is 20, and their sum is 9, so 1/4+1/5 = 9/20.

brainliest pls :)

For a dinner party, a catering company charges a set fee $150 plus $20 per person. How much will it cost for 35 people to attend the event?

Answers

Answer:

$700 for 35 people but if you want to add the fee it will be $850

I NEED HELP NOW !!!!!!! In order for each sheep to get enough grass to eat, there should be 7 sheep for each acre of land. Which farm has the correct ratio of sheep to acres? Select the best answer from the choices provided. A. The Twelve Oaks farm has 14 sheep and 2 acres of land. B. The Tara farm has 28 sheep and 3 acres of land. C. The Butler farm has 35 sheep and 6 acres of land. D. The Scarlett farm has 21 sheep and 2 acres of land. 10 POINTS

Answers

Answer:

A: The Twelve Oaks farm has 14 sheep and 2 acres of land.

Step-by-step explanation:

For every 7 sheep, there has to be one acre of land. In order for you to find how many sheep are needed for each acre, you would multiply the amount of acres and you should get the amount of sheep that farm holds.

A. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.

B. 3 x 7 = 21 meaning there should be only 21 sheep at a farm that only has acres of land.

C. 6 x 7 = 42 meaning there should be only 42 sheep at a farm that only has 6 acres of land.

D. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.

Hope this helps!

Please tell me if I am incorrect I enjoy learning from my mistakes!

Good luck!

hi need help with math
some one help

Answers

Answer:

Ether C or D. hope this helps

While standing on a 50 foot high roof, Santa throws an ornament up into
the air with an initial velocity of 40 feet per second. How long will it take to
hit the ground? Round your answer to the nearest tenth.*
PLEASE HELP ASAP!

Answers

Answer: 1.25

Step-by-step explanation: you gotta divide 50 and 40.

HELP GIVING AWAY 55 POINTS!!!!
Pete wants to mix 4 quarts of 20% orange juice concentrate with some 60% pineapple juice concentrate to get a 50% punch concentrate for a party. How much of the 60% pineapple juice concentrate should be used? please answer ASAP and explain thought process

Answers

Answer:

12 quarts

Step-by-step explanation:

Let the amount of pineapple juice be x quarts, the concentration of juice is as following equation:

4*0.2 + x*0.6 = (4 + x)*0.50.8 + 0.6x = 2 + 0.5x0.6x - 0.5x = 2 - 0.80.1x = 1.2x = 12

It’s time to lock down the design details for the redesigned Brick and Egyptian candles. Because of manufacturing constraints, the base length for each candle has to be at least 2 cm and can be no more than 10 cm. Make a recommendation for the base dimensions of each candle. Explain how you determined your base dimensions. Your reasoning does not have to be all math related.

Answers

Answer:

THE SMALLEST FORMS:

- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3

- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3

- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3

- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3

The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost  per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.

THE BIGGEST FORMS:

- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3

- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3

- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3

- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3

The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is  0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle

The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market,  you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.

If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.

Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:

Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4

The new length is 10-4=6 and the new width is 2+4=6.

Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)

What is the exponential form of the expanded form below? 10.10.10.10.10. A 5.10 B 5)10 C 10)1. D 10)5 ​

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer: D AKA (10*5)

Step-by-step explanation:

I took the test on edge 2020 and it was correct!! and 10 5 times would make more sense being D which is 10*5

STAY SAFE :)

Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points (3, -1) and (1, 1).

Answers

Answer:

Plug it in.

y = -1, y1 = 1

x = 3, x1 = 1

-1 - 1 = m( 3 - 1)

-2 = 2m

m = -1

The slope is -1

y = -x +b

-1 = -3 +b

b = 2

The equation is y = -x + 2

Hope this helps.

Step-by-step explanation:

Determine the number of subsets of {sock, shoe, shirt, hat, glove}

14
14

16
16

32
32

20

Answers

Your moms butt HAHAHAHAHHAHHHAHAHHHAHAHHAHAHHHIM SO FUNNY

In the expression 2a-5+4a-9, name the constants​

Answers

Answer:

-5 and -9 are the constants, can also be written -14

PLEASE HELP, TWENTY POINTS PLUS BRAINLIEST
Write an explicit function to represent the following sequence.
3,9, 27, 81,...

Answers

The equation would be if y is the numbers in the sequence (like 3, 9, 27) and x is the is the number in the order (like 3 is 1, 9 is 2, 81 is 4) the the equation would be y = 3^x.

You want to learn karate at a fitness center. You have two options; option A is to pay a $300 registration fee plus $10 per additional lesson. Option B is pay $35 for each lesson you attend. Make equations to represent the total cost of Option A and B.

Answers

Answer:

Option A: 300 + 10x

Option B: 35x

Step-by-step explanation:

option A:

$300 + $10 per lesson

Total cost = 300 + 10x

Option B:

$35 per lesson

Total = 35x

Where,

x = number of lessons

The equations to represent the total cost of Option A and B are 300 + 10x and 35x respectively

A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What length of fencing is required? Round the answer to the nearest meter. А 25 m B x 25 m 45° The length of fencing required is meters.​

Answers

Answer:

Length of the fence required = 135 m

Step-by-step explanation:

Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid

Perimeter of ABCD = AB + BC + CD + AD

Since, AB = BC = EF = ED = 25 m

From the given right triangle BEC,

m∠EBC = m∠ECB = 45°

ΔBEC will be an isosceles triangle.

So, BE = EC

By Pythagoras theorem,

BC² = BE² + EC²

25² = 2(EC)²

EC = [tex]\frac{25}{\sqrt{2}} =17.7[/tex] m

And DC = (DF + EF + EC)

             = EC + EF + EC [Since, DF = EC]

             = 2EC + EF

             = 35.4 + 25

             = 60.4 m                            

Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25

                                              = 135.4 m

                                              ≈ 135 m

Therefore, length of the fence required = 132 m

I can't figure out it's multiple choice​

Answers

Answer:1,5

Step-by-step explanation:

gimme brainliest

Write 968,000 in scientific notation.
A. 968 × 103
B. 96.8 × 102
C. 9.68 × 104
D. 9.68 × 105

Answers

The answer is D I believe

Which statement is not always true for a parallelogram?

Answers

Answer:

b

Step-by-step explanation:

Answer:

Diagonals are congruent drop a like if you got it right

Step-by-step explanation:

HURRY PLEASE!!! 10 MINUTES!!!!!!!!!!

Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and proposes two methods for collecting data. Method 1: As golfers approach the first tee, give some golfers wrist bracelets with magnets and some golfers wrist bracelets without magnets. During the round of golf, keep track of the length of the golfers’ shots. Method 2: Contact golfers who have purchased wrist bracelets with magnets and ask them to provide information about their shot length. Which statement about these methods is true? Method 1 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it could include golfers from many golf courses. Both methods are observational studies because they both collect information about shot length.

Answers

Answer:

I think it is D

Step-by-step explanation:

Answer:

C

EDGE

Step-by-step explanation:

calculate 1/2 - 1/3× 6/7​

Answers

Answer:

3/14

Step-by-step explanation:

This is because 1/2-1/3 is 1/6 and then 1/6 times 6/7 is 3/14

Answer:

here u go

Step-by-step explanation:

Fourteen boxes of candles were sold for $91.00. What is the cost of 1 box?​

Answers

Answer:

$6.50 per 1 box

Step-by-step explanation:

$91.00 ÷  14 boxes = $6.50 per 1 box

Check Work:

$6.50 x 14 boxes = $91.00

Other Questions
One of two lawmaking bodies in Congress where representation is basedon population. THE CORRECT ANSWER IS 12 FAVORS!! A compound is an example of pure substance True False The sum of two integers is 9 their difference is 5 what are the 2 integers Help please! This has to do with the Pythagorean theorem. k) 12y + 15 + y 3 6y 9 = yalguien me puede ayudar por favor?:( Brandi wants to participate in an after-school program. She has to choose between one art class, three dance classes, bwo gymnastics classes, or three sports casses. She cannot decide, so she writes the name of each class on a slip of paper and draws one slip out of a bag. What is the probability that she does not draw a dance class? Which of the following represents the measures of all angles coterminal with a -220 angle?O 360 + 140n, for any whole number nO 360 + 140n, for any integer nO 140 + 360n, for any whole number nO 140 + 360n, for any integer n What happened in 1914 that led to the start of World War I?A Russian nationalist assassinated the chancellor of Germany. A German submarine sank the civilian ship Lusitania.A British submarine decoded a secret German telegram.A Serbian nationalist assassinated the archduke of Austria-Hungary. 30% de que nmero es 42 ? Which equation can be used to solve for x in the following diagram?(6z- 15)Choose 1 answer.z= (6z-15)O z-(6z-15) = 90O z+(6z- 15) = 904 of 7 In the 1980s, the US and Colombian governments worked together to stop the drug trade. What were the conditions of the agreement? A. The United States agreed to give Colombia millions of dollars to stop drug traffickers. B. Colombia agreed to help the United States reduce drug use. C. Colombia agreed to send drug traffickers to the United Sates for sentencing. D. The United States agreed to send drug traffickers to Colombia for sentencing. Please select the best answer from the choices provided A B C D Read this line from the text:The United States was at peace with that nation and, at the solicitation of Japan, was still in conversation with its Government and its Emperor looking toward the maintenance of peace in the Pacific.What is the most likely meaning of the word maintenance, based on your reading of this text? (5 points) aRepairs bContinuation cDestruction dLoss The monthly expenditures on food by single adults in one city are monthly distributed with a mean of $410 and a standard deviation of $70 What height in meters must the student climb in order to reach the top of the hill? Helppp Pleaseee Ill give u pointssss which of the following words does not describe mrs.morningstar Plzz I need help due today!!!! 1. Find the slope of the line that passes thru the points (7,11) (13,17). A sentence composed of two independant clauses is called:a. Simple sentencec. Complex sentenceb. Compound sentenced. Compound-Complex sentence