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.

Answer:

10^4  ---------------- 10,000

10^-4* 10^2 ------- 1/10^2 = 0.01

10^-4 ---------------- 1/10^4 = 0.0001

10^-4/10^2 -------- 1/10^6 = 0.000001

Answer:

Unit rate= 20

words per minute/ 0.3

words per second

Step-by-step explanation:

We could work out the unit rate in 2 ways:

Per Minute or Per second.

First we will start of with per minute:

Rate=Word/minute=100/5=20

Answer:

100 words to 5 minutes

Step-by-step explanation:

Answer:

48 inches

Step-by-step explanation:

Remember the Pythagorean theorem, where a and b are legs and c is the hypotenuse

a^2 + b^2 = c^2

a= 20

c = 52

now substitute in the given values

20^2 + b^2 = 52^2

400 + b^2 = 2704

solve using inverse operations

400 + b^2 = 2704

-400            -400

b^2 = 2304

b= sqrt(2304)

b=48

Answer:

Step-by-step explanation:

n - the first number

n+1 - the number consecutive to x

n + n+1 = 115

      -1       -1

  2n = 114

  ÷2      ÷2

   n = 57

n+1 = 57 + 1 = 58

Check:  57 + 58 = 115

Answer:

The total value of the cleaning contracts sold is $8,811

Step-by-step explanation:

Here, we are interested in calculating the value of the cleaning contracts sold.

Let the total value of the cleaning contracts sold be $x

Mathematically;

14% of x = 1233.60

14/100 * x = 1233.60

14x = 100 * 1233.60

x = 123360/14

x = 8,811.43

Which is $8,811 to the nearest dollars

The picture above should help

Answer:

x = 4

Step-by-step explanation:

5 multiplied by x and 5 multiplied by -3

5x - 15 = 11 -3(x - 2)

-3 multiplied by x and -3 multiplied by -2

5x - 15 = 11 - 3x + 6

Add 15 to both sides

5x = 26 - 3x + 6

Add 3x to both sides

8x = 26 + 6

Add 26 + 6

8x = 32

Divide 32 by 8

x = 4

Answer:

I think its 32

Answer:

PQ = 14  MQ = 7  PM = 7

Step-by-step explanation:

PQ= PM + MQ = PMQ

If M is the MIDpoint it dissects PQ in half so that means PM = MQ

PQ= 5x-3+11-2x

PQ = 3x + 8

5x - 3 = 11 -2x

+2x          +2x

7x - 3 = 11

    +3    +3

7x = 14

7x / 7 = 14/7

x = 2

Plug in 2 for X

PQ = 3x + 8 = 3 x 2 +8 = 6 + 8 = 14

PM = 5x -3 + 5 x 2 - 3 = 10 - 3 = 7

MQ = 11 - 2x = 11 - 2 x 2 = 11 - 4 = 7

Answer:

Step-by-step explanation:

                  Statements                                           Reasons

1. MN is an angle bisector of ∠JMK        1. Given

2. ∠JMN ≅ ∠NMK                                    2. Definition of an angle bisector

3. m∠JMN ≅ m∠NMK                              3. Definition of congruent angles

4. m∠JMN + m∠NMK = m∠JMK              4. Angle addition postulate

5. m∠JMN + m∠JMN = m∠JMK              5. Substitution property

6. 2(m∠JMN) = m∠JMK                           6. Addition property of equality

7. m∠JMN = [tex]\frac{1}{2}(m\angle JMK)[/tex]                         7. Division property of equality

Answer:

75%

Step-by-step explanation:

24/6=4

1/4=6

4*6=24

24-6=18

3/4 of 24=18

3/4=75%

The percentage decrease in length of the board is 25%

From the given statement we can deduce the following:

The change in the length of the board is calculated as:

The percentage decrease in the length is calculated as;

[tex]Percentage \ decrease = \frac{change \ in \ length }{original \ length} \times 100\%\\\\Percentage \ decrease = \frac{6}{24} \times 100\%\\\\Percentage \ decrease = 25\%[/tex]

Thus, the percentage decrease in length of the board is 25%

Learn more here: https://brainly.com/question/2140235

An odd number can be written as [tex]2n+1[/tex] where n is an integer.

If [tex]2n+1[/tex] is our first odd number, the next consecutive odd number will be 2 more than that. The third one will be 4 more.

If we only add 1, we'd get an even number, so we need to add 2.

First number:

[tex]2n+1[/tex]

Second number (2 more than the first number):

[tex]2n+1+2=2n+3[/tex]

Third number (4 more than the first number):

[tex]2n+1+4 = 2n+5[/tex]

The sum is these 3 numbers added together. Let's do that now:

[tex](2n+1) + (2n+3) + (2n+5)[/tex]

[tex]2n + 2n + 2n + 1 + 3 + 5\\6n + 9[/tex]

The sum is, thus, [tex]6n+9[/tex]. We know this sum is equal to -27:

[tex]6n+9 = -27[/tex]

Subtract 9 from both sides:

[tex]6n = -36[/tex]

Divide both sides by 6:

[tex]n = -6[/tex]

Now that we know n, we can find our 3 numbers.

For the first number, we can use its expression in section 2.

[tex]2n +1 = 2*(-6)+1 = -12+1 = -11[/tex]

For the second number, we can just use the fact that it's 2 more than our first number, -11. If you're wondering why this is, review section 1.

[tex]-11 + 2 = -9[/tex]

Same for our third number, it's 4 more than our first number or 2 more than our 2nd number:

[tex]-11 + 4 = -7\\or\\-9 + 2 = -7[/tex]

Our three consecutive numbers are -11, -9, and -7. As we can see, the largest of these three is -7.

Answer: -7

Answer:

A

Step-by-step explanation:

Using the inverse operation of division which is multiplication I can do 37×1/5 to get 7.4 or 7 2/5.

MARK ME AS BRAINLIEST

Answer:

C 185

Step-by-step explanation:

Well you need 5 1/5th to make on whole, so all we need to do is 5×37 is 185

Answer:

(5x-6)(2x²+1)

Step-by-step explanation:

10x³-12x²+5x-6

2x²(5x-6)+5x-6

(5x-6)(2x²+1)

Answer:

All are rational numbers

Step-by-step explanation:

A square of 23,23,24 or 25 all are rational numbers.

25 is the rational number

Answer:

144.97

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

Cuanto dinero voy a pagar  24 $

Cuanto recibiré de cambio  76 $

Step-by-step explanation:

Mis compras son:

1 lápiz       3,50 $

2 plumas  7,90 $

1Libreta   12,60 $

Lo que quiere decir que compre:

3,50 + 7,90 + 12,60  =  24 $

Si cancelo mis compras con un billete de 100 $ me tienen que dar vuelto por:

100 $  -  24  $  =  76 $

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Jasper's age = 43 years

Freya's age = 7

In n years, jasper will be 4 times as old as Freya

Let jasper = j

Freya = f

After n years :

j + n = 4 * f

J + n = 4 ( f + n)

43 + n = 4(4 + n)

43 + n = 16 + 4n

43 - 16 = 4n - n

27 = 3n

n = 27/3

n = 9

Jasper's age after n years :

43 + 9 = 52

Freya's age after n years :

4 + 9 = 13

HOPE THIS IS THE ANSWER FOR YOUR QUESTION

Answer:

2+3=5 90/5=18

Step-by-step explanation:

Let one angle be 2x,,,and other angle be 3x

2x +3x = 90,,,,,,,def of complement

5x = 90

x=18

angles are 2x = 36, and 3x = 54

check,,,,,36 +54 = 90 ,,,,,,ok

36 /54 = 2/3,,,,,ok

I hope that helped!! ^^

Answer:

There is no fixed domain, meaning it is ongoing

The range is from -1 ≤ x ≤ 3

It is a function

Step-by-step explanation:

Domain refers to the x values. If there was a domain then there would be a dot or a point signalling that there is a fixed domain, however, there are arrows meaning that it will keep going.

The range refers to the y-values. The lowest y-value is -1 and the highest is 3.

It is a function because, when you do the vertical line test, each x-value has its own y-value.

Answer:

[tex]a= r- d - c[/tex]

Step-by-step explanation:

Converting the equation to solve for a really just means getting a alone on one side of the equation.

[tex]a + c = r - d[/tex]

To get a alone on the left, we can subtract c from both sides:

[tex]a+ c = r -d\\a = r - d - c[/tex] (Since c - c = 0, c will disappear from the left side.)

Answer: [tex]a= r- d - c[/tex]

Answer:

[tex] \longmapsto \: a + c = r - d \\ (a + c) - c = (r - d) - c \\ \boxed{a = r - d - c}✓[/tex]

Answer:

-21.6

Step-by-step explanation:

When a number, like 4 in your equation, is next to parentheses without a sign (ex. plus or minus) it means to multiply. 4(-5.4) is equal to 4x5.14 which is -21.6

Answer:

-$250

Step-by-step explanation:

Your Welcome;)