MIGHTY MT. EVEREST

The Earth’s surface is composed of gigantic plates that are constantly moving. Currently, India lies on a plate that is slowly drifting northward. India’s plate is grinding into the rest of Asia. As it does so, it pushes up the Himalayan Mountains, which contain the world’s highest peak, Mt. Everest. In 1999, mountain climbers measured Mt. Everest with satellite gear and found it to be 8850 meters high. Geologists estimate that Mt. Everest may be growing by as much as 5 cm per year.

Your Task: Assuming a constant growth of cm per year, determine how tall Mt. Everest was in the year 0. (The year 0 is the year that came 2000 years before the year 2000.) Write an equation for the height of Mt. Everest over time, with x representing the year and y representing the height of the mountain.

What are the units for m and b in your equation? How many decimal places should be in your answer? Explain why.

Answers

Answer 1

The general equation representing the height of Mt. Everest over time can be written as → y = 0.05x + 8850. The unit of 'b' is meters and 'm' is a dimensionless quantity.

What is a time - varying quantity?

A quantity whose magnitude is a function of time is called a time - varying quantity. For example → x = 2t.

Given is the measured height of Mt. Everest with the help of satellite gear.  Geologists estimate that Mt. Everest is growing by as much as 5 cm per year.

Height of Mount Everest in the year 1999  → 8850 meters.

Rate at which Mt. Everest grows per year → 5 cm/yr = 1/20 m/yr.

The general equation representing the height of Mt. Everest over time can be written as →

y = 0.05x + 8850

where -

'x' represents the year.

'y' represents the height of the mountain.

The general equation of a straight line is given by -

y = mx + b           [ m → slope,  b → y-intercept ]

'y' represents height and is measured in meters. The slope 'm' of line is a dimensionless quantity as it the ratio of two lengths (y/x) and 'b' is measured in meters.

Now for x = - 2000

y =  - 100 + 8850

y = 8750 m

Therefore, the general equation representing the height of Mt. Everest over time can be written as → y = 0.05x + 8850. The unit of 'b' is meters and 'm' is a dimensionless quantity.

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Related Questions

A. 2z-1+3z=0
B. 5z-1=0
1) How can we get Equation B from Equation A?
Choose 1 answer
Add/subtract the same quantity to/from both sides.
Add/subtract a quantity to/from only one side.
Rewrite one side for both) by combining like terms.
Rewrite one side for both) using the distributive property.
2) Based on the previous answer, are the equations equivalent? In other words, do they have the
same solution?
Choose 1 answer:
Yes
No

Answers

Answer:

1.) like terms and 2.) since all you did was combine like terms you didn't change the value, it's the same as before just "fixed" so yes

Help on question one and two pls

Answers

1.5 doller = 100* $ 1.5  = 150 peniess

After 50 minutes = 20 gallons of water

Solution :

Pennies :

The dollar is the United States' 100-cent coin. It takes 100 pennies to equal a dollar

1. Girl deposit 5 pennies for each day

which means after 10 days = 50 pennies

Her sister gave her 3 pennies = 53 pennies total she has

To make the $1.50  into her piggy beg

She needs how many pinnies to do so.

1 doller = 100 pennies

1.5 doller = 100* $ 1.5  = 150 peniess

2.

Gallons :

A gallon of water by definition is 128 fluid ounces in the United States. Water bottles can vary in size, but the total number of bottles making up 128 ounces can fit in a gallon. For example, if the water bottle is 16 ounces in size, then 8 of these make up a gallon.

pool capacity = 1500 gallons of water

then

every 5 minutes = 2 gallons of water

then,

after 50 minutes = 2*10 gallons of water

= 20 gallons of water

After 50 minutes = 20 gallons of water

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2.1−2.7 on a number line

Answers

Step-by-step explanation:

2.1

2.2

2.3

2.4

2.5

2.6

2.7

i don't know if thats what you were asking for but yea

How long will it take you to ski a distance of 36 miles at the speed of 5 miles per 45 minutes

Answers

To ski a distance of 36 miles at the speed of 5 miles per 45 minutes, will take 324 min

The formula and procedure we will use to solve this exercise is:

t = x/v

Where:

x = distancet = timev = velocity

Information about the problem:

v = 5 miles per 45 minutesx = 36 milest = ?

Calculating the velocity we have:

v = x/t

v= 5 miles/45 min

v = 0.111 miles/ min

Applying the time formula from the uniformly rectilinear motion (URM), we have:

t = x/v

t = 36 miles/0.111 miles/ min

t = 324 min

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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PLEASE HELPP
Subject: Trigonometry

Answers

Answer:

51.3

Step-by-step explanation:

[tex]\tan y=10/8 \\ \\ y=\arctan(10/8) \\ \\ \approx 51.3^{\circ}[/tex]

Answer:

45

Step-by-step explanation:

Find the value of y+12 when y=7?

Answers

Answer:

19

Step-by-step explanation:

When y = 7

Replace 7 with y.

[tex]7 + 12 = 19[/tex]

If this answer helped you, give this answer a heart, rate it and if you could then please mark it brainliest. Thanks!

Create a data set of 9 numbers that has a mean of 10 and a maximum of 15​

Answers

Answer:  {5, 6, 7, 8, 10, 12, 13, 14, 15}

Other answers are possible.

=========================================================

Explanation:

Let's say 10 is the median, and we'll have four values above it and four below. This gives 4+1+4 = 9 total items. One such example could be {6,7,8,9,10,11,12,13,14}. This is the set of whole numbers from 6 to 14 inclusive.

Due to the symmetry of that list, the mean = median = 10

The only problem is the max is 14, when we want it to be 15. We can fix this by adding 1 to each of the upper four values {11,12,13,14} to get {12,13,14,15}.

To balance things out, subtract 1 from each of the lower four values. So we go from {6,7,8,9} to {5,6,7,8}. This balancing is to keep the mean the same at 10.

Therefore, the set  {6,7,8,9,10,11,12,13,14} becomes {5,6,7,8,10,12,13,14,15} which is one possible answer.

There are infinitely many other possible answers. The data set does not have to be symmetric like this.

Find the measures of the interior angles of the triangle

please help

Answers

Answer: x = 88 degrees

Step-by-step explanation:

The angles of a triangle add up to 180 degrees.

So

48 + x + (x - 44) = 180

48 + 2x - 44 = 180

2x + 4 = 180

2x = 176

x = 88

Angle B = 88 degrees

Angle C = 44 degrees

Solve the inequality for .x.
-1/
6
x+4> −3x −8
Simplify your answer as much as possible

Answers

Answer:

x>-3

Step-by-step explanation:

collect like terms by changing the signs ..

x+4>-3x-8:to: x+3x>-8-4

Hence find the value of x

:4x>-12

4x/4 >-12/4

x>-4

Given y =
2x+1/4x-3
•Solve for x.
•evaluate x when y = 1

Answers

Answer:

Solve for x:

x= 1/ 2 (2y-1)+ 3y/ 2 (2y-1)

Evaluate: x= 2

Step-by-step explanation:

the girls group rented 2 canoes and 3 inner tubes for a total cost of $80. the boys group rented 1 canoe and 7 inner tubes for a total cost of $95. wh

Answers

The cost of the one canoe is $25.

According to the statement

We have to find that the cost of the one canoe.

So, For this purpose, we know that the

The cost function will be accustomed find the common cost, which is that the average amount of cash it costs to provide a unit.

From the given information:

The girls group rented 2 canoes and three inner tubes for a complete cost of $80. The boys group rented 1 canoe and seven inner tubes for a complete cost of $95.

Then

Let c is that the cost of renting a canoe and t is that the cost of renting inner tubes.

For the ladies,

2c + 3t = 80

For the boys,

c + 7t = 95

Solving the system of equations, multiply the second equation by 2 and subtract them.

2c + 3t  = 80

2c + 14t = 190

11t = 110  

t = 10

Now,

Substitute t to either equations,

c = 95 - 7t

c = 95 - 7(10)

c = 25

So, The cost of the one canoe is $25.

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Question:

The girls group rented 2 canoes and 3 inner tubes for a total cost of $80. The boys group rented 1 canoe and 7 inner tubes for a total cost of $95. What is the cost to rent 1 canoe?

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Write the equation of the line in fully simplified slope-intercept form.

Answers

The equation of the line in fully simplified slope-intercept form is y = -x - 8.

How to find the equation of the line?

It is assumed that a line in the graph will pass through some points on the x and y-axes.

We must determine the line's fully simplified intercept.

we know the standard form of a line that is

y = mx + b

here, m is a slope and b is the constant

On the graph, there are the y-intercept (0,-8) and the x-intercept (-8,0).

The slope of the line passing through these points is:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ [/tex]

[tex]slope = \frac{ 8 - 0}{ 0 - 8} [/tex]

slope = 8/(-8)

slope = -1

then find the value of b

if x = 0 y = -8 then

y = mx +b

-8 = -1(0) + b

-8 = b

the value of b is -8

After inserting the values for m and c, the line's equation will be.

y = - x - 8

Hence y = -x - 8 is the equation of the line in fully simplified slope-intercept form.

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In what situation would a geometric model be better than a binomial model

Answers

Answer:

a geometric model shows the lay out of places like earth it tells us where our best water sources are.

A student states that a triangle can be formed with side lengths 3 in, 5 in, and 9 in. is the student correct? why, or why not? yes, because 3 5 < 9 yes, because 3 9 > 5 no, because 3 9 > 5 no, because 3 5 < 9

Answers

A student is not correct when he stated that a triangle can be formed with side lengths 3 in, 5 in, and 9 in because 3 + 5 < 9.

A triangle is a polygon with three sides and three vertices.

To know if a set of numbers is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 3, b = 5, and c = 9

a + b > c : 3 + 5 > 9     8 > 9     False

a + c > b : 3 + 9 > 5     12 > 5     True

b + c > a : 5 + 9 > 3     14 > 3     True

If at least one of these statements does not hold true, the measurements can't be the sides of a triangle.

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k+1
2 =8


Find the value of k.

Answers

Answer:

The Answer is K = -4

Step-by-step explanation:

First we Need to write the Equation as It is

K + 12 = 8

Then we keep the Variable which is K in the right of the equal to and move the rest to the left.

K = 8 - 12 ( Note that when moving a number to the other side, the sign will

                  change)

Then Do 8 - 12 or -12 + 8

The answer will come

K = -4

Hope you Are clear

Pls Mark Brainliest

A= 89cm root 2 square

Answers

Considering the given area of the square, it is found that it's side length is an irrational number.

What is the missing information?

This problem is incomplete, but researching it on a search engine, it asks if the side length of the square of area 89 cm² is rational or irrational.

What is the formula for the area of a square?


The area of an square of side length s is given by s squared, as follows:

A = s².

In this problem, the area is of 89 cm², hence:

s² = 89.

s = sqrt(89).

The square root of 89 is a non-exact root, hence it cannot be represented by fraction and is an irrational number.

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For each of the following functions, evaluate: f(-4), f(-2), f(0), f(2), and f(4)
17.)f(x)=3x-7
19.) ƒ(x)=−2x²+5x+1

Answers

Answer for 17. f(-4)= -19 , f(-2) = -13 , f(0)= -7 , f(2) =-1 , f(4) =5
Answer for 19. f(-4)= -51 , f(-2) = -17 , f(0)= 1 , f(2) =3 , f(4) =-11

Replace the x with the given number for example. It's just like solving for x in equations.
f(x)=3x-7
f(-4)=3(-4)-7
= -12 - 7
= -19

HELP ASAP
Find E, the midpoint of RD if R (4,-5) and D (2,3)

Answers

Answer:

(3, - 1 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = R (4, - 5 ) and (x₂, y₂ ) = D (2, 3 )

midpoint = ( [tex]\frac{4+2}{2}[/tex] , [tex]\frac{-5+3}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex] , [tex]\frac{-2}{2}[/tex] ) = (3, - 1 )

what bigger 3/5 or 0.85

Answers

Answer:

0.85 is bigger

Step-by-step explanation:

To compare fractions you need to bring them to the same format.

1) Convert 3/5 to decimal:

3/5 = 30/50 = 60/100 = 0.60

Compare:

0.60 < 0.85 as 60 < 85

2) Convert 0.85 to fraction:

0.85 = 85/100 = 17/20

Bring 3/5 to the same denominator:

3/5 = (3*4)/(5*4) = 12/20

Compare:

12/20 < 17/20 as 12 < 17 (comparing the numerators)

PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT

Answers

Answer:

.7456

Step-by-step explanation:

The question is asking for the area under the curve from 1 to 2 ....see diagram.....this is approx .75

b) Harri hires a pedalo for 45 minutes.
He takes the pedalo out at 2:45 pm.
At what time must he return the pedalo?

Answers

Answer:

He returns the pedalo after 3.00 pm

T(x) = -x
P(x) = 10x + 2
What is the value of P(T(3)) - T(P(3))?

Answers

Answer:

p(-x)(3)-T(10x+2)(3)

P(-3x)-T(30x+6)

This scale drawing of a rectangular rug
has dimensions 8 inches by 5 inches.
The actual rug is measure with a scale
factor of 4:1.
8 in
5 in
x ft
y ft.
S Enter the value of x and y for the actual rug width.
X =
y =

Answers

x would be 20 inches and y would be 32 inches.

What are the angle measures of the triangle?

Answers

Answer: 30, 60, 90 triangle ==> Option 3

Step-by-step explanation:

Lets say Angle A is the angle opposing the line of a triangle that has the length of 6. Lets say Angle B is the angle opposing the line of the same triangle that has the length of [tex]6\sqrt{3}[/tex].

sin A=6/12=1/2

sin A=30 degrees.

sin B=[tex]\frac{6\sqrt{3}}{12}[/tex]=[tex]\frac{\sqrt{3}}{2}[/tex]

sin B=60 degrees.

Hence, triangle is 30, 60, 90 triangle ==> Option 3

Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.
If each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags? Explain.
A.


Yes; Machine A and Machine B make 77.5 ounces in 10 minutes. 77.5 > 72, so there will be enough popcorn.
B.


Yes; Machine A and Machine B make 87.5 ounces in 10 minutes. 87.5 > 72, so there will be enough popcorn.
C.


No; Machine A and Machine B make 67.5 ounces in 10 minutes. 67.5 < 72, so there will not be enough popcorn.
D.


No; Machine A and Machine B make 30.75 ounces in 10 minutes. 30.75 < 72, so there will not be enough popcorn.

Answers

Answer:

C

Step-by-step explanation:

machine a makes 4.25 ounces per minute and B makes 4.5 ounces per minute.

please help, I suck at math and I cant play no games til I finish everything..sad.

Answers

Answer:

true;the expression s are the same for all values of the variables

Divide £800 in the ratio 6 : 1 : 3

Answers

Answer:

6: 480

1: 80

3: 240

I hope this is what you meant, and I hope I was able to help you!

Of 6.5 hectoliters of fuel, the private spilled 350 milliliters. how many liters did the private spill?

Answers

The private spilled 0.35 litres of fuel

How to calculate the amount of litres spilled ?

The first step is to convert 6.5 hectolitres to litres

= 6.5 × 100

= 650 litres

Next is to convert millilitres to litres

= 350/1000

= 0.35 litres

Hence the number of litres spilled is 0.35 litres

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Find the product for each of the following and write your answer in proper scientific notation.

1) (6 x 10^-8) x (4 x 10^-4)


2) (7 x 10^6) x (8 x 10^5)


3) 0.000 000 000 05 x 0.003


4) (3 x 10^-8) x (7 x 10^6)

Answers

Answer:

1. 2.4*10^-11

2. 5.6*10^12

3. 1.5*10^-13

4. 2.1*10^-1

Step-by-step explanation:

1) (6 x 10^-8) x (4 x 10^-4)=

6*4*10^-8 *10^-4=

24*10^(-8-4)=

24*10^-12=

2.4*10^1 *10^-12=2.4*10^-11

2) (7 x 10^6) x (8 x 10^5)=

7*8*10^6 *10^5=

56*10^11=

5.6*10^1 *10^11=5.6*10^12

3) 0.000 000 000 05 x 0.003=

5*10^-11 *3*10^-3=

5*3*10^-11 *10^-3=

15*10^-14=1.5*10^-13

4) (3 x 10^-8) x (7 x 10^6)=

3*7*10^-8 *10^6=

21*10^(-8+6)=

21*10^-2=2.1*10^-1

Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54 Which equation can be used to find the number of pennies Ari has?

Answers

n = the number of nickels
p = the number of pennies

Total number of coins she has = 22.

n + p = 22

First equation

Each penny is one cent and a nickel is worth 5 cents

And the total is $0.54

Second equation. 0.05n + 0.01p = 0.54

n + p = 22
0.05n + 0.01p = 0.54

Multiply the top equation by -0.05 which gives us

-0.05n - 0.05p = -1.1
0.05n + 0.01p = 0.54

The n terms cancel out which leaves the p value

-0.04p = -0.56

Divide by the -0.04p and you get p=14


Substitute the value of p back into the top equation.

Which is n + 14 = 22

Subtract 14 and you get n = 8

Ari has 8 nickels and 14 pennies
Other Questions
England was cutting off the United States' trade with other countries. This action is called: KidnappingInterferenceInspiration patriotic PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG Read the excerpt from the story Hayden and Henry Go to Camp:Every summer, the boys' parents sent them to a summer camp in New York State for a month. Henry loved it. Hayden hated it. For Hayden, the time away was a nightmare. Henry tried to convince his brother that camp was actually amazing, but every year it was the same: Hayden refused to try new things and mostly sat on the sidelines while the other boys had the time of their lives. Because the boys had been going to camp since they were 7 years old, all the counselors knew them well and understood how different they were. They would try to cajole Hayden into joining in, but after the first few days, they would let him be and allow him to read his books during sport and activity times.The boys had turned 13 in April, so this would be their last summer at camp. Henry was therefore more determined than ever to help Hayden enjoy their time away. As they drove up the long, dirt road toward the camp with their parents, it was Henry who first spotted the banner advertising new activities.Select the detail that shows how the two brothers are similar. a Every summer, the boys' parents sent them to a summer camp in New York State for a month. b Henry loved it. Hayden hated it. For Hayden, the time away was a nightmare. c Henry tried to convince his brother that camp was actually amazing. d They would try to cajole Hayden into joining in, but after the first few days, they would let him be. What is the answer to this question? 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