1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frozen [14]
3 years ago
10

Chandler is on a hike in the woods. He has an altimeter with him, and Chandler uses it to measure his height above sea level at

various points in his hike. He starts out at 120.4 meters above sea level, then hikes up an additional 850.0 meters to the crest of a hill. Chandler takes a break, then hikes down into a valley that is 430.7 meters below the crest. How far above sea level, in meters, is Chandler when he is in the valley?
Mathematics
1 answer:
laiz [17]3 years ago
5 0

Answer:

539.7 meters above sea level.

Step-by-step explanation:

Okay in order to solve this problem we can take it one step at a time. First, he starts at an altitude of 120.4 meters above sea level.

Then he hikes up an additional (meaning we add) 850.0 meters.

120.4 + 850.0 = 970.4

Next, Chandler hikes down (meaning we subtract) 430.7 meters.

970.4 - 430.7 = 539.7

Therefore, we can see that when Chandler is in the valley he is at an altitude of 539.7 meters above sea level.

You might be interested in
The point (2,-5) is on the graph of which equation?
elena55 [62]
The answer is A,
if you plug in the points of (2,-5) into
y=x-7
-5=2-7
-5=-5
so the equation is true
8 0
3 years ago
Read 2 more answers
Use the following data set to answer question 8:
stira [4]

Answer:

15.1 to nearest tenth.

Step-by-step explanation:

The 7 is the lowest number so the mean would increase if taken away.

New mean = (8 + 12 + 13 + 15 +  18 + 19+21) / 7

= 106 / 7

= 15.14

6 0
2 years ago
Use undetermined coefficient to determine the solution of:y"-3y'+2y=2x+ex+2xex+4e3x​
Kitty [74]

First check the characteristic solution: the characteristic equation for this DE is

<em>r</em> ² - 3<em>r</em> + 2 = (<em>r</em> - 2) (<em>r</em> - 1) = 0

with roots <em>r</em> = 2 and <em>r</em> = 1, so the characteristic solution is

<em>y</em> (char.) = <em>C₁</em> exp(2<em>x</em>) + <em>C₂</em> exp(<em>x</em>)

For the <em>ansatz</em> particular solution, we might first try

<em>y</em> (part.) = (<em>ax</em> + <em>b</em>) + (<em>cx</em> + <em>d</em>) exp(<em>x</em>) + <em>e</em> exp(3<em>x</em>)

where <em>ax</em> + <em>b</em> corresponds to the 2<em>x</em> term on the right side, (<em>cx</em> + <em>d</em>) exp(<em>x</em>) corresponds to (1 + 2<em>x</em>) exp(<em>x</em>), and <em>e</em> exp(3<em>x</em>) corresponds to 4 exp(3<em>x</em>).

However, exp(<em>x</em>) is already accounted for in the characteristic solution, we multiply the second group by <em>x</em> :

<em>y</em> (part.) = (<em>ax</em> + <em>b</em>) + (<em>cx</em> ² + <em>dx</em>) exp(<em>x</em>) + <em>e</em> exp(3<em>x</em>)

Now take the derivatives of <em>y</em> (part.), substitute them into the DE, and solve for the coefficients.

<em>y'</em> (part.) = <em>a</em> + (2<em>cx</em> + <em>d</em>) exp(<em>x</em>) + (<em>cx</em> ² + <em>dx</em>) exp(<em>x</em>) + 3<em>e</em> exp(3<em>x</em>)

… = <em>a</em> + (<em>cx</em> ² + (2<em>c</em> + <em>d</em>)<em>x</em> + <em>d</em>) exp(<em>x</em>) + 3<em>e</em> exp(3<em>x</em>)

<em>y''</em> (part.) = (2<em>cx</em> + 2<em>c</em> + <em>d</em>) exp(<em>x</em>) + (<em>cx</em> ² + (2<em>c</em> + <em>d</em>)<em>x</em> + <em>d</em>) exp(<em>x</em>) + 9<em>e</em> exp(3<em>x</em>)

… = (<em>cx</em> ² + (4<em>c</em> + <em>d</em>)<em>x</em> + 2<em>c</em> + 2<em>d</em>) exp(<em>x</em>) + 9<em>e</em> exp(3<em>x</em>)

Substituting every relevant expression and simplifying reduces the equation to

(<em>cx</em> ² + (4<em>c</em> + <em>d</em>)<em>x</em> + 2<em>c</em> + 2<em>d</em>) exp(<em>x</em>) + 9<em>e</em> exp(3<em>x</em>)

… - 3 [<em>a</em> + (<em>cx</em> ² + (2<em>c</em> + <em>d</em>)<em>x</em> + <em>d</em>) exp(<em>x</em>) + 3<em>e</em> exp(3<em>x</em>)]

… +2 [(<em>ax</em> + <em>b</em>) + (<em>cx</em> ² + <em>dx</em>) exp(<em>x</em>) + <em>e</em> exp(3<em>x</em>)]

= 2<em>x</em> + (1 + 2<em>x</em>) exp(<em>x</em>) + 4 exp(3<em>x</em>)

… … …

2<em>ax</em> - 3<em>a</em> + 2<em>b</em> + (-2<em>cx</em> + 2<em>c</em> - <em>d</em>) exp(<em>x</em>) + 2<em>e</em> exp(3<em>x</em>)

= 2<em>x</em> + (1 + 2<em>x</em>) exp(<em>x</em>) + 4 exp(3<em>x</em>)

Then, equating coefficients of corresponding terms on both sides, we have the system of equations,

<em>x</em> : 2<em>a</em> = 2

1 : -3<em>a</em> + 2<em>b</em> = 0

exp(<em>x</em>) : 2<em>c</em> - <em>d</em> = 1

<em>x</em> exp(<em>x</em>) : -2<em>c</em> = 2

exp(3<em>x</em>) : 2<em>e</em> = 4

Solving the system gives

<em>a</em> = 1, <em>b</em> = 3/2, <em>c</em> = -1, <em>d</em> = -3, <em>e</em> = 2

Then the general solution to the DE is

<em>y(x)</em> = <em>C₁</em> exp(2<em>x</em>) + <em>C₂</em> exp(<em>x</em>) + <em>x</em> + 3/2 - (<em>x</em> ² + 3<em>x</em>) exp(<em>x</em>) + 2 exp(3<em>x</em>)

4 0
2 years ago
What is the answer i really need help (−3)3 + (5 − 2)4
Katarina [22]
The answer to your question is 3
Reasons : -9+ 3•4= -9+12= 3.
8 0
3 years ago
The fish population in a local lake is 10,000. The population increase by half every year. Which function represents the fish po
sweet-ann [11.9K]

Answer:

5. f(x) = 10,000 (1.5)^x

Step-by-step explanation:

We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.

Let's test it.

Initial:

10,000

After 1 year

10,000 + (.5*10000)

10,000 + 5000 = 15,000

After 2 years

15,000 + (.5*15000)

15,000 + 7500 = 22,500

Let's try our equation.

f(x) = 10,000 (1.5)^x

x = 2

10,000(1.5)^2

10,000(2.25) = 22,500

The same!

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is 30 miles in 5 hours the rate and the unit rate because I need help
    13·1 answer
  • Solve for a. Assume that a, b and c are not zero. abc=c
    7·1 answer
  • Which expression are equivalent to 4(9+3) ?
    10·1 answer
  • CDEF is a kite and FCE equals 16. Find 2
    6·1 answer
  • A positive number with divisors besides 1 itself is called_____
    9·2 answers
  • Point P(−5.15, −7.05) is a reflection across the x-axis of which of the following points?PLEASE EXPLAIN
    12·2 answers
  • PLEASEE HELPP MEEEE!!!!!!!!! PLEASEE!!!!!!!!!!!!!!!<br><br> what is the value of x?
    9·1 answer
  • Katie is selling lemonade for 1.50 per cup she decides to put on a scale for 0.90 what percent discount did she give one her lem
    11·1 answer
  • Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified? It has 2 terms and a
    11·2 answers
  • Which inequality has an open circle when it is graphed on a number line?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!