Andrew is hiking in a mountainous area of a state park. Use the given key features to sketch a graph.
y-intercept: Andrew starts at an elevation of 0 feet.
Extrema: Andrew's maximum elevation is 800 feet.
Increasing: At the start of the hike, Andrew's elevation increases steadily for 30 minutes. Then he stops to rest for 5 minutes.
Decreasing: Andrew hikes back to his starting point for the final 20 minutes.​

Answers

Answer 1

Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.

A piece-wise function is a function that has multiple definitions, depending on the value of the input.

He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:

[tex]h(t) = \frac{800}{30}t, 0 \leq t < 30[/tex]

For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:

[tex]h(t) = 800, 30 \leq t < 35[/tex]

For the final 20 minutes, he descends 800 meters, at a linear rate, thus:

[tex]h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55[/tex]

Using these definitions, the graph is sketched at the end of this answer.

A similar problem is given at https://brainly.com/question/13205719

Andrew Is Hiking In A Mountainous Area Of A State Park. Use The Given Key Features To Sketch A Graph.

Related Questions

Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2

A. -49
B. -7
C. 11
D. 59

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The answer: It’s A- -49
:)
49 a and if you need anything help text me I will always help

Please help! Algebra question see picture...

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Answer: G is -1/3

Step-by-step explanation:

65
(3y +2)
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Answer:

195y+130

Step-by-step explanation:

Answer:

= 195y + 130

Step-by-step explanation:

Apply the distributive law  a(b + c) =ab + ac

[tex]65\left(3y+2\right)=65\cdot \:3y+65\cdot \:2\\=65\cdot \:3y+65\cdot \:2[/tex]

Simplify:

[tex]65*3y+65*2\\195y+130[/tex]

Hello, I need help with this problem.

Answers

Answer:

1/5

Step-by-step explanation:

[tex]\lim_{x->4} \frac{x-4}{x^{2}-3x-4 } \\= \lim_{x->4} \frac{x-4}{(x+1)*(x-4) } \\\\= \lim_{x->4} \frac{1}{(x+1) } \\\\\\[/tex]

lim x->4   plug in x=4

1/(x+1) = 1/(4+1) = 1/5

domain of (3,4) (-1,5) (-9,0) (3, -2) and range. And is it a function?

Answers

Answer:

Domain = 3,-1,-9,3

Range = 3,5,0,-2

Not a function

plzzzzzzzzzzzzzzzzzzz helppppp

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Answer:

15

Step-by-step explanation:

I'm not sure, but find out the coordinates of the two points, and then find the slope between them.

Answer is 15 . But this realy not true

one out of three plus 2 out of three?
ASAP HELP

Answers

Answer:

the answer is one whole or one out of one

.Write 3.4 · 10-4 in standard form​

Answers

0.00034/ standard form :)
Hope this helps and makes your day a little better!
Brainliest?❤️

Answer: 0.00034

Step-by-step explanation: 10^-4 would move the decimal left four times.

help a friend out?

Solve and graph the absolute value inequality: 12x +41 > 8.​

Answers

Answer:

Answer is C

The inequality is x

<−6 or x>2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

       | 2x + 4 |  > 8        

         Case I                                 Case II

       2x + 4 > 8                            -(2x +4) > 8

            -4      -4                           -2x - 4 >  8

        2x      > 4                                   +4    +4    

           x   > 4/2                           -2x  > 12

            x > 2                               -x > 12/2

                                                   -x > 6    

                                                    x <  - 6  Multiply by -1 will change the inequality sign.  

       x >  2  and x< - 6

       x > 2    open circle at 2 and shade to the right.

       x < -6    open circle at -6 and shade to the left

If the cost, C(x), for manufacturing x units of a certain product is given by C(x)=x2−19x+50 find the number of units manufactured at a cost of $8150

Answers

Answer:

Step-by-step explanation:

C(x) = ax2 + bx + c

C(x) = x2  -19x + 50

8150 = x2  -19x + 50

x2  -19x + 50 = 8150

x2 -19x-8100 = 0

this is a quadratic equation, solved as

x = −b ± √(b2 − 4ac) 2a ·

or

x = −(-19) ± √((-19)x(-19) − 4(1) x(-8100))/2 ·

x= 19± √((-19)x(-19) − 4(1) x(-8100))/2

x = 100

How many people have to buy tickets for the two companies to have the same price?

y=22x+10

y=25x+4​

Answers

The answer is 2 people have to buy tickets.

MARKING BRAINLEIST + 20 POINTS PLEASE HELP IS DUE TODAY

Answers

Answer: The slope is 1.5. The equation of the line is y=1.5x+3

Step-by-step explanation:

Slope is the "Rise" over the "Run" of a line. The rise is the change in y. The run is the cange in x. Take any two points. I picked (0,3) and (4,9) since they were clearly on whokle number lines. The rise is (9-3) or 6. The run is (4-0) or 4. Rise/Run = 6/4 or 1.5. The y intercept is at 3 (the value of y when x=0). The full line equation is thus y = 1.5x+3.

What is the slope of the line that passes through (-4, 5) and (2, -3)?

Answers

Answer:

[tex]m=\frac{-4}{3}[/tex]

[tex]y=\frac{-4}{3}x -\frac{1}{3}[/tex]

Step-by-step explanation:

Use the Slope formula...

[tex]\frac{-3-5}{2-(-4)}[/tex]

[tex]\frac{-8}{6} = \frac{-4}{3}\\\frac{-4}{3} = m[/tex]

Plug the slope into the Point-Slope formula...

[tex]y -(5) = \frac{-4}{3}(x-(-4)) \\y+5=\frac{-4}{3}x +\frac{-16}{3}\\y=\frac{-4}{3}x +\frac{-1}{3}[/tex]

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTIONN!!!!!!!

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Answer:

Step-by-step explanation: what is the question?

Someone plz help me :(

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Answer:

c

Step-by-step explanation:

you want to take your total amount of points and divide it by the number of games

Use a common denominator to find equivalent fractions for 1/3 and 4/5

Answers

Common denominator is 15

1/3 = 3/15
4/5 = 12/15

Can someone help me with this?​

Answers

Answer:

they are correct

Step-by-step explanation:

Answer:

317m

Step-by-step explanation:

I am not sure its the perimeter (p) you need because thats what i understood.

p=2(109.7)+2(48.8)=317m

helpppppppppppppppppppppppppp

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Answer:

with what?

Step-by-step explanation:

Factor 1/2 out of (1/2d + 6)

Answers

Answer:

6/7

Step-by-step explanation:

i watched a video

Look!! I need the answer asap, please!
[tex]\bf x+38=-25[/tex]

Answers

Answer:

-63

Step-by-step explanation:

= > x + 38 = - 25 = > x = - 25 - 38 = > x = - 63...ans

HOPE IT HELPS YOU!!!!

Answer:

-63 that should help

Step-by-step explanation:

What is the solution to the equation? ^5 /x+ 7= -2

Answers

Answer:

x=19/2

Step-by-step explanation:

5/x+7=-2

5=-2(x+7)

5=-2x-14

5+14=-2x

19=-2x

Therefore

2x=-19

x=19/2

4x-5y=-45


put the following equation of a line into slope- intercept form, simplifying all fractions.

Answers

The correct equation is Y=4/5x+9 :)

Find the area and perimeter of
the parallelogram:
17ft
12ft
15ft

Answers

Step-by-step explanation:

The area = base × height

= 12 × 17 = 204

the perimeter = 2(17 + 15) = 2 × 32 = 64

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Find the equation of the line that passes through (1,4) and is parallel to3x+y+2=0

Answers

Answer:

y=-3x+7

Step-by-step explanation:

Step 1:

Make your thing into y=mx+b

3x+y+2=0 is the same as y=-3x-2

Step 2:

Plot your point at (1, 4)

Step 3:

Plot different points using your slope of rise 3 move 1 (remember you have a neg slope so keep that in mind)

Step 4:

Draw your line thru the points.

See below for an image. Hope that helped

Insert 5 geometric means between -4 and -62 500​

Answers

9514 1404 393

Answer:

  Either of ...

{-20, -100, -500, -2500, -12500}{20, -100, 500, -2500, 12500}

Step-by-step explanation:

For some common ratio r, the first of the "geometric means" will be -4r, the next will be -4r^2, and so on. The 5th will be -4r^5, and finally, -62500 will be -4r^6.

Solving this last relation for r gives ...

  -4r^6 = -62500

  r^6 = 15625

Then r can be either of ...

  r = ±15625^(1/6) = ±5

For r = 5, the means are ...

  -4·5 = -20, and -100, -500, -2500, -12500

For r = -5, the means are ...

  -4(-5) = 20, and -100, 500, -2500, 12500

Please help I will make you Brainliest (show working)​

Answers

Answer:

Step-by-step explanation:

Garden is in the shape of triangle.

[tex]Area of garden = \dfrac{1}{2}bh = \dfrac{1}{2}*10*6 = 5 *3 = 15 \ m^{2}[/tex]

Drive way:

length = 4 + 10 = 14m

Width = 3 m

Area  = length * width = 14 * 3 = 42 sq.m

Perimeter of the property:

Length = 14 m

Width = 3 + 9 + 6 = 18 m

Perimeter = 2*(length + width) = 2*(14 + 18) = 2 * 32 = 64 m

Help WITH THE MATH PLEASE QUICK

Answers

Answer:

Step-by-step explanation:

2x - 3 = 135    {Corresponding angles are congruent}

2x = 135 + 3

2x = 138

Divide both sides by 2

x = 138/2

x = 69

[tex]\small\boxed{\begin{array}{cc} \hline\sf \normalsize {Math \: \: \: Question}\\ \hline\end{array}}[/tex]

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

2× - 3 = 135

2× = 135 + 3

2× = 138

× = 138/2

× = 69

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

[tex]\begin{gathered}\begin{gathered}\tiny\boxed{\begin{array} {} \red{\bowtie}\:\:\:\: \red{\bowtie}\\。◕‿◕。\end{array}}\end{gathered}\end{gathered}[/tex]:BrainliestBunch

Round 11.036568047 to 4 decimal places.

Answers

Answer:

11.0366

Step-by-step explanation:

Look at the 5th digit after the decimal place. If it is a 4 or lower, round down. If it is a 5 or higher, round up:

11.03656 - 6 is higher than 5 so the number is rounded up to 11.0366

Hope this helps!

The number is rounded up to 11.0366.

How to identify the place value of a digit in a number?

The place values on left of decimal point start as ones, tens, hundreds, and so on...

The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on..

Thus, The tens means multiply by 10

Thus, The tenth means tenth part of that digit which is that digit divided by 10

If we Look at the 5th digit after the decimal place. it is a 4 or lower, round down. If it is a 5 or higher, round up:

11.03656 -

6 is higher than 5 so, the number is rounded up to 11.0366.

Learn more about the decimal here;

https://brainly.com/question/24064260

#SPJ2

What is the sum of the roots of the equation 2 x^2 + 5 x − 3 = 0?
a)-3.5
b)-2.5
C)-1.5
D)2.5

Answers

Answer:

B) -2.5

Step-by-step explanation:

2x^2 + 5x -3 = 0

(2x - 1)(x + 3) = 0

2x - 1 = 0; 2x = 1, so x = 1/2 = ROOT 1

x + 3 = 0, so x = -3 = ROOT 2

Now add the roots: -3 + 1/2 = - 2 1/2, so the answer is B.

can someone please help me with how to find the perimeter and area of this

Answers

Answer:

Perimeter = 68ft

Area = 289ft²

Step-by-step explanation:

The lines on each side mean that they are all the same length - this shape is a square.

To find the perimeter, do 17 + 17 + 17 + 17 or 17 × 4. This gives you 68ft.

To find the area, you multiply the length and width → 17 × 17 = 289ft²

Hope this helps!

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