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
marta [7]
3 years ago
13

A hiking trail rises 6 feet for every horizontal change of 100 feet. What is the slope of the hiking trail?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0

Given:

A hiking trail rises 6 feet for every horizontal change of 100 feet.

To find:

The slope of the hiking trail.

Solution:

We have,

Rise = 6 ft

Run = 100 ft

We know that

Slope=\dfrac{Rise}{Run}

Slope=\dfrac{6}{100}

Slope=0.06

Therefore, the slope of the hiking trail is 0.06.

You might be interested in
What are the y and x intercepts of y=3(x-6)²-9 and y=-2(x+5)²+3 .. Thanks
JulsSmile [24]
1.
y=3(x-6)^2-9 \\ \\
\hbox{x-intercept - y=0} \\
0=3(x-6)^2-9 \\
9=3(x-6)^2 \ \ \ |\div 3 \\
3=(x-6)^2 \\
\sqrt{3}=\sqrt{(x-6)^2} \\
\pm \sqrt{3}=x-6 \\
\pm \sqrt{3}+6=x \\
x=6+\sqrt{3} \ \lor \ x=6-\sqrt{3}} \\ \\
\hbox{y-intercept - x=0} \\
y=3(0-6)^2-9 \\
y=3 \times (-6)^2-9 \\
y=3 \times 36-9 \\
y=108-9 \\
y=99 \\ \\
\boxed{\hbox{x-intercepts: } 6+\sqrt{3} \hbox{ and } 6-\sqrt{3}} \\
\boxed{\hbox{y-intercept: } 99}

2.
y=-2(x+5)^2+3 \\ \\
\hbox{x-intercept - y=0} \\
0=-2(x+5)^2+3 \\
-3=-2(x+5)^2 \ \ \ |\div (-2) \\
\frac{3}{2}=(x+5)^2 \\
\sqrt{\frac{3}{2}}=\sqrt{(x+5)^2} \\
\pm \sqrt{\frac{3}{2}}=x+5 \\
\pm \sqrt{\frac{3}{2}}-5=x \\
x=\sqrt{\frac{3}{2}}-5 \ \lor \ x=-\sqrt{\frac{3}{2}}-5 \\ \\
\hbox{y-intercept - x=0} \\
y=-2(0+5)^2+3 \\
y=-2 \times 5^2 +3 \\
y=-2 \times 25+3 \\
y=-50+3 \\
y=-47 \\ \\ \boxed{\hbox{x-intercepts: } \sqrt{\frac{3}{2}}-5 \hbox{ and } -\sqrt{\frac{3}{2}}-5} \\ \boxed{\hbox{y-intercept: } -47}
7 0
3 years ago
4. Jane and Terry went to Long Island for a week. They needed to rent a car, so they checked out two rental firms. Avis wanted $
Elanso [62]

Answer:

Anything more than 89.8 miles

Step-by-step explanation:

Since Hertz charges $108/week, divide that by 7 so you have the daily rate.

Which is $15.43. Then set 28 = 15.43 + .14x. Subtract 15.43 from both sides.

12.57 = .14x Then divide both sides by .14  x = 89.8 miles is the break even point, so anything over that is when the Avis price would be less and anything under that is when the Hertz price is less.

7 0
3 years ago
The following graph shows the low temperatures for the past six nights. What was the range of temperatures for the six nights?
Kobotan [32]

Answer:

Step-by-step explanation:

highest temperature for past six nights = 34°F

lowest temperature for past six night = 22°F

so, the range of temperature = highest temperature - lowest temperature

                                                 = 34°F - 22°F

                                                 = 12°F

hence , the range of temperature is 12°F

3 0
4 years ago
PLEASE HELP! No phony answers, thanks! Happy holidays, Merry Christmas!!
larisa [96]

Step-by-step explanation:

(f+g)(x) means we just add the 2 functions, so we have

(x-3) + 2x² = 2x² + x - 3

(f-g)(x) means we subtract g(x) from f(x), so we have

(x-3) - (2x²) = -2x²+x-3

Assuming that the dot signifies a multiplication sign and not a composition  sign, we have

(f*g)(x) = f(x) * g(x)

= (x-3) * 2x²

= 2x³ - 6x²

Plugging -2 in, we get

2(-2)³-6(-2)² = -16 -24 = -40

3 0
3 years ago
Write three four-digit numbers that are divisible by… 4, 5, and 9
Sedbober [7]

Answer:

32, 48, and 64?

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Help would be nice. Thank you
    5·2 answers
  • D) Maribel ha trazado un eneagono (poligono de 9
    14·1 answer
  • Can I please get help with #9
    13·1 answer
  • jonathan goes to the store and purchases 3 pencils for $0.28 each, and x number for erasers for $0.38 each. Write an expression
    8·1 answer
  • The model shows maya planned flowers in her garden
    12·1 answer
  • the computer accessory that Grace sells at her store comes in white, beige, gray, or black and has an optical mouse, mechanical
    12·1 answer
  • Adriana has eaten 20 donuts over the past few months. Of those donuts, 4 were powdered sugar donuts. Considering this data, how
    7·1 answer
  • BEAT THE TEST!
    11·1 answer
  • Three numbers add up to 210. The second number is 10 more than the first and the third number is 3 times the first. Find the num
    15·1 answer
  • He is offered a discount for the first five months. after this period, his rate increases by $8.50 per month. his total cost at
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!