All categories

3 years ago

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

7-5/7= 2/7 1 2/7 6 2/7 6 5/7 show work

Ivenika [448]

Answer:

6.28571428571

Step-by-step explanation:

5 0

1 year ago

-1/y^-4 A -4/y B -4y C y^4 D -y^4

Allushta [10]

Answer:

The answer is D: -y^4

Step-by-step explanation:

(-1/y^-4) = -1(y^4)/1 = -y^4

8 0

3 years ago

G with the definition of covariance, prove cov[(ay − b),(cy − d)] = accov(x, y ), where x, y are random variables and a, b, c, d

____ [38]

By definition of covariance,

$\mathrm{Cov}(X,Y)=\mathbb E[(X-\mathbb E[X])(Y-\mathbb E[Y])]$

$\mathrm{Cov}(X,Y)=\mathbb E[XY-\mathbb E[X]Y-X\mathbb E[Y]+\mathbb E[X]\mathbb E[Y]]=\mathbb E[XY]-\mathbb E[X]\mathbb E[Y]$

We have

$\mathbb E[(aX-b)(cY-d)]=\mathbb E[acXY-adX-bcY+bd]$

$=ac\mathbb E[XY]-ad\mathbb E[X]-bc\mathbb E[Y]+bd$

$\mathbb E[aX-b]=a\mathbb E[X]-b$

$\mathbb E[cY-d]=c\mathbb E[Y]-d$

$\mathbb E[aX-b]\mathbb E[cY-d]=ac\mathbb E[X]\mathbb E[Y]-ad\mathbb E[X]-bc\mathbb E[Y]+bd$

Putting everything together, we find the covariance reduces to

$\mathrm{Cov}(aX-b,cY-d)=ac(\mathbb E[XY]-\mathbb E[X]\mathbb E[Y])=ac\mathrm{Cov}(X,Y)$

as desired.

5 0

3 years ago

here are the dimension of the oven tray jenny bakes the cake on.600mm and 500mm.a cake tin is 25 cm in diameter .how many cake t

castortr0y [4]

First we have 2 types of units of measurement so let’s make all the same type.
600mm= 60 cm
500mm= 50 cm
Tray dimensions are 60 by 50 cm and is a rectangle

Cake tin is round and has diameter 25 cm

We can fit 2 rows and 2 columns of tins
Since (25+25) is less or equal to 50
And (25+25) is less or equal to 60

Answer 4 cake tins

7 0

3 years ago

The sum of two numbers is 8. their difference is 12. find the numbers.

Aleonysh [2.5K]

X + y = 8
x - y = 12
--------------add
2x = 20
x = 20/2
x = 10

x + y = 8
10 + y = 8
y = 8 - 10
y = -2

ur numbers are 10 and -2

7 0

3 years ago

Read 2 more answers