A stream is flowing down a slope into a larger river. The elevation of the head of the stream is 2,200 feet above sea level. The elevation of the mouth of the stream is 1,000 feet. The horizontal distance along the stream between those two points is 63,360 feet. What is the gradient of the slope the stream is flowing over in ft/mi

Answers

Answer 1

Answer:

[tex]100\ \text{ft/mi}[/tex]

Step-by-step explanation:

Elevation of the head of the stream is 2,200 feet above sea level

Elevation of the mouth of the stream is 1,000 feet

Rise = [tex]2200-1000=1200\ \text{ft}[/tex]

Distance between the two points = [tex]63360\ \text{ft}=\dfrac{63360}{5280}=12\ \text{mi}[/tex] = Run

Gradient is given by

[tex]\dfrac{\text{Rise}}{\text{Run}}=\dfrac{1200}{12}\\ =100\ \text{ft/mi}[/tex]

The gradient of the slope the stream is flowing over is [tex]100\ \text{ft/mi}[/tex].


Related Questions

caculate the VAT inclusive amount for R42,42​

Answers

Answer: R47.66

Step-by-step explanation:

Assuming this amount of R42.42 is Indian Rupees, then the relevant VAT rate to use is 12.36% which is the VAT rate in India.

The VAT inclusive amount is therefore:

= 42.42 * ( 1 + tax rate)

= 42.42 * ( 1 + 12.36%)

= R47.66

What is the radius of the button? 26 millimeters

Answers

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

hi lol Idek anyways tell me if its wrong

The sum of three whole numbers is 27. The mean of the three whole numbers is 9, and the greatest number is twice the least number.
What is the greatest number?

Answers

9514 1404 393

Answer:

  12

Step-by-step explanation:

Let x be the smallest number, and y be the middle number. Then the largest number is 2x and the sum is ...

  x + y + 2x = 27   ⇒   y = 27 -3x

The requirement that the middle number is y gives rise to the inequality ...

  x < y < 2x

Substituting for y, we have ...

  x < 27 -3x < 2x

Adding 3x gives us ...

  4x < 27 < 5x

These two inequalities give us the requirement that ...

  27/5 < x < 27/4

  5.4 < x < 6.75

The only whole number in that range is x = 6. So, the greatest number is 2×6 = 12.

The greatest number is 12.

The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the first five terms of the sequence

Answers

Answer:

second term: 9

4th term:81

[tex](3rd \: term)^{2} = 9 \times 81[/tex]

=729

[tex] \sqrt{729} = 27[/tex]

3rd term=27

[tex] {9}^{2} = a1x27 \\ 81 = 27a1[/tex]

a1=3 the first term

[tex]81 = 3 \times {q}^{3} [/tex]

[tex] {q}^{3} = 27[/tex]

q=3

[tex]s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5[/tex]

9482 ÷ 497 answer pls

Answers

Answer:

19.0784708249

Step-by-step explanation:

2/4 of a number is 16. What is the number?

Answers

Answer: 32

This is because it’s asking for double of 16

Can someone please help me sorry it’s kinda hard to see

Answers

Answer:

C.

Step-by-step explanation:

each edge/vertex was taken 2 units to the right and 8 units down to make the figure M'

I traced it to make sure

hope this helps <3

Answer:

C.

Step-by-step explanation:

each edge/vertex was taken 2 units to the right and 8 units down to make the figure M'

I traced it to make sure

hope this helps <3

Solve the Linear-Quadratic System of Inequalities. Shade the solution on the graph provided.

y > x^2 - 1
-1/2x + 3 < y

Answers

Answer:

We have the system:

y > x^2 - 1

y < (-1/2)*x + 3

To find the solutions of this set we need to graph the solutions range of both sets, and see the intersection between these solution ranges.

How we do it?

Start with the first one.

First, we graph the equation:

y = x^2 - 1

Now because we are using the symbol ">" means that y is smaller than the thing at the right, then the graph of the equation will be with a dashed line (which means that the points on the line are not solutions) and we will shade all the region above the line

For the other inequality we do the same:

First we graph:

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

And because we have the symbol "<" we again use a dashed line, but this time we will shade all the region below the line.

Once we shaded both regions, the region where we have both shades will be the region of solutions for the system of inequalities.

You can see the graph below.

900 students attend Ridge wood Junior High School. 25% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday

Answers

Answer:

225 students

Step-by-step explanation:

Total number of students = 900 students

percent that bring lunch to school everyday = 25%

Number of student that bring lunch to school = 25% of 900

Number of student that bring lunch to school = 0.25 * 900

Number of student that bring lunch to school = 225

Hence 225 students bring lunch to school everyday

What is 468,839 rounded to the nearest hundred thousand?

Answers

Answer:

500,000

Step-by-step explanation:

Answer:

500,000

hope this is right

The cost per guest of catering an event of no more than 100 people is modeled by the function f(x) = 20 + 5x. The number of guests is modeled by the function g(x) = 100 −x , where x represents the number of guests fewer than 100 that attend. Evaluate(f ∙g )(18) and interpret what it means in the context of the problem.

Answers

Answer:  

430 is the cost of catering 18 less than 100 guests.

Step-by-step explanation:

f(g(18))=f(100-18)=f(82)=20+5*82=430

suppose f(×) = 2^×, sketch a graph of f(×) and f^-1(×)​

Answers

Let f(x) = y

y = 2^x

x = 2^y

Solve for y.

ln x = ln(2^y)

ln x = y ln 2

ln x/ln 2 = y

Replace y with f^(-1) x.

f^(-1) x = ln x/ln 2

We now know f(x) and f^(-1) x.

Use your graphing calculator to graph the function and its inverse on the same xy-plane. If you don't have a graphing calculator, use DESMOS online.

Good luck.  

California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice. If the underlying population SDs are equal, a simple random sample of 1000 people in California is

Answers

Question Completion:

California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice.

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

(ii) about 1/V2 times as accurate

(iii) about as accurate

(iv) about V2 times as accurate

(v) about twice as accurate

as a simple random sample of 1000 people in New York State.

Answer:

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

as a simple random sample of 1000 people in New York State.

Step-by-step explanation:

Since the population of California is about 40 million, which is twice as many people as in New York State (approximately 20 million), in taking a sample size, that of California supposed to be as twice as New York's.

Therefore, if the random sample of 1,000 people is taken from California, just as a random sample of 1,000 people is also taken from New York State, we can conclude that the accuracy of population standard deviation of California will be about half as accurate as the standard deviation of New York's population.

This is because accuracy is enhanced by a larger sample size.  This means that if the sample size of California is 2,000, the SD would have been equally as accurate as New York's.


Maureen went on a 3 day, 50 mile biking trip. The first day she biked 6 miles. The second day she
biked 19 miles. How many miles did she bike on the 3rd day?

Answers

Step-by-step explanation:

Given

d1 = 6 miles

d2 = 19 miles

d3 = ?

d1+d2+d3 = 50

6+19+d3 = 50

25+d3 = 50

d3 = 50 - 25

= 25miles

A box contains 16 chocolates, of which
3 are known to contain nuts.
Two chocolates are selected at random.
a. Find the probability that
a exactly one chocolate contains
nuts

b at least one chocolate contains
nuts.

Answers

Answer:

3/16??? and 1/16???

Step-by-step explanation:

im so sorry this might be wrong

The probability that a exactly one chocolate contains nuts is 3/16 and probability that at least one chocolate contains nuts is 0.339.

How to calculate probability ?

Probability is calculated by dividing the number of possible outcomes by the total number of possible outcomes. Probability and odds are two distinct concepts. Odds are calculated by dividing the probability of something happening by the probability of it not happening.

When you calculate probability, you are estimating the likelihood of something occurring and representing it with a precise number.

The probability that a exactly one chocolate contains nuts

No of total chocolates = 16 chocolates

No of chocolates contain nuts = 3

The probability that a exactly one chocolate contains nuts = 3/16

Probability that  at least one chocolate contains nuts is

P(at least one contains nut) = 1 – P(given contains no nuts )^n

P(at least one contains nut) = 1 – (0.8125)^2

P(at least one contains nut) = 0.339

Probability that  at least one chocolate contains nuts = 0.339

To learn more about Probability refer :

https://brainly.com/question/251701

#SPJ2

If anyone knows this I will give them brainiest

Answers

Answer:

x = 12

m(QS) = 52°

m(PD) = 152°

Step-by-step explanation:

Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)

Thus:

m<R = ½[m(PD) - m(QS)]

50° = ½[(12x + 8) - (4x + 4)] => substitution

Solve for x

Multiply both sides by 2

2*50 = (12x + 8) - (4x + 4)

100 = (12x + 8) - (4x + 4)

100 = 12x + 8 - 4x - 4 (distributive property)

Add like terms

100 = 8x + 4

100 - 4 = 8x

96 = 8x

96/8 = x

12 = x

x = 12

✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°

✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°

The number of light bulbs produced by a company can be modeled by the expression
15x^3+16x^2–100x+51, where x is the number of years passed since 1980. The number of companies
purchasing the light bulbs is represented by 5x–3. Which is the expression representing the average number
of light bulbs purchased per company?

Answers

Answer:

Expression is 3x² + 5x - 17

Step-by-step explanation:

We are told the number of lights produced by a company is;

Number of lights = 15x^3 + 16x^2 – 100x + 51

Also, number of companies that purchased the light bulbs is 5x - 3.

Thus;

The average number of bulbs purchased per company = (15x^3 + 16x^2 – 100x + 51)/(5x - 3)

I have attached the calculation using long division method to get;

3x² + 5x - 17

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).
How many points need to be removed from this graph so that it will be a function?

1 point
2 points
3 points
4 points

Answers

Answer:

3 points

Step-by-step explanation:

A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).

So the relation can be represented with points (x, y), which means that point x is being mapped into point y.

Such that the needed condition is that each element of the domain is mapped into only one element in the domain.

So for example, if for a relationship we have the points (a, b) and (a, c)

The point a is being mapped into two different outputs.

Now let's go to our problem, we have the points:

(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)

If we have repeated inputs, we need to remove points until we have one of each.

We can see that the inputs -3, 1, and 2 are repeated one time.

Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:

(-3, 2), (1, 4), and (2, -4)

This is a function.

Then we need to remove 3 points.

Answer:

C) 3 POINTS

Step-by-step explanation:

ON EDGE 2021

TIMED WILL GIVE BRAINLYIST

Answers

Answer:

D)

Step-by-step explanation:

TY is a ray.

FR is a segment.

Ray TY intersects segment FR at point P.

Answer: D)

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Answer: TY intersects FR at point P

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Please help me and actually give me a proper answer pleaseeee I beg youuuu

Answers

Answer:

A

Step-by-step explanation:

To figure out when the object hit the ground you need to set h(t)=0, after this you need to find the number that when it is plugged in for t makes the equation equal to 0

helppp meee plsss i’m begging

Answers

Answer:

y = 9

Step-by-step explanation:

1. What is the probability that three or more copies will be demanded in a particular day?
a. 0.14
b. 0.20
c. 0.64
d. 1

Answers

Answer:

C. 0.64

Step-by-step explanation:

Sana makatulong :-)

Find the volume of the rectangular prism.
Volume =
_in?
7 in.
10 in.
7 in.

Answers

Answer:

490 in.^3

Step-by-step explanation:

volume = length * width * height

volume = 7 in. * 10 in. * 7 in.

volume = 490 in.^3

Volume = edge^(3).

Volume = (7)(10)(7) inches

Volume = 490in^3

Which expression is equivalent to 16+2·36?
f 2^4 + 2^3 ⋅ 3^2
g 2^3 + 2^3 ⋅ 3^2
h 2^4 + 2^2 ⋅ 3^2
j 2^3 + 2^2 ⋅ 3^3

Answers

9514 1404 393

Answer:

  f  2^4 + 2^3 ⋅ 3^2

Step-by-step explanation:

16 +2·36 = 16 +2·4·9 = 16 +8·9

  = 2^4 + 2^3 · 3^2 . . . . . matches choice F

_____

Since you're familiar with your multiplication tables, you know ...

  4 = 2·2

  8 = 2·4 = 2·2·2 = 2^3

  16 = 2·8 = 2·2·2·2 = 2^4

  9 = 3·3 = 3^2

  36 = 4·9

The exponent signifies repeated multiplication.

Answer:

f  2^4 + 2^3 ⋅ 3^2

Step-by-step explanation:

What is the area of a circle with a radius of 1 foot?

Answers

Answer:

C. π ft ²

Step-by-step explanation:

:)

Answer:

c. 3.14^2

Step-by-step explanation:

A= pi × R^2

have a good day

f) 2(x +3) = 8 - 3 (x-4)​

Answers

Answer: x = 14/5.   Because first we Distribute and get 2x + 6 = 8 - 3(x-4) then, we Distribute it again 2x + 6 = 8 - 3x + 12 then we Add the numbers and get 14/5

Answer:

x = 2.8

Step-by-step explanation:

2(x +3) = 8 - 3 (x-4)

=> 2x + 6 = 8 - 3x + 12

=> 2x + 3x = 8 - 6 + 12

=> 5x = 14

[tex] = > x = \frac{14}{5} [/tex]

=> x = 2.8 (Ans)

help me get this answer please

Answers

Answer:

First, we find how many red beads there are:

2 + 1 + 3 = 6

12 - 6 = 6

Red beads = 6

Now we add the red beads and the purple beads:

Purple beads = 3

Red beads = 6

3 + 6 = 9

9/12 = 3/4

Hope this helps!

Evie buys an energy drink
The can is 12 cm high and the diameter is 5 cm.
Use 1-3
+5 cm
12 cm
SINH
Using the formula V = 12h, work out the volume of the can.
Give the units of your answer.
Select...

Answers

ngl I think you'll have to format it clearer, cause I have no clue what's happening

A parking lot has 30 cars and 12 trucks. Find the ratio of cars to trucks.

Answers

Answer:

::::::::::::::::::

5:2

The graphs of triangles LMN and NOP are shown.

which of the following best describes the slope of line LP?

A) 5/2
B) 2
C) 2/5
D) 1/3

Answers

Answer:  Choice C) 2/5

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

Explanation:

Point L is located at (-8, 1) while P is at the point (7,7)

Let's apply the slope formula for these two points

m = (y2-y1)/(x2-x1)

m = (7-1)/(7-(-8))

m = (7-1)/(7+8)

m = 6/15

m = (3*2)/(3*5)

m = 2/5 is the slope of line LP

A slope of 2/5 means that each time you go up vertically 2 units (rise), you move to the right 5 units (run). In short, it's "up 2, over to the right 5". A positive slope means we move upward as we move from left to right.

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