A hiker walks 11 km due north from camp and then turns and walks 11 km due east. What is the magnitude of the displacement (on a straight line) of the hiker from the camp?

Answers

Answer 1

Answer:16

Step-by-step explanation:

Answer 2

Answer:22 km

Step-by-step explanation:


Related Questions

Please help!!!

3(x – 10) = -9

Answers

Answer:

The answer is x = 7

Step-by-step explanation:

Divide each term by  3  and simplify. Move all terms not containing  x  to the right side of the equation.

Answer:

[tex]\huge\boxed{x=7}[/tex]

Step-by-step explanation:

In order to solve for x, our goal is to isolate it on one side of the equation. We can do this by reversing the equation.

Let's apply the distributive property on the left side:

[tex](3 \cdot x) + (3 \cdot -10) = -9\\\\3x-30=-9[/tex]

Add 30 to both sides:

[tex]3x - 30 + 30 = -9 + 30\\\\3x = 21[/tex]

Divide both sides by 3:

[tex]3x \div 3 = 21 \div 3\\\\x = 7[/tex]

So x = 7.

Hope this helped!

Can someone help me?

Answers

Answer:

Step-by-step explanation:

Yeah.I would be glad to.

What do you need help with?

Which one is correct?

Answers

Answer:

A

Step-by-step explanation:

I think it’s A
Tell me if I’m wrong

Could anyone please help me with this for Calculus AB? I'm not entirely sure if the answer I put down is correct or not; I got some funky graphs for it though.

Answers

Hi there! :)

C. has both jump and infinite discontinuity.

Evaluate both piecewise functions at x = 1;

1 / (x + 1) = 1 / ((1) + 1) = 1/2

2x - 1 = 2(1) - 1 = 1

As the piecewise functions contain different y-values when evaluated at

x = 1,  there is a jump discontinuity at x = 1.

However, the first function also contains a vertical asymptote or infinite discontinuity where it is undefined, or at x = -1. (1 / 0 = undefined). This means that the function also contains an infinite discontinuity.

Therefore, the correct choice is:

C. has both jump and infinite discontinuity.

solve for w. need help pls

Answers

Answer:

w = -8

Step-by-step explanation:

19 = -9w - 5 + 6w

19 = -3w - 5

19 + 5 = -3w

24 = - 3w

w = -8

Answer: W=-8
................

What is the quotient of 3/4 1/6?

Answers

Answer: 9/2

......................

10x + 12 = [2+3(2x-4)+1]
Solve for x

Answers

Answer:

-21/4

Step-by-step explanation:

Every day, you buy your lunch for $4 at school. How much money will you spend if you buy your lunch from Monday through Friday for three weeks?

Answers

Answer: 60

Step-by-step explanation: If you buy your lunch every day for 1 week, that would be 20 dollars spent. If you spend 20 dollars in 1 week, then 3 weeks would be 60.

Let me know if I'm right!

If you buy lunch everyday at school for $4 thats $20 a week, and $60 in 3 weeks.

The answer to this question is $60.

$4 x 5 = $20

$20 x 3 = $60

Determine an interest rate less than 15%, a period of investment greater than two years, and a regular payment that will result in the total amount of interest you earn being equal to the total amount of money you put in?for example, under what conditions will you have a future value of $1 000 000, having earned $500 000 interest?)

Answers

Answer:

  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.                                    

Step-by-step explanation:

Let we invest $500 with the interest rate of  14% ,

Now we will find the time it is going to take to double the money

here, we use the formula of compound interest [tex]A= P( 1+\frac{r}{n}) ^{nt}[/tex]

Here, A = the amount yielded,

P = principal,

r = interest rate ,

n = number of times per year,

and t =  time invested.

Now, put A= 1000 , P= 500 , R= 0.14   T= x and N= 1

      [tex]1000=500(1+ 0.14)^x[/tex]      

      [tex]1000=500(1.14)^x[/tex]

       [tex]2=1.14^x[/tex]

     [tex]\log_{1.14} (2)=x[/tex]

      [tex]x=5.29[/tex]

so ,  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.    

Hence , the answer is 5.29 years .                  

*NOTE YOU WIN 37POINT FOR ANSWERING** Clare mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate Han mixes 1 2/3 water with 1/4 a cup of orange juice concentrate which one tastes stronger?

Answers

Hans is going to taste stronger

Sue is offered a job reshelving books in the University of Montana library from noon until 1 p.M. Each Friday. Her reservation wage for this task is $10 per hour. If the library director offers Sue $100 per hour, how much economic surplus will she enjoy as a result of accepting the job? Now suppose the library director announces that the earnings from the job will be divided equally among the 400 students who live in Sue's dormitory. Will Sue still accept? Explain how your answers to parts a and b illustrate one of the incentive problems inherent in income redistribution programs.

Answers

Answer:

Step-by-step explanation:

Sue's initial wage per hour = $10

Sue's wage per hour after the increase = $100

a. Economic surplus to be enjoyed = $100 - $10

                                                      = $90

Sue would enjoy an economic surplus of $90.

b. No, because in this case the wage per hour for each 400 student would be;

                                          =  [tex]\frac{100}{400}[/tex]

                                          = $0.25

                                          = 25 cents

Redistribution of income is the act of equal sharing of wealth among a certain number of people.

The problem here is that Sue would feel cheated with the division of the earnings among 400 students, but very happy when her wages was increased.

Though the income incentive redistribution programs reduce poverty, but it may be unfair.

What is 2/5 of a book to 1/2 of an hour as a unit rate?

Answers

Answer: 4/5 book per hour

Step-by-step explanation:                                                                        in this question, we are to rewrite (2/5)/(1/2) as unit rate.

To write this as a unit rate, what we need to do  is to divide 2/5 by 1/2.

That means 2/5 divided by 1/2

Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5 books/hour

7
When you raise a number to the
second power or a power of 2, you
could say that you
the

number

Answers

Answer:

is multiplied by itself.

Step-by-step explanation:

2 to the second power is four, and so is 2 times 2.

7 to the second power is 49, and so is 7 times 7.

They are the same thing.

Hope this helps!

The number multiplied by itself

For example 7 to the 2nd power would be the equation
7 x 7 = 49

and 7 to the 3rd power would be
7 x 7 x 7 = 343

1. The length of a
rectangle is three inches more than its width. It's area is 130 in^2. Find the width and length of the triangle.​

Answers

Answer:

Length= 13in

Width= 10 in

Step-by-step explanation:

Let x=length

Let y=width

x=3+y

xy=130in^2

(3+y)y=130in^2

3y+y^2=130in^2

y^2+3y-130=0

y=10

x=3+10

x=13

Find the missing number 390x__=390,000
Answers
A 10^2
B 10^3
C 10^4
D 10^5

Answers

Answer:

B. 10 to the third power

The required missing number in 390 x __ = 390,000 is 10³. option B is correct.

The missing number in the calculation 390x__=390,000 is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the missing number be x,
Now the given expression becomes,

390 * x =390,000
x = 390,000 / 390
x = 1000
x = 10³

Thus, the required missing number in 390x__=390,000 is 10³. option B is correct.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2


slop intercept form of: y-5=2(x+2)

Answers

Answer: y= 2x+9

have a good day!

Write an equation for the line that passes through (10, 17) and (20, 37)

Answers

y=2x-3 is the equation for the line that goes through (10,17) and (20,37)

Buzz and Jessie are missing each other and their friend Woody. They want to meet at Woody's house which is halfway between their apartments. The distance from Buzz's apartment to Woody s house is (5x + 4) miles, while Jessie's apartment is (15x + 30) miles. How far apart do Jessie & Buzz live from each other?​

Answers

Answer:10x + 26

Step-by-step explanation:

Mr. Santos wanted to know the height of the tree. He observed from a point A that the angle of elevation of the top of the tree is 36 degrees. He then moved backwards 50 ft away from the initial point A, the angle of elevation of the top of the tree was 22 degrees. Find the height of the tree.

Answers

Answer:

The height of the tree is approximately 45.51 ft.

Step-by-step explanation:

The given information are;

The angle of elevation of the top of tree is 36 degrees

The distance backwards Mr. Santos moved = 50 ft.

The new angle of elevation of the top of the tree = 22 degrees

Therefore, we have;

The angle opposite to the 50 ft. side = 180 - (180 - 36) - 22° = 14°

Therefore, we have, by sine rule;

50/(sin(14)) = X/(sin(22))

X = (sin(22)) × 50/(sin(14)) ≈ 77.42 ft.

The height of the tree, T =  X × sin(36°)

T = 77.42 ft. × sin(36°)  ≈ 45.51 ft.

The height of the tree is approximately 45.51 ft

15 POINTS!
What is the correct answer for Dean's problem? Explain where he went wrong.

Answers

Answer:

The slope is 5/-2.

Step-by-step explanation:

Slope is y1-y2 over m1-m2 (rise over run). The first ordered pair is -2 (m1) and 11 (y1). We then subtract the second ordered pair (4 (m2) and -4 (y2)) from the first.

11 - (-4) = 11 + 4 = 15

-2 - 4 = -6

Remember, slope is rise over run (y over x), so the slope is 15/-6. Now, we must simplify. 15/-6 = 5/-2

Dean went wrong because he thought that slope was run over rise (x over y). If he had switched the two numbers, his answer would have been correct.

Can y’all help I don’t know how to do these

Answers

Answer:

The measure of angle 6 is 62 degrees.

The measure of angle 3 is 64 degrees.

The measure of angle 8 is 54 degrees.

The measure of angle 4 is 64 degrees.

The measure of angle 12 is 32 degrees.

Step-by-step explanation:

you have $40 to spend on n gallons of gas that costs $3.25 per gallon. ​

Answers

Answer:

You can buy 12 gallons of gas.

Step-by-step explanation:

I took 40 and 3.25, then divided them.

I got a very large ugly decimal. When simplified it is 12.


Currently, there are 65 members in the school computer dub. The club is gaining 12 members per year. How long will take for the dub to have at least 113
membrs?

Answers

Answer:

4 years

Step-by-step explanation:

65+12x= 113

12x=113-65

x = 48/12=4

The following table shows how far a runner has gone in t minutes. Which of the following equations represents this information?
A. t = 350d

B. t = 300d + 100

C. d = 350t

D. d = 300t + 100 Minutes (t) Meters (d)
2 700
3 1,050
5 1,750
10 3,500

Answers

Answer:

d = 350t

Step-by-step explanation:

From the information given, we need to get the rate of change of distance which is the velocity (slope.)

velocity = Δd/Δt

v = d2-d1/t2-t1

from the table;

when t = 2, d = 700

when t  = 3, d = 1050

v = 1050/750/3-2

v = 350/1

v = 350

Since v = d/t

350 = d/t

cross multiply

350t = d

Rearrange:

d = 350t

Hence the equation that represents the information is d = 350t

Answer:

D

Step-by-step explanation:

a clay model of a new car is 7 in. long if the car is 21 ft long how could you find the scale used to make the model

Answers

Answer:

The scale model = 1 :36 or 1 to 26

Step-by-step explanation:

A clay model of a new car is 7 in. long if the car is 21 ft long

Note that:

1 foot = 12 inches

21 foot =

Cross Multiply

21 foot × 12 inches

= 252 inches

Therefore, the scale =

7 inches : 252 inches

1 : 36

a polynomial function with leading term 8x ^9 has a degree of what?

Answers

Answer:

9

Step-by-step explanation:

hi! if the leading term is 8x^9, this means that this is the term with the highest power. therefore, its degree is 9.

The degree of the given polynomial is 9

What is a polynomial expression?

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here; a polynomial function with leading term 8x⁹

Now The Degree of a Polynomial is the largest of the degrees of the individual terms. The degree of an individual term of a polynomial is the exponent of its variable and the highest degree of the terms given in the expression is the degree. And thus the expression with leading  term 8x⁹ is 9

Hence, The degree of the given polynomial is 9

Learn more about polynomial expressions here:

https://brainly.com/question/11536910

#SPJ2

A=1/2bh for h

Need help

Answers

Answer:

2A/b = h

Step-by-step explanation:

A=1/2bh

Multiply each side by 2

2A = 2 * 1/2 bh

2A = bh

Divide each side by b

2A/b = bh/b

2A/b = h

The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.

A graph on a coordinate plane titled Distance Remaining Over Time. The x-axis is labeled time (in hours), numbered 1 to 8, and the y-axis is labeled miles to destination, numbered 50 to 400. A straight line with a negative slope starts at point (0, 350) and ends at point (7, 0).

Which statement is true?

Answers

Answer:

B- For each hour that Michelle drove, she traveled an additional 50 miles.

Step-by-step explanation:

The statement that is true is For each hour that Michelle drove, she traveled an additional 50 miles.

What is a graph?

The graph shows the relationship between a distance and the time .

With the graph interpretation, it display the relationship between the  number of hours that Michelle is driving as well as the distance, and it can be deduced that it started at  0 hours, and distance of 350 miles

Hence, option B is correct because  Michelle drove, an additional 50 miles since at zero y-coordinate was  no more distance to cover.

Check the graph at the attachment.

Learn more about graph at:

https://brainly.com/question/4025726

#SPJ9

if ribbon candy costs 2.50 per foot. How many feet can you buy if u have 11.25

Answers

You can buy 4 feet and one half of ribbon candy.

The temperature on Monday was 78.8°C. The temperature on Tuesday was 6.6°C less than the temperature on Monday. What was the temperature on Tuesday? -

Answers

Answer:

72.2

Step-by-step explanation:

Monday: 78.8

Tuesday: 78.8 - 6.6 = 72.2

Other Questions
there seems to be to much testing in public schools fact or opinion l'actrice2.les lyces3.les diffrences4.la chose5.le bureau6.le caf which pair of elements would form an ionic bond? A. Carbon (C) and oxygen (o)B. Strontium (Sr) and chlorine (Cl)C. Cesium (Cs) and geranium (Ge)D. Magnesium (Mg) and aluminum (Al) whats the name of the fifth American president Solve for p in the literal equation 7p + 6r= qp= pleeeeeeese help Which of the following tools did Sumerians use to write with?lead pencilsreed penshandmade paperinks and dyes Write a paragraph about North Carolina degradation, how does soil erosion affect N.C? Make a paragraph about the environment and the degradation in it in your OWN words. how did massachusetts colony government grow and change over time? Please helppppp Determine whether each equation represents a proportional relationship.y = 3 + xProportional RelationshipNot a Proportional Relationshipy = 1.6%y = 3/(4x)y = xy = 12xy = 2x + 1 -k/5 = 7/5 can someone help with this? Which answer choice is the best example of a theme? A. success B. Hard work and determination can lead to success. C. Few athletes become professionally successful. D. success in the workplace Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!! How did carnegies views about the duty of the wealthy men indicate his belief in social Darwinism? significance of protein will the square roots of perfect squares always be irrational numbers please help me!! will mark brainliest!! Use the drawing tool(s) to form the correct answer on the provided graph.The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation off as shown below.g(x) =3/4 f(x)Graph function g on the same coordinate plane. Here are three different rules:number of tiles = position x 1 + 1number of tiles = position x 3 + 1number of tiles = position x 5 + 1How are these pattern rules the same?How are these pattern rules different? 5+612-3= -36-15xf es para hoy According to Jefferson, a government must _____.A) hold free elections every four yearsB) tax its citizens only with a valid reason for doing soC) respect the rights of its citizens or risk being overthrownD) provide security for its citizens in the form of a strong military Select the correct location on the map.In which region are the ruins of Tell Qaramel located?