Mathematics High School

What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west and then 2 blocks south?

Answers

Answer 1

The total displacement is 2 since its last position is 2 blocks east from the initial position

Answer 2

The total displacement of the student is 2 block east.

We know that displacement refers to less distance that shows the difference between the starting & the final position.

Based on this,

y = 2 -2 = 0

x = 3 - 1 = 2

So, we can conclude that the total displacement of the student is 2 block east.

Learn more about the displacement here: brainly.com/question/11934397

Related Questions

If f(x)=x^2+3x+5 what is f(3+h) ?

Answers

f(x)=x^2+3x+5
f(3+h)=(3+h)^2+3(3+h)+5
f(3+h)=9+6h+h^2+9+3h+5
f(3+h)=23+9h+h^2

f(x) = x^2 + 3x + 5
f(3+h) = (3+h)^2 + 3(3+h) + 5 ... replace every x with 3+h
f(3+h) = (3+h)(3+h) + 3(3+h) + 5
f(3+h) = (3^2+2*3*h+h^2) + (3*3+3*h) + 5
f(3+h) = (9+6h+h^2) + (9+3h) + 5
f(3+h) = 9+6h+h^2 + 9+3h + 5
f(3+h) = h^2 + (6h+3h) + (9+9+5)
f(3+h) = h^2+9h+23

What is the square root of 9/36 as a fraction?

Answers

1/12 the answer is 1/12 as a fraction

Convert 5460 feet per minute to miles per hour. Round to the nearest whole number

Answers

that's just for 1 set of 5460 ft and make sure u round

find the value of v......

Answers

you should get photomath (not promotion)

Transitive property: if 3x plus y equals 7 and 7 equals 5x minus 2y then

Answers

3x + y = 7
7 = 5x - 2y

THEN 3x + y = 5x - 2y ... it's like you're taking out the middle man "7"

Transitive property states that if x = y and y = z then x = z.

3x + y = 7 and 7 = 5x - 2y

Using the transitive property we get,

3x + y = 5x - 2y.

What is transitive property?

It states that if x, y and z are the three quantities, and if x is related to y by a rule, and y is related to z by the same rule, then we can say x is related to z by the same rule.

Example:

x + 1 = 2 and 2 = x + 9 then x + 1 = x + 9

We have,

3x + y = 7 and 7 = 5x - 2y

Using transitive property we can say that,

3x + y = 5x - 2y

Thus using the transitive property we have,

3x + y = 5x - 2y.

Learn more about the transitive property here:

https://brainly.com/question/2437149

#SPJ5

The sides of an equilateral triangle are increasing at a rate of 10 cm/min. at what rate is the area of the triangle increasing when the sides are 30 cm long?

Answers

Area of a triangle is given by

[tex]Area= \frac{1}{2} ab\sin C= \frac{1}{2} s^2\sin C[/tex]

Since the sides of an equilateral triangle are equal.

Differentiating the area of the triangle, we have:

[tex] \frac{dA}{dt} = \frac{dA}{ds} \cdot \frac{ds}{dt} =(s\sin C) \frac{ds}{dt} [/tex]

where

[tex] \frac{ds}{dt} =10\,cm/min \\ s=30 \, cm[/tex]

[tex]\therefore \frac{dA}{dt} =(30\sin60)\times10=300\sin60=259.8\, cm^2/min[/tex]

Therefore, the rate is the area of the triangle increasing when the sides are 30 cm long is 259.8 cm^2 / min

Which value of x makes the numerical sentence true? 25^ 1/2 × 5 ^–3 = 5 ^x

Answers

5^-3=0.008
1/2=0.5
0.5*0.008=0.004
5/0.004=1250

25^1/2 × 5^–3 = 5 ^x
(5^2)1/2 × 5^–3 = 5^x
5^1 × 5^–3 = 5^x
5^-2 = 5^x
-2 = x
or
x = -2

answer
x = -2 makes the numerical sentence true

Irina rode her bike to work at an average speed of 16 miles per hour. It started to rain, so she got a ride home along the same route in her coworker’s car at an average speed of 27 miles per hour. If Irina’s ride home in the car took 24 minutes (0.4 of an hour), how many hours was her bike ride to work, to the nearest tenth of an hour?

Answers

0.7 of an hour this is the correct answer if you put this in your quiz you will get a A for that question if you dont understand ask your teacher but this is the correct answer.

Answer:

0.7 an hour .

Step-by-step explanation:

find the greatest common factor of 15x^2y^3 and -20x^3yz

Answers

5x^2y is the greatest common factor

The greatest common factor of [tex]$15x^2y^3$[/tex] and [tex]$-20x^3yz$[/tex] is [tex]$5x^2y$[/tex].

To find the greatest common factor (GCF) of [tex]$15x^2y^3$[/tex] and [tex]$-20x^3yz$[/tex], we need to identify the highest power of each common factor that both terms share.

List the prime factors of each term:

[tex]$15x^2y^3 = 3 \times 5 \times x^2 \times y^3$[/tex]

[tex]$-20x^3yz = -1 \times 2 \times 2 \times 5 \times x^3 \times y \times z$[/tex]

Identify the common factors:

Common factors: [tex]$5$, $x^2$, $y$[/tex]

Find the lowest exponent for each common factor:

For (5), it appears in both terms, so we use the smaller exponent, which is [tex]$5^1$[/tex].

For [tex]$x^2$[/tex], it appears in both terms, so we use the smaller exponent, which is [tex]$x^2$[/tex].

For (y), it appears in both terms, so we use the smaller exponent, which is [tex]$y^1$[/tex].

Multiply the common factors:

[tex]$GCF = 5 \times x^2 \times y = 5x^2y$.[/tex]

So, the greatest common factor of [tex]$15x^2y^3$[/tex] and [tex]$-20x^3yz$[/tex] is [tex]$5x^2y$[/tex].

What is the simplest form of

Answers

Factor the numerator and factor the denominator.

[tex] \frac{x^2 + 5x - 36}{x^2 - 16} = \frac{(x +9)(x - 4)}{(x + 4)(x - 4)} = \frac{x+9}{x+4} [/tex]

Then you divide the numerator and the denominator by the common factor to reduce the fraction.

What is the value of x? Answer it as a decimal

Answers

x / 97.5 = 49.5 / 71.5
71.5 x = 49.5 * 97.5
71.5 x = 4826.25
x = 4826.25 / 71.5
x = 67.5

When given the coordinates of the vertices of a triangle, can the slope formula be used to determine whether the triangle is a right triangle? if so, how?

Answers

I can use the Distance Formula to find the lengths of the each of the sides of the triangle, these lengths being the distances between the pairs of points. Then I can plus these distances into the Theorem to see if this triangle is a right triangle

What is 0.125 written as a fraction in simplest form?

Answers

1/8

hopefully this is helpful

What is the side length b in the triangle below

Answers

12^2 +b^2 = 20^2 because of the Pythagorean theorem
144 + b^2 =400
B^2 =256
B=16

Answer:

Option B : 16

Step-by-step explanation:

Refer the attached file

Given :

In ΔABC , AB = b , BC = 12 , AC= 20

To Find : value of b i.e. Length of AB

Solution:

Since we are given a right angles triangle so we can use Pythagoras theorem i.e.

[tex](Hypotenuse)^{2} =(Perpendicular)^{2} +(Base)^{2} [/tex] ---(a)

Now in a given triangle AB is Perpendicular , BC is Base and AC is Hypotenuse.

So, putting values in (a)

[tex](AC)^{2} =(AB)^{2} +(BC)^{2} [/tex]

[tex](20)^{2} =(b)^{2} +(12)^{2} [/tex]

[tex]400 =(AB)^{2} +144 [/tex]

[tex]400-144 =(b)^{2} [/tex]

[tex]256 =(b)^{2} [/tex]

[tex]\sqrt{256} =b[/tex]

[tex]16=b[/tex]

Thus the value of b is 6

Hence Option B is correct.

Ali,s dod weighs 8 times as many as her cat.Together, the two pets weigh 54 pounds.HOW much does Ali's dog weigh

Answers

Ali dog = 8units
cat = 1 unit
total = 9 units
9u= 54
1u=6
8u= 48 pounds

There are a few steps in order to get the correct answer.

First you have to look at the facts about what we know:
- her dog is 8 times as much as her cat
- her dog and cat together equal 54 pounds

Now you need to create the equations based on what you know:
Let's say x is her dog and y is her cat

x+y=54 (both dog & cat equal 54)
x=8y (dog is 8 times as much as cat)

Step 1 -
Put in what we know x is for our first equation and solve for y (cat):

8y+y=54 (Combine like terms)
9y=54 (Divide by 9 on each side to get y by itself)
y=6
Now we have solved for y, but we still don't know what x is.

Step 2 -
Put in y into our first equation to solve for x (dog):

x+6=54 (Subtract 6 from both sides to get x by itself)
x=48
Now we have solved for x also. So now we have both x and y.

But to check our work we just have to put the numbers into the original equations:

x+y=54 ----> 48+6=54 (Correct)
x=8y ----> 48=8(6) (Correct)

You now have your final answer. Ali's dog weighs 48 pounds and her cat weighs 6 pounds.

A sample of n = 9 scores is obtained from a population with m = 70 and s = 18. if the sample mean is m = 76, then what is the z-score for the sample mean?

Answers

n times m equals the correcr answrr

Which symbol creates a true sentence when x equals 3?
8•3-4x_7(10-x)
A.<
B.=
C.>

Answers

Hi Tysona90!
Let's write it with the X as a 3
8*3-4*3_7(10-3) Now let's solve it 8*3 is 24 and 4*3 is 12 so then we do 24-12 which is 12. So now we have 12_7(10-3) so let's solve the other half which is 10-3 is 7 times 7 (since parenthesis can also mean multiplication) which is 49 so we now have 12_49 which means the answer is A.
Hope this helps!

help me with algebra 2 homework

Answers

-10y + 9x = - 9....A
10y + 5x = - 5.....B

You should see right away that -10y and 10y cancel out.

We are left with

14x = -14

x = -14/14

x = -1

Plug x = -1 into EITHER equation A or B to find y.

I will use equation A.

-10y + 9(-1) = - 9

-10y - 9 = - 9

-10y = - 9 + 9

- 10y = 0

y = 0/-10

y = 0

Done!

What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x4+5 ? Enter your answer in the box.

Answers

y = x/4 + 5, slope = 1/4

perpendicular lines, slope is opposite and reciprocal
so slope = -4

passes through the point (2, 7)
y = mx + b
b = y - mx
b = 7 - (-4)(2)
b = 7 + 8
b = 15

equation
y = -4x + 15

answer
y = -4x + 15

20 points! If u can provide an explanation that would be great if not just tell me how certain that's the answer. Thanks a bunch

Answers

This is a linear programming problem. When I say "programming", I don't mean computers. This can be done without the use of a computer though I don't recommend doing it by hand.

Let
x = number of trays of corn muffins
y = number of trays of bran muffins

Given info: "baking a tray of corn muffins takes 4 cups of milk and 3 cups of wheat flour"
If we focus on the milk only then baking x trays of corn muffins means we use up 4*x (or simply 4x) cups of milk. Focus now on the wheat flour and it takes 3*x or 3x cups of wheat flour

Also given: "Baking a tray of bran muffins takes 2 cups of milk and 3 cups of wheat flour"
So we use up 2y cups of milk and 3y cups of wheat flour

-----------------

So far we have used 4x cups of milk for the corn muffins plus 2y more cups of milk for bran muffins giving a total of 4x+2y cups of milk used. We only have 16 cups of milk which means we can say this

4x + 2y <= 16

where the "<=" symbol without quotes means "less than or equal to". That inequality above is one of the constraints placed.

-----------------

Another constraint is this inequality

3x+3y <= 15

because
* we use 3x cups of wheat flour for the corn muffins
* we use 3y cups of wheat flour for the bran muffins
* we have a max of 15 cups of wheat flour

-----------------

Additional contraints are:
x >= 0
y >= 0
indicating that we cannot have x or y be negative

-----------------

The four constraints are:
4x + 2y <= 16
3x+3y <= 15
x >= 0
y >= 0

If you graph all of these inequalities and do the proper shading, you'll get what you see in the attached image. Specifically I'm talking about the blue shaded region. This region is known as the feasible region.

Now turn your attention to the red corner points aka the vertices. These points will be plugged into the objective function

P(x,y) = 3x+2y

This represents the profit (in dollars) of making x trays of corn muffins and y trays of bran muffins.
3x = 3*x = profit from just the corn muffins only
2y = 2*y = profit from just the bran muffins only
3x+2y = total profit (selling both corn and bran muffins)

The four corner points are:
A = (3,2)
B = (0,5)
C = (0,0)
D = (4,0)

Plug each of these points into P(x,y) = 3x+2y

-----------------------------

Plug in A = (x,y) = (3,2)
P(x,y) = 3x+2y
P(3,2) = 3*3+2*2
P(3,2) = 13

We earn a profit of $13 if we sell 3 trays of corn muffins and 2 trays of bran muffins

-----------------------------

Plug in (x,y) = (0,5) which is point B
P(x,y) = 3x+2y
P(0,5) = 3*0+2*5
P(0,5) = 10

The profit dropped to $10, so we can ignore point B. So far point A leads to the most profit.

-----------------------------

Plug in point C, which is (x,y) = (0,0)
P(x,y) = 3x+2y
P(0,0) = 3*0+2*0
P(0,0) = 0

The profit drops even further. Ignore this point.

-----------------------------

Plug in point D: (x,y) = (4,0)

P(x,y) = 3x+2y
P(4,0) = 3*4+2*0
P(4,0) = 12

The profit has gone back up but not at the same height as $13 back for point A. So we can cross this off the list too

-----------------------------

The max profit happens at point A which again was
(x,y) = (3,2)
x = 3 ----> selling 3 trays of corn muffins
y = 2 ----> selling 2 trays of bran muffins

----------------------------------------------------------
----------------------------------------------------------

So the final answer is choice A "3 trays of corn muffins and 2 trays of bran muffins"

A $360,000 building is depreciated by its owner. the value y of the building after x months is: y = 360,000 – 1,500 x. how many months will it take until it is completely depreciated

Answers

Final answer:

To find when the building will be completely depreciated, you solve for x in the equation y = 360,000 - 1,500x by setting y to 0. The solution is x = 240, meaning the building will be totally depreciated after 240 months or 20 years.

Explanation:

In this case, you are looking to find the value of x (the number of months) when the value of the building (y) becomes 0. The equation given is y = 360,000 - 1,500x. Set y = 0 and solve for x

First, replace y with 0 in the given equation: 0 = 360,000 - 1,500x. Next, move the term with x to the other side by adding 1,500x to both sides, which gives: 1,500x = 360,000.Finally, solve for x by dividing both sides of the equation by 1,500. This gives you: x = 360,000 / 1,500 = 240.

So, the building will be completely depreciated after 240 months or 20 years.

Learn more about Depreciation here:

https://brainly.com/question/17827672

#SPJ12

A solution containing 30 percent juice is mixed with a solution containing 10 percent juice to make 100 gallons of a 12 percent juice mixture. how much of the 30 percent juice solution was used

Answers

let there be x gallons of 30 percent juice, then there are (100-x) gallons of 12 percent juice.

0.30x+0.10(100-x)=100*0.12
0.3x+10-0.1x=12
0.2x=2
x=10

10 gallons of 30 percent juice should be used.

10 gallons of 30% juice was mixed with 90 gallons of 10% juice to make 100 gallons of 12% juice.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of 30% juice and y represent the amount of 10% juice, hence:

x + y = 100 (1)

Also:

0.3x + 0.1y = 0.12(100) (2)

From eqn 1 and 2:

x = 10, y = 90

10 gallons of 30% juice was mixed with 90 gallons of 10% juice to make 100 gallons of 12% juice.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

Which of the following expressions is a polynomial?

4a3+3a2+5a-9

32

y-3

x2-4x-2

Answers

x2-4x-2 is the answer

A computer password consists of 3 letters followed by two digits. none of the letters or digits repeat. how many different passwords can be created

Answers

751760.......................

Answer:

67,600

Step-by-step explanation:

Use the conversion factor 4 quarts / 1 gallon to convert 5.25 gallons to quarts

Answers

There are 21 quarts in 5.25 gallons.

Answer: 21 quarts

Step-by-step explanation: In this problem, we are asked to convert 5.25 gallons into quarts. To convert gallons into quarts, we use the conversion factor for gallons and quarts.

Conversion factor ⇒ 4 quarts = 1 gallon

Next, notice that we are going from a larger unit "gallons" to a smaller unit "quarts" and when we go from a larger unit to a smaller unit we multiply.

We will multiply 5.25 by the conversion factor which is 4 to get 21 quarts.

Therefore, 5.25 gallons is equal to 21 quarts.

What is (-3+2i)(-6-8i)

Answers

Do foil
First, outside, inside last

18 +24i - 12i + 16
(two i = -1)

18 - 12i + 16 is your answer

hope this helps

Show that each property of matrices is true for all 2 by 2 matrices scalar distributive

Answers

I don't know either. sorry.

Option 1: $30 per month and $100 membership fee. Option 2: $25 per month and $150 membership fee.

Michael is trying to determine which tennis club to join. If Michael chooses option 2, for which month will his total cost for option 2 be less than his total cost for option 1? A) month 8 B) month 9 C) month 10 D) month 11

Answers

Let us say that m is the number of months. So that the equations for option 1 (O1) and option 2 (O2) are:

O1 = 30 m + 100

O2 = 25 m + 150

TO determine this, we equate O1 and O2 so that:

30 m + 100 = 25 m + 150

5 m = 50

m = 10

So at the 10th month, the cost for both options are equal. So we select month 11.

Answer:

D) month 11

URGENT NEEDS TO ME SUBMITTED BY MIDNIGHT!! The ratio of girls to boys in Mr. Hansen’s class is 4:5. The ratio of girls to boys in Ms. Luna’s class is 8:10. Which equation correctly compares these ratios?

Answers

If the ratio of girls to boys in Mr. Hansen's class is 4:5, and the ratio of girls to boys in Ms. Luna's class is 8:10, then the equation that correctly compares the ratio of both Mr. Hansen's class and Ms. Luna's class are 4/5 = 8/10.

4:5 ≡ 8: 10 is the correct way to compares these ratios.

What are equivalent?

" Equivalent means when two or more things have same value but different expression."

According to the question,

Ratio of girls to boys in Mr. Hansen's class = 4 : 5

Ratio of girls to boys in Ms. Luna's class = 8 : 10

Compare both the ratio's we get,

[tex]\frac{8}{10} =\frac{2}{2} * \frac{4}{5}[/tex]

Therefore,

4 : 5 ≡ 8 : 10

Hence, 4:5 ≡ 8: 10 is the correct way to compares these ratios.

Learn more about equivalent here

https://brainly.com/question/14672772

#SPJ2

I need help with a math question on my quick check. 0.24 x 13 A. 3.12 B. 4.62 C. 4.12 D. 3.10

Answers

This problem is simply a multiplication problem. All we have to do in this case is to multiply 0.24 by 13, or the other way around multiply 13 by 0.24. We can do this in the calculator which gives us:

13 x 0.24 = 3.12

Answer:

A. 3.12

Other Questions

Concepts like noble and beggar are not connected with wealth or poverty, but rather with qualities of the inner person. true a gallon of chocolate milk sells for $3.14. a snack-size bottle of chocolate milk sells for 3 cents per ounce. which is a better buy? clarice drove the same distance on each of 4 days. Then on the fifth day she 48 miles more for a total of 828 miles. How many miles did she drive on each of first 4 days? help!Which constitutional power was inspired by the passage below?the passage below is from a historical document."He has kept among us, in times of peace, standing armies without the consent of our legislatures."(Source: U.S. National Archives and Records Administration)A: The President has the power to make treaties with the advice and consent of the Senate.B: Congress has the power to declare war and to raise and support armies.C: The government can house soldiers during times of war and peace.D: The President has the sole power to declare war. Find x if et = 3x+2 and em = 5x What is the solution to the system of equations below? 2x - 5y = 11 and -2x + 3y = -9 A Portuguese man-of-war is an example of ____.A. an anthozoan.B. a sea anemone.C. a hydrozoan colony.D. a large scyphozoan I really need help!!TJ, Max, and Misha are all the same age. The sum of their ages is s years. How old was TJ eight years ago?Thanks! An object's position is given by x(t) = 5 + 10 t 2. what is its acceleration after 5 s If you observed pathological lung sections, record your observations. also record how the tissue differed from normal lung tissue. complete the table below using your answers. The youthful, beardless jesus, depicted in the catacomb of commodilla, holds a book to emphasize his role as Simplest form 1/8 x 20= The relatively faster growth rate of non-european groups is due to a higher birthrate among some of these groups and to greater immigration. a. True b. False What is the domain and range of f(x) = |x + 6|?domain: (negative infinite,infinite); range: f(x) (greater than or equal to) 0domain: x (less then or equal to)-6; range: (negative infinite,infinite)domain: x(greater than or equal to)-6 ; range: (negative infinite,infinite)domain:(negative infinite,infinite) ; range: f(x) (less than or equal to) 0 How did Stalin use propaganda to control the Soviet Union? How did the experiences of the colonies shape Americas political and social ideals The temperature of a sample of water is changed from 10C to 30C. The same change in Kelvin would be A)20 B)100 C)273 D)303 Which three statements would produce the truth value F when p is true and q is false?A. p -> qB. ~p/\~qC. p->~qD. q\/~pC. p/\~qplease help Giorgio memorizes the german poem "the erlking" to recite in his eighth grade german class. he remembers it well for weeks after the presentation, but gradually his ability to recite the poem fades. this is an example of ________, one of the seven sins of memory. The new science of psychology's battle for scientific respectability was partially undermined by a famous psychologist who showed a strong interest in the pseudosciences. who was he? Steam Workshop Downloader