Questions on Algebra: Introduction to vectors, addition and scaling answered by real tutors!

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Question 155178This question is from textbook The Physical Universe
: Greetings, I am currently in Physical Science and right off the bat we started on vectors, motion, and Newtons Law. Anyway, I haven't been in a College atmosphere in quite a while. So I need some serious help!!! This will sound silly yet I for some reason can not get it. Here it is: Two cars leave a cross roads at the same time. One heads north at 50Km/h and the other heads east at 70Km/h. How far apart are the cars after 2 hours?This question is from textbook The Physical Universe
: Greetings, I am currently in Physical Science and right off the bat we started on vectors, motion, and Newtons Law. Anyway, I haven't been in a College atmosphere in quite a while. So I need some serious help!!! This will sound silly yet I for some reason can not get it. Here it is: Two cars leave a cross roads at the same time. One heads north at 50Km/h and the other heads east at 70Km/h. How far apart are the cars after 2 hours?
Click here to see answer by Earlsdon(3498)

Question 152748: Insert grouping symbols in each expression to make a true equation.
7-2x5-3+2=12: Insert grouping symbols in each expression to make a true equation.
7-2x5-3+2=12
Click here to see answer by jim_thompson5910(8286)

Question 149681: 1. Find the magnitude of the following vector: v = -2i - 4j.
2. Find the unit vector that has the same direction as the vector below: v = 4j
3. In what quadrant is the terminal point of the vector below located?
v = 5i - 3j
4.The vector, v, is multiplied by a scalar as shown below. v = -i + j -3(v)
: 1. Find the magnitude of the following vector: v = -2i - 4j.
2. Find the unit vector that has the same direction as the vector below: v = 4j
3. In what quadrant is the terminal point of the vector below located?
v = 5i - 3j
4.The vector, v, is multiplied by a scalar as shown below. v = -i + j -3(v)

Click here to see answer by Fombitz(1270)

Question 147530: The cost C (in dollars) for a company to make x dozen units of a certain product is given by C = 0.1x^2 + 0.6x + 10. How many units can be made for $60?: The cost C (in dollars) for a company to make x dozen units of a certain product is given by C = 0.1x^2 + 0.6x + 10. How many units can be made for $60?
Click here to see answer by stanbon(17981)

Question 146488: A ball is thrown vertically upward from the ground with an initial speed of 80 ft/sec. Its height is given by h=80t-16t^2. How high does the ball go? When does the ball hit the ground?: A ball is thrown vertically upward from the ground with an initial speed of 80 ft/sec. Its height is given by h=80t-16t^2. How high does the ball go? When does the ball hit the ground?
Click here to see answer by stanbon(17981)

Question 146491: Determine the quadratic equation with integral coefficients having the roots:
-3 and 1: Determine the quadratic equation with integral coefficients having the roots:
-3 and 1
Click here to see answer by checkley77(1705)

Question 145667: I own a very beautiful, and somewhat massive, boat. Each year, in the fall, I drag it totally out of the water with my tractor--the tension in the drag line is 5000 lbs. This year, my tractor died, and I must get the boat out by myself. All I have is lots of high tension cable (that doesn't stretch at all!!). Can I do it by myself? There are lots of massive trees all over the place. I'm fairly strong for an old guy--can manage a tension of about 300 lbs.: I own a very beautiful, and somewhat massive, boat. Each year, in the fall, I drag it totally out of the water with my tractor--the tension in the drag line is 5000 lbs. This year, my tractor died, and I must get the boat out by myself. All I have is lots of high tension cable (that doesn't stretch at all!!). Can I do it by myself? There are lots of massive trees all over the place. I'm fairly strong for an old guy--can manage a tension of about 300 lbs.
Click here to see answer by Fombitz(1270)

Question 144523: what the graph for 1/2(p+2)greater then or equal to 3/4(P-2): what the graph for 1/2(p+2)greater then or equal to 3/4(P-2)
Click here to see answer by shahid(44)

Question 143012: PLEASE HELP The rectangular form for the posar equation r = -2csc(0 with a line through it) is
a. y = x-2
b. y = 2
c. y = 2x
d. y = -2
thank you : PLEASE HELP The rectangular form for the posar equation r = -2csc(0 with a line through it) is
a. y = x-2
b. y = 2
c. y = 2x
d. y = -2
thank you
Click here to see answer by stanbon(17981)

Question 72029: What are the four properties of equality: What are the four properties of equality
Click here to see answer by vleith(963)

Question 143007: Can someone please help me?
the magnitude of the vector -3i-5j is
a. -4
b. 4
c. sqrt 26
d. sqrt 34 : Can someone please help me?
the magnitude of the vector -3i-5j is
a. -4
b. 4
c. sqrt 26
d. sqrt 34
Click here to see answer by vleith(963)

Question 142546: HELP!!!!!!!

If vector u = (5, 3) and vector v = (-1, 4), what is the component form of vector u + v?: HELP!!!!!!!

If vector u = (5, 3) and vector v = (-1, 4), what is the component form of vector u + v?
Click here to see answer by jim_thompson5910(8286)

Question 139817: when we use tan ,sin, cos in right angle triangle and how we found the direction and the bearing.: when we use tan ,sin, cos in right angle triangle and how we found the direction and the bearing.
Click here to see answer by checkley77(1705)

Question 125572: a sign weighing 100lbs is connected in ceiling by cables having 43 degree and 62 degree with the ceiling. how can i find the tensions between the cables?: a sign weighing 100lbs is connected in ceiling by cables having 43 degree and 62 degree with the ceiling. how can i find the tensions between the cables?
Click here to see answer by scott8148(2482)

Question 123129: If Earthquake 1 measures 6.2 on the Richter scale, and Earthquake 2 measures 8.2 on the Richter scale, how many times bigger was Earthquake 2 than Earthquake 1? (Rephrased: By what factor was Earthquake 2 bigger than Earthquake 1?): If Earthquake 1 measures 6.2 on the Richter scale, and Earthquake 2 measures 8.2 on the Richter scale, how many times bigger was Earthquake 2 than Earthquake 1? (Rephrased: By what factor was Earthquake 2 bigger than Earthquake 1?)
Click here to see answer by Fombitz(1270)

Question 107432This question is from textbook Algebra 3
: I tried to solve this and I have had problems.
I have got 3 equations so far. There is one more needed.
f >=0
r >=0
f>2r
A toy manufacturer is introducing two new dolls, My First Baby and My Real Baby. In one hour, the company produces at least twice as many First Babies as Real Babies. The company spends no more than 48 hours a week making these dolls. The profit on each First Baby is $3.00 and the profit on each Real Baby is $7.50. Find the number an type of dolls that should be produced to maximize profit.
I can do the last part of finding the maximum profit but I need a 4th equation which I have problems translating from text. If you could help my thanks go to you. I appreciate your effort even if you do not answer this question.This question is from textbook Algebra 3
: I tried to solve this and I have had problems.
I have got 3 equations so far. There is one more needed.
f >=0
r >=0
f>2r
A toy manufacturer is introducing two new dolls, My First Baby and My Real Baby. In one hour, the company produces at least twice as many First Babies as Real Babies. The company spends no more than 48 hours a week making these dolls. The profit on each First Baby is $3.00 and the profit on each Real Baby is $7.50. Find the number an type of dolls that should be produced to maximize profit.
I can do the last part of finding the maximum profit but I need a 4th equation which I have problems translating from text. If you could help my thanks go to you. I appreciate your effort even if you do not answer this question.
Click here to see answer by stanbon(17981)

Question 117933:
If 3x^2-2x+7=0 then (x-1/3)^2=:
If 3x^2-2x+7=0 then (x-1/3)^2=
Click here to see answer by checkley71(8405)

Question 107897This question is from textbook Mechanics I
: I could do 4a. But not 4b, its hard! :o
Question 4.
A girl throws a ball vertically upwards with speed 8ms-1 from a window which is 6m above horizontal ground.
(a) find the greatest height above the ground reached by the ball. - completed, i got 9.3 metres which was correct.
1.5 seconds later she drops a second ball from rest out of the same window.
(b) Find the distance below the window of the point where the balls meet.
I cant do (b) can any one help? Thanks alot in advance! :DThis question is from textbook Mechanics I
: I could do 4a. But not 4b, its hard! :o
Question 4.
A girl throws a ball vertically upwards with speed 8ms-1 from a window which is 6m above horizontal ground.
(a) find the greatest height above the ground reached by the ball. - completed, i got 9.3 metres which was correct.
1.5 seconds later she drops a second ball from rest out of the same window.
(b) Find the distance below the window of the point where the balls meet.
I cant do (b) can any one help? Thanks alot in advance! :D
Click here to see answer by scott8148(2482)

Question 107896This question is from textbook Mechanics I
: Hey again! This is also impossible, i can do question 3 but not 2! :D
A racing car is moving with constant acceleration along a straight stretch of road. The car passes point A at 0s, travelling at 18ms - 1, point B at 3s and point C at 7s, travelling at 53ms - 1. Calculate:
A - acceleration of the car
B - Speed of the car at B
C - the distance from B to C.
I've tried all three parts and failed miserably as i have the answers in the back of the book, i have no clue! :( Thanks alot in advance! :DThis question is from textbook Mechanics I
: Hey again! This is also impossible, i can do question 3 but not 2! :D
A racing car is moving with constant acceleration along a straight stretch of road. The car passes point A at 0s, travelling at 18ms - 1, point B at 3s and point C at 7s, travelling at 53ms - 1. Calculate:
A - acceleration of the car
B - Speed of the car at B
C - the distance from B to C.
I've tried all three parts and failed miserably as i have the answers in the back of the book, i have no clue! :( Thanks alot in advance! :D
Click here to see answer by scott8148(2482)

Question 107895This question is from textbook Mechanics I
: Its the kinematic section in the mechanics book. I dont understand how to do question 1a, i can do 1b :D
It is.
A ball is thrown vertically upwards with a speed of 10ms-1 from a point 2m above the ground. (a) Calculate the length of time for which the ball is 3m or more above the ground.
I have no idea how to deal with this type of question where it starts above the ground, and we have to find how long it is above a certain point, if some one could help it would be greatly appreicated! Thanks! :D This question is from textbook Mechanics I
: Its the kinematic section in the mechanics book. I dont understand how to do question 1a, i can do 1b :D
It is.
A ball is thrown vertically upwards with a speed of 10ms-1 from a point 2m above the ground. (a) Calculate the length of time for which the ball is 3m or more above the ground.
I have no idea how to deal with this type of question where it starts above the ground, and we have to find how long it is above a certain point, if some one could help it would be greatly appreicated! Thanks! :D
Click here to see answer by scott8148(2482)

Question 106352: what is y=4x-3
: what is y=4x-3

Click here to see answer by elima(1326)

Question 106434This question is from textbook Mechanics I
: Hey again! :D
A particle has position 2i + j initially and is moving with speed 10ms-1 in the direction 3i - 4j. Find it's position vector when t = 3 and the distance it has travelled in those 3 seconds.
I know the distance travelled is Speed * time, so 10 * 3 = 30metres.
I have already posted this topic, because the people gave the correct answers, ( thanks alot to you all for helping! :P )
but i still dont understand how you got them, i thought, if in 1 second, you do 3i - 4j
then in 3 seconds you do, 9i - 12j, add on the original, so 11i - 11j,
i have no idea how you got to 20i and 23j, i can see with 3i-4j, if you multiply everythign by 6, you get a figure that once added to the original 2i + j, gives the answer, but again why 6? :( Thanks again in advancedThis question is from textbook Mechanics I
: Hey again! :D
A particle has position 2i + j initially and is moving with speed 10ms-1 in the direction 3i - 4j. Find it's position vector when t = 3 and the distance it has travelled in those 3 seconds.
I know the distance travelled is Speed * time, so 10 * 3 = 30metres.
I have already posted this topic, because the people gave the correct answers, ( thanks alot to you all for helping! :P )
but i still dont understand how you got them, i thought, if in 1 second, you do 3i - 4j
then in 3 seconds you do, 9i - 12j, add on the original, so 11i - 11j,
i have no idea how you got to 20i and 23j, i can see with 3i-4j, if you multiply everythign by 6, you get a figure that once added to the original 2i + j, gives the answer, but again why 6? :( Thanks again in advanced
Click here to see answer by scott8148(2482)

Question 106431This question is from textbook Mechanics I
: Hey again! :D Im stuck on this question about vectors including acceleration and relative positioning.
The question is..
A particle has position 2i + j initially and is moving with speed 10ms-1 in the direction 3i - 4j. Find it's position vector when t = 3 and the distance it has travelled in those 3 seconds.
I know the distance travelled is Speed * time, so 10 * 3 = 30metres. But when i worked out the relative position i got it totally wrong, does anyone know how to do this? Thanks alot in advance! :DThis question is from textbook Mechanics I
: Hey again! :D Im stuck on this question about vectors including acceleration and relative positioning.
The question is..
A particle has position 2i + j initially and is moving with speed 10ms-1 in the direction 3i - 4j. Find it's position vector when t = 3 and the distance it has travelled in those 3 seconds.
I know the distance travelled is Speed * time, so 10 * 3 = 30metres. But when i worked out the relative position i got it totally wrong, does anyone know how to do this? Thanks alot in advance! :D
Click here to see answer by MathLover1(1132)

Question 101988: How do you figure out this Factor:
5x^2 + 5x – 30: How do you figure out this Factor:
5x^2 + 5x – 30
Click here to see answer by mathemanic(13)

Question 98830This question is from textbook pre-algebra

: what does it mean when it says describe a quantity each integer could represent?
for example -126.This question is from textbook pre-algebra

: what does it mean when it says describe a quantity each integer could represent?
for example -126.
Click here to see answer by stanbon(17981)

Question 98494: The question is
Show that there are no vectors u and v such that the magnitude of u=1, the magbnitude of v=2, and the (dot product) u*v=3.
Hope this makes sense. It is easier to understand with the symbols that they use.
I wasn't even sure how to start this problem. All I could get was 1*2 which doesn't =3 but that seems too easy. : The question is
Show that there are no vectors u and v such that the magnitude of u=1, the magbnitude of v=2, and the (dot product) u*v=3.
Hope this makes sense. It is easier to understand with the symbols that they use.
I wasn't even sure how to start this problem. All I could get was 1*2 which doesn't =3 but that seems too easy.
Click here to see answer by jim_thompson5910(8286)

Question 96832: Hallo,
my question is, when we add two or more vectors algebraically in two dimension, how can we find the direction of the resultant vector.
Thanks, Hamad: Hallo,
my question is, when we add two or more vectors algebraically in two dimension, how can we find the direction of the resultant vector.
Thanks, Hamad
Click here to see answer by stanbon(17981)

Question 91857: a mine shaft goes straight down for 110m. from its lower end a horizontal tunnel goes 35m east and then 70m south to its end.what is the displacement from the top of the shaft to the end of the tunnel?what angle does this displacement make with respect to the vertical line?: a mine shaft goes straight down for 110m. from its lower end a horizontal tunnel goes 35m east and then 70m south to its end.what is the displacement from the top of the shaft to the end of the tunnel?what angle does this displacement make with respect to the vertical line?
Click here to see answer by ankor@dixie-net.com(3941)

Question 90000: What is the x-intercept of the line with the equation 4x+2y=12?: What is the x-intercept of the line with the equation 4x+2y=12?
Click here to see answer by Earlsdon(3498)

Question 89040: Can someone tell me if this is correct, and also I need to round it to the nearest tenth but I don't know how.......A plane with an airspeed of 450 mph if flying in the direction N35degrees West....im supposed to express the vector in terms of i&j......
my answer is -450sin35i + 450cos35j: Can someone tell me if this is correct, and also I need to round it to the nearest tenth but I don't know how.......A plane with an airspeed of 450 mph if flying in the direction N35degrees West....im supposed to express the vector in terms of i&j......
my answer is -450sin35i + 450cos35j
Click here to see answer by stanbon(17981)

Question 88415: A football quarterback throws the football with a speed of 48 feet per second at an angle of 45 degrees upward from the ground. The vector that describes the motion of the football is what?: A football quarterback throws the football with a speed of 48 feet per second at an angle of 45 degrees upward from the ground. The vector that describes the motion of the football is what?
Click here to see answer by stanbon(17981)

Question 88414: perform the following operation: v-w=?
where v=8i-6j and w=-2i+4j: perform the following operation: v-w=?
where v=8i-6j and w=-2i+4j
Click here to see answer by jim_thompson5910(8286)

Question 88188: A vector has the following initial and terminal points respectively:
initial point (-1,2)
terminal point (4,6)
What is the position vector?: A vector has the following initial and terminal points respectively:
initial point (-1,2)
terminal point (4,6)
What is the position vector?
Click here to see answer by jim_thompson5910(8286)

Question 88187: Find the magnitude of the following vector: v=4i-2j: Find the magnitude of the following vector: v=4i-2j
Click here to see answer by jim_thompson5910(8286)

Question 88187: Find the magnitude of the following vector: v=4i-2j: Find the magnitude of the following vector: v=4i-2j
Click here to see answer by stanbon(17981)

Question 88186: Find the unit vector that has the same direction as the vector v=-5j
is it -j?: Find the unit vector that has the same direction as the vector v=-5j
is it -j?
Click here to see answer by stanbon(17981)

Question 88101: perform the following operation for the given equation:
5(v) for v=-3i+2j: perform the following operation for the given equation:
5(v) for v=-3i+2j
Click here to see answer by jim_thompson5910(8286)

Question 88100: Find the dot product of vector v and vector w if:
v=-5i+6j and w=-2i-3j+
is it -8?: Find the dot product of vector v and vector w if:
v=-5i+6j and w=-2i-3j+
is it -8?
Click here to see answer by longjonsilver(2297)

Question 88102: find the magnitude of the following vector:
v=3i-2j: find the magnitude of the following vector:
v=3i-2j
Click here to see answer by jim_thompson5910(8286)

Question 86859This question is from textbook Algebra 1
: 3x+2y-4=2(5-y)This question is from textbook Algebra 1
: 3x+2y-4=2(5-y)
Click here to see answer by tutorcecilia(1991)

Question 83318: Question – 5: Consider the vectors,a=12i + 2j, b= -2i + 3j, and c = a-b
(a) Find the magnitude, and the direction of the vectors a,b and c.

(b) Find the value of the angle between a and b .

(c) Find the area of the triangle whose vertices are the end points of the vectors, a , b , and c .
: Question – 5: Consider the vectors,a=12i + 2j, b= -2i + 3j, and c = a-b
(a) Find the magnitude, and the direction of the vectors a,b and c.

(b) Find the value of the angle between a and b .

(c) Find the area of the triangle whose vertices are the end points of the vectors, a , b , and c .

Click here to see answer by stanbon(17981)

Question 83099: A helicopter is taking off vertically when a crate slips out of the cargo door. At that instant, the helicopter is moving upward at 15 m/s and is 50 m above the ground. What is the maximum height the crate will reach above the ground?
After falling from the helicopter, how long will the crate be in the air?
Please show work.: A helicopter is taking off vertically when a crate slips out of the cargo door. At that instant, the helicopter is moving upward at 15 m/s and is 50 m above the ground. What is the maximum height the crate will reach above the ground?
After falling from the helicopter, how long will the crate be in the air?
Please show work.
Click here to see answer by ankor@dixie-net.com(3941)