u. The distance we travel in the direction of v, while traversing u is called the component of u with respect to v and is denoted compvu. The vector parallel to v, with magnitude compvu, in the direction of v is called the projection of u onto v and is denoted projvu.
Answer:
[tex]comp_vu=\sqrt{2}[/tex]
Step-by-step explanation:
The component of vector u along v is [tex]comp_vu=\frac{u\bullet v}{||v||}[/tex] where [tex]u\bullet v[/tex] is the dot product and [tex]||v||[/tex] is the magnitude of vector v.
The dot product is [tex]u\bullet v=u_1v_1+u_2v_2=(-4)(1\sqrt{2})+(6)(1\sqrt{2})=2\sqrt{2}[/tex]
The magnitude of vector v is [tex]||v||=\sqrt{v_1^2+v_2^2}=\sqrt{(1\sqrt{2})^2+(1\sqrt{2})^2}=\sqrt{2+2}=\sqrt{4}=2[/tex]
Therefore, the component of vector u along v is [tex]comp_vu=\frac{u\bullet v}{||v||}=\frac{2\sqrt{2}}{2}=\sqrt{2}[/tex]
explain how knowing that the sine of an angle is approximately 0.2588 enables you to find two possible values for the cosine of the angle. Find these values, and tell what information would be necessary to decide which of the two possible values is the correct cosine of the angle.
The required value is the angle theta and the value of the cosine of the angle is 0.9659
Given the expression of sine of an angle expressed as;
[tex]sin\theta = 0.2588[/tex]
For us to get the cosine of the angle, we need to get the value of theta first as shown:
[tex]\theta = sin^{-1}0.2588\\\theta = 14.99^0[/tex]
Next is to get the value of cos theta
[tex]cos \theta = cos 14.99 =0.9659[/tex]
The required value is the angle theta and the value of the cosine of the angle is 0.9659
Learn more here: https://brainly.com/question/13729598
What is the constant of proportionality for this table?
Time (hr) 2 4 5 9
Pay ($) 16 32 40 72
Question 4 options:
1/8
16
8
2
I WILL MARK BRAINLIEST
Answer: the answer is 1/8
Step-by-step explanation: you divide 2 to 16 the you would get 0.125 and if you divide 4 to 32 its also 0.125 and if you make 0.125 a form of a fraction it is 1/8.
What is the value of x in the equation 19x-3
Answer:
the answer 19 ...........
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
Answer:
It's a terminating decimal.
Step-by-step explanation:
15 6/15 = 15 2/5 = 15 40/100 = 15.4
Since 15.4 is a terminating decimal, the answer is that it is a terminating decimal
Answer:
You have the right answer selected, a terminating decimal because it ends and isn't infinite.
6.
Which equation is represented by the graph?
A. y = 3x^2 − 2
B. y = −3x^2 + 2
C. y = 2x^2 − 3
D. y = 2x^2 − 2
Answer:
C. y = 2x^2 − 3
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: ( 0 , − 3 )
Focus: ( 0 , − 23 /8 )
Axis of Symmetry: x = 0
Directrix: y = − 25 /8
x y
− 2 5
− 1 − 1
0 − 3
1 − 1
2 5
Joe runs 4 miles in 30 minutes. At the same rate, how many minutes would he take to run 10 miles?
Answer:
It would take him 75 minutes or one hour and 15 minutes
Step-by-step explanation:
[] We can set up a ratio and then cross multiply to find our answer
-> Let x be the minutes it takes him to run 10 miles
[] First, we will set up an equation
-> Keeping in mind that miles must be either on the top or the bottom, same goes for minutes, as units must be kept consistent.
[tex]\frac{4miles}{30minutes} =\frac{10miles}{x}[/tex]
[] Then, we will cross multiply
4x = 300
-> Divide both sides of the equation by 4
x = 75 minutes
Have a nice day!
Note: I know this is a very late answer. I just answered this problem elsewhere, and your question popped up as recommended.
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
ILL MARK BRAINLIEST, PLEASE HELP ME
A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batched, but they always use the same ratio of honey to flour. If f is the cups of flour needed for h tablespoons of honey, write an equation that relates f and h. how much flour is needed for 15 tablespoons of honey? 17 tablespoons?
Answer:
Step-by-step explanation:
f/h = 10/8
f = 1.25h
f = 1.25(15)
f = 18.75 cups
f = 1.25(17)
f = 21.25 cups
f = 1.25(30)
f = 37.5 cups
f = 1.25(h)
flour (c)
25 1.25 haccording to the table
[tex]f \: \frac{5}{4} \: h \: = \: 1.25 \: h[/tex]
{positive correlation}
when h = 15 ,
[tex]f = \frac{5}{4} \: \times 15 = 18.75[/tex]
when h= 17 ,
[tex]f = \frac{5}{4} \times 17 = 21.25[/tex]
hope it helps!What expression can be used to add 1/2 plus 5/6?
Answer: 8/6 = 1 2/6
Step-by-step explanation:
1/2 = 3/6, so 3/6 + 5/6 = 8/6 = 1 2/6
[tex]\frac{5}{12} x 10[/tex]
Step-by-step explanation:
[tex] = \frac{5}{12} \times 10[/tex]
[tex] = \frac{5 \times 10}{12} [/tex]
[tex] = \frac{50}{12} [/tex]
[tex] = \frac{48}{12} + \frac{2}{12} [/tex]
[tex] = 4 + \frac{1}{6} [/tex]
[tex] = 4 \frac{1}{6} [/tex]
Answer:
[tex] \sf 4 \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \sf = \frac{5}{12} \times 10[/tex]
[tex] \sf = \frac{5}{12} \times \frac{10}{1} [/tex]
[tex] \sf = \frac{50}{12} [/tex]
[tex] \sf = 4 \frac{2}{12} [/tex]
[tex] \sf = 4 \frac{1}{6} [/tex]
NAME 7. A travel agent buys 15 train tickets that total $675 for a client. If each train ticket costs the same amount, how much does 1 train ticket cost, in dollars?
Answer:
$45
Step-by-step explanation:
If 15 tickets cost $675, then 1 costs $45.
$675 ÷ 15 = $45
which is correct? out of the answers?
Step-by-step explanation:
the answer is 1 5/6
yep I am sure
i need help on this cz i dont get it
Answer:
B. 39 °
Step-by-step explanation:
45 - 4 = 41
41 + 2 = 43
43 -7 = 36
36 - 1 = 35
35 + 3 = 38
38 + 1 = 39
So the answer is 39 ° F
Answer:
It would be 39
Step-by-step explanation:
So its was 45F at the start
then you go down the list
45-4=41
41+2=43
43-7=36
36-1=35
35+3=38
38+1=39
So at 2:00 PM the end temperature was 39 degrees
Hope that helped :D
Prove that the midpoints of the sides of an equilateral triangle are the vertices of another equilateral triangle.
Answer:
Finding the vertices of the triangle from midpoints short cut If (x 1, y 1) (x 2, y 2) and (x 3, y 3) are the mid-points of the sides of a triangle, we may use the vertices of the triangle by using the formula given below. A (x 1 + x 3 - x 2, y 1 + y 3 - y 2) B (x 1 + x 2 - x 3, y 1 + y 2 - y 3)
Step-by-step explanation:
What is the highest common factor for 16 and 64
Step-by-step explanation:
the highest common factor is 16
Answer:
16
Step-by-step explanation:
There are 5 common factors of 16 and 64, that are 1, 2, 4, 8, and 16. Therefore, the highest common factor of 16 and 64 is 16.
Find an equation for the line below. (-4,-2) (5,4)
Answer:
y = 2/3x + 2/3
point-slope form: y - 4 = 2/3x - 10/3
Step-by-step explanation:
1. Find the slope; (change in the y-values)/(change in the x-values)
slope (m) = [4 - (-2)] / [5 - (-4)]
m = 6/9 = 2/3
2. Find "b" by using the slope and one of the given points and substitute into
y = mx + b
4 = 2/3(5) + b
4 = 10/3 + b
4 - 10/3 = b
2/3 = b
y = 2/3x + 2/3
use the point slope form [tex]y _ -y_{1} = m(x-x_{1} )[/tex] y - 4 = 2/3(x - 5)
y - 4 = 2/3x - 10/3
Can anybody help with this?
Answer:
x=100
Step-by-step explanation:
the sum of all 3 angles in a triangle is always 180 so your problem is: 180 - 35 - 45
Answer:
the answer is 25
Step-by-step explanation:
Each time you are adding ten so 25+10=35
35+10=45.
Or you could just say 45-35=10
and 35-25=10
Mrs. Galicia sells online math and reading games. His revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.
Math Game: M(d)=2x^2+8x+2
Reading Game: R(d)=3x+5
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.
Graph this system to show the solutions. Label each axis appropriately.
Answer:
In the middle of a day
Step-by-step explanation:
1) Make it an actual equation
[tex]3x+5=2x^{2} +8x+2[/tex]
2) Cancel integers
[tex]3x + 3 = 2x^{2} + 8x[/tex]
3) Get rid of no exponent variables
[tex]0 = 2x^{2} + 5x - 3[/tex]
4) Factor :D
[tex](2x - 1)(x+3)[/tex]
5) Solve
2x - 1 = 0
x + 3 = 0
They will meet at -3 days (Which doesn't exist!!!) and 1/2 a day.
---------------------
I didn't use graphing, nor did I double check my work but I'm quite sure its correct, i'll edit this answer with a graph for brainliest tho :>
-----------------
Edit: Eh i'll add a graph cause i'm nice ;-;
Evaluate: (−1)(− 1)(− 1)(− 1) (− 1)
Answers:
A) −1
B) 0
C) 1
D) 2
Step-by-step explanation:
[tex](−1)(− 1)(− 1)(− 1) (− 1)[/tex]
use the rules for multiplication
[tex] - (1 \times 1 \times 1 \times 1 \times 1)[/tex]
then Calculate the products
= -1
hope it helps!Answer:
A
Step-by-step explanation:
An odd number of negative multipliers results in a negative answer so overall result will be negative.
- 1 × - 1 × - 1 × - 1 ×- 1
= 1 × - 1 × - 1 × - 1
= 1 × 1 × - 1
= 1 × - 1
= - 1 → A
In Year 11 at the school, the ratio of the number of pupils who study Chemistry to
the number of pupils who study Physics is 3:2
(b) 105 pupils in Year 11 study Chemistry.
Work out the number of pupils in Year 11 who study Physics.
Answer:
70
Step-by-step explanation:
Chem : Phy = 3: 2
Since we have 105 pupils studying Chem and let's say we have x students stuyding Phy.
We have :[tex]3:2=105:x[/tex]
[tex]3x=210[/tex]
x=70
Answer:
17.5
105÷3 is 35
37÷2 is 17.5
-45.6 divided (-1.2)
Answer:38
Step-by-step explanation:just cause its correct
Which equation is equivalent to 4^x+3 - 64?
2^x+6 = 2^4
22^x+6 = 2^6
42^x+6= 4^2
4^x+3 - 4^6
Answer:
c
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the rates with their equivalent unit rates.
Answer:
I have placed the correct answers in the image above
Answer:
Step-by-step explanation:
Divide the numbers with each other.
Pls help I’m bad at math
Answer:
I think it might be C. sorry if I'm wrong about it.
Write the equation of the line passing through the points (15, 2) and (-5, -2)
Please help missed this lesson
please help and show work will makr as brainliset
Step-by-step explanation:
[tex]5x + 2y = 8[/tex]
[tex]2y = - 5x + 8[/tex]
[tex]y = \frac{ - 5x}{2} + \frac{8}{2} [/tex]
[tex]y = \frac{ - 5x}{2} + 4[/tex]
Option → A
Write an explicit formula for An, the nth term of the sequence 6, 14, 22, ....
Answer:
An = 6 +8(n -1)
Step-by-step explanation:
The given terms have a first term of 6 and a common difference of 8, so the formula is ...
An = A1 +d(n -1)
An = 6 +8(n -1)
The sales tax rate is 3% if Leah buys a clarinet priced at$396 what will be the total cost including tax? Round to the nearest dollar
Answer:
$407.88 is the total for this
Reflect the point (-9, 0) across the x axis
Answer:
This point can't be reflected across the x axis.
Why not, though? It's because the way to reflect a point across the x axis is by making its y value negative. Because you can't make 0 negative, it just results in (-9, 0). In case you mistyped it to x when it was supposed to be y though, your answer would be (9, 0).
Question 3 of 10
The graphs below have the same shape. What is the equation of the blue
graph?
G(= ?
F(x) = x2
G(x) =
O A. G(X) = (x - 3)2
O B. G(X) = (x + 3)2
O C. G(x) = x2 + 3
O D. G(x) = x2-3
Answer:
B. g(x) = (x +3)^2
Step-by-step explanation:
The graph of g(x) = f(x -h) will be a graph of f(x) shifted right h units. Here, the graph g(x) is the graph of f(x) shifted left 3 units. That means h = -3, and ...
g(x) = f(x -(-3)) = f(x +3)
g(x) = (x +3)^2
_____
Additional comment
The vertex of g(x) is the point (-3, 0). You can use these (x, y) values in the offered choices, to see which equation will have that point on its graph.
A: (-3-3)^2 = 36 ≠ 0
B: (-3+3)^2 = 0 . . . . . . . the only viable candidate
C: (-3)^2 +3 = 12 ≠ 0
D: (-3)^2 -3 = 6 ≠ 0
