The correct magnitude of the vector times the appropriate unit vector of given vectors are given as follows:
a. <0.708, 0, -0.708> [tex]*4.66*10^{-3}[/tex]
b. <0, -1, 0>*676
c. [tex]\overrightarrow{C} = <0.707, 0, -0.707>*4.47*10^2[/tex]
The general vector can be represented as:
[tex]\underset{A}{\rightarrow}[/tex] = (a, b, c) ......1
the magnitude [tex]| \right\underset{A}{\rightarrow} |[/tex] can be obtained as :
[tex]| \right\underset{A}{\rightarrow} | = \sqrt{a^{2}+ b^{2} +c^{2} }[/tex] .....2
and unit vector would be:
[tex]\hat{u}_A=\dfrac{\overrightarrow{A}}{|\overrightarrow{A}|}[/tex].......3
Solution:
a) ( 0.00330, 0, -0.00330)
here,
[tex]\underset{A}{\rightarrow} = ( 0.00330, 0, -0.00330)[/tex]
applying this magnitude to equation two:
[tex]| \right\underset{A}{\rightarrow} | = \sqrt{0.00330^{2}+ 0^{2} +(-0.00330)^{2} }[/tex] = [tex]4.66*10^{-3}[/tex]
the unit vector would be:
[tex]\hat{u}_A=\dfrac{\overrightarrow{A}}{|\overrightarrow{A}|}[/tex]
[tex]\hat{u}_A= < \frac{0.00330}{4.66*10^{-3}}, \frac{0}{4.66*10^{-3}}, \frac{-0.00330}{4.66*10^{-3}}>[/tex]
[tex]\hat{u}_A= <708, 0, -708>[/tex]
Thus, the vector [tex]{\overrightarrow{A}[/tex] would be - <0.708, 0, -0.708> [tex]*4.66*10^{-3}[/tex]
B) (0, -676, 0)
Solving simailarly like A),
Vector [tex]| \right\underset{B}{\rightarrow} | = \sqrt{0^{2}+ -676^{2} +0^{2} }[/tex] = 676
the unit vector would be:
[tex]\hat{u}_B=\dfrac{\overrightarrow{B}}{|\overrightarrow{B}|}\\\hat{u}_B= < \frac{0}{676}, \frac{-676}{676}, \frac{0}{676}>[/tex]
Thus, the vector [tex]\overrightarrow{B}[/tex] = <0, -1, 0>*676
C) (0.00316, 0, -0.00316)
Attempting the third vector similarly we will get magnitude:
[tex]| \right\underset{C}{\rightarrow} | = \sqrt{0.00316^{2}+ 0^{2} +(-0.00316)^{2} }[/tex] = [tex]*4.47*10^{-3}[/tex]
Then,
[tex]\hat{u}_C=\dfrac{\overrightarrow{C}}{|\overrightarrow{C}|}\\\hat{u}_C= < \frac{0.00316}{4.47*10^2}, \frac{0}{4.47*10^2}, \frac{0.00316}{4.47*10^2}>[/tex]
The vector [tex]\overrightarrow{C} = <0.707, 0, -0.707>*4.47*10^2[/tex]
Learn more about vector unit:
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I need help! Really bad a math.
Answer:
12
Step-by-step explanation:
Substitute -18 into the equation
h(-18) = 15 +(-18)/6
h(-18)= 15 + (-2)
h(-18)= 15-2
h(18)=12
12 is the final answer
[tex]\\ \sf\longmapsto h(-18)[/tex]
[tex]\\ \sf\longmapsto 15+\dfrac{-18}{6}[/tex]
[tex]\\ \sf\longmapsto 15+(-3)[/tex]
[tex]\\ \sf\longmapsto 15-3[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
(30 points) help me thanks
Answer: Choice B
Shelly has 7/8 cup of lemonade. She pours 1/4 cup of lemonade in each glass. How many glasses can Shelly fill?
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Explanation:
We can think of a similar problem involving [tex]8 \div 4[/tex] which could answer the question "if she has 8 cups and pours 4 cups per glass, then how many glasses can she fill?" (that answer being 2 glasses).
Then we replace the 8 with 7/8, and we also replace the 4 with 1/4. It's the same idea but now things have gotten a bit more complicated since we're dividing two fractions.
What is 6/2? I don't know what / symbol means
Answer:
3
Step-by-step explanation:
The "/" symbol means divided by
6 divided into two groups makes 3 in each of those two groups.
6/2 => 6 ÷ 2 = 3
,,/'' means division line
PLZZZ HELP
What pattern can you see in the graph of y = 10x for x ≥ 0?
Graphs are used to show the relationship between two variables. In the given graph, as the value of x increases, the value of y decreases.
Given that:
[tex]y = \frac{10}{x}[/tex]
The above function is an inverse function.
This means that:
As the value of x increases, the value of y decreases
Take for instance:
[tex]x= 1[/tex]
[tex]y = \frac{10}{1} = 10[/tex]
Now, [tex]x = 2[/tex]
[tex]y = \frac{10}{2} = 5[/tex]
Notice that:
As x increases from 1 to 2, the corresponding values of y decreases from 10 to 5
Hence, (b) is correct
Read more about graphs at:
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2m(xy-3p)
Please solve
Answer:
2mxy - 6mp
Step-by-step explanation:
2m(xy - 3p)
2m × xy - 2m × 3p
2mxy - 6mp
give brainliest please I need it to level up
How do you get 6.80 from 2.25 ×2.80
Answer:
answer is 6.3
Step-by-step explanation:
there is no way to get 6.80 from 2.25*2.80 because its answer is 6.3
Write an equation in Point-Slope Form with a slope of 23and passes through the point (−4,3).
Answer:
y = 23x + 95
Step-by-step explanation:
y = mx + b, where m is the slope and b is the y-intercept
The equation of line with a slope of m = 23
y = 23m + b
Since the point (-4,3) is on the line, it will satisfy the equation.
3 = 23(-4) + b
b = 3 - 23(-4)
b = 95
y = 23x + 95
51 and 53 HELP PLS!!!!!!!
Evaluate
7w-9p when w=7 and p= -7
Answer:
Your answer is 112
Step-by-step explanation:
7×7-9×-7
49-(-63)
112
Answer:
112
Step-by-step explanation:
7w-9p
Substituting value of w and p in the equation,
=> 7(7) - 9(-7)
=> 49 - (-63)
=> 49 + 63
=> 112
Can someone help me understand number 5 plz!!!!
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Explanation:
The picture is shown below of what's going on.
The location of point C isn't really important. What is important is the idea that if BC = 3x-8, then AB is also this length as well. The midpoint B cuts segment AC into two equal pieces AB and BC. So that's why AB = BC.
Let's find the distance from A to B
We'll use the aptly named distance formula to get this done (the pythagorean theorem is an alternative route you can take)
[tex]A = (x_1,y_1) = (8,0)\\\\B = (x_2,y_2) = (0,6)\\\\d = \text{distance from A to B} = \text{length of segment AB}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(8-0)^2 + (0-6)^2}\\\\d = \sqrt{(8)^2 + (-6)^2}\\\\d = \sqrt{64 + 36}\\\\d = \sqrt{100}\\\\d = 10\\\\[/tex]
Therefore, segment AB is 10 units long. Segment BC is also 10 units long.
From here, we can say this:
BC = 3x-8
3x-8 = BC
3x-8 = 10
3x = 10+8
3x = 18
x = 18/3
x = 6 which is the final answer
Throughout this whole process, we never needed to know the location of point C. However, if you're curious about how to find it, then you basically would apply the midpoint formula in reverse.
Find the slope and y-intercept of the line.
- 8x + 1 =y
Find the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Simplify your answer. Type an integer or a fraction.)
OB. The slope of the line is undefined.
(Answer quickly)
Answer:
m=-8
Step-by-step explanation:
What is the range of the graph.
Answer: [3, 5]
Step-by-step explanation:
The range is the set of y-values.
d=2r
solve for r
This is literal equations pls help!!!!
Answer:
r = d/2
Step-by-step explanation:
d=2r
2r = d
r = d/2
Answer: r=d/2
Step-by-step explanation: divided by 2 on both sides and you get r by its self and d/2
What is the value of 2x^2+5y-8 when x=2 and y=4
Answer:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Step-by-step explanation:
Please help
If f(x) = (x – 2], then find
f(-3).
Answer:
f(-3) is 5
Step-by-step explanation:
[tex]f(x) = |x - 2| [/tex]
when x is -3, f(x) is f(-3) :
[tex]f( - 3) = | - 3 - 2| \\ \\ = | - 5| \\ \\ f( - 3) = 5[/tex]
find the value of
a. -8/0
b. 3x0
c. 4/0
Answer:
a. Negative eight cannot be divided by zero.
b. Zero
c. Four cannot be divided by zero.
The file P02_41.xlsx contains the cumulative number of bits (in trillions) of DRAM (a type of computer memory) produced and the price per bit (in thousandths of a cent).1. Fit a power curve that can be used to show how price per bit drops with increased production. This relationship is known as the learning curve.2. Suppose the cumulative number of bits doubles. Create a prediction for the price per bit. Does the change in the price per bit depend on the current price? Why?
Answer:
its b: the cost per pint of 3 pints of blueberries if the total cost was 6$
Step-by-step explanation:
plz help been stuck for awhile
The length of a football field should be measured in
The length of a football field should be measured in yards
Hi! I'm happy to help!
We know that a football field is separated into 100 (numbers marked on the field.) A football field is also 100 yards, so it would be reasonable to measure it in yards.
I hope this was helpful, keep learning! :D
Can someone please help me please?
Explanation:
For now, let's ignore the blue curve.
If we kept the red curve completely fixed in place, and only moved the xy axis, then we can move the xy axis 5 units to the right to give the illusion the red curve is moving (even though it's fixed in place).
Moving the xy axis 5 units to the right means each x input is 5 units larger. So x jumps up to x+5
In other words, going from f(x) to f(x+5) will shift the f(x) curve 5 units to the left. So that's why we go from x^2 to (x+5)^2 which is what choice D shows.
Round the number to the given degree of accuracy.
3.478 nearest unit
9514 1404 393
Answer:
3
Step-by-step explanation:
The digit to the right of the units digit is the tenths digit. It is 4. Because it is not 5 or greater, that digit and all to its right are simply dropped. The rounded value of 3.478 is 3.
5x-y=12 ............................
5x−y=12 Subtract 5x from both sides of the equation.
− y = 12 − 5 x Divide each term in
− y = 12 − 5 x by - 1 and simplify
y = - 12 + 5 x
i don't know if thats what your answer was but there you go
Solve the equation
9(n +5) = 3(15 + 3n)
..
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers,
O C. There is no solution.
(Answer quickly)
Answer:
B... all real numbers :)
m angle 4x+3, m angle=7x, m angle=16x-1
Answer:
Step-by-step explanation:
I guess that all these three angles are the angles on a triangle.
Hence the total measurement is 180. Therefore
(4x+3) + 7x + 16x -1 = 180
27x + 2 = 180
27 x = 178
x = 178/27
Just do 11 or 12 or both please im really tired and it 1:34 in the morning plz help
Answer:
11)(-1)
12)1.7
Step-by-step explanation:
11)y+z/x
(-3)+(-2)/5
(-5)/5
(-1)
12)x-5z/y
5+5(-2)/(-3)
5+(-10)/(-3)
(-5)/(-3)
1.666
1.7
Hope this helps you
If you have any question just ask me
A 4" by 6" by 8" rectangular solid is cut by slicing through the midpoint of three adjacent edges. What is the number of inches in the sum of the lengths of the edges of the tetrahedron that is cut?
Answer:
22.078
Step-by-step explanation:
I have attached the images above
The density of oxygen is 0.001429 grams per cubic centimeters. How is the number written in scientific notation?
Answer: 1.429x10-3(the -3) is the exponent
Hope this helped !
Given these angles: m∠3 = 82°, m∠4 = 98°.
These angles are
a. complementary
b. supplementary
c. neither complementary nor supplementary
Determine the slope intercept form of the linear equation x/2-y+6=0
Answer:
General equation of a line:
[tex]y = mx + b[/tex]
then express in that form:
[tex] \frac{x}{2} - y + 6 = 0 \\ \\ - y = - \frac{x}{2} - 6 \\ \\ { \boxed{ \boxed{y = \frac{1}{2} x + 6}}}[/tex]
3) T'challa makes $55 an hour and works 30 hours a week. He loses 20% of his paycheck to
taxes and SSI. How much does he make each week?
(explain answer)
Answer:
$1,320
Step-by-step explanation:
~Multiply to find how much money he made that week
55 * 30 = $1,650
~Multiply by 20% then subtract
1,650 * 0.2 = 330
1.650 - 330 = 1,320
Best of Luck!
Answer:
$1320
Step-by-step explanation:
Without taxes and SSI, T'challa would make 55x30 = $1650.
20 % of 1650 is equivalent to 1/5 x 1650.
1/5 x 1650 = 1650/5 = 330
Therefore he makes 1650 - 330 = $1320
