x x y = (13 i + 4 j - 9 k) x (- i + 7 j - 4 k)
Distribute the cross product:
x x y = 13*(-1) (i x i) + 4*(-1) (j x i) + (-9)*(-1) (k x i)
........... + 13*7 (i x j) + 4*7 (j x j) + (-9)*7 (k x j)
........... + 13*(-4) (i x k) + 4*(-4) (j x k) + (-9)*(-4) (k x k)
x x y = -13 (i x i) - 4 (j x i) + 9 (k x i)
........... + 91 (i x j) + 28 (j x j) - 63 (k x j)
........... - 52 (i x k) - 16 (j x k) + 36 (k x k)
By definition of the cross product, we have
i x i = j x j = k x k = 0
i x j = k
j x k = i
k x i = j
and for any two vectors x and y, the product is anti-symmetric:
x x y = -(y x x)
This makes the products on the "diagonal" vanish, and we can condense terms using the anti-symmetry property:
x x y = (4 + 91) (i x j) + (9 + 52) (k x i) + (63 - 16) (j x k)
x x y = 95 k + 61 j + 47 i
x x y = 47 i + 61 j + 95 k
Plz help ASAP will give brainliest!!!
Answer:
20
Step-by-step explanation:
1.75 x 6 = 10.5
10.5 + 9.5 = 20
Answer:
20 is the answer im 100% sure ask me for a picture if u want my work shown
Step-by-step explanation:
An empty swimming pool is going to be filled with water. The swimming pool is a cuboid, that is 25 metres long, 10 metres wide and 2 metres deep. It is being filled at a rate of 800 litres per minute Given 1m3 = 1000 Litres, how long it will take to fill the swimming pool? Give your answer in hours and minutes.
Answer: 10 hours and 25 minutes.
Step-by-step explanation:
Multiply 25, 10, and 2 to find volume. Volume is 500 metres.
1 meter = 1000 litres. 500 * 1000 = 500,000 litres in volume.
500,000/ 800= 625 minutes.
625 minutes = 10 hours and 25 minutes
It take 10 hours and 25 minutes to fill the swimming pool.
The volume of a cuboid is given by the formula:
Volume = Length × Width × Depth
= 25 m × 10 m × 2 m
= 500 m³
Now, convert the rate of filling from liters per minute to cubic meters per minute:
1 m³ = 1000 liters
So, 800 liters per minute = 800/1000
= 0.8 m³ per minute
Next, the time it will take to fill the pool:
Time (in minutes) = Volume / Rate of filling
= 500 m³ / 0.8 m³ per minute
= 625 minutes
Now, 1 hour = 60 minutes
625 minutes = 625 / 60
= 10 hours and 25 minutes
So, it take 10 hours and 25 minutes to fill the swimming pool.
Learn more about Volume here:
https://brainly.com/question/28058531
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What is the definition of “slope of a ramp using trigonometry ?”
Answer:
Step-by-step explanation:
it is the tangent of the angle slope makes with the horizontal.
Math Question. please Help?
Answer: I don’t know bro I’m sorry but at least add me on insta silverqueef
Step-by-step explanation:
Thank tou
Answer:
13.75/17
Step-by-step explanation:
Cos is Adjacent over Hypotenuse so you take the numerator and put it on and adjacent side of the triangle and you take the denominator and put it on the hypotenuse. Then you use pythagorean theoram to solve for the rest of the triangle. Then you have all three sides of the triangle. Sin is Opposite over Hypotenuse, so you take the opposite angle and just put it over the hypotenuse value to get your sin. If you need a visual just draw a triangle. :)
Place the following values in order from least to greatest: 3/4, 0.7, 4/5, 65.5%, 0.72
Answer:
4/5, 3/4, 0.72, 0.70, %65.5
Step-by-step explanation:
65.5/100=0.655
Solve the following equation using algebraic operations (4n-18=22)
Answer:
n=10
Step-by-step explanation:
22+18=40 40/4=10
Given
4n - 18 = 22
Add 18 to both sides:
(4n - 18) + 18 = 22 +18
4n = 40
Divide 4n to both sides
[tex]\frac{4n}{4}[/tex]=[tex]\frac{40}{4}[/tex]
n=10
Now if you have to you can substitute n into the original equation and see if they are equal to one another.
4n - 18 = 22
4(10) - 18 = 22
40 - 18 = 22
22 = 22
With this being done n = 10
A deck of cards has 3 pink, 6 purple, and 4 green cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked
P(the first card is green and the second card is -purple)
With explanation
Answer:
2/13
Step-by-step explanation:
So firstly, know that there are 13 cards in the deck (3 + 6 + 4).
Therefore, the probability of drawing a green is 4/13.
After you draw the green card, there will be 12 cards left. Therefore, the probability of drawing a purple card next is 6/12.
To find compound probability, multiply the probabilities of the two separate events happening together:
4/13 * 6/12
= 2/13
Hope this helps! Please contact me if you have any questions :)
A bullet exits the barrel of a gun at 625 m/s. How long does it take to
hit a target that is 2.0 km away?
Answer: 3.2 seconds
Step-by-step explanation:
Time = Distance / speed
= 2000 / 625
= 3.2 seconds
which is not an equation of the line going through (3, -6) and (1, 2)
a. y-2=-4(x-1)
b. y-1=_4(x-2)
c. y=-4x+6
d. y+6=-4(x-3)
Answer:
The answer is B.
Step-by-step explanation:
Just took the quiz on A P E X .
Find the value of x in the given figure using properties of parallel lines. answers: A) 35° B) 15° C) 75° D) 105°
Answer:
x = 75
Step-by-step explanation:
X and 105 are supplementary angles so they add to 180
x+105 = 180
Subtract 105 from each side
x = 180-105
x= 75
.A linear equation in one variable has
Only one solution
Two solutions
More than two solutions
No solution
Answer:
Only One Solution
Step-by-step explanation:
Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.
can someone please help me understand ?
Answer:
A: 12cm
B: 90 degrees
C: 60 degrees
Step-by-step explanation:
A. Measure of GH is 1/4 of perimeter of 48 cm
48/4=12
a is 12cm
B. in a rhombus, diagonals are perpendicular,
FH and EG are perpendicular
So, angles EJF, GJF, GJH, and EJH are all right angles and equal 90 degrees
thus measure of angle EJF is 90 degrees
C.
First lets find the measure of EJF
Since all the inner angles of the triangle add up to 180 degrees,
we can make an equation:
60+90+x=180
150+x=180
x=30
angles EFJ and EHJ are congruent, since opposite angles in a rhombus are congruent,
Also, angles EHJ and GHJ are congruent since the diagonals in a rhomus are angle bisectors
Thus EHJ=30 and GHJ=30
30+30=60
EHG = 60
so answer is 60 degrees
Jennifer settles on the purpose of her website. What should be her next? A. design the website. B. Set an objective or goal C. Identify target users. E. Plan the website architecture
Answer:
C. Identify target users
explanation:
After she settles on the purpose of her website she basically had her plan/ goal already visioned. the next step is to find an audience that would be entertained and intrigued by her content. from this then she can start designing the project. i believe this question is in the wrong subject but
hope i helped!
Answer:
design the website
Step-by-step explanation:
If you flip a coin and pick a number tile from a bag of beans containing 6 different numbered beans at the same time, how many possible outcomes are there? A. 4 B. 8 C. 12 D. 16
Answer: C 12
Step-by-step explanation:
ALL possible outcomes
1 tails
2 tails
3 tails
4 tails
5 tails
6 tails
1 Heads
2 Heads
3 Heads
4 Heads
5 Heads
6 Heads
so its 12 total outcomes
Answer:
12
Step-by-step explanation:
go ask edge
The shadow cast by a television tower is 171 ft 10 in. A pole that is stuck in the ground nearby has 2 ft sticking above the ground and casts a shadow that is 6 ft 3 in. in length. Based on this information, how high is the television tower?
Answer:
the height is 54.99 ft or 659.84 in
Step-by-step explanation:
We know that the sides of similar triangles are proportional, so we can write:
2 ft / 6 ft 3 in = x / 171 ft 10 in
Now what we must do first and pass everything to the same unit of measurement:
Knowing that 1 foot equals 12 inches:
6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in
171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in
2 ft = 2 ft * 12 in / ft = 24 in
replacing:
24 in / 75 in = x / 2062 in
x = 24 * 2062/75
x = 659.84 in
Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft
That is, the height is 54.99 ft or 659.84 in
What is the value of m+(6n-1) when m=3 and n=1?
Answer:
8
Step-by-step explanation:
you do the brackets first so (6n-1) would be 6-1 which equals 5
now we have m=5, m is 3 so 3+5=8
Please help quickly
Answer:
41.47
Step-by-step explanation:
So to find the price after the discount, multiply 48 by 0.8
38.4
To find the amount after tax, multiply by 1.08
41.472 ≈ 41.47
Answer:
$41.47
Step-by-step explanation:
Original price: $48.00
Discount: 20%
20% of $48 = 20% * $48 = 0.20 * $48 = $9.60
Price after 20% discount = $48.00 - $9.60 = $38.40
Tax: 8%
8% of $38.40 = 0.08 * $38.40 = $3.07
Price after tax: $38.40 + $3.07 = $41.47
Answer: $41.47
Andre has a bowl of chocolates where 70% of them are milk chocolate and the remaining 30% are
white chocolate. The bowl contains a total of 20 chocolates. If he pulls two chocolates randomly from
the bowl without replacement, which of the following is closest to the probability that they are both
white chocolate?
1) 15.4%
2) 12.0%
3) 9.0%
4) 7.9%
Answer:
4) 7.9%
Step-by-step explanation:
Given:
% of milk chocolate = 70%
% of white chocolate = 30%
Total number of chocolate = 20
Number of milk chocolate:
[tex] \frac{70}{100} * 20 = 14 [/tex]
Number of white chocolate:
[tex] \frac{30}{100} * 20 = 6 [/tex]
From the calculations, we now know there are 14 milk chocolates and 6 white chocolates.
2 white chocolates are picked at random without replacement.
Probability first chocolate picked was white: [tex] \frac{6}{20} = 0.3 [/tex]
Probability second chocolate picked was white: [tex] \frac{5}{19} = 0.2632[/tex]
To find probability that both of them are white chocolates, multiply probability of the first and second.
0.3 * 0.2632 = 0.07896
≈ 0.079
Convert to percentage by multiplying by 100.
0.079 * 100 = 7.9%
The probability that they are both
white chocolate is 7.9%
Find the equation of the linear function
represented by the table below in slope-
intercept form.
X
у
-3
-6
1
1
-2
5
2
9
6
Answer:
y = (7/4)x - 3/4
Step-by-step explanation:
I'll assume that two points taken from your table are (-3, -6) and (1, 1).
As we move from the first to the second, x increases by 4 units ("run") and y increases by 7 units ("rise"). Thus the slope of the line connecting these two points is m = rise / run = 7/4.
Let's begin with the familiar y = mx + b. Substituting 1 for x and 1 for y and 7/4 for m, we get:
1 = (7/4)(1) + b, or 1 - 7/4 = b, or b = -3/4.
Then the desired equation, in slope-intercept form, is
y = (7/4)x - 3/4
What is the leading coefficient and constant of this equation?
(8r^3 + 2r^2 + 1) - (7 - 7r^3 +3r^2)
Answer:
The leading coefficient is 15
The constant is -6
Step-by-step explanation:
So first open up all the parentheses:
[tex]8r^3+2r^2+1-7+7r^3-3r^2 = 15r^3-r^2-6[/tex]
The leading coefficient is 15
The constant is -6
plsssss helppppp i need to do this work in 10 min plss helpp
Answer:
3/2 or 1.5
Step-by-step explanation:
Change in y/ Change in x
3/2
1.5
You're welcome and don't forget to click THANKS
Answer:
3/2 or 1.5
Step-by-step explanation:
Change in y/ Change in x
3/2
1.5
What is the product?
(5 r + 2)(3 r minus 4)
15 r squared + 8
15 r squared minus 8
15 r squared + 14 r minus 8
15 r squared minus 14 r minus 8
________________________________
Hey!!
Solution,
(5r+2)(3r-4)
= 5r(3r-4)+2(3r-4)
= 15r^2-20r+6r-8
= 15r^2-14r-8
So the right answer is 15 r squared minus 14 r minus 8
Hope it helps
Good luck on your assignment
_________________________________
Answer:
15 r squared minus 14 r minus 8
Step-by-step explanation:
from my understanding that what I think it is :) have an awesome day!!!!!!
What is the greater of -5
Help meh pls!!!!!!!!!!!!!!!!!!!!!!! 11÷3/4
Answer:
Step-by-step explanation:
Multiply by the reciprocal of 3/4. That is 4/3
[tex]\frac{11}{1} *\frac{4}{3} =\frac{44}{3}[/tex]
2 doesnt go into 44, but it does go into 42. It goes into 42 fourteen times. Then there is 2/3rds leftover
[tex]\frac{44}{3} ,14\frac{2}{3}[/tex] are both equivalent
What is the solution to the system of equations graphed below?
Answer:
B
Step-by-step explanation:
Given a system of equations graphically then the solution is at the point of intersection of the 2 lines.
The point of intersection = (- 4, 8 ) ← solution
HELPPPPPPP PLEASEEE!!!
Answer: A. (-1,-10)
The x-coordinate of the vertex can be calculated using [tex]x=-\frac{b}{2a}[/tex].
According to the equation given a = 1, and b = 2.
[tex]x=-\frac{b}{2a} =-\frac{2}{2(1)}=-\frac{2}{2} =-1[/tex]
The y-coordinate of the vertex can be calculated by subbing in the x-value from the previous equation (x = -1) for x, and solving for y.
[tex]y=x^{2}+2x-9=(-1)^{2}+2(-1)-9=1-2-9=-10[/tex]
∴ the vertex is (-1,-10).
Please help...
What is an equation in terms of x and y that can be used to model the proportional relationship?
Answer:
Step-by-step explanation:
y = 5x
Use the distributive property to factor out y.
5y-3y + 12
The new expression becomes
O By+ 12
0-2y+ 12
0 2y+ 12
O 147
________________________________
5y-3y+12
=2y+12
So the new expression becomes 2y+12
hope it helps
Good luck on your assignment
________________________________
Answer:
2y+12
Step-by-step explanation:
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
uquzas prguntale ea otroi
Find the distance between two points (6,−4) and (−4,−4).
Answer:
Step-by-step explanation:
(6, -4) ; (-4,-4)
[tex]Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1}^{2})}\\\\ =\sqrt{(-4-6)^{2}+(-4-[-4])^{2}} \\\\=\sqrt{(-10)^{2}+(-4+4)^{2}} \\\\=\sqrt{100+0}\\\\ =\sqrt{100}\\\\[/tex]
= 10 units