1) curl = del x
2) grad(div ) = del(div )
3) div(curl(grad )) = div(curl(grad))
What is Scalar field and Vector field?
1) The curl of a vector field is a vector field that describes the local rotational motion of the field. It is defined as the cross product of the del operator (a vector operator that operates on scalar and vector fields) and the vector field:
curl = del x
2) The gradient of the divergence of a vector field is a scalar field that describes the local rate of change of the divergence of the field. It is defined as the del operator applied to the divergence of the field:
grad(div ) = del(div ).
3) The divergence of the curl of the gradient of a scalar field is a scalar field that describes the local rate of change of the curl of the gradient of the field. It is defined as the divergence of the curl of the gradient of the field:
div(curl(grad )) = div(curl(grad)).
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Emily has six black marbles, ten clear marbles, and four blue marbles in a bag. If she picks one
at random, what is the probability that she will pick a black marble?
Answer:
3/10
Step-by-step explanation:
What were the
prominent primary, secondary and tertiary effects the disaster brought?
Help please will mark brainliest!!!
Answer:
9 times 2 because of the 2 sides meaning... the answer is... 18 but also had to round it up to 20 because it's higher than 5 its 2 left but if necessary i think you need to add 9 more on the other side with the 9 across and do the same with the 2 mi!
Step-by-step explanation:
Hope i helped! Your welcome! Have a great week!
6/8 is equal to 15/ what? NEED HELP ASAP PLZ will choose brainliest
Answer:
No
Step-by-step explanation:
It is not equel
Find the measure of the angle indicated (x). Round to the nearest tenth Show your work to support your answer
Answer:
Karen, this type of question is such a tricky question, there is a lot of things that you just have to remember for these. Also, this type of question is asked a lot on brainly, you are in good company :P This also makes me wonder if math teachers are just REALLY BAD at teaching this.. hmmm Something is up with this type of problem b/c I have answer 100s of these type on here.. they are tricky. soooo...
Step-by-step explanation:
1st ,
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
with the above info, we can solve your triangle :P not meant to sound "wrong" .. anyway
look for the info you are given and what you want to find... and match that to one of the 3 formulas. after you've done this a few 100 times.. you'll just remember the above formulas. :D
sooo I see that we want to find that angle ∅ and we know two of the sides and that this is a right triangle.. which means we can use the above formulas on this triangle. So we know the adjacent side and the opposite side, to the angle, soo lets use TOA
Tan(∅) = Opp / Adj
Tan(∅) = 4 / 13
now the algebra gets a little tricky here.. but it's just using the inverse function of the Tan to find the angle .. it's just going backwards with the function is all.. nothing to see here... move along.. :D
take the inverse Tan function ( arcTan) on both sides... sooo
∅ = arcTan( 4 /13 ) ( this will find the angle, but make sure your calculator is set to degrees.. and not radians )
∅ = 17.1027...°
So, now we know that angle ∅
SOH CAH TOA is super helpful for this kind of triangle problem :)
alex, bella, cara share £90; work how much each of them have if:
alex has £x
bella has 3 times as much as alex
cara has £10 less than alex
Step-by-step explanation:
given,
alex = x
bella = 3x
cara = x - 10
and also given,
[tex]x + 3x + (x - 10) = 90 \\ x + 3x + x - 10 = 90 \\ 5x - 10 = 90 \\ 5x = 90 + 10 \\ 5x = 100 \\ x = 100 \div 5 \\ = 20[/tex]
Given x = £20,
Alex = £x = £20
Bella = £3x = £3x20 = £60
Cara = £(x-10) =£(20-10) =£10
solve inequality -8x < 32
Answer:
x > -4
Step-by-step explanation:
I just looked it up
But I know this is it
Answer:
Inequality Form:
x > − 4
Interval Notation:
(-4,∞)
Step-by-step explanation:
what is the slope of the following equation y = -1/2x + 4
Answer:
the slope is -1/2
Step-by-step explanation:
A rectangular flower garden in Samantha's backyard has 140 feet around its edge. The width of the
garden is 30 feet.
What is the length of the garden?
The length of the garden is
feet.
Answer:
40 feet
Step-by-step explanation:
140=2×(30+x) /:2
70=30+x /-30
40=x
[tex]30000 \sqrt{2.85} [/tex]
Answer:
50,645.82
Step-by-step explanation:
[tex]30000 \sqrt{2.85} [/tex] =50,645.82
What is the square root of pie?
Answer:
The square root of Pi is approximately 1.77245.
Step-by-step explanation:
Answer:
About 1.77245.
Find both the number of combinations and the number of permutations for the given number of objects.
15 objects taken 7 at a time
Answer:
First, if we have a set of K elements, such that are ordered as:
{x₁, x₂, ...}
The total number of permutations for the K elements can be found in the next way.
For the first element in the set, we have K options.
For the second element in the set, we have (K - 1) options (because we already choose one)
For the third element we have (K - 2) options, and so on.
The total number of permutation is equal to the product between the numbers of options for each position's element, then the number of permutations for K elements is:
permutations = K*(K - 1)*(K - 2)*....*2*1 = K!
Now suppose that we have a set of N elements, and we want to make groups of K elements.
The total number of different combinations of K elements is given by the equation:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
In this case we have 15 objects (then N = 15) and we take 7 at the time (Then K = 7)
Where we need to take in account the number of combinations and also the permutations for each combination.
Then the total number of different sets is:
C(15*7)*7!
First, the total number of combinations will be:
[tex]C(15,7) = \frac{15!}{(15 - 7)!7!} = \frac{15!}{8!*7!} = \frac{15*14*13*12*11*10*9}{7*6*5*4*3*2*1} = 6,435[/tex]
So we have 6,436 combinations, and each one of these combinations has 7! permutations.
permutations = 7! = 7*6*5*4*3*2*1 = 5,040
if we combine these we get:
Combinations*Permutations = 6,435*5,040 = 32,432,400
Answer:
7
Step-by-step explanation:
In order to play on the 7th grade basketball team you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
Show your work here:
INCLUDE ANSWER AND TY
Answer:
20%
Step-by-step explanation:
The uniform cost $8 more than last year.
Last year was $40
Find what percent of 40 is 8.
8/0.4 = 20
the percent change is 20%
The ration of girls to boys is 7:8. If there are 140 girls, how many boys are there?
Answer:
160
Step-by-step explanation:
140 divided by 7 equals 20, then you times the answer by 8, which you get 160.
What is the volume of a hemisphere with a radius of 9.8 in, rounded to the nearest tenth of a cubic inch?
Answer:
the volume of the hemisphere is 1970.2 cubic inches.
Step-by-step explanation:
The given is,
Radius of hemisphere is 9.8 inches.
Step:1
Formula of volume of hemisphere is,
..................(1)
Where,
r - Radius of hemisphere
Step:2
From the given,
r = 9.8 inches
Equation (1) becomes,
=
=
= (0.66666666)(3.1415)(942.192)
= 1971.23
Volume of hemisphere = 1971.23 cubic inches
Result:is 1970.2 cubic inches.
Answer:
1971.2
Step-by-step explanation:
I just did it and got it right, it's not 1970.2, trust me
The periscope of a submarine is at sea level. The boat captain spots an airplane with
an elevation angle of 30°. The airplane is flying at an altitude of 2000 feet.
The straight line distance between the submarine and the airplane is...
Answer:
The airplane is 100.4 flying at an altitude of 30,000 feet. AB = 210,000 feet. At what angle is the plane descending (the angle of depression)?. Above is a picture of astronauts ...
7 pages·477 KB
The straight line distance between the submarine and the airplane is 4000 feet.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let d represent the straight line distance between the submarine and the airplane. Hence:
sin(30) = 2000/d
d = 4000 feet
The straight line distance between the submarine and the airplane is 4000 feet.
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
HELP ASAP What is the distance between the following points
Answer:
6
Step-by-step explanation:
Each number in the sequence below has the same relationship to the number immediately
befor it.
ny
4, 8, 16, 32, 64,...
How can the next number in the sequence be found?
A. By adding 4 to 64
B. By adding 16 to 64
C. By multiplying 64 by 2
D. By multiplying 64 by itself
Answer:
C. By multiplying 64 by 2Explanation:
64 = 32×2
32 = 16×2
16 = 8×2
8 = 4×2
(so 128 is the next number)
Answer:
c by multiplying 64 by 2
Step-by-step explanation:
in the sequence we can see that 4×2=8 8×2=16 16×2=32 32×2=64 64×2=128
Check all statements that are true.
a. Adding two integers and then taking the remainder produces the same result as taking their remainders first, then adding them, and then applying the remainder operation once more.
b. Saying that a divides b is the same as saying that b is a multiple of a.
c. Adding two integers and then taking the remainder produces the same result as taking their remainders first and then adding them.
d. When you perform division by 5 with remainder, the remainder is an integer from -5 to 5.
e. If an integer a divides a product of two integers b and c, then a must divide b or a must divide c.
f. If an integer divides two numbers, it also divides their difference.
g. If an integer divides two numbers, it also divides their sum.
h. When you perform division by 3 with remainder, the remainder is one of the integers 0,1,2.
i. If a and b are positive integers, and a = bq + r is the decomposition of a given by the division algorithm, then q can be found as the floor of a/b, and then r can be found as r = a - bq.
j. If an integer a divides an integer b, then a also divides any multiple of b.
Answer:
a. True
b. True
c. False
d. False
e. False
f. True
g. True
h. True
i. True
j. True
Step-by-step explanation:
When the integer divides the two number then their sum is also divisible by that integer. This is also the case in the subtraction when two number are divisible then their difference is also divisible. When there is division by 5 the number not necessarily can be 5 or -5. This statement is not correct.
Which expression is equivalent to
(5^-2) (5^-4)?
A. -1/125
B. -1/5
C. 1/125
D. 1/5
Answer:
umm none the above cuz 5^-2 = 1/25 and 5^-4 = 625, 625*25 = 15625 so 1/15625 bru
Step-by-step explanation:
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options.
Answer:
A, C, D.
Step-by-step explanation:
Tony is taking out a simple interest loan for $9,000 in order to open a skateboard shop. Which loan terms would allow Tony to pay the least amount of interest on the loan?
A. An interest rate of 7.5 % and a loan period of 2 years.
B.An interest rate of 2.5 % and a loan period of 3 years.
C.An interest rate of 2% and a loan period of 4 years.
D. An interest rate of 4% and a loan period of 5 years.
Answer
It would be C
Step-by-step explanation:
When you need a fraction of a number, likeſ of 9, how do you find out how much you need?
A
You add the fraction to the number.
B
You subtract the fraction from the number.
с
You divide the number by the fraction.
D
You multiply the number by the fraction,
Answer:
D) Multiply
Explanation:
The word "of" usually means you multiply.
A student determined the value of x as shown. Explain the students error. (Click on photo and NO ABSOLUTELY NO LINKS)
Answer:
Answer is in the link below- jkjk
Step-by-step explanation:
It's a right angle so it can only add to 90 degrees, not 180
I’m stuck on this problem helpp
PLZ HELP!
Find the 19th term in the geometric sequence.
2, 6, 18, 54, ...
A)2,324, 522,934
B)1, 162, 261,467
C)6,973,568,802
D) 774, 840,978
Answer:
D
Step-by-step explanation:
The equation for the sequence turns out to be 2([tex]3^{n-1}[/tex]) where n is the nth.
Plugging in 19 you get 2([tex]3^{18}[/tex]), or 774,840,978
Miles takes a 350-mile round-trip flight to visit his parents. To qualify for Gold status at Awesome
Airlines, one must fly at least 7700 and less than 12600 miles each year. How many times would Miles
need to visit his parents each year to attain Gold status? Express your answer in interval notation.
Answer:
Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.
Step-by-step explanation:
Given that Miles takes a 350-mile round-trip flight to visit his parents, and to qualify for Gold status at Awesome Airlines, one must fly at least 7700 and less than 12600 miles each year, to determine how many times would Miles need to visit his parents each year to attain Gold status, the following calculation must be performed:
7700/350 = X
22 = X
12600/350 = X
36 = X
Thus, Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.
HELp! WILL GIVE BRANLIEST
Answer:
330
Step-by-step explanation:
If the perimeter of the triangle is 95 inches, what is the length of each side? n, 3n+8, and 4n+7.
Answer:
10, 38, 47
Step-by-step explanation:
The perimeter is the sum of the side lengths:
95 = n +(3n +8) +(4n +7)
80 = 8n . . . . . . subtract 15
10 = n
3n+8 = 3(10) +8 = 38
4n+7 = 4(10) +7 = 47
The lengths of the sides of the triangle are 10, 38, 47.
Find the slope of the line graphed.
A) -4/5
B)-5/4
C)4/5
D)5/4
Have to use photo to solve.
Answer:
The answer is -4/5 C
Step-by-step explanation: