The value of the given integral, ∫ xdx zdy − ydz, evaluated over the circle C is independent of the circle and will always be zero. It is not influenced by the radius or orientation of the circle C.
1. The integral ∫ xdx zdy − ydz evaluated over the circle C, a circle of radius a in the yz plane centered at the origin, oriented clockwise when viewed from the positive x-axis, is equal to zero. This means that the value of the given integral is independent of the circle C and is not influenced by the radius or orientation of the circle.
2. To evaluate the given integral over the circle C, we can use Stokes' theorem, which relates the line integral of a vector field around a closed curve to the surface integral of the curl of the vector field over the surface bounded by the curve. In this case, the given integral can be written as the line integral of the vector field F = (x, 0, 0) over the circle C.
3. Since the vector field F has no y or z component, its curl is zero. Applying Stokes' theorem, the surface integral of the curl of F over the surface bounded by C is zero. Therefore, the line integral of F over C is also zero.
4. This implies that the value of the given integral, ∫ xdx zdy − ydz, evaluated over the circle C is independent of the circle and will always be zero. It is not influenced by the radius or orientation of the circle C.
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3. Find the volume of a hexagonal pyramid with a base area of 25 square inches and a height of 9 inches.
Answer:
225 square inches
Step-by-step explanation:
you always multiply when you need to find volume
so you start with the base area multiply it by the height
Base area is 25 square inches
Height is 9in
make it to an equation
25 x 9 = 225 square inches
which statement is true
Answer:
The correct answer would be C Reason being the same angle stays the same after the rotationThe coordinate bridge shows the cost of different numbers of bookmarks how many sense do for bookmarks cost.
Answer:
54 cents
Step-by-step explanation:
The cost of bookmarks relating to the number of bookmarks is given by the graph shown. Therefore:
From the graph, we can determine the relationship between the cost of bookmarks and the number of bookmarks by using two points. The equation of a line passing through points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\[/tex]
From the graph, y represents the cost of bookmarks in cents and x represent the number of bookmarks. we can see that it passes through the point (2, 30) and (7, 90). Hence:
[tex]y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2) \\\\y-30=12x-24\\\\y=12x+6[/tex]
The cost of 4 bookmarks (x = 4):
y = 12(4) + 6
y = 54 cents
Heidi rolls two 6-sided number cubes. What is the probability that she rolls a
sum equal to 7? Use the diagram of the sample space to help you.
Answer:
The probability is A 6/36
Step-by-step explanation:
Two 6 sided dice = 12
The Rugby coach purchased team jerseys for $800 and paid 14% tax. What was her final bill? Question 26 options:
Answer:
The final bill was $912
Step-by-step explanation:
Since there is 14% tax in order to get the final cost we would need to multiply the cost of the jerseys by 1.14, and so we get...
800 x 1.14 = $912
14% of math students got an A on the test. 29% got a B. What percentage of students got a C, D, or an F?
Answer:
57% of students
Step-by-step explanation:
14 + 29 = 43%
100% - 43% = 57%
what is the product of -2x^3 +x -5 and x^3 -3x-4?
a) Show your work
b) is the product of -2x^3 +x -5 and x^3 -3x-4 equal to the product of x^3 -3x-4 and -2x^3 +x -5? Explain your answer.
Answer:
For part 1:
-2x^6 + 7x^4 + 3x^3 - 3x^2 + 11x + 20
For part 2:
Based on the foiling of both, they are equal.
Step-by-step explanation:
(-2x^3 +x -5)( x^3 -3x-4)
What we need to do is foil one by one.
I’ve attached a picture of this.
Once you foil, you add like terms.
Now for part 2, x^3 -3x-4 and -2x^3 +x -5, we do the same process.
A pair of boots normally sales for $89.00,it is on sale for $50 what’s the sale percent?
Answer:
Your answer
43.8 %
Mark it as Brainlist. Follow me for more answer.
Step-by-step explanation:
In a tennis tournament, 25% of Sarah’s serves were aces. Design a simulation to predict how many aces you expect Sarah to serve out of 50 serves
Answer:
about 13 aces
Step-by-step explanation:
.25 x 50= 12.5
25% is equal to .25, you are trying to find 25% of 50. Of means multiple,
so how you get the equation .25 x 50, you can't have half a serve so you round up to 13 aces
what is the value of x in 75x -89 ÷ 7791 +7829 ×8391 =314682
The triangles are similar, solve for the question
mark.
Answer:
8
Step-by-step explanation:
I think it's the only reasonable one to choose that's my explanation
The Length of side AE= 18
Given :
A triangle ABE with the measure of sides .
Explanation :
Find out the measure of AE using similar triangles
From the given figure, Triangle ABE is similar to triangle CDE
When the triangles are similar then the sides are proportional
[tex]\frac{AB}{CD} =\frac{AE}{CE}[/tex]
We know that AB=15, CD=10, CE= 12
Substitute all the values and find out AE
[tex]\frac{AB}{CD} =\frac{AE}{CE}\\\frac{15}{10} =\frac{AE}{12}\\Cross \; multiply \\15(12)= AE(10)\\Divide \; both \; sides \; by \; 10\\\frac{15(12)}{10} =AE\\18=AE\\AE=18[/tex]
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Help plsssssssssssssss???
Answer:
output
-4
-2
0
Step-by-step explanation:
at x = -4 , y= -4
x = 1, y = -2
x = 2, y = 0
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Answer:
45 square centimeters
Step-by-step explanation:
to find the area of the rectangel multiply its height, which is 5 by its length which is 9.
9 x 5 = 45
What is the area of the trapezoid below? 7in 4 in 5 in 12 in
Answer:
1680 inches
Step-by-step explanation:
All you have to do is to multiply the numbers together.
7 × 4 = 28 in
5 × 12 = 60 in
60 × 28 = 1680
Therefor, the answer is 1680.
A 20 feet tree casts a shadow that is 32 feet long. What is the distance from the top of the tree to the tip of the shadow?
Answer:
37.7359
Step-by-step explanation:
first you visualize the shape created
if you visualize it... it will look like a right angled triangle
and we are looking for the longest side
remember the pythagoras theorem c^2= a^2 + b^2
in this case we are looking for c
a^2= 20^2
b^2= 32^2
400+ 1024= 1424
therefore c^2= 1424
then you square root 1424
to get 37.7359
note- the answer is solely based on the information given
Due in 10 minutes please help !! ASAP Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 90p each.
If she pays with a £20 note, how much change would she get in pounds, £?
Answer:
£7.3
Step-by-step explanation:
2 x £2=£4
3 x £3 = £6
3 x 90 = 270 = £2.7
£4+£6+£2.7= £12.7
20-12.7=7.3
7 pounds and 3
Answer: 4.3
Step-by-step explanation:
2(2)+3(3)+3(.9)=
4+9+2.7=15.7
20-15.7= 4.3
I'm assuming that 100 p is 1 £, if that's not the case this would be wrong
0.2(k + 2.4) = 3.2k. Please help me.
Answer:
k = 0.16
Step-by-step explanation:
First, use distributive property on the left side:
[tex]0.2(k+2.4)=3.2k\\0.2k+0.48=3.2k\\0.48 = 3k\\k = 0.16[/tex]
Answer:
k = 0.16
Step-by-step explanation:
Use distributive property, meaning individually multiply 0.2 to each number/variable within the parameters
0.2 × k = 0.2k
0.2 × 2.4 = 0.48
0.2k + 0.48 = 3.2k
You cannot add a number and a variable so instead we should isolate the variable
Subtract 0.2k from both sides
0.48 = 3.2k - 0.2k
0.48 = 3.0k
0.48 = 3k
Divide both sides by 3
0.16 = k
Use the discriminant to determine all values of k which would result in the graph of
the equation y = -2x2 + kx – 18 being tangent to the x-axis.
Answer:
k = ±12
Step-by-step explanation:
Equation of the graph is,
y = -2x² + kx - 18
Discriminant of a quadratic equation, y = ax² + bx + c is defined by
Discriminant = √(b²- 4ac)
If √(b²- 4ac) = 0,
Equation will have one real solution.
Discriminant of the the given equation = √[k² - 4(-2)(-18)]
Since, graph of the equation is tangent to the x-axis, there will be one real solution.
Therefore, √[k² - 4(-2)(-18)] = 0
k² - 144 = 0
k = ±√144
k = ±12
Each Parking Spot is 8 feet Wide A parking lot has 24 parking spots side by side What is the width measured in yards of the parking spots
Step-by-step explanation:
.................................
) La Organización Mundial de la Salud dispuso que el consumo máximo de
azúcar por día debería ser de 0.025 kg. Si una persona ingiere 2 botellas
desechables de refresco de cola de 600 ml al día, y se sabe que cada una
contiene 0.05 kg de azúcar, ¿cuántas veces rebasa el consumo
recomendado?
What does linear mean and what does a linear graph look like?
Four triangles with bases of 12 centimeters and heights of 8 centimeters were used to form a parallelogram. Calculate the area of the parallelogram.
Answer:
192
Step-by-step explanation:
12 x 8 x 4 x1/2 = 192
192
Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.
z > -3
z < 5
z < 4
z Less-than-or-equal-to 4
z > 0
Z>-3
Z<5
Z< or = 4
These 3 above have the 3 numbers in the solution set!
You just have to test each number in each inequality, and when all 3 of them work, the inequality is a part of the solution set!
Also Thanks for the 50 Points!
The inequalities are z ≤ 4 and z < 5 that have -0.5, 2.5, and 4 as part of the solution set.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
If the inequality have -0.5, 2.5, and 4 as part of the solution set.
That means, the required value has to be less than or equal to 4.
So, the inequalities are z ≤ 4 and z < 5.
Therefore, the inequalities are z ≤ 4 and z < 5.
To learn more about the inequality;
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Need help ASAP
48 ÷ 2 (9 + 3) = ?
Answer:
I think the answer is 288
Step-by-step explanation:
I think this because 48/2=24 and 9+3=12 (parentheses means multiply) 24x12=288
Kim got to the grocery store at 11:19 in the morning. She spent 24 minutes in the store. Find the points on the number line that show the number of minutes after 11:00 when she got to and left the store.
Answer:
43 minutes
Step-by-step explanation:
Arrival time at grocery store = 11:19 a.m
Time spent in store = 24 minutes
Number of minutes after 11:00 a.m when she arrived and left the store :
Time she left the store :
11:19 a.m + 24 minutes = 11:43 a.m
Minutes after 11:00 when she left :
11:43 - 11:00
= 43 minutes
On Tuesday in Washington D.C. the temperature at 8am was -8 degrees. At 1pm, it was 27 degrees. By how many degrees did the temperature change from morning to evening?
Answer:
35 degrees
Step-by-step explanation:
E
С
70
A
D
B
What is mZDEA?
OA) 20°
OB) 70°
OC) 90°
OD) 180°
6(5 - q) ?
This is distributive property of multiplication.
Answer:
30-6q
Step-by-step explanation:
6*5-6*q
30-6q
Write as a fraction and fractional model model: there is one container of fruit juice and 2 people want juice
Question seems incomplete but we would make assumptions in order to answer and explain
Answer and explanation:
If we wish to model this situation in the form of a fraction: there is one container containing 30 cans of fruit juice and 2 people want fruit juice, we would be finding how many fruit juice each person would get from the container.
Given one container= 30 cans of fruit juice
Number of persons that require fruit juice = 2
Therefore fraction of fruit juice in relation to required fruit juice= 30/2
A centipede weighs 10-3 grams. A centipede is carnivorous and can increase weight daily. If it
increased 103 times its body weight each day, how many grams of food can the centipede eat
each day?
Answer: it’s one gram
Step-by-step explanation:
I just answered it