Given that
[tex]\vec A = xz^3 \, \vec\imath - 2x^2 y \, \vec\jmath + 2yz^4 \, \vec k[/tex]
its curl is
[tex]\displaystyle \nabla\times\vec A = \left(\frac{\partial\left(2yz^4\right)}{\partial y} - \frac{\partial\left(-2x^2y\right)}{\partial z}\right) \, \vec\imath - \left(\frac{\partial\left(2yz^4\right)}{\partial x} - \frac{\partial\left(xz^3\right)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\frac{\partial\left(-2x^2y\right)}{\partial x} - \frac{\partial\left(xz^3\right)}{\partial y}\right) \, \vec k[/tex]
[tex]\nabla\times\vec A = 2z^4 \, \vec\imath + 3xz^2 \, \vec\jmath - 4xy \, \vec k[/tex]
so that at the point (1, -1, 1), the curl is
[tex]\nabla\times\vec A \bigg|_{(x,y,z)=(1,-1,1)} = \boxed{2 \, \vec\imath + 3 \, \vec\jmath + 4 \, \vec k}[/tex]
What is the area of a triangle with a base of 16m and a height of 3m?
Answer:
24 m²
Step-by-step explanation:
[tex]A = \frac{hb}{2}[/tex]
A = (16)(3)/2
A = 48/2
A = 24
The units will be m² since it is area.
Researchers surveyed recent graduates of two different universities about their income. The following two-way
table displays data for the sample of graduates who responded to the survey.
How many graduates in the sample had an income of $40,000 and over?
graduates
Income
University A
University B
35
40
Under $20.000
$20.000 to $39.999
90
63
35
37
$40.000 and over
Report a proble
Stuck? Review related articles/videos or use a hint.
22% is the answer
First, divide 35(the number of students who have a income under 30,000 in university A) by 160(the number of students in university A)
Secondly once you got the answer which is 0.21875. You round it up to 22% which is that answer.
HOPE THIS HELPS! :)
Can someone help me solves x
Answer:
28 most likely
Step-by-step explanation:
Clarithromycin is available in a 250 mg/5 mL suspension. If a patient’s prescription calls for 500 mg of clarithromycin per dose, how many mL per dose should you dispense?
Answer:
10 ml
Step-by-step explanation:
500 mg / ( 250 mg /5 ml) = 10 ml
Find the greatest common factor of 34 and 49.
Answer:
7
Step-by-step explanation:
We found the factors and prime factorization of 34 and 49. The biggest common factor number is the GCF number.
So the greatest common factor 34 and 49 is 7.
Answer:
1
Step-by-step explanation:
Factors of 34 are going to be 1, 2, 17, and 34.
Whilst the factors of 49 are 1, 7, and 49. They do not share any other factor other than 1
what model reprasents 3/5 x 8
Answer:
I don't know if this is the answer you're looking for, but an answer could be
24 over 5.
Step-by-step explanation:
find area of triangle 6,6 1/4, and 1 3/4
Answer:
a≈3.94
Step-by-step explanation:
im not sure. i believe my answer is wrong. can u tell me what the base is? then the sides
Pls Hurry i need help lot's and lot's of help
Answer:
a)
Step-by-step explanation:
Hope it helps
Answer:
A
Step-by-step explanation:
I’m pretty sure it is A
because there is one clustered inside of the data
is a parallelogram a rectangle
Answer:
Yass indeed
Step-by-step explanation:
parallelogram is a rectangle.
Answer:
yes
Step-by-step explanation:
Select all of the properties that a parallelogram that is not a rectangle has. A. 2 pairs of parallel sides B. exactly 1 pair of sides with equal length C. 4 right angles D. 2 acute angles, 2 obtuse angles E. exactly 1 pair of parallel sides
Answer and Explanation:
B, because a rectangle has 2 pairs.
Theoretically, D could also be correct, but not in every scenario; all rectangles are parallelograms, but not all parallelograms are rectangles.
 Which of the following are solutions to the equation below?
Check all that apply.
x^2 - 8x + 16 = 5
A. x = -√5 - 4
B. x = √11 + 4
C. x = -√11 - 4
D. x = √5 - 4
E. x = -√5 + 4
F. x = √5 + 4
Answer:
The answer to your question is F
can anyone help? please and thank you!
-y⁴ + 4y
hope it helps...!!!
Solve for x: 4(2x -1) + 8 -14x = -8x + 4 + 2x
Answer:
The value of x is all real numbers.
Step-by-step explanation:
4(2x -1) + 8 -14x = -8x + 4 + 2x <== distribute 4
4(2x) + 4(-1) + 8 -14x = -8x + 4 + 2x
8x - 4 + 8 -14x = -8x + 4 + 2x <== combine any like terms on both sides
-6x + 4 = -6x + 4 <== both sides are equal
Since both sides of the equation are equal, this means that any x value makes the equation true. Any real number can be used as the value of x.
Hope this helps!
How much fencing is required to enclose a circular garden whose radius is 27 meters?
Answer:
169.65 m to the nearest tenth.
Step-by-step explanation:
Circumference of a circle = 2πr where r = the radius
= 2 * π * 27
= 169.646 m
Please help me 50 points!!!!!
Answer:
A is your answer! All I did was look for the volume of the cylinder, and the volume of a sphere. Then, you just add them together! Have a great day!
Step-by-step explanation:
Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 882 π square units. Find the value of r.
Answer:
21 units²
Step-by-step explanation:
the area of a circle is
pi×r²
the lateral area of a cylinder is the area only if the "mantle" of the cylinder : the round area all around the cylinder in its side.
in other words : everything but the ground and the top area.
how can we get the area of the side "mantle" ?
we can imagine, we take a knife and cut a straight line (and at 90°) from the top to the bottom, and then cut off the ground and the top circles by cutting along their circumference.
what do we get ?
if we put that remaining area in the table and press it flat, it is ... a rectangle. simply a rectangle.
its width is the height of the cylinder (the length of our initial top-bottom cut).
and its length is the length of the circle circumference that e just cut off.
and the circumference of a circle is
2×pi×r
so, the lateral area of the cylinder is
2×pi×r × h
r being the radius
h being the height of the cylinder.
and we get
LA = 2×pi×r×r = 882×pi
pi × r² = 441 × pi
r² = 441
r = 21 units²
4,238 as the sum of three different four digits numbers
Answer:
Step-by-step explanation:
Option 1: 1000 + 2000 + 1238
Option 2: 1500 + 1700 + 2038
Please answer asap. Also, explain the process of getting the answer. Thank you!
Answer: No cheating
Step-by-step explanation: Cheating isn’t allowed
Find the slope of the line that passes through (9, 1) and (6, 2).
Answer:
-1/3
Step-by-step explanation:
hope this helps!
FREE BRAINLY JUST HELP ME
Jordan took out a loan for
14
months and was charged simple interest at an annual rate of
5.75
%
. If the amount of the loan was
$
850
, what is the amount of interest she had to pay?
Answer:
57.02 dollars
Step-by-step explanation:
850 * 14/12 * .0575 =
The required, Jordan had to pay $53.03 in interest on her loan.
What is simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
here,
To find the amount of interest Jordan had to pay, we can use the simple interest formula,
I = P × r × t
Where I is the amount of interest, P is the principal (the initial amount of the loan), r is the annual interest rate as a decimal, and t is the time in years.
In this case, P = $850, r = 0.0575 (5.75% expressed as a decimal), and t = 14/12 (since the loan was for 14 months, which is 1 year and 2 months or 1.16667 years).
Substitute the value in equation 1.
I = $850 × 0.0575 × 14/12
= $57.02
Therefore, Jordan had to pay $53.03 in interest on her loan.
Learn more about simple interests here:
https://brainly.com/question/26457073
#SPJ2
The rectangle has an area of 36 square meters and a base of 35 meters. Find the width.
Answer:
About 1.03m
Step-by-step explanation:
A=36
L=35
w=A/L=36/35 which is about 1.03m
i will give brainliest
A) 60
B) 120
C) 360
D) 40
Answer:
40 m^3
Step-by-step explanation:
Volume of a pyramid = 1/3 * base area * height
base area = 4 x 4
1/3 * (4x4) * 7.5 = 40 m^3
9 Look at the descriptions in the table below. Decide whether each shape is possible or not possible. • For each shape, mark an X in the correct box under "Possible" or "Not Possible." • If the shape is possible, draw an example. Possible Not Possible Example Trapezoid that is a rhombus Rectangle that is not a square
there is no image here, no one can't answer u until u upload the image
Find the least common denominator for the set of fractions. 1 /3 , 1/ 4 , 1 /6 , and 1 /10
Answer:
60
Step-by-step explanation:
just find L.C.M of 3,4,6 and 10
Mr. Rodriguez has 8 packs of pencils to divide equally among his class of 26 students. If each pack
contains 15 pencils, how many pencils will each student receive? How many will be leftover? Show
your work.
What is an equation of the line that passes through the points (-8, 1) and (7, 1)
ANSWER: y = 1
STEPS:
first, find the slope by using the formula
which is also represented as m
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
where from point (-8, 1) x1 is -8 and y1 is 1
then from point (7, 1) x2 is 7 and y2 is 1
so we substitute into the formula
[tex] \frac{1 - 1}{7 - ( - 8)} = \frac{0}{7 + 8} = \frac{0}{15} [/tex]
[tex]m = \frac{0}{15} [/tex]
Then we solve for the equation of the line by using the formula
[tex](y - y1) = m(x - x1)[/tex]
but we have only y1, m and x1 so we substitute given us
[tex](y - 1) = \frac{0}{15} (x - ( - 8))[/tex]
but also, we must get rid of the fraction 0/15
so we multiply through by the denominator 15
[tex]15 \times (y - 1) = 15 \times \frac{0}{15} (x - (8))[/tex]
we get
[tex]15(y - 1) = 0(x - ( - 8))[/tex]
now we expand all brackets
[tex]15y - 15 = 0[/tex]
but we want the equation so we make y stand alone
[tex]15y = 15 \\ \\ \frac{15y}{15} = \frac{15}{15} \\ \\ y = 1[/tex]
the equation of the line is y=1
The circumference of a circle is 106.76 millimeters. What is the circle's diameter?
Use 3.14 for .
Answer:
CIRCUMFERENCE (of a circel) = 3.14 * DIAMETER
C = 3.14 * D
106.76 mm = 3.14 * D
hence, D = (106.76 mm)/ 3.14
D = 34mm
Therefore the diameter of the circle is 34mm
what is equivalent for 2/3 and 3/4 using 12 as a denominator
Answer:
8/12 and 9/12
Step-by-step explanation:
hope this helps loves x
three coins are flipped .
What is the possibilty that all are tails
Answer:
The third coin also has a 1 in 2 or 1 2 chance of matching the coin on the first toss. Therefore the probability of tossing three coins and getting all heads or all tails is: 1 × 1 2 × 1 2 = 1 4 = 0.25 or 25% We can also show this from the results table below: There are 8 possible outcomes for tossing three coins.
Step-by-step explanation:
11 + ( − 11 ) = 0 whats the answer?
Answer:
0
Step-by-step explanation:
uhhh it already solved and also, its the answer because if theres like a "+-" you can just convert it to "-" so then it will be
11 - 11
11 - 11 = 0
Answer:
0
Step-by-step explanation:
as + and then - is - so 11- 11 = 0