Missing information:
How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point
[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]
Answer:
[tex]Rate = 0.935042^\circ /cm[/tex]
Step-by-step explanation:
Given
[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]
[tex]T(x,y) =x\sin2y[/tex]
[tex]r = 1m[/tex]
[tex]v = 2m/s[/tex]
Express the given point P as a unit tangent vector:
[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]
[tex]u = \frac{\sqrt 3}{2}i - \frac{1}{2}j[/tex]
Next, find the gradient of P and T using: [tex]\triangle T = \nabla T * u[/tex]
Where
[tex]\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})} = (sin \sqrt 3)i + (cos \sqrt 3)j[/tex]
So: the gradient becomes:
[tex]\triangle T = \nabla T * u[/tex]
[tex]\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] * [\frac{\sqrt 3}{2}i - \frac{1}{2}j][/tex]
By vector multiplication, we have:
[tex]\triangle T = (sin \sqrt 3)* \frac{\sqrt 3}{2} - (cos \sqrt 3) \frac{1}{2}[/tex]
[tex]\triangle T = 0.9870 * 0.8660 - (-0.1606 * 0.5)[/tex]
[tex]\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5[/tex]
[tex]\triangle T = 0.935042[/tex]
Hence, the rate is:
[tex]Rate = \triangle T = 0.935042^\circ /cm[/tex]
What is the ratio in simplest form 20: 10
Answer:
2:1 is the simplest form
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLEIST!!! What type of angles are ∠4 and ∠8?
Answer:
Corresponding Angles
Step-by-step explanation:
They are both in the same positions but just on different lines meaning they are corresponding :)
The angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
As we can see in the figure, the line b and line c are parallel to each other and intersected by a line a.
The angles 1, 2, 3, 4, 5, 6, 7, and 8 formed.
The angles 1 and 4, angle 2 and 3 are vertically opposite angles.
Similarly, 5&8 and 6&7 are vertically opposite angles.
The angle 4 and angle 8 are corresponding angles.
Thus, the angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.
Learn more about the angle here:
brainly.com/question/7116550
#SPJ2
Sue has taken four exams so far in her History course. Her scores are 84.0, 78.2, 93, and 87.5. What is the average of these scores?
Answer: 85.7
Step-by-step explanation:
Find the missing lengths leave your answers as radicals in simplest form
Step-by-step explanation:
w = 4
y = 4√2
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Find the surface area of the figure
a. 150 square cm
b. 228.4 square cm
c. 78.4 square cm
d. 210 square cm
Answer:
c
Step-by-step explanation:
In a game involving a standard deck of 52 playing cards, an individual randomly draws 6 cards without
replacement. Let Y be the number of aces drawn.
What type of variable is Y?
Answer: Neither
Step-by-step explanation:
Can y’all help me on question eight?!
Answer:
50
Step-by-step explanation:
PEMDAS
3(2)+24/2+2(3+7)
Pemdas
3(2)+24/2+2(10)
PeMDas
6+24/2+20
6+12+20
PemdAs
38
Please help i need the right answer fast will give brainliest if its correct answer
Answer:
8 X 5 = $40
Step-by-step explanation:
Need help with this, the answer is 61 but I need the work for it.
Answer:
61
Step-by-step explanation:
Arc AC = 180
Arc DC = 58
Arc AC = Arc AD + Arc DC
180 = Arc AD + 58
122 = Arc DC
Tangent Chord Angle = 1/2Intercepted Arc
Angle DBA = 1/2 Arc DC
Angle DBA = 1/2 (122)
Angle DBA = 61
2. The size of garage after a 12% decrease is 150 square feet. What was the original
size of the garage? Round to the nearest whole feet.
Answer:
168ft^2
Step-by-step explanation:
150 · 0.12 = 18.
150 + 18= 168
need help ASAP plz and I've got more if anyone wants to help
Answer:
1/4+1/4+1/4+1/4+1/4+1/4= 1.5
3/10x2/3= 0.2
2/4x2/3= 0.33333333333 (just put 0.3 with a line on top of the 3)
6 divided by 1/2 = 12/1 or 12
9 divided by 1/3 = 27/1 or 27
2/5 divided by 3/4 = 8/15
1/2 divided by 2/3 = 3/4
need help with these 2 questions
Answer:
I worked really hard on this problem, I had to manually edit with my editing tool for 15 minutes lol.
Write the reciprocal of each mixed number.
1 1/6
Answer:
The reciprocal of mixed number is 6/11
Usa graph peper. Plot the points on a coordinate plane. In which quadrant
is cech point located?
2 A (3,7) B (2.0) C (8-1), D (0 -6) E (-3, 5) and F (-6, 7)
Answer:
Point A: quadrant 1
Point B: either quadrant 1 or 4
Point C: quadrant 4
Point D: either quadrant 3 or 4
Point E: quadrant 2
Point F: quadrant 2
Step-by-step explanation:
HELP PLSSSS I BEG UUUU PLSSS
Answer: Thursday
Step-by-step explanation:
I hope this helps
Answer: Thursday
Step-by-step explanation:
It's Thursday because any number below 0 is a negative number but, as Thursday is 3° above 0, it is positive.
Hope this helps :)
Thomas lives more than 0.55 km and less than 0.75 km from his school.
Thomas lives from his school?
A. 0.06 km
B 0.50 km
c. 0.60 km
D. 1.30 km
Which choice could be the distance Thomas lives from his school?
A submarine was 20 feet below sea level. If it ascends (goes up) 30 feet,
what is its new position?
50 feet above sea level
O 10 feet below sea level
O 50 feet below sea level
O 10 feet above sea level
Answer:
10 ft above sea level
Step-by-step explanation:
20 below goes up by 30 then it would be -20 -10 0 10
the figure below shows a semicircular arch tunnel
Answer:
312.5
Step-by-step explanation:
What is the value of the underlined digit? Write your answer as a fraction. 0.812? 2 is underline number?
9514 1404 393
Answer:
1/500
Step-by-step explanation:
The value of the digit is found by setting the other digits to zero:
0.002
This is 2 thousandths, or 2/1000. The fraction can be reduced to 1/500.
Answer:
the answer is 1/500
Step-by-step explanation:
:)))
The answer the number 2
Answer:
69
Step-by-step explanation:
Find the volume of the given solid. Bounded by the cylinder y2 + z2 = 16 and the planes x = 2y, x = 0, z = 0 in the first octant
Answer:
[tex]\mathbf{ \dfrac{128}{3}}[/tex]
Step-by-step explanation:
Given that:
[tex]y^2 + z^2 = 16; \\ \\ where; \ x = 2y , x =0, z= 0[/tex]
[tex]Replace \ z = 0 \ \text{in the given equation ;} y^2+z^2=16[/tex]
[tex]Then;[/tex]
[tex]y^2 = 16 \\ \\ y = \sqrt{16} \\ \\ y = \pm 4[/tex]
[tex]\text{So; in 1st octant \ limits of y }= 0 \to 4 \ \text{and for x }= 0 \to 2y[/tex]
∴
[tex]\text{Volume of solid: (V) = }\int ^{4}_{y=0} \int ^{2y}_{x=0} \sqrt{16-y^2} \ dxdy \\ \\ = \int^4_{y=0} \sqrt{16 -y^2} \ (x)^{2y} _o \ dy \\ \\ = \int^4_{y=0}\sqrt{16 -y^2} (2y -0) \ dy \\ \\ V = \int^{4}_{y=0} \ 2y \sqrt{16 - y^2} \ dy[/tex]
[tex]Now, let:\\\\ 16 - y^2 = u \\ \\ -2ydy = du \\ \\ 2ydy = -du \\ \\ Hence, when \ y = 0; u = 16 \\ \\ and \\ \\ when \ y = 4 \ then \ u = 0[/tex]
∴
[tex]V = \int ^4 _{y=0} \ 2y \sqrt{16 -y^2 } \ dy \\ \\ = \int ^0_{16} - \sqrt{u}\ du \\ \\ = - \int^0_{16} \ u^{^{\dfrac{1}{2}}} \ du \\ \\ = \Bigg [\dfrac{u^{^{\dfrac{1}{2}+1}}}{\dfrac{1}{2}+1 } \Bigg]^0_{16} \\ \\ =\Bigg[ -\dfrac{u^{\dfrac{3}{2}}}{\dfrac{3}{2}}^0_{16} \Bigg] \\ \\[/tex]
[tex]= - \dfrac{2}{3}\Big( u^{\dfrac{3}{2}}\Big)^0_{16} \\ \\ = - \dfrac{2}{3} \Big(0^{^\dfrac{3}{2}}}- 16^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(0 - (4^2)^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(-(4)^{3}}\Big )[/tex]
[tex]= - \dfrac{2}{3} \Big(64\Big )[/tex]
∴
[tex]\mathbf{V = \dfrac{128}{3}}[/tex]
hey i need helpppppol
Answer:
Option : C
Step-by-step explanation:
Hope it helps you!
Find the perimeter of the trapezoid.
16
7
5
4
20
Plz plz help
Answer:
48
Step-by-step explanation:
7+16+5+20=48
a rectangular prism that has a length of 13 ft of 2 ft and do with of 4 ft What is its volume in cubic feet
Answer:
104 ft³
Step-by-step explanation:
to find the volume of a rectangular prism you do
width x height x length or 13x2x4
13x2=26
26x4=104
so the volume of the rectangular prism is
104 ft³
have a great day :D
major arc BRA is 3/2 the length of minor arc BSA. the length of major arc BRA is 6pi centimeters. what is the radius of the circle?
9514 1404 393
Answer:
5 cm
Step-by-step explanation:
The given arcs have the ratio ...
BRA : BSA = (3/2) : 1 = 3 : 2
Then BRA is 3/(3+2) = 0.6 of the total circumference of the circle.
0.6(2πr) = 6π . . . . . BRA is 6π long
r = 6π/(1.2π) . . . . . . divide by the coefficient of r
r = 5 . . . . centimeters
I need halo on the last one quickly please
Heeeeeeeelp meeeeeee
Answer:
(-8+1)
Step-by-step explanation:
what amount of money can we obtain using the coins we have
Answer:
bitcoin
Step-by-step explanation:
Answer:
Step-by-step explanation:
On a survey, 7 students reported how many minutes it takes them to travel to school. Here are their responses.
8,5,3,15,6,16,5
Find the mean travel time for these students.
If necessary, round your answer to the nearest tenth.
Answer:
8
Step-by-step explanation:
The mean of the minutes reported is 8. The mean is the average, or the sum of the data divided by the total number of data.
Please help me with math
Answer:
These are the answers. Hope this helps!
Step-by-step explanation: