The line integral is
[tex]\displaystyle \oint_C\mathbf F(x,y)\cdot\mathrm d\mathbf r = \int_0^2 \mathbf F(x(t),y(t))\cdot\frac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt \\\displaystyle= \int_0^2 (\sin^2(\pi t),-\cos^2(\pi t))\cdot(-\pi\sin(\pi t),\pi\cos(\pi t))\,\mathrm dt \\\displaystyle=-\pi\int_0^2(\sin^3(\pi t)+\cos^3(\pi t))\,\mathrm dt = \boxed{0}[/tex]
A bag contains 10 discs.
Each disc is labelled with a different number from 1 to 10
Adinis chosen from the bag at random
Write down the probability that the chosen disc is
(a) the number 3
(b) a number loss than four
(c) a square number
(d) a prime number
Help please !!!
Answers:
(a) 1/10(b) 3/10(c) 3/10(d) 2/5===========================================
Explanations:
Part (a)
There is only one disc labeled "3" out of 10 total. So we end up with the probability 1/10.
---------------------
Part (b)
The list of numbers less than 4 are {1,2,3} which are 3 items out of 10 discs. We end up with 3/10.
---------------------
Part (c)
A square number, aka a perfect square, smaller than 10 is the list {1,4,9}
Since 1 = 1^2, 4 = 2^2 and 9 = 3^2
Like part (b), we end up with the same result of 3/10.
---------------------
Part (d)
The list of primes smaller than 10 is {2, 3, 5, 7}. Notice that 1 is not prime.
So we end up with 4/10 = 2/5.
Celeste is planning to buy a new bedroom set. Because sales tax rates can vary from town to town,
Celeste wants to compare the sales tax rates at two retail locations before making the purchase.
The price of the new bedroom set that Celeste wants to buy is $2,734. The sales tax rates in the
two cities at the time of purchase are given in the table.
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Answer:
$13.67, Valdosta, Tallahassee
Step-by-step explanation:
The total sales tax rate in Valdosta is 4% +3% = 7%.
The total sales tax rate in Tallahassee is 6% +1.5% = 7.5%, which is 0.5% higher than in Valdosta. That percentage makes a difference in the final price of ...
0.5% × $2734 = 0.005×$2734 = $13.67
Celeste will save $13.67 in sales tax if she makes her purchase in Valdosta rather than Tallahassee .
PLS HELP I WILL GIVE BRAINLIEST
Answer:
80°
Step-by-step explanation:
So as you can see, the givin angle is 100°. So that must mean that angle DBF is 80° because they are supplementary angles. (Together they equal 180°) And sense the pair of lines are parallel, and x is the smaller angle so it is 80°.
y>2x y>3 orderd pair
[tex]y > 2x \: y \: > \: 3 \: \\ solve \: for \: x \\ x \: € \: ( \frac{3}{2y} \: \frac{1}{2} )\: y > \: 3 \\ solve \: for \: y \\ y \: > \: \frac{3}{2x} \: x \: > \: 0 \: and \: x \: < \: \frac{1}{2} [/tex]
HOPE IT HELPS!!!I NEED BRAINLIEST ✌️Hãy giải giúp tôi câu tính giới hạn này
Answer:
Step-by-step explanation:
Divide the following two complex numbers.
3+2i
5-3i
Step-by-step explanation & answer:
Conjugate = 5+3i
Multiply fraction by conjugate:
(15+9i+10i+6i^2) / (25-9i^2)
Simplify:
(15+19i+6i^2) / (25-9i^2)
i^2 is -1:
(15+19i-6) / (25+9)
So:
9+19i / 34
Into a +bi form:
9/34 + 19i/34
Find the value of x.
Plz help :/
Answer:
10
Step-by-step explanat
ion:
Which is shown by the map
Answer:
A
Step-by-step explanation:
Well I am not fully sure but I would say A
find <BDC. (no lines are parallel)
Answer:
35 degrees
Step-by-step explanation:
180-55-55=70
180-70=110
180-110=70
70/2=35
Property: All straight lines from the centre of a circle are the same length, hence the triangles are isoceles.
======================================================
Explanation:
Inscribed angle ABC = 55 subtends the minor arc AC which is 110 degrees (use the inscribed angle theorem).
The inscribed angle BDC subtends the minor arc CB, which we'll call x for now.
The two minor arcs (AC and CB) combine to form the arc ACB. Note how this is a semicircle since AB is a diameter. For any semicircle, the arc measure is 180 degrees.
So,
(arc AC) + (arc CB) = arc ACB
110 + x = 180
x = 180-110
x = 70
This cuts in half to 35 which is the inscribed angle BDC, again we're using the inscribed angle theorem here.
Select the correct answer.
Given: ΔABC
Prove: The sum of the interior angle measures of ΔABC is 180°.
Answer:
C
Step-by-step explanation:
When ever a problem gives information about parallel lines, look for Alternate Interior angles.
Answer:
A
Step-by-step explanation:
What’s the range of the given function?
I marked that answer by accident btw
The range of the given function is - 2
Seema is travelling to Guernsey. She travels a distance of 3,800 km by plane to London and then another 400 km to Guernsey. Both planes fly at an average speed of 900 kmh-1.
What is her total flight time in hours and minutes, to the nearest minute?
9514 1404 393
Answer:
4 hours 40 minutes
Step-by-step explanation:
The appropriate relation is ...
time = distance/speed
time = (3800 km)/(900 km/h) +(400 km)/(900 km/h) = (38+4)/9 h
= 14/3 h = 4 2/3 h
Seema's flight time is 4 hours 40 minutes.
__
2/3 of 60 minutes is 40 minutes
The sum of the angles of a triangle is
Select one:
a. 360
b. 180
c. 90
d. 60
Answer: b. 180
Step-by-step explanation:
The sum of the angles of a triangle is 180°.
Step-by-step explanation: The sum of all the interior angles is always180°
What is an
equation of the line that passes through the points (0, -1) and (6, 1)?
Answer:
y = 1/3x -1
Step-by-step explanation:
The slope is y2 - y1 / x2 - x1
y2 is 1
y1 is -1
x2 is 6
x1 is 0
So it is 1 - (-1) / 6 - 0, or 2/6, or 1/3
The slope is 1/3.
The y-intercept is the place where x is 0. It shows the y-intercept here as
(0, -1), The y-intercept is -1
Slope form is y = mx + b. m is the slope, 1/3, and b is the y-intercept, -1
So the equation is: y = 1/3x -1
7) -4 = 2(b + 5)
please help!
Answer:
b = -7
Step-by-step explanation:
Let's solve your equation step-by-step.
−4 = 2(b + 5)
Step 1: Simplify both sides of the equation.
−4 = 2(b + 5)
−4 = (2)(b) + (2)(5)(Distribute)
−4 = 2b + 10
Step 2: Flip the equation.
2b + 10 = −4
Step 3: Subtract 10 from both sides.
2b + 10 − 10 = −4 − 10
2b = −14
Step 4: Divide both sides by 2.
[tex]\frac{2b}{2} = \frac{-14}{2}[/tex]
b = -7
Hope this helps, please mark brainliest if possible. Have a great day! :)
A restaurant is planning its staffing for weekday dinners. It finds that the number of customers is normally distributed. Which calculation would help them determine the most likely range of customers arriving for that meal
Answer: hypothesis testing with a null hypothesis that the number of customers is less than or equal to the usual number.
Step-by-step explanation:
Your question isn't complete as you didn't provide the options. These are given above.
Based on the options, the calculation that would help them determine the most likely range of customers arriving for that meal is a hypothesis testing with a null hypothesis that the number of customers is less than or equal to the usual number.
don’t understand this help please
Step-by-step explanation:
Since he sold $70,834 worth of cars, he earned an extra 5% commission on the sale. That means he got
0.05×($70,834) = $3,541.70
Therefore, his salary for the month m is
m = $2250 + 0.05s = $2,250 + $3,541.70 = $5,791.70
PLease Help!! will mark brainilest!!
Answer:
(x+4)(x+6)
Step-by-step explanation:
(x^2+4x)+(6x+24)
x(x+4) 6(x+4)
(x+4) (x+6)
What is the solution of the equation x2 + 4x + 10 = 0?
Answer:
The answer for thid equation is x = -5/3
Determine the perimeter of the figure below
Answer:
39 feet
Step-by-step explanation:
p = 15 + 8 + 10 + 6
p = 39
39 feet
at the present time, gerald is eight less than five times his nephews age. seven years ago gerald was 9 times his nephews age.
(A)if g represents geralds age now and n represents his nephews age today. use a system of equations that could be used to model this scenario?
(B)than use the equations to determine algebraically the ages of both Gerald and his nephew.
(C)than determine in how many years Gerald will be three times as old as his nephew?
What you know about rollin' down in the deep?
When your brain goes numb, you can call that mental freeze
When these people talk too much, put that sh*t in slow motion, yeah
I feel like an astronaut in the ocean, ayy
What you know about rollin' down in the deep?
When your brain goes numb, you can call that mental freeze
When these people talk too much, put that sh*t in slow motion, yeah
I feel like an astronaut in the ocean
Un ganadero está reparando una mezcla de avena y harina de maíz para ganado. Cada onza de avena proporciona 4 gramos de proteína y 18 gramos de carbohidrato; una onza de harina de maíz proporciona 3 gramos de proteína y 24 gramos de carbohidratos.
¿Cuántas onzas de cada uno se pueden usar para satisfacer las metas nutricionales de 200 gramos de proteína y 1320 gramos de carbohidrato por ración?
Answer:i love you
Step-by-step explanation:
Given A = (-1 -2 3 4 8 -6 0 1 5) and B = (-5 -1 6 4 1 2 0 -3 2) What is X if B - X = A?
Answer:
5(-3)2-2(-3)+1. =5(9)+6+1. =45+7 ... 7x – 6= 0). (3x + 2)(x – 3)=0. =3x + 2 = 0; x – 3 = 0. _486x 5 – 7x. 1 1 8 1 6. uh this is hard..
Step-by-step explanation:
Here are 30 best lifetime baseball batting averages of all time, arranged in order from lowest to highest
Answer Question Pls? I need Help!!
Answer:
option D
Step-by-step explanation:
Take the two through which the lines passes.
Let it be ( -5 , 0) and ( 0 , -3)
Step 1 : Find slope, m
[tex]Slope,m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]= \frac{-3-0}{0--5} = \frac{-3}{5}[/tex]
Step 2 : Find the equation
[tex](y - y_ 1) = m( x - x_1)\\\\( y - 0) = \frac{-3}{5} (x --5) \\\\y = -\frac{3}{5}( x + 5 ) \\\\y = -\frac{3}{5}x - 3[/tex]
(») Evaluate the expression.
* * (4 + 8)
Answer:
6
Step-by-step explanation:
work out the brackets first....4+8=12
the multiply 1/2 by 12
1/2 x 12 = 6
Which of the following is an example of data organization?
A. administering questionnaires
B. calculating a standard deviation
c. representing data with a histogram
D. declaring a statistically significant difference between groups
c) representing data with a histogram is an example of data organization
Which of the following best describes the use of the formula S = (n - 2)180°,
where n is the number of sides?
A. It is used to find the number of interior angles in a regular polygon.
B. It is used to find the sum of the interior angles in a regular
polygon.
O c. It is used to find the sum of the exterior angles in a regular
polygon
O D. It is used to find the number of exterior angles in a regular
polygon
SUBMIT
Of all the calls in the first quarter of year 5, how many were abandoned
I do not know what you mean, but ok.
What is the volume of the cone? Use 3.14 for π
Answer:
What is the height, radius or diameter of the cone?????