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Calculate ∫C(7(x2−y)i⃗ +3(y2+x)j⃗ )⋅dr⃗ if: (a) C is the circle (x−2)2+(y−3)2=9 oriented counterclockwise. ∫C(7(x2−y)i⃗ +3(y2+x)j⃗ )⋅dr⃗ = (b) C is the circle (x−a)2+(y−b)2=R2 in the xy-plane oriented counterclockwise. ∫C(7(x2−y)i⃗ +3(y2+x)j⃗ )⋅dr⃗ =
General
4 months ago
A student showed the steps below while solving the equation by graphing. Step 1: Write a system of equations: Step 2: Use the change of base formula to rewrite the equations: Step 3: Graph the two equations: Step 4: Identify the x-value at the point of intersection: In which step did the student make the first mistake? step 1 step 2 step 3 step 4
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4 months ago
Goldberg's sleigh currently runs at 203mph, but he needs it to reach 400mph with all the packages he has to deliver. If Goldberg is delivering presents at an altitude of 5,813.6ft, with the same drag and weight of a 2019 Challenger SRT® Hellcat Redeye, how much HP would he need to reach 400 mph?Pro Tips:100% driveline efficiencyP (air density) at 5813.6 ft = .0019 slug/ft^3A (Area of Challenger front end) = 26.72 ft^2C(d) (Coefficient of drag) = .398Goldberg's sleigh required speed, 400 MPH = 587 ft/secF(drag) = 1/2 p x v^2 x C(d)AP = F(drag) x VConvert to Horsepower = P ( 1HP/550 ft lbf/sec)
General
4 months ago
I NEED HELP ASAP APEX!!!
General
4 months ago
The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean of 14 inches and a standard deviation of 3 inches. What proportion of brook trout caught will be between 12 and 18 inches in length?
General
4 months ago
What are the solution(s) of x2-4-0?OfX=-4 or x = 4O x=-2 or x = 2Ox=2O X=4o
General
4 months ago
Consider the line integral Z C (sin x dx + cos y dy), where C consists of the top part of the circle x 2 + y 2 = 1 from (1, 0) to (−1, 0), followed by the line segment from (−1, 0) to (2, −π). Evaluate this line integral in two ways:
General
4 months ago
True or False: The given number is a solution to the corresponding equationa=−34a+3=−9
General
4 months ago
Assume that IQ scores are normally distributed, with a standard deviation of 11 points and a mean of 100 points.If 85 people are chosen at random, what is the probability that the sample mean of IQ scores will not differ from the population mean by more than 2 points?
General
4 months ago
GIVING BRAINLEST!!!Joe and Tim observed two points, P and Q, on a number line. A number line is shown from negative 1 to positive 1 with increments of 1 over 8. The numbers negative 1, negative 6 over 8, negative 4 over 8, negative 2 over 8, 0, 2 over 8, 4 over 8, 6 over 8 are labeled on the number line. A point P is shown to the third place on the left of 0, and a point Q is shown to the third place on the right of 0. Joe said that the absolute values of the numbers represented by the two points are different. Tim said that the absolute values of the numbers represented by the two points are the same. Which of the following explains who is correct?
General
4 months ago
Given the following functions f(x) and g(x), solve f[g(10)] and select the correct answer below: f(x) = 10x + 8g(x) = x + 9A. 2,052B. 98C. 190D. 198
General
4 months ago
My cousin borrowed $15,000 for a new car loan for 5 years. He told me that at the end of the loan, he had paid $21,000 for the interest and principal. What was the rate of the loan? A. 7% B. 8% C. 9% D. 10%
General
4 months ago
PLS HELP ME ASAP Match the tiles to the correct boxes to complete the pairs.Match each event to the likelihood of its occurrence.TilesA.rolling a six-sided die andgetting a 7B.randomly selecting a girlfrom a team of 14 boysand 4 girlsC.randomly selecting a shortstraw from a set of 12short straws and 12 longstrawsD.picking a bird from a list of20 bird species and 6other animalsPairs1.likely2.impossible3.unlikely4.neither likely nor unlikely
General
4 months ago
Find the least common multiple of 18 ,12 , and .14
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4 months ago
2. Given the data 21, 13, 13, 37, 13, 23, 25, 15:What is the outlier in the data?What is the mean with the outlier?What is the mean without the outlier?
General
4 months ago
Which are steps that could be used to solve 0 = 9(x2 + 6x) – 18 by completing the square? Check all that apply. 18 + 81 = 9(x2 + 6x + 9) 18 + 9 = 9(x2 + 6x + 9) 18 + 36 = 9(x2 + 6x + 36) 11 = (x + 3)2 = (x + 6)2 = (x + 3)2
General
4 months ago
The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?Three rectangles are shown, one below the other. The middle rectangle has a width of 6 units, and, along each width, is a triangle with a height of 4 units. The length of the lowermost rectangle is 4 units and its width is 5 units. 88 units2 96 units2 112 units2 168 units2
General
4 months ago
If you flip a fair coin 777 times, what is the probability that you will get exactly 222 tails?
General
4 months ago
If the center of a circle is (1, 1), and it has a radius of 5, which is another point on the circle? A) (7, 1) B) (1, -5) C) (4, 5) Eliminate D) (-2, 6)
General
4 months ago
The base of a parallelogram and a triangle are the same length, and both figures have the same area. What is true about height of the triangle?a. It is the same as the parallelogram's height.b. It is half of the parallelogram's height.c. It is twice the parallelogram's height. d. Its height is twice its base.
General
4 months ago
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