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MATH SOLVE
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2. A boat in calm seas travels in a straight line and ends the trip 16 km west and 50 km north of its original position. Find the direction of the trip to the nearest tenth of a degree.
General
2 months ago
I can’t figure this out
General
2 months ago
Suppose a homeless shelter provides meals and sleeping cots to those in need. A rectangular cot measures 6 feet long by 3 ½ feet wide. Find the cot's diagonal distance from corner to corner. Round your answer to the nearest hundredth foot. 6.95 feet 9.64 feet 9.65 feet 6.94 feet
General
2 months ago
Farimah and Helio are standing 15 ft. apart from each other and looking up at a kite that is with the flying between them. Farimah is flying the kite on a 57 ft. string at an angle of 68° with the ground. How far is Helio from the kite?A. 64.1 ft. B. 56.2 ftC. 60.0 ft. D. 53.2 ft.
General
2 months ago
Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. What is the value of the ratio (new to original) of the perimeters? the areas?The ratio of the perimeters is ___.The ratio of the areas is ___.
General
2 months ago
Solve the triangle for x.
General
2 months ago
GIVING BRAINLIEST!!What is the volume of the pyramid in the diagram?A) 25 cm^3B) 75 cm^3C) 105 cm^3D) 135 cm^3E) 225 cm^3
General
2 months ago
Observe the expression below and select the true statement(s).3y(7 + 2x) + 9xy - 10
General
2 months ago
Which are simplified forms of the expression cot^2θcos2θ. Select two of the following there must be two selections!
General
2 months ago
A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.2 MB. Yesterday, the high-quality version was downloaded three times as often as the standard version. The total size downloaded for the two versions was 3427 MB. How many downloads of the standard version were there?
General
2 months ago
The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement. (a) Find the probability that the first number is 4, given that the sum is 9. (b) Find the probability that the first number is 3, given that the sum is 8.
General
2 months ago
The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidethat everyone should shake hands. Assuming all 10 people atthe party each shake hands with every other person (but notthemselves, obviously) exactly once, how many handshakes takeplace?
General
2 months ago
The mean speed of a sample of vehicles along a stretch of highway is 67 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 58 miles per hour and 76 miles per hour. (Assume the data set has a bell-shaped distribution.)
General
2 months ago
A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season, the clinic saw 85 patients. In week 10 of flu season, the clinic saw 65 patients. Assume the reduction in the number of patients each week is linear. Write an equation in function form to show the number of patients seen each week at the clinic. A.f(x) = 20x + 85 B.f(x) = −20x + 85 C.f(x) = 4x + 105 D.f(x) = −4x + 105
General
2 months ago
Using the letters a, b, c, d, e, f find the number of 4-letter "words" such that: a) A letter can be repeated; b) Letters cannot be repeated, but can be in any order; c) Letters cannot be repeated, and must be used in alphabetical order; d) Which of the above counting question is a combination and which is a permutation? A "word" is any mixture of the letters.
General
2 months ago
Use the substitution of x=e^{t} to transform the given Cauchy-Euler differential equation to a differential equation with constant coefficients then solve that by any method. (finding the characterristic (auxiliary) equation or variation of parameters). Do not forget to re-subtitute for x after you solve the equation.x^{2}y^{''}+9xy^{'}-20y=0
General
2 months ago
Using power series, solve the LDE: (2x^2 + 1) y" + 2xy' - 4x² y = 0 --- - -- -
General
2 months ago
Use the arc length formula to find the length of the curve y = 4x - 1, -3 lessthanorequalto x lessthanorequalto 2. Check your answer by noting that the curve is a line segment and calculating its length by the distance formula. 4 Squareroot 17
General
2 months ago
Your friend has recently learned about coprime numbers. A pair of numbers {a, b} is called coprime if the maximum number that divides both a and b is equal to one. Your friend often comes up with different statements. He has recently supposed that if the pair (a, b) is coprime and the pair (b, c) is coprime, then the pair (a, c) is coprime. You want to find a counterexample for your friend's statement. Therefore, your task is to find three distinct numbers (a, b, c), for which the statement is false, and the numbers meet the condition l ≤ a < b < c ≤ r. More specifically, you need to find three numbers (a, b, c), such that l ≤ a < b < c ≤ r, pairs (a, b) and (b, c) are coprime, and pair (a, c) is not coprime.
General
2 months ago
Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Independent samples from two different populations yield the following data. x1 = 958, x2 = 157, s1 = 77, s2 = 88. The sample size is 478 for both samples. Find the 85% confidence interval for μ1 - μ2. 781 < μ1 - μ2 < 821 800 < μ1 - μ2 < 802 794 < μ1 - μ2 < 808 793.2946 < μ1 - μ2 < 808.7054
General
2 months ago
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