• A rectangular area adjacent to a river is fenced​ in; no fence is needed on the river side. The enclosed area is 1500 square feet. Fencing for the side parallel to the river is $ 10 per​ foot, and fencing for the other two sides is $ 3 per foot. The four corner posts are $ 20 each. Let x be the length of one of the sides perpendicular to the river.a) Write a function C(x) that describes the cost of the project.b) What is the domain of C?

  General

  8 months ago

• Rewrite the equation −5x2+3x+5y2+5y−3z2+4z+12=0 −5x2+3x+5y2+5y−3z2+4z+12=0 in cylindrical and spherical coordinates. NOTE: write any greek letters using similar standard characters - i.e., for θθ use t, for rhorho use r, for ϕϕ use f, etc.

  General

  8 months ago

• A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200) is 30% in children 2-6 year of age. If 12 children are analyzed:a.What is the probability that at least 3 are hyperlipidemic?

  General

  8 months ago

• A private plane traveled from Seattle to a rugged​ wilderness, at an average speed of 312312 mph. On the return​ trip, the average speed was 364364 mph. If the total traveling time was 44 ​hours, how far is Seattle from the​ wilderness?

  General

  8 months ago

• Find a numerical value of one trigonometric function of x for cos^2x+ 2sin x-2=0

  General

  8 months ago

• The acceleration due to gravity, g, is given by g=GMr2, where M is the mass of the Earth, r is the distance from the center of the Earth, and G is the uniform gravitational constant. (a) Suppose that we increase from our distance from the center of the Earth by a distance Δr=x. Use a linear approximation to find an approximation to the resulting change in g, as a fraction of the original acceleration: Δg≈ g× (Your answer will be a function of x and r.) (b) Is this change positive or negative? Δg is (Think about what this tells you about the acceleration due to gravity.) (c) What is the percentage change in g when moving from sea level to the top of Mount Elbert (a mountain over 14,000 feet tall in Colorado; in km, its height is 4.29 km; assume the radius of the Earth is 6400 km)? percent change =1

  General

  8 months ago

• A marketing firm is studying consumer preferences for winter fashions in four different months. From a population of women, 18-21 years of age, a random sample of 100 women was selected in January. Another random sample of 100 women was selected in March. Another random sample of 100 women was selected in June. Another random sample of 100 women was selected in September. A) The sample size was 4. B) The sample size was 100. C) The sample size was 400. D) The sample size was 1.

  General

  8 months ago

• Dullco Manufacturing claims that its alkaline batteries last at least 40 hours on average in a certain type of portable CD player. But tests on a random sample of 18 batteries from a day's large production run showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours. To test DullCo's hypothesis, the test statistic is:Select one:a. -2.101b. -1.980c. -1.960d. -1.728

  General

  8 months ago

• There are two misshapen coins in a box; their probabilities for landing on heads when they are flipped are, respectively, .4 and .7. One of the coins is to be randomly chosen and flipped 10 times. Given that two of the first three flips landed on heads, what is the conditional expected number of heads in the 10 flips?

  General

  8 months ago

• the jurassic zoo charges $5 for each adult and $3 for each child the total bill for the people from school trip was $420 how many adults and how many child went to the zoo

  General

  8 months ago

• A student wondered if more than​ 10% of students enrolled in an introductory Chemistry class dropped before the midterm. He noticed that 2 out of 15 of his friends in the class dropped before the midterm. Based on his​ sample, he performed a hypothesis test. Is the hypothesis test a​ one-tailed or​ two-tailed test?Choose the correct answer below.A.It is a​ two-tailed test since the null hypothesis states that the parameter is not equal to the hypothesized valued.B.It is a​ two-tailed test since the alternative hypothesis states that the parameter is not equal to the hypothesized value.C.It is a​ one-tailed test since the alternative hypothesis states that the parameter is greater than the hypothesized value.D.It is a​ one-tailed test since the alternative hypothesis states that the parameter is not equal to the hypothesized value.E.It is a​ two-tailed test since the alternative hypothesis states that the parameter is greater than they hypothesized value.

  General

  8 months ago

• How do you even do these? Can someone help, literally clueless. I would really appreciate answers and an explanation. Thank you! :)

  General

  8 months ago

• The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. By what percent would the area of the rectangle change if the width of the rectangle is increased by 50% and the length is increased by the same number of units?

  General

  8 months ago

• If [tex]sin\theta = \frac{1}{3}[/tex] , [tex]\frac{\pi }{2} \ \textless \ \theta \ \textless \ \pi[/tex]. Find the exact value of [tex]sin (\theta + \frac{\pi }{6})[/tex]

  General

  8 months ago

• Design a rectangular milk carton box of width $$w, length $$l, and height $$h, which holds $$128 cubic cm of milk. The sides of the box cost $$1 cent per square cm and the top and bottom cost $$2 cents per square cm. Find the dimensions of the box that minimize the total cost of materials used.

  General

  8 months ago

• MaryAnn is printing pictures from her recent trip to Europe. An online print shop charges $0.15 per4x6 inch print, along with a flat rate shipping charge of $3.00. If MaryAnn has $35 to spend, howmany prints can she order?

  General

  8 months ago

• when the polynomial f(x) is divided by (x-2) the remainder is 4, and when it is divided by (x-3) the remainder is 7. Given that f(x) may be written in the form f(x)= (x-2)(x-3)Q(x)+ax+b, find the remainder when f(x) is divided by (x-2)(x-3). If also f(x) is a cubic function in which the coefficient of x^3 is unity and f(1)=1, determine Q(x)​

  General

  8 months ago

• Solve for x: 3x−8≤23 OR −4x+26≥6

  General

  8 months ago

• Arica can run 1/6 of a kilometer in a minute her school is 3/4 A kilometer away from her home At this speed how long will it take Erica to run from home to school

  General

  8 months ago

• Compute the work done by the force F = sin(x + y), xy, (x^2)z> in moving an object along the trajectory that is the line segment from (1, 1, 1) to (2, 2, 2) followed by the line segment from (2, 2, 2) to (3, 6, 8) when force is measured in Newtons and distance in meters.

  General

  8 months ago