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A model rocket is launched with an initial upward velocity of 151 ft/s. The rockets height "h" (in feet) after "t" seconds is given by the following. H=151t-16t squared.Find the values of "t" for which the rockets height is 88 feet.Round your answer to the nearest hundredth.
General
2 months ago
A new mixture of self-tanning & moisturizing lotions for everyday use is being developed. This mixture is made by mixing 700 ounces of everyday moisturizing lotion for $0.70 per ounce with self-tanning lotion worth $3 per ounce. If the new self-tanning & moisturizing lotion mixture is to cost $ 1.60 per ounce, how many ounces of the self-tanning lotion should be in the mixture?
General
2 months ago
A package delivery firm charges according to thepackage's weight. The charge is $1.10 for packagesweighing up to three ounces, inclusive. For packagesweighing more than 3 ounces and up to ten ounces,inclusive, the charge is $2.25. For packages weighingmore than ten ounces and up to fifteen ounces, inclusive,the charge is $3.35. For packages weighing more than fifteen ounces, the company has a different price setting.Let C(x) be the cost in dollars according to the package'sweight (x). write a piecewise-defined function thatrepresents the situation.
General
2 months ago
A biotechnology company produced 196 doses of somatropin, including 9 which were defective. Quality control test 10 samples at random, and rejects the batch if any of the random samples are found defective. What is the probability that the batch gets rejected?
General
2 months ago
A survey of magazine subscribers showed that 45.8% rented a car during the past 12 months for business reasons, 54% rented a car during the past 12 months for personal reasons, and 30% rented a car during the past 12 months for both business and personal reasons. What is the probability that a subscriber rented a car during the past 12 months for business or personal reasons? What is the probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons?
General
2 months ago
3. A coin is tossed four times and the resulting sequence of heads and/or tails is recorded. Define the events A, B, and C as follows: A: exactly two heads appear B: heads and tails alternate C: first two tosses are heads (a) Which events, if any, are mutually exclusive? (b) Which events, if any, are subsets of other sets?
General
2 months ago
In 2000, 55 % of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.7 % per year since then. Find a linear function in slope-intercept form that models this description. The function should model the percentage of residents, Upper P (x )comma who regularly used the news outlet x years after 2000.
General
2 months ago
On the planet LongLiveRock, there is a recessive condition known as WhoAreYou. People with this trait have an uncontrollable perform windmill guitar swings. The two alleles at the trait locus are labeled R (trait) and r (wild type). If the probability of transmitting an r allele is 0.54, then what is the probability that any child born to carrier parents will be unaffected (i.e., will not perform windmill guitar swings)?
General
2 months ago
Gregory can buy 4 pounds of wheat flour for $8 and 5 pounds of rye flour for $20. He has $12 to spend on a flourmixture. What linear equation in standard form can Gregory use to model the situation?
General
2 months ago
For this problem, involving a weighted die, assume that the outcomes 1 through 4 are equally likely, that the outcomes 5 through 6 are equally likely, and that outcome 1 is 3 times as likely as outcome 5.(1) What probability should be assigned to rolling a 4?(2) What probability should be assigned to rolling a 6?
General
2 months ago
A study was done to determine the average number of homes that a homeowner owns in his or her lifetime. For the 60 homeowners surveyed, the sample average was 4.2 and the sample standard deviation was 2.1. Calculate the 95% confidence interval for the true average number of homes that a person owns in his or her lifetime.A) (3.90, 4.50)B) (3.66, 4.74)C) (4.01, 4.39)D) (3.67, 4.73)
General
2 months ago
-4a+3=-5i need at step by step explanation
General
2 months ago
Chelsea makes $9.00 an hour working at Chick-Fil-A. She plans to buy some music for her phone and Air Pods that cost $278.10. Write an Inequality problem AND then solve the inequality that describes how long Chelsea will have to work to AT LEAST be able to buy the Air Pods. The answer should be to the nearest hour.
General
2 months ago
Choose the situation in which the use of exact numbers is appropriate. A) paying your power bill B) adding bacon bits to a salad C) buying hamburgers for a cookout D) ordering flyers to hand out at a political rally
General
2 months ago
Stephon is buying some snacks for his siblings at a convenience store. He wants to buy at least 6 items, but he has only $12 in his pocket. One bag of chips costs $2.25, and one candy bar costs $1.50. Which graph represents the number of bags of chips and candy bars Stephon can buy?
General
2 months ago
Which of the following values are zeros of f(x) = x³ – 8x² – 5x + 84? Select all that apply.
General
2 months ago
For the solution (x, y) to the system of equations, what is the value of x − y?7x + 3y = 86x − 3y = 5A) −43B) 23C) 43D) 223
General
2 months ago
Complete the coordinate proof of the theorem. Given: ABCD is a parallelogram. Prove: The diagonals of ABCD bisect each other. The coordinates of parallelogram ABCD are A(0, 0) , B(a, 0) , C(a+c, b) , and D( , ). The coordinates of the midpoint of AC¯¯¯¯¯ are ( a+c2 , ). The coordinates of the midpoint of BD¯¯¯¯¯ are ( , b2 ). The midpoints of the diagonals have the same coordinates. Therefore, the diagonals of ABCD bisect each other.
General
2 months ago
One serving of Gooey Gushers provides 12% of the daily value of vitamin C. Tim ate 312 servings of Gooey Gushers. a. Calculate 312⋅12% without using a calculator. Show your work. b. What question about the Gooey Gushers can you answer by calculating 312⋅12%?
General
2 months ago
Y = 2x^2-12x+25 write in vertex form plz show work
General
2 months ago
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