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There was a party with 50 students. They had a cylinder root beer keg that was 17 inches in height and 13 inches in diameter. They also had cylinder cups to drink the root beer out of, they were 3 inches in diameter and 4 3/4 inches tall. Would there be enough root beer for everyone to have at least one cup?
General
2 months ago
What is the distance between (6, 2) and (-3, -2)?935
General
2 months ago
Felicity set the thermostat in her living room to 68°F. The room temperature t, in degrees Fahrenheit, m minutes after the thermostat is activated, satisfies t = 2cos(0.21m) + 68. Determine the period of the function and explain what it represents. Include the maximum and minimum temperatures in your answer.
General
2 months ago
Answer question please
General
2 months ago
What is the slope and the y-intercept of the line on the graph below?
General
2 months ago
Match each algebraic expression with the method to use for factoring.
General
2 months ago
need help with this question.
General
2 months ago
can someone please help me with equating coefficients?(x+4)(ax^2 + bx + c) = -2x^3 -7x^2 + 3x -4
General
2 months ago
Which is greater 4 P 3 or 4 C 3?
General
2 months ago
Find the perimeter and the area of the composite figurea. What is the approximate perimeter of the concrete region? Use 3.14 for πb. What is the exact area of the concrete region? Leave answers in terms of π.
General
2 months ago
If $1900 earned simple interest of $56.28 in 6 months, what was the simple interest rate? The simple interest rate is % (Do not round until the final answer. Then round to the nearest tenth as needed.)
General
2 months ago
In Exercises 15-22, change the number given as a percent to a decimal number. 15. 7% 0.07 18, 0.75% 0.0075 212 135.9% 1.359 17, 5.15% 00515 16.39% 0.39 19, %00025 22, 298.7% 2.987 20. % 0.00375 27.
General
2 months ago
If $1600 earned simple interest of $56.24 in 2 months, what was the simple interest rate? The simple interest rate is % (Do not round until the final answer. Then round to the nearest tenth as needed.)
General
2 months ago
You wish to prove that three propositions p1, p2, and p3 are equivalent. will it suffice to show that p1 --> p2, p2 --> p3, and p3 --> p1? justify your answer
General
2 months ago
A bacteria culture starts with 200 bacteria and grows at a rate proportional to its size. After 6 hours there will be 1200 bacteria (1) Express the population after I hours as a function of t. population: p(tepe (1.066-21) (unction of t) (b) What will be the population after 7 hours? 348125.2 (c) How long will it take for the population to reach 1750 ? Note: You can earn partial credit on this problem.
General
2 months ago
Initially tank I contains 100 litres of salt brine with a concentration of 1 kilogram per litre, and tank II contains 100 litres of water. Liquid is pumped from tank I into tank II at a rate of 1 litre per minute, and liquid is pumped from tank II into tank I at a rate of 2 litres per minute. The tanks are kept well stirred. Let A1 be the amount of salt in kilograms in tank I and A2 be the amount of salt in pounds in tank II.(a) Calculate A1(t) and C1(t). For which range of values of t are the expression for A1(t) and C1(t) valid?(b) What is the concentration in tank I after 10 minutes?
General
2 months ago
Given a set Ω, let P(Ω) denote the the power set of Ω, that is P(Ω) is the collection of all subsets of Ω. Prove that Ω and P(Ω) do not have the same cardinality. Hint: Given a function Φ : Ω → P(Ω), consider the set X := {ω ∈ Ω : ω /∈ Φ(ω)}.
General
2 months ago
The data below represents the number of T-shirts sold per week by a student who started his own online t-shirt business. Find the weighted mean of the number of t-shirts sold per week. (Round your answer to the nearest tenth if necessary.)T-Shirts Sold per Week Frequency2 14 46 78 3
General
2 months ago
Prove that for all x and y in Z, x +3y is a multiple of 7 iff 3x +2y is a multiple of 7. Might be helpful to calculate 2(3x +2y)+(x +3y) and/or 4(x +3y)+(3x +2y).
General
2 months ago
A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, write down a differential equation connecting y and the time t. 2. If the rate of increase of the number is initially 100 per hour, how many bacteria are there after 2 hours? Solution:
General
2 months ago
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