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MATH SOLVE
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Apply the properties of exponents to rewrite each expression in the form kkxxnn, where nn is an integer and x ≠0 (x^2/4x^−1)^−3
General
2 months ago
Let f(x) = log(x). Find a value for a such that f(2a) = 2f(a). Is there one? Show work to justify your answer.
General
2 months ago
A 36 inch board is cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece. If X represents the length of the first piece, find the lengths of all three pieces
General
2 months ago
over the next 30 years,some estimates place the worlds population going from roughly 7.2 billion people in the world to 10 billion in 2050. Currently, global food consumption equals around 3000 kilo-calories per person, per day and as global prosperity increases that number is expected to rise to roughly 3500 kilocalories person per day. Counting no other costs other than the cost of production (and this means costs to transport,land use costs, CO2 production,water use,ect), lets say it costs us 1 pollution unit to produce 1000 kilo-calories of food today. What is the current impact in pollution units per day to feed the planet?
General
2 months ago
Create a table to find the third differences for the polynomial s^3 − s^2 +s for integer values of ss from −3 to 3.
General
2 months ago
Create a table to find the second differences for the polynomial 36 − 16t^2 for integer values of t from 0 to 5.
General
2 months ago
i require assistance once again.
General
2 months ago
Compare the domains of the logarithmic function f(x) and the square root function g(x).In two or more complete sentences, explain whether or not the domains of the two functions are the same.
General
2 months ago
Is the product of 4 X 9 even or odd?
General
2 months ago
maria is painting her bedroom. she has 4 2/3 gallons of paint. she needs 3/4 gallon for the trim and 3 1/2 gallons for the walls. does she have enough paint to paint her bedroom? 5. maria has a piece of molding 22 5/8 feet long. she used 8 2/3 feet for one wall in the bedroom. does she have enough molding for the other wall , which is 12 1/2 feet long?
General
2 months ago
A researcher measures IQ and weight for a group of college students. What kind of correlation is likely to be obtained for these two variables?a) a positive correlationb) a negative correlationc) a correlation near zero*d) a correlation near one
General
2 months ago
Two new mathematics learning techniques are being tested. The researchers are unsure which one, if any, will be better. Two hundred students were randomly selected from a population. Ninety of them were randomly assigned to use Technique A, and 110 of them were randomly assigned to use Technique BEach student spent 30 minutes learning the technique to which they were assigned, and then were asked to complete a task. The time to complete the task was recorded, in seconds. A shorter time indicates better mastery ofthe task. The data are below:Technique A: sample average = 26.1, sample SD = 7.2Technique B: sample average = 27.9, sample SD = 12.4(a) State hypotheses relevant to the research question.(b) Perform a test of the hypotheses from (a) using a significance level of 10%. Make sure to compute the test statistic and P-value, and make a conclusion in context.
General
2 months ago
An elevator can safely hold 3,500 lbs. A sign in the elevator limits the passenger count to 15. If the adult population has a mean weight of 180 lbs with a 25 lbs standard deviation, how unusual would it be, if the central limit theorem applied, that an elevator holding 15 people would be carrying more than 3,500 pounds? (Hint: if X is a random variable indicating a person’s weight, then assume X Normal( = 180; 2 = 252); use related d, p, q, and r functions to get the numerical answer.)
General
2 months ago
A 1000-liter (L) tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 50 g/L flows into the tank at a rate of Rin=80 L/minutes (min). The fluid mixes instantaneously and is pumped out at a specified rate Rout. Let y(t) denote the quantity of salt in the tank at time t. Assume that Rout=40L/min. (a) Set up and solve the differential equation for y(t). (b) What is the salt concentration when the tank overflows?
General
2 months ago
Suppose a random sample of n = 16 observations is selected from a population that is normally distributed with mean equal to 101 and standard deviation equal to 12. (a) Give the mean and the standard deviation of the sampling distribution of the sample mean x(with a line above). (Enter your standard deviation to two decimal places.)mean = standard deviation = (b) Find the probability that x(line above it) exceeds 107. (Round your answer to four decimal places.)Answer:(c) Find the probability that the sample mean deviates from the population mean μ = 101 by no more than 4. (Round your answer to four decimal places.)
General
2 months ago
Which of the following functions computes a value such that 2.5% of the area under the standard normal distribution lies in the upper tail defined by this value? ○ 0 ° ○ a.-NORMSINV(0.975) b.-NORM·S.INV(0.05) C.-NORM.S-INV(0.95) d.-NORMSINV(0.025)
General
2 months ago
Use pigeonhole principle to prove the following (need to identify pigeons/objects and pigeonholes/boxes): a. How many cards must be drawn from a standard 52-card deck to guarantee 2 cards of the same suit?Note that there are 4 suits b. Prove that if four numbers are chosen from the set {1, 2, 3, 4,5,6), at least one pair must add up to 7.
General
2 months ago
A group of 56 computer science students were taught introductory computer programming class with an innovative teaching method that used a graphical interface and drag-and-drop methods of creating computer programs. At the end of the class, 43 of these students said that they felt confident in their ability to write computer programs. Another group of 41 students were taught the same material using a standard method. At the end of class, 25 of these students said they felt confident. Assume that each class contained a simple random sample of students. Let pX represent the population proportion of students taught by the innovative method who felt confident and let pY represent the population proportion of students taught by the standard method who felt confident. Find a 99% confidence interval for the difference pX−pY . Round the answers to four decimal places.
General
2 months ago
A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.Question 1. Find the margin of error zsqrt(((p^^\^)((1-p^^\^)))/n), abbreviated ME, for this poll if we want 90% confidence in our estimate of the proportion of adults who believe in ghosts.ME=(Round to 3 decimal places.)Question 2. Find the margin of error needed to be 99% confident.ME= (Round to 3 decimal places.)
General
2 months ago
Given f(x)=2x^3+x^2-7x-6. Find all real and imaginary zeroes. Show your work.
General
2 months ago
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