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The table represents a function.A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.What is f(5)?–8–118
General
4 months ago
The water level of a lake fell by 1 1/4 in. during a 1 1/2 week long drought what is the average rate at which the water level changed every week
General
4 months ago
Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The plant's height is 37 centimeters, and it grows at a rate of 0.004 centimeter per hour of sunlight. If the number of hours of sunlight is represented by the variable s, which function can represent the height of the plant? A.S(h) = 0.004h – 37 B.F(h) = 37h + 0.004 C.F(s) = 0.004s + 37
General
4 months ago
I need question a and b done pls help
General
4 months ago
Let f(x)= 1/x and g(x)=x^2+5x.a. Find (f*g)(x)b. Find the domain and range of (f*g)(x)
General
4 months ago
The formula P equals F over A, where P = pressure, F = force, and A = area, is used to calculate pressure. Solve this formula for F. F = P − A F = P + A F equals P over A F = PA
General
4 months ago
Lines x and y are parallel.Use the diagram to determine the measure of the unknown angle.m∠1 = (6x + 8)°m∠1 = 74°1. What is the value of x? _____ Options: 11, 16, 22, 31.2. What is the measure of ∠2? (7x - 2)° + m∠2 = 106°m∠2 = ____° Options: 21, 27, 31, 37.
General
4 months ago
Brad has $10 to spend at Ruby's. He orders pound of sausage and 11 pounds ofchicken. How much money will Brad have left after he pays for this order?
General
4 months ago
Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0 (x + Δx)2 − 3(x + Δx) + 2 − (x2 − 3x + 2) Δx
General
4 months ago
In a study of the accuracy of fast food drive-through orders, Restaurant A had 295 accurate orders and 55 that were not accurate. a. Construct a 95% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part (a) to this 95% confidence interval for the percentage of orders that are not accurate at Restaurant B: 0.138less thanpless than0.211. What do you conclude? a. Construct a 95% confidence interval. Express the percentages in decimal form.
General
4 months ago
Number of Text Messages a Day A random sample of n = 755 US cell phone users age 18 and older in May 2011 found that the average number of text messages sent or received per day is 41.5 messages,32 with standard error about 6.1. State the population and parameter of interest. Use the information from the sample to give the best estimate of the population parameter. Find and interpret a 95% confidence interval for the mean number of text messages.
General
4 months ago
In the Legal Eagle law firm, 68% of the lawyers are male while 32% are female. Of the male lawyers, 44% are corporate lawyers and 56% are non-corporate lawyers. Of the female lawyers, 29% are corporate lawyers and 71% are non-corporate lawyers. If a lawyer is chosen at random and they are not a corporate lawyer, calculate the probability that they are female. Give your answer as a decimal to 2 decimal places. Probability = Submit answers Bookmark
General
4 months ago
Consider the expression 11^n.a. Calculate 11^n, where n = 0, 1, 2, 3, 4.b. What pattern do you notice in the successive powers?c. Use the binomial theorem to demonstrate why this pattern arises.d. Use a calculator to find the value of 11^5. Explain whether this value represents what would be expected basedon the pattern seen in lower powers of 11.
General
4 months ago
Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows a compounded continuously model, we can determine the amount of substance left in Alexander Litvinenko's body at any given time. If Polonium-210 has a decay rate of .502%, then determine the amount of Polonium-210 left in his body after 85 days
General
4 months ago
Amy is analyzing a job offer. Amy’s Salary AnalysisAnnual SalaryBenefitsAverage Monthly RentAverage Monthly Utility Costs$48,500401K matched up to $2,500/year,$5,000 in bonuses$1,100$200How much income with benefits can she expect?
General
4 months ago
An airplane is flying at a steady elevation of $14,500 feet. The pilots of the airplane are informed they are approaching a storm, and they will need to ascend to an elevation of $33,000 feet to avoid flying through the storm. As soon as the pilots received the information about the storm, they immediately began to ascend at a constant rate. After $2 minutes, the airplane reached an elevation of $17,000 feet. Part A Write an equation that could represent the airplane's ascent to the elevation necessary to avoid flying through the storm. Use $t to represent the amount of time, in minutes, spent ascending. Respond in the space provided.
General
4 months ago
[HELP ASAP]Look at the figure shown below: RQ is a segment on which a perpendicular bisector PS is drawn. S is the midpoint of RQ. Which step should be used to prove that point P is equidistant from points R and Q? (1 point) A If any one side and any one common angle are congruent in triangles PQR and PRS, then their corresponding sides are also congruent. B. If two sides and one included angle are congruent in triangles PQS and PRS, then their third sides are congruent. C. In triangles PQR and PQS, if one side and one angle are congruent, then their corresponding sides and angles are also congruent. D. In triangles PRS and PQS, all three angles are congruent.
General
4 months ago
Sketch the graph of each rational function showing all the key features. Verify your graph by graphing the function onthe graphing calculator.1. f(x) = 4x − 6 / 2x + 5
General
4 months ago
An experiment consists of tossing a penny, a nickel and a dime. Of interest is the side the coin lands on. (a) How many elements are there in the sample space? (b) Let A be the event that there is at least one head and at least one tail. P(A) = Round your answer to two decimal places. (c) Let B be the event that the first and second tosses land on tails. Are the events A and B mutually exclusive? (yes or no)
General
4 months ago
An animal shelter spends $2.00 per day to care for each cat and $7.00 per day to care for each dog. Brooklyn noticed that the shelter spent $82.00 caring for cats and dogs on Friday. Brooklyn found a record showing that there were a total of 26 cats and dogs on Friday. How many cats were at the shelter on Friday?
General
4 months ago
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