Given triangle EFG, select the graph of image E ′F ′G ′ and confirm that it preserves length and angle measures. (x, y) → (x-3, y+5) EF = E ′F ′ = ? , FG = F ′G ′ = ? , and GE = G ′E ′ = ? m∠F = m∠F ′ = ? °, m∠E = m∠E ′ = ? °, and m∠G = m∠G ′ = ? ° Please HELP!

Aculture started with 3000 bacteria. after 5 hours it grew to 3900 bacteria. predict how many bacteria will be present after 9 hours

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10

Acollection of nickels and quarters is worth $2.85. there are 3 more nickels than quarters. how many nickels and quarters are there?