In how many ways can 3 novels and 4 mathematics books and 2 chemistry books be arranged on a book shelf if the novels must be together but the other books can be arranged in any order?

15120

Step-by-step explanation:

n=novels     m=math books      c=chemistry

since the novels must be together we can treat it as 1 object

that makes it 7 objects in total so it would be 7!*3=15120

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: