Answer:
213 books
Step-by-step explanation:
Paper books = $1.45 each
$ 1.45 = 1 paper book
$ 1 = 1/1.45 paper book
$98.6 = 98.6/1.45 paper books
$ 98.6 = 68 paper books
Hardback books = $ 2.25 each
$2.25 = 1 Hardbook
$1 = 1/2.25 hardbook
$ 328.10 = 328.10/2.25 hardbooks
$ 328.10 = 145.822 hard books
Number of books cannot be a decimal number, so the value has to be estimated to a nearer whole number.
$ 328.10 = 145 hard books
Total number of books bought = (145 + 68)books= 213 books (Answer)
9514 1404 393
Answer:
128 miles
Step-by-step explanation:
The convict has a head start of ...
distance = speed × time
distance = (8 mi/h) × (14 h) = 112 mi
That distance is being closed at a rate that is the difference between the speeds, so ...
64 mi/h -8 mi/h = 56 mi/h
The time it takes the guards to catch the convict will be ...
time = distance/speed
time = (112 mi)/(56 mi/h) = 2 h
The guards and prisoner will be at a distance from the prison of ...
distance = speed × time
distance = (64 mi/h)(2 h) = 128 mi
The convict will be caught 128 miles from the prison.
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<em>Check</em>
The convict will run an additional (8 mi/h)(2 h) = 16 mi after the guards start pursuit. That, in addition to the 112 miles already run, will total 112+16=128 miles, the same distance the guards travel in that 2 hours.
Product rule:
Power rule:
The exponential function is its own derivative:
Assuming the base of 
is 
, its derivative is
But if you mean a logarithm of arbitrary base 
, we have
So we end up with
Answer:
(3m2n4)^3
Step-by-step explanation:
This deals with raising to a power.
(3m2 • (n4))3
m2 raised to the 3 rd power = m( 2 * 3 ) = m6
n4 raised to the 3 rd power = n( 4 * 3 ) = n12
