Answer:
2.25 cups
Step-by-step explanation:
Answer:
20 Minutes
Step-by-step explanation:
First find out how many he eats per minute. 17/5 = 3.4
Then multiply 3.4 by all the answers until you get the right answer.
You can convert (1/625) to an exponent, and it would be ideal to have 5 as the base of it because you want your log base to cancel it out. what i usually do in this case is just test out 5^1, 5^2, etc until i find one that matches the number i need. in this case because the number you're trying to work with is a small fraction, you'll want to use NEGATIVE exponents so it'll create a fraction instead of a large whole number:
5^-1 = 1/5
. . . keep trying those. . .
5^-4 = 1/625
so, because they're equal to one another, it'll be waaay easier after you substitute 5^-4 in place of 1/625
x = log₅ 5⁻⁴
log base 5 of 5 simplifies to 1. subbing in the 5^-4 gets rid of the log for you altogether, and your -4 exponent drops down:
x = -4 is your answer
if the exponent dropping down doesn't make sense to you, you can think of it in another way:
x = log₅ 5⁻⁴
expand the expression so that the exponent moves in front of the log function:
x = (-4) log₅ 5
then, still, log base 5 of 5 simplifies to 1, so you're left with:
x = (-4)1 or x = -4
Answer:
see below
Step-by-step explanation:
We are given two points (3,4) and (0,1)
so we can find the slope
m = ( y2-y1)/(x2-x1)
= (1-4)/(0-3)
= -3/-3
= 1
The point slope form is
( y-y1) = m(x-x1)
y - (4) = 1 (x-3)
y - (4) = (x-3)
or using the other point
y - 1 = 1( x-0)
y - 1 = x
