Answer: 1.091 which is approximately 1 word per second
Step-by-step explanation:
Jack can text 180 words in 2 minutes and 45 seconds. We would convert 2 minutes to seconds
60 seconds = 1 minute
x seconds = 2 minutes
x = 2×60 = 120 seconds
2 minutes 45seconds = 120+45 = 165 seconds
This means Jack can text 180 words in 165 seconds
Let's find his unit rate in texts per second
if jack texts 180 words in 165 seconds
Then jack texts y words in 1 second
165y = 180
y = 180/165= 1.091 words per second
This is approximately 1 word per second
Answer:
see below
Step-by-step explanation:
The exponent rules that apply are ...
(a^b)(a^c) = a^(b+c)
a^-b = (1/a)^b
(a^b)^c = a^(b·c)
_____
These let you rewrite the given function as ...
f(x) = (3^(2x))(3^1) = 3(3^(2x)) = 3(3^2)^x = 3·9^x
and
f(x) = 3^(2x+1) = (3^-1)^(-(2x+1)) = (1/3)^-(2x+1)
Answer: -1
Step-by-step explanation:
1 - (-3) - 5 = 1 + 3 - 5
Thats because subtracting by a negative number is the same as adding the negative number's absolute value (Distance away from zero).
(1 + 3) - 5 = -1
PEMDAS Addition and Subtraction from left to right.
Answer:
2
Step-by-step explanation:
For any positive numbers a,b we always have the following identity:
(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)
In our case, we are given that 
and that 
. Plugging that in into our identity, we get:
And so solving for 
:
A = $ 1,721.28
A = P + I where
P (principal) = $ 1,500.00
I (interest) = $ 221.28
