A) 2^(x+3)= 4^(2x)
make base number the same
2^(x+3)= 2^2 (2x)
set the exponents equal to eachother
x+3=2 (2x)
x+3=4x
-x both sides
3=3x
÷3 both sides
x=1
b) 16^(1/5)×2^(x)=8^(3/4)
make base same number
2^4 (1/5)×2^(x)=2^3 (3/4)
2^(4/5)×2^(x)=2^(9/4)
set exponents
4/5 +x=9/4
-4/5 both sides
x= 29/20
Answer:
About 158 times
Step-by-step explanation:
Represent the rate of human heart with H and sparrow's heart with S


Required
Determine how many times faster is S than H
To do this, we simply divide S by H i.e.



--- approximated
<em>Hence, the sparrow's heart beats about 158 times faster than the human hearts</em>
a) All three athletes accelerated because the slope of every line in the beginning in positive.
b) Dash decelerated towards the end because the slope of the line representing him becomes negative.
c) Flash maintained a constant speed because the slope of his line does not change.
d) Krash's line is horizontal because he did not move for that time.
e) Flash won the race because his line reaches 100 first.
Mixed number form :- 2 9/40
Decimal :2.22
Exact form :89/40
Answer:
Step-by-step explanation:
Number of tickets for international flights = 36
Total number of tickets = 95
The probability that a randomly selected airline ticket is for an international flight = 36 / 95 = 0.3789
The probability that a randomly selected airline ticket is for an international flight as a percent rounded to the nearest tenth of a percent = 0.3789 x 100 = 37.9%
% of males surveyed = 0.236 + 0.218 = 0.454 = 45.4%
% of males surveyed who prefer chicken = 0.236 out of 0.454 = 0.236 / 0.454 = 0.5198 = 51.58% = 52.0%
<em>hope this helps~</em>