Important: Please express fractions properly: use the " / " symbol to represent division. Your question should read:
"<span>A Mallard duck flies 5/6 of a mile in 1/60 of a hour. Find the rate (speed) at which it flies."
To do this, divide the distance flown by the elapsed time:
5
5/6 mile -----
----------------- = -------6------------- miles / hr
1/60 hour </span>
1
-----
60
to divide 5/6 by 1/60, write 5/6 and multiply that by the reciprocal of 1/60.
In other words, write 5/6, invert (1/60) and then multiply.
This comes out to (5)(60)
---------- mph
(6)(1)
Do not multiply here. Instead, reduce 60/6 to 10/1.
Can you now write out the final answer, in mph? (miles per hour)
Answer:
y = 4 or y = 6
Step-by-step explanation:
2log4y - log4 (5y - 12) = 1/2
2log_4(y) - log_4(5y-12) = log_4(2) apply law of logarithms
log_4(y^2) + log_4(1/(5y-12)) = log_4(/2) apply law of logarithms
log_4(y^2/(5y-12)) = log_4(2) remove logarithm
y^2/(5y-12) = 2 cross multiply
y^2 = 10y-24 rearrange and factor
y^2 - 10y + 24 = 0
(y-4)(y-6) = 0
y= 4 or y=6
Answer:
The ferris wheel has a maximum capacity of 64, the domain is [0,64]
Step-by-step explanation:
Given in the question that,
the maximum number of people that can seat on the ferris wheel = 64
the minimum number of people that can seat on the ferris wheel = 0
Function to calculate the amount of money
M(p)=2p
Value of p can be any integer from zero to 64 so the domain of this function is
0 ≤ x ≤ 64
Answer:
7a²/16
Step-by-step explanation:
Area of the triangle PTS
½ × a × a
a²/2
Length of PS:
sqrt(a² + a²)
asqrt(2)
Length of MS:
¼asqrt(2)
Triangles MCS and TPS are similar
With sides in the ratio:
¼asqrt(2) : a
sqrt(2)/4 : 1
Area of triangle SMC:
A/(a²/2) = [(sqrt(2)/4)]²
2A/a² = 1/8
A = a²/16
Area of PTMC
= a²/2 - a²/16
= 7a²/16
Step-by-step explanation:
