Answer: I can't do ratios, Sorry!
Step-by-step explanation:
How many different three colour flags (tricolors) can be designed using
green, blue, red, yellow and black stripes if all three colours must be
different?
6P3 = 6!/(6 - 3)! = 6!/3! = (6 x 5 x 4 x 3 x 2 x 1)/(3 x 2 x 1) = 720/6 = 120 flags.
How many of them contain a red stripe?
The remaining two colours can be arranged in 5P2 = 5!/(5 - 2)! = 5!/3! = (5 x 4 x 3 x 2 x 1)/(3 x 2 x 1) = 120/6 = 20ways
The red stripe can arranged in 3 ways
Therefore, number of flags having red stripe is 20 x 3 = 60 flags.
Answer:
The answer is 16 pints which is answer A
Step-by-step explanation:
Exponential functions for the following example will be given as follows:
a] <span>A town with an initial population of 2,000 doubling in size every 10 years.
solution:
The exponential function for this example will be:
f(t)=ab^(nt)
where:
a=initial size
b=growth rate
t=time
n=number of terms
thus plugging in our values we obtain:
f(t)=2000(2)^t/10
b]</span><span>A car rental that cost $20 a day plus $0.05 per mile.
This example will follow a linear equation of the form y=ax+b, where a=rate,
b=constant amount.
From our example:
a=$0.05 per mile
b=20 dollars per day
x=number of miles
Thus the function will be:
f(x)=0.05x+20
c] </span><span>A bank account with a starting balance of $1,000 compounded annually at 5%.
</span>Here we shall use the compound interest formula to obtain our value:
FV=P(1+r/100)^t
where:
FV=future value
P=principle amount
r=rate
t=time
thus, plugging in our value in the equation we obtain:
P=$1000; r=5%, time=t
f(t)=1000(1+5/100)^t
f(t)=1000(1.05)^t
Hence the function representing the case is:
f(t)=1000(1.05)^t
d] <span>A sugar processing plant producing 2 tons of sugar per month.
This will be modeled using linear function, such that the total will be given by:
f(x)=2x
where:
x is the number of months:
thus the cases that are best modeled by exponential function is:
A and C
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Answer:
Step-by-step explanation:
how stressed are you? if it goes up that means you are more stressed if it goes down you are less stressed for example mine would be the 3rd answer because my week has been pretty normal. someone who just started school and has a lot of work might be the 1st one. my explanation would be i have gotten somewhat stressed due to school but not too much. elaborate more than me tho lol hope this helps :)
