step 1First, see how many letters in MATHCOUNTS are also in TEACH.
M no
A yes
T yes
H yes
C yes
O no
U no
N no
T yes
S no
That is 5 out of the 10 letters.
so
<span>the probability=</span>5/10-------> 1/2
<span>
the answer is1/2</span>
Answer:
34
Step-by-step explanation:
i honestly don't care i came on here to cheat but it's saying answer so here you go :)
The nth term of the geometric sequence is:
an=ar^(n-1)
where
a=first term
r=common ratio
n=nth term
from the question:
120=ar(3-1)
120=ar^2
a=120/(r^2)....i
also:
76.8=ar^(5-1)
76.8=ar^4
a=76.8/r^4.....i
thus from i and ii
120/r^2=76.8/r^4
from above we can have:
120=76.8/r²
120r²=76.8
r²=76.8/120
r²=0.64
r=√0.64
r=0.8
hence:
a=120/(0.64)=187.5
therefore the formula for the series will be:
an=187.5r^0.8
Answer:
The inverse of the given function is . The time taken to travel 180 miles is 3.6 hours.
Step-by-step explanation:
It is given that a car travels at a constant speed of 50 miles per hour. A function for distance traveled is also given as d(t)=50t.
It is required to find the inverse of the function by expressing the time travel in terms of distance traveled and also find t(180).
To find the inverse, express time traveled in terms of distance traveled using normal algebraic methods and then substitute 180 for t and explain its results.
Step 1 of 2
The given function is d(t)=50t.
Consider d(t) as d and t as t(d) and rewrite the equation.
The rewritten function is d=50 t(d)
Divide by 50 on both sides of the equation.
Step 2 of 2
Substitute 180 for $t$ in the simplified expression and interpret the results.
The time taken to travel 180 miles is 3.6 hours.
Rate of growing, r = 91.2/90 = 1.013
Salary, f(x) = Initial salary * (r)^ (years from 2005)
f(x) = 90(1.013)^x.
This is the second option.