5,6
55,56
65,66
555,556,565,566
655,656.665.666
Looks like there are 14 numbers that use only the digits 5 or 6 or both 5 or 6 that are under 1000.
Answer:
<h3>The answer is option B</h3>
Step-by-step explanation:
Equation of a circle is given by
( x - h)² + ( y - k)² = r²
where r is the radius and
( h , k) is the center of the circle
From the question the radius R = 1/3
the center ( h ,k ) = (4/3 , -8/3)
Substituting the values into the above equation
We have

We have the final answer as

Hope this helps you

<u>First Train:</u>
Time taken = 9 hours (2pm to 11pm)
Let the speed be x
Distance = Time x Speed = 9x
<u>Second Train:</u>
Time taken = 5 hours (6pm to 11pm)
Speed = x + 48
Distance = Time x Speed = 5(x + 48)
Since both the distance they traveled are the same, we equate the distance to solve for x.
<u>Solve for x:</u>
9x = 5(x + 48)
9x = 5x + 240
4x = 240
x = 60
<u>Find the speed:</u>
x = 60 mph
x + 48= 108 mph
Answer: The spend of the two trains are 60 mph and 108 mph.
Use the kinematics equation:
v1^2-v0^2=2as
since v1=0 (at height of 81 ft), and a=g=-32.2, substitute values:
0-v0^2=2*(-32.2)(81 ft)
Solve for v0
v0=sqrt(2*32.2*81)=72.2 m/s
Answer:
f(g(x))(-1) = 0
Step-by-step explanation:
Step 1: Find f(g(x))
5(x + 3) - 10
5x + 15 - 10
5x + 5
Step 2: Plug in -1
5(-1) + 5
-5 + 5
0