So we need to find the sum of the first 5 terms.
You have told me that the first term is 10 meters, and that r = 0.5 per term.
With this knowledge, we can use the formula s_n=a₁((1-r^n)/(1-r)).
Plugging in the terms that we know...
s₅=10((1-0.5⁵)/(1-0.5))
s₅=10(0.96875/0.5)
s₅=10(1.9375)
s₅=19.375
With s₅, we can determine that the ball has traveled a total of 19.375 meters after 5 bounces.
Answer:
20, 60, 15
Step-by-step explanation:
Let the third number be n, then
The first number is n + 5 and the second number is 4n
Sum the 3 numbers and equate to 95, that is
n + 5 + 4n + n = 95 ← collect like terms on left side
6n + 5 = 95 ( subtract 5 from both sides )
6n = 90 ( divide both sides by 6 )
n = 15
Thus
The first number is 15 + 5 = 20
The second number is 4 × 15 = 60
The third number is 15
Answer:
D
Step-by-step explanation:
the triangle has reflected across either x-axis or p-axis. If across x-axis, the triangle needs to translate left and then up (no option for this).
Answer:
The number c is 2.
Step-by-step explanation:
Mean Value Theorem:
If f is a continuous function in a bounded interval [0,4], there is at least one value of c in (a,b) for which:
In this problem, we have that:
So 
----------
The number c is 2.
Answer:
y=92
Step-by-step explanation:
Divided both sides by the numeric factor on the left side, then solve.
y = 92
