Answer:
8
Step-by-step explanation:
According to the Alternating Series Estimation Theorem:
│aₙ₊₁│≤ ε
1 / (4 (n + 1)⁴) ≤ 0.00005
4 (n + 1)⁴ ≥ 20000
(n + 1)⁴ ≥ 5000
n + 1 ≥ 8.41
n ≥ 7.41
n must be an integer, so n ≥ 8.
Answer:
y=6^x+0.612 - 4
Step-by-step explanation:
x = -4 ---> horizontal asymptote
m = 6 ---> use points (0, -1) and (1, 5)
Parent function of the graph: 
Our equation: 
Add alterations:
- Reflections = N/A
- Vertical & horizontal shifts = down 4
- Vertical & horizontal stretches = left approx 0.612
Final equation: y=6^x+0.612 - 4
Answer:
He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.
Step-by-step explanation:
After n consecutive serves, his total number of serves is going to be n+8, since he has already served 8 times. In the best case, his number of successful first serves is n+2.
His percentage of succesful first serves is the division of the number of succesful first serves divided by the total number of serves. So

We want
. So







He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.
Hey there! I'm happy to help!
To find the volume of a rectangular prism, you simply multiply each of the three different sides!
18×9×17=2754
Therefore, the volume of this rectangular prism is c. 2754 units cubed.
Now you can find the volume of a rectangular prism! Have a wonderful day!
Answer:
59
Step-by-step explanation:
Simplify the following:
5 + 9 (2 + 4)
2 + 4 = 6:
5 + 9×6
9×6 = 54:
5 + 54
5 + 54 = 59:
Answer: 59