Given:
The height of a golf ball is represented by the equation:

To find:
The maximum height of of Anna's golf ball.
Solution:
We have,

Differentiate with respect to x.


For critical values,
.




Differentiate y' with respect to x.


Since double derivative is negative, the function is maximum at
.
Substitute
in the given equation to get the maximum height.




Therefore, the maximum height of of Anna's golf ball is 6.25 units.
Answer:
0.4 , 0.1
Step-by-step explanation:
Let number of boys be = b , number of girls = b + 4 . As total students = 20 b + b + 4 = 20 → 2b + 4 = 20 → 2b = 20 - 4 = 16 → b = 16 / 2 = 8 (boys) , so girls = 12
Prob (a random first child is a boy) = boys / total students = 8 c 1 / 20 c1, or = 8 / 20 = 0.4
Prob ( a 'Tina' out of two Tina is the last) = 2 c 1 / 20 c 1 , or = 2 / 20 = 0.1
Answer:
268 students are absent
Step-by-step explanation:
First, multiply 775 by (8/25) to get the number of students out from the virus (probably weren't wearing masks or 6 ft apart from each other). This gives you 248 students. You also know that an additional 20 students are out due to other reasons. Add 248 and 20 and you get a total of 268 absent students.
Last week, Christopher drove 480 miles
This week, Christopher drove 360 miles
The difference in miles this week compared to last week = 480 - 360 = 120 miles.
The percentage of decrease in miles compared to last week's = (Difference in miles ÷ Total miles last week) multiplied by 100 = (120 ÷ 480) x 100 = 0.25 x 100 = 25%