Answer:
x<110
Step-by-step explanation:
-x/10>-11
-x>-11*10
-x>-110
x>110
x<110
Answer:
Total number of students receiving A grade = 75
Step-by-step explanation:
Total number of students enrolled in elementary algebra this year =300
Percentage of students receiving a grade of A = 25%
To find number of students that will receive a grade of A.
Solution:
In order to find the number of students that will receive a grade of A, we will find the percentage students receiving A grade of the total number of the student.
Number of students receiving A grade = 
⇒ 
Writing 25% as fraction and multiplying.
⇒ 
⇒ 
⇒ 
∴ Total number of students receiving A grade = 75 (Answer)
Answer:
Step-by-step explanation:
Given that rectangle has side length 23x13 feet.
When squares of side x are cut from all the four sides we have dimensions as
23-2x and 13-2x and height x
Volume 

Use derivative test
First derivative V'(x) 
Equate I derivative to 0
We get approximate value of x = 2.671, 9.329
Since width is 13 feet it cannot be 9.329
Hence x = 2.671
V"(x) = -80 <0
So maximum volume is

Answer:
Step-by-step explanation:
Find AOS
X = -b/2a
X = -65/2(-14)
X = -65/-28
X = 2.32 secs
t = 2.32secs
A) y value when t = 2.32 is the maximum height.
Substitute t in the equation.
h(t)= -14t^2+65t+1.75
h(t)= (-14 * 2.32²) + (65 * 2.32) + 1.75
= (-14 * 5.38 ) + (65 * 2.32) + 1.75
= -75.35 + 150.8 + 1.75
= 77.2 ft
Maximum height attained by the ball = 77.2 ft
B) Time the maximum height achieved = 2.32secs
C) The ball off of the ground when it was shot is well t = 0
Substitute t in equation
h(t)= -14t^2+65t+1.75
h(0)= (-14 * 0²) + (65 * 0) + 1.75
= 0 + 0 + 1.75ft
The ball is 1.75ft off the ground when it was shot.
Answer:
30 in^2
Step-by-step explanation:
get sides: 15, 18
multiply sides by 1/3: 5, 6
get area of square: 5*6= 30