2 significant digits should be represented in the product
Equal because 30 is the median and when you find the mean, it is also 30. Please give brainliest!
The maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,
<h3>How to determine the difference?</h3>
The function is given as:
f(x) = -0.5x^2 + 5x - 6
Differentiate the function
f'(x) = -x + 5
Set to 0
-x + 5 = 0
Make x the subject
x = 5
Substitute x = 5 in f(x)
f(5) = -0.5 * 5^2 + 5 * 5 - 6
f(5) = 6.5
The table is not given.
Hence, the maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,
Read more about quadratic functions at:
brainly.com/question/18797214
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer:
485297
Step-by-step explanation:
