Area as a function of width, w is:
a(w)=(w-25)^2+625
for maximum area, the width will be:
a'(w)=2(w-25)+0=0
solving for w we egt
2w-50=0
2w=50
w=25 m
given that the perimeter is 100, the length will be:
100=2(L+W)
solving for L we get:
L=50-W
but W=25m
hence
L=50-25=25 m
thus the maximum area will be:
A=L*W=25*25=625m^2
Answer:
(C) 3 feet
Step-by-step explanation:
We have a function of f(x) here. When Sarina throws the ball, it has been 0 seconds since she threw it.
Since x represents the amount of seconds, we can find the height of the ball (f(x)) by substituting x in as 0.
0 squared is 0, 0 minus zero is 0, and 0+3 = 3, so
Meaning that when Sarina threw the ball, it's height was 3 feet.
Hope this helped!
Step-by-step explanation:
Question 2:
y + 3 = 10
Solution:
Given,y + 3 = 10
By subtracting 3 from both sides, we get
y + 3 – 3 = 10 – 3
⇒ y = 10 – 3
⇒ y = 7
Question 3:
6 = z + 2
Solution:
Given,6 = z + 2
By substractin
only an example
ANSWER
3.5 ounces
EXPLANATION
We have to solve the system for x, the number of ounces of lotion in the small bottle. To do so, we can use the method of elimination. First, multiply the first equation by 2,
Then, subtract the second equation from this,
Solve for x,
Divide both sides by 3,
Hence, the small bottle of lotion has 3.5 ounces
Using the normal distribution, it is found that the percentage of people spend <u>between 41 and 56 minutes</u> watching TV shows on this streaming service is:
a) 13.5%
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of 71, hence
- The standard deviation is of 15, hence
The proportion <u>between 41 and 56 minutes</u> is the <u>p-value of Z when X = 56 subtracted by the p-value of Z when X = 41</u>, hence:
X = 56:
has a p-value of 0.16
X = 41:
has a p-value of 0.025
0.16 - 0.025 = 0.135
0.135 x 100% = 13.5%
Hence option a is correct.
A similar problem is given at brainly.com/question/25769446