Answer:
6x^2 + 4x
Step-by-step explanation:
g(x) + f(x)
= -8x^2 - 3x + 5 + 2x^2 + 7x - 5
= -8x^2 + 2x^2 - 3x + 7x + 5 - 5
= - 6x^2 + 4x
The height of the pole at which the monkey is at the top is 10.2 feet.
<h3>
Trigonometric ratio</h3>
Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.
Let h represent the height of the pole, hence using trigonometric ratio:
tan(23) = h/24
h = 10.2 feet
The height of the pole at which the monkey is at the top is 10.2 feet.
Find out more on Trigonometric ratio at: brainly.com/question/4326804
Which measure of central tendency best describes this situation:
The number of apples in 2-lb bags?
Solution: The best measure of central tendency to describe the numbers of apples in 2-lb bags is mean. Because the variable under consideration is numeric and probably we would not see outliers in 2-lb bags.
Mean is the defined as the sum of observations divided by the number of observation. The mean takes into account all the observation of the data. Mean is most preferable when the data is numeric and there are no outliers in the data.
Therefore, in the given situation, where we have number of apples in 2-lb bags, the mean will be best to use.
Answer:
Step-by-step explanation:
r = Radius
h = Height
Volume of cylinder = 
Surface area is given by
Differentiating with respect to radius we get
Equating with zero we get
So, the value of the function is minimum at 
So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.
Surface area
The minimum surface area is .
