Answer:
12
Step-by-step explanation:
 
        
             
        
        
        
Domain is all real numbers
range
hmm
we know that x^2=a positive number
then multiply it by that negative -3
therefor the range is going to be mostly negative
if we make the x-5  equal to zero, then there is no negative, so 
wher x=5, then f(5)=0+4=4
the highest positive number you can get is f(5)=4
so therfor
domain=all real number
range is x≤4
        
             
        
        
        
Answer:
<u> 105</u> students could prefer kiwi if there are 357 total students.
Step-by-step explanation:
Given:
The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5.
Now, to find number of students prefer kiwi if there are 357 total students.
Let the students prefer pineapple be 
And the students prefer kiwi be 
Total students = 357.
So, we set an equation to get the number of students who prefer kiwi.
According to question:


<em>Dividing both sides by 17 we get:</em>

<em>Thus, students prefer kiwi are:</em>


Therefore, 105 students could prefer kiwi if there are 357 total students.
 
        
             
        
        
        
Volume:
 
<h2>
Explanation:</h2>
A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

So:

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

And the height of the cylinder is:

So:

The volume of a hemisphere is half the volume of a sphere, hence:

Finally, the volume of the composite figure is:

<h2>Learn more:</h2>
Volume of cone: brainly.com/question/4383003
#LearnWithBrainly
 
        
             
        
        
        
Answer:
a) 8/19 chance
b) 7/19 chance (I'm not 100% sure)
Step-by-step explanation:
A) since there are 8 prime numbers from 1-19 we can say that the probability is 8 over 19 or 8/19