Answer:
Part a) to find the maximum height of the snowball, you have to differentiate the function. Therefore you get ----> dh/dt= -32x-8 . Now equate this to zero and solve for x. x= (-1)/4 now sub this value in to find h(x) [note: i'm talking about the original function] . I got h max = h((-1)/4) = 9 which is the max height.
Step-by-step explanation:
I'm not too sure about the other questions. Sorry
Answer:
Step-by-step explanation:
the perimeter of the semi-circle would be the diameter plus the circumference of half of the circle.
They want to know the perimeter of a square using the diameter of the sem-circle as ONE side, so the perimeter of the square would be 4 times the ONE side.
We should recall:
diameter = 2 times the radius circumference of a cirlce = 2π r
How do we find the diameter of the of the semi circle?
The perimeter of the semi circle is given as 108 cm
Perimeter of the semicirle = 2r + π r diameter plus semi circumference
108 = r ( 2 + π) factor out the r and solve for r
108 / (2 + π) = r divide both sides by ( 2 + r)
Now we know r, the perimeter of the squqre is 4 times 2r or 8r
perimeter of square = 8 [ 108 / (2 + π) ] π I used 3.14
= 864 / 5.14
= 168.1 cm I got rounded to nearest tenth
<em>When I re-checked by work I found a few math, logic and calculation errors. Please re-check my answer for any more mistakes.</em>
I believe the answer may be B.
Using variable concepts, it is found that:
- The independent quantity is the money loaned.
- The dependent quantity is the money paid back with interest.
<h3>What is the relation between a function and the dependent and independent variables?</h3>
A function has the following format:
, in which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
Then, it can be said that the input of the function is the independent variable and the output is the dependent variable.
In this problem:
- The input is the amount loaned, hence it is the independent quantity.
- The output is the amount paid back with interest, hence it is the dependent quantity.
You can learn more about independent and dependent variables at brainly.com/question/26253877
it's a:> ur welcome
Step-by-step explanation:
ok so I'll show u a trick when it < or > with a line under it it's a closed circle and where ever th x is is what side the line will be going so the x is on the left side so the arrow will be going left hope this helps ur probably a 6th or 5th grader lol