Answer:
99 units.
Step-by-step explanation:
The cost function for manufacturing <em>x</em> units of a certain product is:
We want to find the number of units manufactured at a cost of $8350. Therefore:
Subtract 8350 from both sides:
This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:
In this case, a = 1, b = -15, and c = -8316. Thus:
Simplify:
Evaluate:
Therefore, our solutions are:
We cannot produce negative items, so we can ignore the second answer.
Therefore, for a cost of $8350, 99 items are being produced.
Answer:
512
Step-by-step explanation:
or is the 4 4 a fraction? if it was a fraction, it is 32 bc 4 4 = 1.
Answer:
25.12
Step-by-step explanation:
You would multiply 3.14 times 8 to get 2512. From there you can notice that there are 2 points after the decimal place so you need to move it over 2 places. Your final answer would be 25.12.
The ones that appear are A B and C
Answer:
A = (16π -32) in²
P = (4π +8√2) in
Step-by-step explanation:
The area is that of a quarter-circle of radius 8 inches less half the area of a square with side length 8 inches. Two formulas are useful:
area of a circle = πr² . . . . .r = radius
area of a square = s² . . . . s = side length
Then your area is ...
A = (1/4)π(8 in)² - (1/2)(8 in)² = (64 in²)(π/4 -1/2)
A = (16π -32) in²
____
The applicable formulas for the side lengths of your figure are ...
arc BD = (1/4)(2πr) = π(r/2) = π(8 in)/2 = 4π in
segment BD = (8 in)√2
The perimeter is the sum of these lengths, so is ...
P = (4π +8√2) in
_____
Of course, you are very familiar with the fact that an isosceles right triangle with side lengths 1 has a hypotenuse of length √(1²+1²) = √2. Scaling the triangle by a factor of 8 inches means the segment AB will be 8√2 inches long.
