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Citrus2011 [14]
3 years ago
5

A company's weekly profit can be modeled by the equation y=-0.5x^2+50x-300 where y is the profit (in dollars) and x is the numbe

r of items sold. What is their maximum weekly profit ?
Mathematics
1 answer:
Lerok [7]3 years ago
8 0

Answer:

Step-by-step explanation:

The number of items sold that gives the max profit is found in the vertex of this quadratic, (h, k). Lucky for us we have a formula for k that will give us exactly what we are looking for, and nothing else.

k=c-\frac{b^2}{4a} where a = -.5, b = 50, and c = -300:

k=-300-\frac{50^2}{4(-.5)}=-300+1250=950

The max profit is $950 per week

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The length of the hypotenuse of a 30 -60 -90 triangle is 16. What is the perimeter?
Brums [2.3K]
For a Right triangle with 30-60-90 degrees, the sides have specific ratios. If we assign a length of 1 to the short side (opposite 30), the hypotenuse will be 2, and the other leg will be square root 3.

Given that the hypotenuse is 16 in this triangle, we will need to multiply each of our ratios given above by 8 (16/2)

So, the short side is 8, the hypotenuse is 16 and the last leg is 8(square root 3). Adding these three sides we get

8 + 16 + 8 sqrt(3)
24 + 8 sqrt(3)

The answer is B
3 0
3 years ago
What is P versus NP.
katrin2010 [14]

Answer:

Hope this helps...

Step-by-step explanation:

P stands for polynomial time. NP stands for non-deterministic polynomial time. Definitions: Polynomial time means that the complexity of the algorithm is O(n^k), where n is the size of your data (e. g. number of elements in a list to be sorted), and k is a constant.

Now, a German man named Norbert Blum has claimed to have solved the above riddle, which is properly known as the P vs NP problem.

3 0
3 years ago
Read 2 more answers
38. What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round t
svetoff [14.1K]
1. The surface area of a cone S is S= \pi  r^{2}+  \pi rl, where r is the radius of the base and l is the slant height.

2. The slant height l is found as follows:

l^{2}= OC^{2}+ OB^{2}
l^{2}= 12^{2}+ 62^{2}=144+3844=3988

l= \sqrt{3988}=63.15

3. 

A=\pi r^{2}+ \pi rl=3.14(12)^{2}+3.14*12*63.15

= 452.16+2379.492 =2831.652 ( m^{2} )

 = 452.16+2379.492 =2831.652 ( m^{2} )

4. The answer is C

8 0
3 years ago
Read 2 more answers
A flagpole has a height of 10 yards. It will be supported by 3 cables, each of which is attached to the flagpole at a point 4 ya
Contact [7]
Pytagorean theorem

height10
attached at 10-4=6 yards from bottom
8 yards from base to away


a^2+b^2=c^2
a and b are side legnths and c=hypotonuse
so therfore we are given a and b and we must solve for c


so
6=height
8=base

6^2+8^2=c^2
36+64=c^2
100=c^2
square root
10=c

so therfor the legnth of each cable is 10 yards
3 cables so 3 times 10=30

30 yards needed

7 0
3 years ago
7x + 2y = 17<br>2x - 2y = 1<br>=​
DerKrebs [107]

Answer:

(2,\frac{3}{2}})

Step-by-step explanation:

For finding the system of equations you can use one of two methods. There's the elimination method and also the substitution method. For this I think the best way we could go at solving this is by using the elimination method. Since we can eliminate the 2y. We can then solve for x and then we'll go from there.

\left \{ +{{7x+2y=17} \atop {2x-2y=1}} \right. \\\\9x=18\\x=2

Now that we know what x is we can substitute it for one of the equations and then we will be able to solve for y.

7x+2y=17\\7(2)+2y=17\\14+2y=17\\2y=3\\y=\frac{3}{2}

So now we have the x and the y and once we place them together we can get the solution of those two equations, and the solution is (2,\frac{3}{2}}).

5 0
3 years ago
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