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Vaselesa [24]
3 years ago
13

Assume that it costs Apple approximately

Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0
By taking c(x)=28,900+100x+0.01x2, we arrive at x=1445000/50c-5001; c≠5001/50
We can determine that 1,445,000 can be produced and it will cost $50.00
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Tony allows his customers to create their own pizza. The customers choose exactly one type of crust, sauce, cheese, and meat for
Natalka [10]

In cases like these, you simply have to multiply the choices you have for each step.

In fact, you can choose between 4 different crusts. For each of these crusts you can choose 4 different sauces. This means that there are 4\cdot 4 = 16 choices at this point. In fact, if we call the crust options 1,2,3,4 and the sauce options A,B,C,D, the 16 possible combinations are

1A,\ 1B,\ 1C,\ 1D,\ 2A,\ 2B,\ 2C,\ 2D,\ 3A,\ 3B,\ 3C,\ 3D,\ 4A,\ 4B,\ 4C,\ 4D

From here, you keep going multiplying the number of options for each step, for a total of

4\cdot 4 \cdot 3 \cdot 4 = 192

4 0
3 years ago
Read 2 more answers
Need help the last one is 1,-5 would really appreciate it
artcher [175]

Answer:

3,1

Step-by-step explanation:

4 0
3 years ago
In triangle abc, the perimeter is 36, and ab=ac. line ad is perpendicular to bc at the point d, and triangle abd's perimeter is
Musya8 [376]
Let x=ab=ac, and y=bc, and z=ad.

Since the perimeter of the triangle abc is 36, you have:

Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36

The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.

Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).

The perimeter of the triangle abd is 30:

Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60

So, we have two equations on x, y and z:

(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60

Substitute 2x + y by 36 from (eq.1) in (eq.2):

(eq.2') 36 + 2z = 60

And solve for z:

36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12

The measure of ad is 12.

If you prefer a less algebraic reasoning:

- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).

- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:

ad = 30 - (36/2) = 30 - 18 = 12
4 0
3 years ago
Read 2 more answers
Evaluate the given integral by changing to polar coordinates. 8xy dA D , where D is the disk with center the origin and radius 9
BabaBlast [244]

Answer:

0

Step-by-step explanation:

∫∫8xydA

converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.

So,

∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ

So we integrate r from 0 to 9 and θ from 0 to 2π.

∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ

= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ

= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ

= 8[6561/4]∫(cosθsinθ)dθ

= 13122∫(cosθsinθ)dθ

Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2

Substituting this we have

13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ

= 13122/2[-cos2θ]/2 from 0 to 2π

13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]

= -13122/4[cos4π - cos(0)]

= -13122/4[1 - 1]

= -13122/4 × 0

= 0

5 0
2 years ago
The measures of the angles of a triangle are shown in the figure below. solve for x
Vlad1618 [11]

Answer:

67 degrees

Step-by-step explanation:

All angles in a triangle add up to 180 degrees. So...

23 + x + 90 = 180

113 + x = 180

x = 67 degrees

8 0
3 years ago
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