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3241004551 [841]
2 years ago
11

A fried chicken franchise finds that the demand equation for its new roast chicken product, "Roasted Rooster," is given by q = 3

7 p0.85 where p is the price (in dollars) per quarter-chicken serving and q is the number of quarter-chicken servings that can be sold per hour at this price. Find E(p)
Mathematics
2 answers:
sdas [7]2 years ago
6 0

Answer: E(p) = 6/7√37/q

Step-by-step explanation: if q = 37/p^0.85, then we are to make p the subject formula.

Now multiply both sides by p^0.85, we will have

P^0.85q = 37

Divide through by q, we get

P^0.85 =37/q

But 0.85 = 6/7

So we take the 6/7 root of both sides, we get

P = 6/7√37/q

Therefore E(p) = 6/7√37/q

Shkiper50 [21]2 years ago
4 0

Answer:

E(t) = number of hours x (37/q)^(0.85).

Step-by-step explanation:

q = 37 x p^(0.85)

Divide both sides by 37, we have

(q/37) = p^(0.85)

Multiply both sides by p^(-0.85), we have

p^(-0.85) x (q/37) = p(0.85) x p(-0.85)

p^(-0.85) x (q/37) = 1

Divide both sides by (q/37), we have

p^(-0.85) = 37/q

Therefore,

p = (37/q)^(0.85). The "minus" sign will be removed

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A box contains ten cards labeled Q, R, S, T, U, V, W, X, Y, and Z. One card will be randomly chosen.
lina2011 [118]

Answer:

2/5

Step-by-step explanation:

Picking 4 cards out of 10, and as a fraction, it would be 2/5

4 0
2 years ago
Read 2 more answers
Keisha estimates 259+372 by rounding each number to the nearest 10. What is Keisha's estimate of the sum?
nikklg [1K]

Answer:

630

Step-by-step explanation:

259 rounded to the nearest 10 is 260

372 rounded to the nearest 10 is 370

260+370=630

Hope this helps!

8 0
2 years ago
Expand (2x-3y)^4 using Pascal's Triangle. Show work
deff fn [24]
(2x+3y)⁴
1) let 2x = a   and 3y = b

(a+b)⁴ = a⁴ + a³b + a²b² + ab³ + b⁴
Now let's find the coefficient of each factor using Pascal Triangle
     
                     0     |               1
                     1     |            1    1
                     2     |          1   2   1
                     3     |         1  3   3   1
                     4     |       1  4   6    4  1

0,1,2,3,4,.. represent the exponents of binomials 
Since our binomial has a 4th exponents, the coefficients are respectively:

(1)a⁴ + (4)a³b + (6)a²b² + (4)ab³ + (1)b⁴
Now replace a and b by their real values in (1):

2⁴x⁴ +(4)8x³(3y) + (6)(2²x²)(3²y²) + (4)(2x)(3³y³) + (1)(3⁴)(y⁴)

16x⁴ + 96x³y + 216x²y² + 216xy³ + 81y⁴
3 0
2 years ago
An unloaded truck and trailer, with the driver aboard, weighs 30{,}00030,00030, comma, 000 pounds. When fully loaded, the truck
kari74 [83]

Answer:

1131 pounds.

Step-by-step explanation:

We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.

First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:

\text{Weight of tires of the fully loaded semi-truck}=18\times 3,300

\text{Weight of tires of the fully loaded semi-truck}=59,400

The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.

\text{Weight of 26 pallets of cargo}=59,400-30,000

\text{Weight of 26 pallets of cargo}=29,400

Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.

\text{Average weight of one pallet of cargo}=\frac{29,400}{26}

\text{Average weight of one pallet of cargo}=1130.769230769

\text{Average weight of one pallet of cargo}\approx 1131

Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.

3 0
2 years ago
A child rides a pony on a circular track whose radius is 5.25 m. a) Find the distance traveled and the displacement after the ch
AlexFokin [52]

Answer:

a) distance halfway = 16.49 [m], displacement halfway = 10.5 [m]

b) distrance traveled increases when the child completes one circuit of the track.

Step-by-step explanation:

a) Distance is a scalar quantity that tells you how much space a body has covered when moving. Displacement is a vector quantity that tells you how far from its initial position and object is after moving.

In this case, the child goes around the track only halfway from point 1 to point 2. We know the circunference or perimeter of a circle to be 2*PI*radius. We also know the child only when halfway, so we need to divide the perimeter by 2, thus we get distance = PI*radius

  • distance halfway = (PI)*(5.25) = 16.49 [m]

And now that we know the definition of displacement, we can easily see that the child went from point 1 to point 2 which is located at a distance of 1 diameter from point 1:

  • displacement halfway = D = 2*radius = 2(5.25) = 10.5 [m]

b)What happens to the distance when the child completes one circuit? The distance will increase beause he is now completing the circuit so he is covering more ground in his movement:

  • distance circuit = 2*(PI)*radius = 2(PI)(5.25) = 32.99 [m]

32.99 is more than 16.49 so we are certain that the distance increases.

3 0
2 years ago
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