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3 years ago

Find the product (3a2 - 3b) (2a2 - b)

Mathematics

1 answer:

Natasha2012 [34]3 years ago

4 0

(3a^2 - 3b)(2a^2 - b)

3a^2(2a^2 - b) - 3b(2a^2 - b) =
6a^4 - 3a^2b - 6a^2b + 3b^2 =
6a^4 -9a^2b + 3b^2 <===

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Wholemark is an internet order business that sells one popular New Year greeting card once a year. The cost of the paper on the

erma4kov [3.2K]

Answer:

The optimal production quantity is 9,322 cards.

Step-by-step explanation:

The information provided is:

Cost of the paper = $0.05 per card

Cost of printing = $0.15 per card

Selling price = $2.15 per card

Number of region (n) = 4

Mean demand = 2000

Standard deviation = 500

Compute the total cost per card as follows:

Total cost per card = Cost of the paper + Cost of printing

= $0.05 + $0.15

= $0.20

Compute the total demand as follows:

Total demand = Mean × n

= 2000 × 4

= 8000

Compute the standard deviation of total demand as follows:

$SD_{\text{total demand}}=\sqrt{500^{2}\times 4}=1000$

Compute the profit earned per card as follows:

Profit = Selling Price - Total Cost Price

= $2.15 - $0.20

= $1.95

The loss incurred per card is:

Loss = Total Cost Price = $0.20

Compute the optimal probability as follows:

$\text{Optimal probability}=\frac{\text{Profit}}{\text{Profit+Loss}}$

$=\frac{1.95}{1.95+0.20}\\\\=\frac{1.95}{2.15}\\\\=0.9069767\\\\\approx 0.907$

Use Excel's NORMSINV{0.907} function to find the Z-score.

z = 1.322

Compute the optimal production quantity for the card as follows:

$\text{Optimal Production Quantity}=\text{Total Demand}+(z\times SD_{\text{total demand}}) \\$

$=8000+(1.322\times 1000)\\=8000+1322\\=9322$

Thus, the optimal production quantity is 9,322 cards.

8 0

2 years ago

3. Grad point question for a quiz Graph the inequality. A. x -3 D. x≤-3

LUCKY_DIMON [66]

Answer:

The answer most likely would be x > -3

Step-by-step explanation:

It would be this because it's a opened dot and not a closed one. A closed dot would have the greater or less than sign with the line underneath it

REMEMBER if it is shaded to the right then the inequality points to the right (>). If it is shaded to the left the inequality points to the left (<)

HOPE THIS HELPS

3 0

3 years ago

PLEASE HELP ME TY<3 !

Juliette [100K]

Answer:

27/111

Step-by-step explanation:

add 27+41+14+29 = 111

the number of child ticket over the total number of all the tickets on Saturday and Sunday

7 0

3 years ago

PLEASEEE HELP ME ASAP!!

denpristay [2]

Answer:

Hence,

The measure of ∠A is 60.065°

$\m\angle A= 60.065$

Step-by-step explanation:

Given:

ΔABC is a Right Angle Triangle at ∠ B = 90°

BC = Opposite side to ∠A = 13 unit

AC = Hypotenuse = 15 unit

To Find:

m∠A = ?

Solution:

In Right Angle Triangle ABC ,Sine Identity,

$\sin A= \dfrac{\textrm{side opposite to angle A}}{Hypotenuse}\\$

Substituting the values we get

$\sin A= \dfrac{BC}{AC}=\dfrac{13}{15}=0.8666\\\angle A=\sin^{-1}(0.8666)\\m\angle A= 60.065\°$

Hence,

The measure of ∠A is 60.065°

$\m\angle A= 60.065$

7 0

3 years ago

At a football game, a vender sold a combined total of 147 sodas and hot dogs. The number of hot dogs sold was 47 less than the n

snow_tiger [21]

The answer is 100 hot dogs were sold

6 0

3 years ago