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Nutka1998 [239]
3 years ago
7

Simplify the product. 3p^4(4p^4 + 7p^3 + 4p + 1)

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
8 0

Answer:

The answer to your question is         12p⁸ + 21p⁷ + 12p⁵ + 3p⁴        

Step-by-step explanation:

Product                     3p⁴ ( 4p⁴ + 7p³ + 4p + 1)

Process

multiply 3p⁴ by each term

                                  (3p⁴)(4p⁴) + (3p⁴)(7p³) + (3p⁴)(4p) + (1)(3p⁴)

Simplify

                                  (12p⁴⁺⁴) + (21p⁴ ⁺³) + (12p⁴⁺¹) + (3p⁴)

Result

                                  12p⁸ + 21p⁷ + 12p⁵ + 3p⁴                                    

densk [106]3 years ago
3 0

Answer:

12 p ^8  +  21 p ^7  +  12 p ^5  +  3 p^ 4

Step-by-step explanation:

3p^4(4p^4 + 7p^3 + 4p + 1)

Simplify:

=12 p ^8  +  21 p ^7  +  12 p ^5  +  3 p^ 4

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Molly spends 5 hours a week in art class. How many minutes does she spend in art class every week?
vampirchik [111]

Answer:

she spends 300 minutes in art class a week

Step-by-step explanation:

5 x 60 is 300

7 0
3 years ago
A French restaurant used 848,540 ounces of cream last year. This year, due to a menu update, it used 40% less. How much cream di
Vsevolod [243]

Answer:

339416

Step-by-step explanation:

848,540 * 40/100 = 339416

4 0
3 years ago
Kelly runs a restaurant that sells two kinds of desserts. Kelly knows the restaurant must make at least 25 dozen and at most 45
MissTica

Answer:

  (c, m) = (45, 10)

Step-by-step explanation:

A dozen White Chocolate Blizzards generate more income and take less flour than a dozen Mint Breezes, so production of those should clearly be maximized. Making 45 dozen Blizzards does not use all the flour, so the remaining flour can be used to make Breezes.

Maximum Blizzards that can be made: 45 dz. Flour used: 45×5 oz = 225 oz.

The remaining flour is ...

  315 oz -225 oz = 90 oz

This is enough for (90 oz)/(9 oz/dz) = 10 dozen Mint Breezes. This is in the required range of 2 to 15 dozen.

Kelly should make 45 dozen White Chocolate Blizzards and 10 dozen Mint Breezes: (c, m) = (45, 10).

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In the attached graph, we have reversed the applicable inequalities so the feasible region shows up white, instead of shaded with 5 different colors. The objective function is the green line, shown at the point that maximizes income. (c, m) ⇔ (x, y)

8 0
3 years ago
The total number of cats and dogs at the shelteris 125. there are 5 more cats than dogs
juin [17]
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For example, yours would look like 125/6=62.5, and rounding down to 60.

Then check your answer by adding 60 and 65, the number of cats. 60+65=125.

There are 60 dogs inside the kennel.
5 0
3 years ago
It takes Mario and Jessica 15 minutes to set up 5 tables. If Mario and Jessica work at a constant rate, which best describes a p
AfilCa [17]

Answer:

3 minutes per table

Step-by-step explanation:

15 minutes = 5 tables

to get how much it will be per table, divided both sides by 5

since 5 / x = 1 and x would be 5

15 / 5 minutes = 5 / 5 tables

3 minutes = 1 table

5 0
2 years ago
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