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son4ous [18]
2 years ago
9

Find a formula for the nth term

Mathematics
2 answers:
Jet001 [13]2 years ago
8 0
Answer:
given,a= 9 and d= -2
nth term=a+(n-1)d
=9+(n-1)-2
=9-2n+2
=11-2n

Therefore nth term = 11-2n
USPshnik [31]2 years ago
6 0

Answer:

arithmetic sequence formula: first term + (n - 1)common difference

9 + (n - 1)-2

9 + -2n + 2

= -2n + 11

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On which days did it rain less then one-fifth of an inch
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Answer:

on which days did it rain less then one-fifth of an inch

Step-by-step explanation:

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3 years ago
CAN SOMEONE PLEASE HELP!!
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Answer:

the second pair

Step-by-step explanation:

you divide the longer side by the shorter side

do the same thing to the other pair

compare the numbers

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5 0
3 years ago
A bibliophile plans to put a total of seven books on her marble shelf. She can choose these seven books from a mixture of works
Tcecarenko [31]

Answer:

1715

Step-by-step explanation:

GIVEN: A bibliophile plans to put a total of seven books on her marble shelf. She can choose these seven books from a mixture of works from Antiquity and works on Post-modernism, of which there are seven each.

TO FIND: If the shelf must contain at least four works from Antiquity, and one on Post-Modernism, then how many ways can he select seven books to go on the shelf.

SOLUTION:

Total number of books available =14

As there must be at least 4 books on  Antiquity and 1 on Post-modernism

Therefore,

when there are 6 Antiquity books and 1 on Post-modernism.

total ways of selection =^7C_6\times^7C_1=49

when there are 5 Antiquity books and 2 on Post-modernism.

total ways of selection =^7C_5\times^7C_2=21\times21

                                                          =441

when there are 4 Antiquity books on 3 books on Post-modernism.

total ways of selection =^7C4\times^7C3=35\times35

                                                           =1225

Total ways of selection are =1225+441+49

                                             =1715

Hence the total ways of selection such that there are at least 4 books on  Antiquity and 1 on Post-modernism.

6 0
3 years ago
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olga nikolaevna [1]

Answer:

minimum value of C is 46

Step-by-step explanation:

A sketch of the constraints is advised.

Sketch

4x + 3y = 24

with intercepts at (0, 8) and (6, 0)

x + 3y = 15

with intercepts at (0, 5) and (15, 0)

The solutions to both are above the lines.

Solve 4x + 3y = 24 and x + 3y = 15 simultaneously to obtain point of intersection at (3, 4)

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(0, 8), (3, 4) and (15, 0)

Evaluate the objective function at each vertex

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(15, 0) → (6 × 15) + (7 × 0) = 90 + 0 = 90

The minimum value of C is 46 when x = 3 and y = 4

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