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pickupchik [31]
3 years ago
5

I need help with these 3 questions ASAP. please give me a step by step explanation.

Mathematics
2 answers:
SOVA2 [1]3 years ago
8 0
For number 2. The pilot flew 4 circuits and in total by the 5th day he flew 14 right?
Alchen [17]3 years ago
4 0

Answer:

1) first term = 2

Step-by-step explanation:

1)  n =14 ;   d = 6 ;  Sum = 574

    Sum =n/2 * (2a + (n-1)d)

     574 = 14/2 * (2a + (14-1) * 6)

     574   = 7 * (2a + 13 * 6)

  574   = 7 * (2a +  78)

   574/ 7 = 2a + 78

     82    = 2a + 78

 82 - 78 = 2a

   4 = 2a

 a = 4/2

a =2

2) No.of circuits on first day = 14 - 12  = 2 circuits

Total by the end of fifth day  = 2 + 5 +8 +11 +14 = 40

3) n = 20 ;   a = 32768

  r = term 2  / term 1 = 16384 / 32768 = 1/2

 nth term = ar^(n-1)

20th term = 32768 * (1/2)^19

                 = 32768 * (1/ 524288)

                 = 32768 / 524288

                  = 1/16

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What is a simple formula to solve a math sequence? Or a couple formulas if possible? Thanks!
-Dominant- [34]
2 normal types of sequences:

1. arythmetic sequences: each term is the same distance to the next term, example, 2,4,6,8, distance is 2

2. geometric sequences: the ratio of consecutive terms is the same, example: 2,4,8,16, ratio is 4:2=2:1, 2/1=2


the nth term is denoted by a_{n}
the first term is represented by a_{1}

for arythmetic sequences, the nth tem is
a_{n}=a_{1}(n-1)d where d=distance between each term

for geometric sequences the nth term is
[tex] a_{n}=a_{1}r^{n-1} where r=ratio betwen consecutive terms

7 0
3 years ago
What is the answer to this equation
GuDViN [60]
(-72×-11) / (-7x-48) =

792 / 336 = 2.36

or the fraction in simplest terms is 33 / 14
5 0
2 years ago
Rewrite the following equation in standard form and determine if there is a solution.
Debora [2.8K]

Answer:

| x + 4 |  = -1    No solution

Step-by-step explanation:

                                                 3 | x + 4 | + 12 = 9

Subtract 12 from both sides:         3 | x + 4 |  = -3

Divide both sides by 3:                     | x + 4 |  = -1

Absolute value cannot be negative, so there is no solution.

5 0
2 years ago
Solve w^2 + 7w - 18 = 0<br><br>with the steps pls​
Bess [88]

Answer:

w=2  w = -9

Step-by-step explanation:

w^2 + 7w - 18 = 0

We can factor this equation

What 2 numbers multiply to -18 and add to 7

9*-2 = -18

9+-2 = 7

(w-2) (w+9) = 0

Using the zero product property

w-2 = 0    w+9 =0

w=2  w = -9

4 0
2 years ago
Read 2 more answers
Ir AB - 4x + 9. BC = 5x + 2, and AC - 56. then find the value for x, AB, BC.
tiny-mole [99]

Answer:

A B - 4 x + 9 B C = 5 x + 2 = A = 9 x/ B + 2/ B − 9 C

A C − 56 = A = 9 x /B + 2/ B − 9 C

x=A=9x/B+2x/B-9C

I hope this helps

6 0
3 years ago
Read 2 more answers
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