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

Mathematics

2 answers:

SOVA2 [1]2 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]2 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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Calculate the distance between the points L = (1, -1) and J=(4,-9) in the coordinate plane.

Blizzard [7]

Answer:

8.54

Step-by-step explanation:

distance formula is d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

plug in the coordinates the answer is 8.54

7 0

2 years ago

Billy spent $30 on a T-shirt a sandwich and two books the T-shirt cost $8.95 in the sandwich cost $7.25 the books each cost the

saul85 [17]

To find out how much each book cost first we will subract to find out how many 2 books cost. Then we will divide. last but not least we will check our wok. Lets do it:-

30 - 8.95 = 21.05
21.05 - 7.25 = 13.80

CHECK OUR WORK:-

13.80 + 7.25 = 21.05
21.05 + 8.95 = 30
We were RIGHT!!!

Now lets divide:-

13.80 ÷ 2 = 6.90
1 book costs $6.90.

CHECK OUR WORK:-

6.90 × 2 = 13.80
We were RIGHT!!!!

So, 1 book costs $6.90.

Hope i helped ya!!

5 0

2 years ago

Read 2 more answers

Please help. Solve 5x + 7 > 17.

valentina_108 [34]

Answer:

$\large\boxed{\{x\ |\ x>2\}}$