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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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A price is decreased by 24% and is now £372.40.<br>Work out the original price.​
goldfiish [28.3K]

Answer:

Step-by-step explanation:

Subtract the discount from 100 to get the percentage of the original price.

Multiply the final price by 100.

Divide by the percentage in Step One

5 0
3 years ago
9. Carla has $200 in her bank account.
Firdavs [7]

(a) Linear Equation:   f(x) = 200 - 20x

(b) x-intercept : (10,0)

(c) y-intercept : (0,200)

(d) Domain : {0,1,2,3,4,5,6,7,8,9,10}

    Range : {0,1,2,...,200}

Step-by-step explanation:

Step 1: As we can see in graph, money in Carla is decreasing in multiples of 20 can be referred as 20x.

Every week $20 is getting deducted from the total amount of $200.

Step 2: (a) So we can quote it in equation as,

f(x) = 200 - 20x

where x represents number of weeks

Step 3: (b) x-intercept is where value of y becomes 0.

So, referring graph we can determine x intercept as x = 10. Point (10,0). which also means no money left in account.

Step 4: (c) y-intercept is where value of x becomes 0.

So, referring graph we can determine y intercept as y = 200. Point (0,200). which is starting value of money in account.

Step 5: (d) Domain : {0,1,2,3,4,5,6,7,8,9,10}

                  Range : {0,1,2,...,200}

4 0
3 years ago
Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
denis-greek [22]

Answer:

I believe it is 14.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
3.6x107<br> (2.5x106) (1.6x103)
denis23 [38]

Answer:

16822454.4 is the answer

6 0
3 years ago
The lateral area of a cone is 400 pi cm squared. The radius is 10 cm. Find the slant height to the nearest tenth.
Ilia_Sergeevich [38]

Answer:

Option A. 40\ cm

Step-by-step explanation:

we know that

The lateral area of a cone is equal to

LA=\pi rl

we have

LA=400\pi \ cm^{2}

r=10\ cm

substitute and solve for l (slant height)

400\pi=\pi (10)l

simplify

400=(10)l

l=400/10=40\ cm

8 0
3 years ago
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