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arsen [322]
4 years ago
4

A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New

York and 1 intermediate stops on the way back to Chicago. Suppose you make a graph on the altitude of the plane for one day, whit time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?
Mathematics
2 answers:
Studentka2010 [4]4 years ago
5 0

Answer:

7

Step-by-step explanation:

The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.

Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.

Next, when the plane lands in New York the altitude will touch the horizontal axis.

Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.

Lastly the altitude will touch the axis when plane lands back in Chicago.

So, cumulatively the altitude will touch the horizontal axis seven times.

salantis [7]4 years ago
5 0

Answer:

5 is the right answer

Step-by-step explanation:

The graph will touch the horizontal x each time the altitude is zero.

Tha happens: 1st in Chicago before taking off, 2nd, in the intermediate place before getting to NY, 3rd in NY, 4th in the intermediate place before getting to Ch, and 5th when arrives to Ch.

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Find a formula for the general term of the sequence 5 3 , − 6 9 , 7 27 , − 8 81 , 9 243 , assuming that the pattern of the first
Mkey [24]

Answer:

The formula to the sequence

5/3, -6/9, 7/27, -8/81, 9/243, ...

is

(-1)^n. (4 + n). 3^(-n)

For n = 1, 2, 3, ...

Step-by-step explanation:

The sequence is

5/3, - 6/9, 7/27, - 8/81, 9/243, ...

We notice the following

- That the numbers are alternating between - and +

- That the numerator of a number is one greater than the numerator of the preceding number. The first number being 5.

- That the denominator of a number is 3 raised to the power of (2 minus the position of the number)

Using these observations, we can write a formula for the sequence.

(-1)^n for n = 1, 2, 3, ... takes care of the alternation between + and -

(4 + n) for n = 1, 2, 3, ... takes care of the numerators 5, 6, 7, 8, ...

3^(-n) for n = 1, 2, 3, ... takes care of the denominators 3, 9, 27, 81, 243, ...

Combining these, we have the formula to be

(-1)^n. (4 + n). 3^(-n)

For n = 1, 2, 3, ...

4 0
4 years ago
How do I solve this?
LenKa [72]

Answer:

63

Step-by-step explanation:

Follow PEMDAS, as well as the left -> right rule.

Note that PEMDAS is the order of operations in which you should solve, and =

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction.

First, look at the problem. The problem gives you:

42 ÷ 2 x (11 - 8)

Using PEMDAS, first, solve the parenthesis:

11 - 8 = 3

Next, use the left -> right rule to solve the rest.

42 ÷ 2 x 3

(42 ÷ 2) x 3

(21) x 3 = 63

63 is your answer.

~

8 0
3 years ago
Read 2 more answers
Alberto has 62 pennies, 41 nickels,and 29 dimes. What stratelgy can Alberto use to find the total number of coins? Describe it a
nordsb [41]
Alberto can add all of the numbers of coins up to find the total number of coins. Now, you can add the recent total to 343 to get the FINAL amount of coins.
6 0
3 years ago
Melinda paints 7/8 of a wall in 1 1/6 hours. What part of a wall does Melinda paint in 1 minute
Ivanshal [37]
1 1/6 hrs.....1 hr = 60 minutes......1/6 hr = 1/6(60) = 60/6 = 10 minutes....therefore, 1 1/6 hrs = 70 minutes

(7/8) / 70 = x / 1....7/8 of the wall to 70 minutes = x  wall in 1 minute
cross multiply
(70)(x) = (7/8)(1)
70x = 7/8
x = (7/8) / 70
x = 7/8 * 1/70
x = 7 / 560 reduces to 1/80 <== she paints 1/80 of the wall in 1 minute
3 0
3 years ago
The perimeter of a triangle is 28 feet. One side of the triangle is 5 feet longer than the second side. The third side is 8 feet
Hitman42 [59]

side one is 5 side two is 10 and the third side is 13. 28 is not divisible by three so if one side i 5 ft longer and another side is 8 ft longer then you add them 5+8=13 then subtract 13 from the perimeter 28-13=15 then divide 15 by 3 and get 5 5 5. add 5 (5+5) (5+8).

7 0
3 years ago
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