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Novay_Z [31]
2 years ago
9

Plane A is descending toward the local airport, and plane B is ascending from the same airport. Plane A is descending at a rate

of 2,500 feet per minute. Plane B is ascending at a rate of 4,000 feet per minute. If plane A is currently at an altitude of 14,000 feet and plane B is at an altitude of 1,000 feet, how long will it take them to be at the same altitude? The equation representing plane A’s descent is y = -2,500x + 14,000. The equation representing plane B’s ascent is y = 4,000x + 1,000. In both equations, y represents altitude and x represents time in minutes.
Mathematics
1 answer:
Bas_tet [7]2 years ago
5 0

Answer: 2 minutes

Step-by-step explanation:

Given the following :

Plane A's descent :

y = -2,500x + 14,000

Plane B's Ascent :

y = 4,000x + 1,000

where y = altitude x = minute

Time to be at the same altitude :

Being at the same altitude means ;

Plane A's descent = Plane B's Ascent

-2,500x + 14,000 = 4,000x + 1,000

-2500x - 4000x = 1000 - 14000

-6500x = - 13000

x = 13000 / 6500

x = 2

x = 2minutes.

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Answer:

75

Step-by-step explanation:

75m/hr

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3 years ago
Can anyone help me asap plzz.Solve the inequality. (a + 5.7 > –2.3) (A)a > 3.4 (B)a > 8 (C)a > –3.4 (D)a > –8
Eduardwww [97]

Answer:

Solve the inequality. a + 5.7 > –2.3

(A)a > 3.4

(B)a > 8

(C)a > –3.4

<u>(D)a > –8</u>

Step-by-step explanation:

a+5.7>-2.3\\-5.7    \\a>-8

8 0
2 years ago
1 - ½ = ____ whats the answer pls
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6 0
2 years ago
The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballga
sergiy2304 [10]

Answer:

dependent events since P(A and B) is not equal to P(A) * P(B)

Step-by-step explanation:

According to the Question,

  • Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.

Thus, The events A, B and A∩B are:

A - Jane will go to a ballgame on Monday;

B - Kate will go to a ballgame on Monday;

A∩B - Kate and Jane both go to the ballgame on Monday.

  • P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.
  • Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52

So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)

3 0
3 years ago
Identify the inverse g(x) of the given relation f(x).
Leno4ka [110]

Answer:

g(x) = {(3, 8), (1, 4), (-1,0), (-3, 4);

Step-by-step explanation:

Recall and use the fact that, the domain of a relation becomes the range of its inverse and vice-versa.

Base on the possible answers ,the given relation is f(x) = {(8,3), (4, 1), (0, -1), (4,-3)}

To find an inverse relation for f(x), we need to swap the x and y coordinates of f(x).

The inverse of f(x) will have the ordered pairs: (3,8),(1,4),(-1,0),(-3,-4)

Therefore the correct choice is g(x) = {(3, 8), (1, 4), (-1,0), (-3, 4);

8 0
3 years ago
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