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lions [1.4K]
3 years ago
12

Airplane at 19,200 feet descending at a rate of 40 feet per second. Another airplane takes off and ascends at a rate of 60 feet

per second. After how many seconds will the airplanes be at the same height? What is the height
Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0

Answer:

Step-by-step explanation:

Let t = flying time in seconds for each plane

Descending rate = 40 ft/s

Ascending rate = 60 ft/s

Descending height, hd= 19200 - 40t

Ascending height, ha = 60t

Equating hd = ha, therefore:

60t = 19200-40t

60t + 40t = 19200

100t = 19200

t = 19200/100

t = 192 seconds

h = 19200 - 192(40)

h = 19200 - 7680

= 11,520 ft.

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Mandarinka [93]
One bottle holds 750 mL of lemonade. How much will 24 bottles hold

750 ml x 24 bottles = 18 000 ml

0.75 l x 24 = 18 liters
7 0
3 years ago
Which function is a quadratic function? a(x) = –2x^3 + 2x – 6 b(x) = 5x^3 + 8x^2 + 3 c(x) = –8x^2 + 3x – 5 d(x) = 6x^4 + 2x – 3
Sedaia [141]

Answer:

c(x) = –8x^2 + 3x – 5 is a quadratic

Step-by-step explanation:

A quadratic function involves the 2nd power of x:  x^2, and may (or may not) involve the 1st and zeroth power of x.

a(x) = -2x^3 is not a quadratic because of that exponent 3; in a quadratic, the highest power is always 2.

b(x) = 5x^3 + 8x^2 + 3 is not a quadratic for the same reason that a(x) is not a quadratic.

c(x) = –8x^2 + 3x – 5 is a quadratic:  the highest power of x is x^2, the other powers are x^1 and x^0.

5 0
4 years ago
3x+4y=12 6x+2y=6 rewrite each equation and soap intercept form
miskamm [114]

  • Move 4y to the front so it should be 4y=12-3x
  • Divide the equation like how I did in the picture above then you should have y=3-3/4x
  • Then you switch it to y=-3/4x+3 and that's your answer.

Now for 6x+2y=6

  • Move 2y to the front so it looks like 2y=6-6x
  • Then you divide the equation by 2 like in the photo above and that should give you y=3-3x
  • Finally you switch the equation to y=-3x+3 because we are using the Slope Intercept Form. (Y=mx+b). That's your answer.

Sorry if my handwriting is bad.

5 0
3 years ago
Find the measurement of angle B, if a = 34 and c = 87<br> С<br> a<br> b
melisa1 [442]
A = 34°
C = 87°
B = 34°

Answer:
B is 34° because its a right triangle (90, 45, 45) so < A and < B are equals.
5 0
3 years ago
A upermarket owners cost for a 26 ounce can of coffee is 6.75. A case of coffee contains 12 cans. What profit is earned for each
VladimirAG [237]

Answer:

The correct answer is 32.88.

Step-by-step explanation:

Cost price for a 26 ounce can of coffee = 6.75.

A case of coffee contains 12 cans.

Total cost price of a case is 12 × 6.75 = 81.

Selling price of each can of coffee = 9.49.

Total selling price of a case is 12 × 9.49 = 113.88.

Total profit for selling a case of cnas of coffee is given by 113.88 - 81 = 32.88

Thus the profit for selling each can is 32.88.

4 0
3 years ago
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