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dmitriy555 [2]
3 years ago
8

Valeria operates an orange juice stand. On Monday, she used 4 1/2

Mathematics
1 answer:
torisob [31]3 years ago
5 0

Answer:

0.37

Step-by-step explanation:

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A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro
pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

7 0
3 years ago
What is the slope of the line that passes through the points (3, -2) and (9, -2)?
Step2247 [10]

Answer:

0 or 0/6

Step-by-step explanation:

3+6=9

-2+0=-2

0/6=0

6 0
3 years ago
BRAINLIEST!!PLEASE HELP ME!
liberstina [14]

IF i did my math correct it should be the 2nd answer b

8 0
3 years ago
Read 2 more answers
giving out 13 points and possibly brainliest for whoever helps solve these 4 questions!!! need asap please
ololo11 [35]

Answer:

it didnt pop up the first time to answer

Step-by-step explanation:

go to de sm os and type in the equation and it will give you everything you need

4 0
2 years ago
The area of a rectangular painting is 8811 cm^(2). If the length of the painting is 99 cm , what is its width?
snow_tiger [21]

Answer:

The answer is 784,179.

Step-by-step explanation:

8811 x 8811, or 8811*2 is 77633721.

77633721 / 99 = 784,179

3 0
2 years ago
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