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REY [17]
3 years ago
10

Please explain your work, thank you!!

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
8 0

Answer:

ez

Step-by-step explanation:

Verdich [7]3 years ago
3 0
The answer to the question is 1/12
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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
Write in exponential notation
r-ruslan [8.4K]

Answer:

12^5

Step-by-step explanation:

12^5 means 12*12*12*12*12 (5 twelves)

6 0
2 years ago
Simplify: 4b^5 + 10b^5
Veronika [31]

Answer:

14 b^5

Step-by-step explanation:

you can do all mathmatical operations to same variables with same power

3 0
3 years ago
Read 2 more answers
What is the common ratio between successive terms in a sequence?<br> 1.5, 1.2,0.96, 0.768, ...
Vanyuwa [196]

9514 1404 393

Answer:

  0.8

Step-by-step explanation:

The ratio of the first two terms is ...

  1.2/1.5 = 4/5 = 0.8

That is also the ratio of successive adjacent terms.

  0.96/1.2 = 0.768/0.96 = 0.8

The common ratio is 0.8.

6 0
3 years ago
Jasmine is painting a storage box she bought at a garage sale. The storage box is in the shape of a rectangular prism with the d
natulia [17]

Answer:

240

Step-by-step explanation:

4 x 2 x 3 = 24 x 10 = 240 milimeters

8 0
2 years ago
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