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lys-0071 [83]
3 years ago
15

PLS HELP ME WITH Question 4

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0

Answer:

7.5 min/ mile

Step-by-step explanation:

Divide the time taken in minutes by the distance in miles

3 hours = 3 × 60 = 180 mins

3 hours 15 min = 180 + 15 = 195 mins

Average time = \frac{195}{26} = 7.5 min/ mile

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Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0
lilavasa [31]

Answer:

y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }

Step-by-step explanation:

Let,  D=\frac{d}{dx}

Now, us simplify the given differential equation and write it in terms of D,

36y''-48y'-48y=0

or, 3y''-4y'-4y=0

or, (3D^2-4D-4)y=0

We have our auxiliary equation:

3D^2-4D-4=0

or, (3D+2)(D-2)=0

or, D=2, - \frac{2}{3}

Therefore our solution is,

y=Ae^{2x}+Be^{- \frac{2}{3}x}

and, y'=2Ae^{2x}-\frac{2}{3}Be^{\frac{2}{3}x }

Applying the boundary conditions, we get,

A+B=1

2A-\frac{2}{3}B=0

Solving them gives us,

A=\frac{1}{4} ,B=\frac{3}{4}

Hence,

y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }

4 0
3 years ago
Solve: 1 × -23 = Question 9 options: -1 1 23 -23
Nonamiya [84]

Answer:

-23

Step-by-step explanation:

  • 1 × -23

1. When multiply a positive number by a negative number, the answer will always be negative.

2. When we multiply any number by 1, that number will stay the same.

  • 1 * -23
  • -23

Therefore, the answer is -23!

8 0
3 years ago
Jones of Boston borrowed $40,000, 90 day, 10% note. After 60 days Jones made an initial payment of $6,000. Assuming the U.S. Rul
nadezda [96]
check a website called math-way without the dash it might help
6 0
3 years ago
I have 1 word problem and a math problem. (word prob)A light-year is the distance that light travels in a year and is equivalent
Sati [7]

Answer:

1. 9461000000000

move the desimal in 9.461 12 places to the right to get:

9461000000000

2.

5.85 x 10^-3,

2.5 x 10^-1,

3.6 x 10^8,

8.5 x 10^8,

8.5 x 10^12

the smallest exponent is the smallest. Since 8.5 x 10^8 and 3.6 x 10^8 have the same exponent, go to the desimal

6 0
3 years ago
Which of the following ratios are equivalent to 6:9? Choose all that apply
kipiarov [429]

Answer:

Dear we can't give you an answer without the options.

Step-by-step explanation:

ratios that are equivalent to 6:9 are however

2:3, 6:9, 12:18, 18:27, 24:36, 30:45 I believe.

5 0
3 years ago
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