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AnnyKZ [126]
3 years ago
15

A map uses a scale of 1 in. : 25 mi. If the distance between two cities on the map is 3.5 inches, what is the actual distance be

tween the two cities?
Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0
1/2 : 12.5
1 : 25
3 : 75

75 + 12.5 = 87.5
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Find the particular solution that satifies the differential equation and the initial condition. f"(x) = x2 f'(0) = 8, f(0) = 4
viva [34]

Answer:

f(x) = x^4/12 + 8x + 4

Step-by-step explanation:

f"(x) = x^2

Integrate both sides with respect to x

f'(x) = ∫ x^2 dx

= (x^2+1)/2+1

= (x^3)/3 + C

f(0) = 8

Put X = 0

f'(0) = 0+ C

8 = 0 + C

C= 8

f'(x) = x^3/3 + 8

Integrate f(x) again with respect to x

f(x) = ∫ (x^3 / 3 ) +8 dx

= ∫ x^3 / 3 dx + ∫8dx

= x^(3+1) / 3(3+1) + 8x + D

= x^4/12 + 8x + D

f(0) = 4

Put X = 0

f(0) = 0 + 0 + D

4 = D

Therefore

f(x) = x^4 /12 + 8x + 4

5 0
3 years ago
What is the probability of rolling a number less than or equal to eight with the sum of two dice, given that at least one of the
Daniel [21]

Answer:

4/11

Step-by-step explanation:

Outcomes that meet your requirement are

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for a total of 4 favorable outcomes.

There are 11 outcomes in which one die shows a 6.

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6 0
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What number must be added to both sides of the equation to complete the square ?
77julia77 [94]
First consider (x+c)^2 where c is just a random constant. if we expand this by foil (which is distributive property twice), we get x^2 + 2cx+ c^2. we want to find c^2 and to do that, we can first find c. we can find c by looking at the 2cx term. this term should match with 12x, so therefore 2c = 12 so c = 6. this also implies that c^2 = 36.
note that for this problem i was working backwards which is a very powerful problem solving tool: start with what you want to attain, and then see how you can go from where you are now to get to your destination.

let me know if you have any questions!!!

7 0
3 years ago
If you take four away four my number then divide the answer by three you will get 11
Svetlanka [38]
37. 37-4=33 33÷3=11 hope i helped
7 0
3 years ago
What does 9.6 divided by 0.08
Mila [183]

Answer:

120

Step-by-step explanation:

9.6÷0.08=120

hope this helped

5 0
3 years ago
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