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mina [271]
3 years ago
11

Solve the given differential equation by separation of variables. csc(y) dx sec2(x) dy

Mathematics
1 answer:
Elden [556K]3 years ago
3 0
Try this solution:
dx/siny=dy/cos2x;
sinydy=cos2xdx;
cosy=-1/2 sin2x+C.
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Work out the reciprocal of 0.4
Bond [772]

Answer:

1/0.4=10/4=5/2...............

4 0
2 years ago
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Do all ratios compare a part to a whole number? Explain
STALIN [3.7K]
Yes and no... 

A ratio can be defined in a new ways. Let's say I have a party with twelve people, four of whom are male and eight of whom are female. The ratio of male to female guests would be written as 4:8, neither of which is the whole number (12) but which instead relate parts of the whole. I could alternatively write the ratio of male guests to total guests as 4/12. This does compare it to the whole. A ratio relates two quantities by showing how many times one quantity is contained within or contains another quantity.

By the phrasing of your question, I'm not sure if you maybe mean whole number as an integer. If that's the case, then yes, ratios are almost always written as integers. If I had something like 8.5:7, I would multiply it by two to get 17:14, which is a correct ratio.
4 0
3 years ago
Match each whole number with a rational, exponential expression. 1. 216 2. 512 3. 8 4. 729 5. 27 6. 343
Crank

Answer:

216 - 6^3

512 - 2^9

8 - 2^3

729 - 3^6

27 - 3^3

343 - 7^3

6 0
3 years ago
Simplify 4x^5 X 6x^10
sattari [20]
Use photo math it’s really helpful
6 0
2 years ago
Leo paid $2400 in interest on an amount borrowed for 10 years at a 4% annual simple interest rate. How much did Leo borrow?
hodyreva [135]
Answer: $6000

Explanation:

1) Simple interest means that the interests are calcualted over the original amount borrowed and they are the same every year.

2) yearly interest = interest / number of years = $2400 / 10 = $240

3) the yearly interest equals the amount borrowed times the simple intereset rate:

=> $240 = A * 4%

=> $240 = A * 0.04

=> A = $240 / 0.04 = $6000

You can do the same in one step:

interest = A * simple interest rate * number of years

=>  A = interest / [simple interest rate * number of years] = $2400 / [4% * 10]

A = $2400 / (0.04 * 10) = $2400 / 0.4 = $ 6000.

And that is the answer: he borrowed $6000
6 0
3 years ago
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