Answer:
General solution x = log | sec y | + C
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given


cos y dx = sin y d y

<u><em>Step(ii)</em></u>:-
now integrating on both sides , we get

by using formula

x = log | sec y | + C
<u><em>Final answer:</em></u>-
General solution x = log | sec y | + C
Answer:
There will be 128 organisms after 30 minutes.
Step-by-step explanation:
30/5=6
1.) 2*2=4
2.) 4*2=8
3.) 8*2=16
4.) 16*2=32
5.) 32*2=64
6.) 64*2=128
A trapezoid does not have a rotational line of symmetry
Answer:
x = 270 gallons
270 gallons of a 50% antifreeze solution must be mixed with 90 gallons of 10% antifreeze to get a mixture that is 40% antifreeze
Step-by-step explanation:
Let x represent the number of gallons of the 50% antifreeze solution.
The volume of the 10% antifreeze is = 90 gallons
The volume of the mixture that is 40% antifreeze = 90+x
The amount of antifreeze in the two solutions must be equal to the amount of anti freeze in the mixture;
50% of x + 10% of 90 = 40% of (90+x)
0.50(x) + 0.10(90) = 0.40(90+x)
0.50x + 9 = 36 + 0.40x
Collecting the like terms;
0.50x - 0.40x = 36-9
0.10x = 27
x = 27/0.10
x = 270 gallons
270 gallons of a 50% antifreeze solution must be mixed with 90 gallons of 10% antifreeze to get a mixture that is 40% antifreeze
He puts 100$ in the bank on the 25th week.
<h3>
What is a bank?</h3>
An example of a financial institution that lends money is a bank, which both collects deposits from the public and creates demand deposits. Through the capital markets, the bank may engage in lending activities directly or indirectly.
Banks are heavily regulated in most countries because they are essential to the financial stability and economic health of a nation. The fractional reserve banking system, in which banks maintain liquid assets that are only partially comparable to their current liabilities, has been institutionalized in the majority of countries. In addition to other constraints intended to assure liquidity, banks are often subject to minimum capital requirements based on an international set of capital norms known as the Basel Accords.
Explanation:
First term(
)= 1
Common difference= 1.25-1=0.25


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