We are given with the equation y"+ 9 y = t^2 * e^3 t + 6 and asked to determine the general solution to this equation. we convert the equation into r^2 + 9 = 0. The solution to this equation is r = +/- 3i. This solution converted to trigonometric function is equivalent to <span>y</span>= <span>C1 </span>cos3t + <span>C2 </span>sin<span>3t. </span>
Cathy and Iris have 259,459,200 ways to skip countries.
Data;
- Number of countries they are planning to visit = 9
- Number of countries they would like to visit = 13
<h3>Combination</h3>
To solve this problem, we would have to use a mathematical procedure known as combination.
Let us calculate the number of countries that would have to skip.

To decide which country they have to skip, it would be 4 out of 13.

Let's solve this

Cathy and Iris have 259,459,200 ways to skip countries.
Learn more on combination here;
brainly.com/question/12468032
Answer:
c) 6(5m2+2m+3)
Step-by-step explanation:
Given expression = 30m2 + 12m + 18
The simplified form can be calculated by taking GCF
The GCF of 30m2, 12m and 18 is = 6
Therefore, the expression becomes
(6*5m2 + 6*2m + 6*3)
=> 6(5m2+2m+3) so option c is correct
Answer:
B
Step-by-step explanation:
It cannot be D, because it costs way more, it cannot be C because there are other options that provide better value. We can finally determine that it is B because for 3 pens more it is only 9 cents more
Answer:
I'm pretty sure it's D.40 because it's the biggest number and 6+13+17 is only a bit bigger than 24. Also, all the numbers add up to 60 and 27 is only a bit less than 50% of 60